PEMDAS
solve this using pemdas
with step by step u might want to download so u can draw on the image linked :)
Answers
Answer:
119. Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
Related Questions
Suppose you are a district manager of a health management organization (HMO) that is monitoring the office of a local doctor or nurse in general family practice. This morning the office you are monitoring has eight office visits on the schedule. What is the probability that
(a) at least half the patients are under 15 years old? First, explain how this can be modeled as a binomial distribution with 8 trials, where success is visitor age is under 15 years old and the probability of success is .
(b) from 2 to 5 patients are 65 years old or older (include 2 and 5 )?
(c) from 2 to 5 patients are 45 years old or older (include 2 and 5 )? Hint: Success is 45 or older. Use the table to compute the probability of success on a single trial.
(d) all the patients are under 25 years of age?
(e) all the patients are 15 years old or older?
Answers
(a) The probability that at least half the patients are under 15 years old is 0.01562.
(b) The probability that from 2 to 5 patients are 65 years old or older is, 0.92179.
(c) The probability that from 2 to 5 patients are 45 years old or older is, 0.9216.
(d) The probability that all the patients are under 25 years of age is 0.00065.
(e) The probability that all the patients are 15 years old or older is 0.16777.
(a) We can model this situation as a binomial distribution with 8 trials, where success is a visitor age being under 15 years old and the probability of success is unknown.
To find the probability that at least half the patients are under 15 years old, we can use the binomial cumulative distribution function.
Assume that the probability of success (visitor age under 15) is 0.5,
The probability of at least half of the patients being under 15 is,
⇒ P(X ≥ 4) = 1 - P(X < 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3))
= 1 - (0.03125 + 0.21875 + 0.42188 + 0.3125)
= 0.01562
Therefore,
The probability that at least half the patients are under 15 years old is 0.01562.
(b) To find the probability that from 2 to 5 patients are 65 years old or older,
First find the probability of each individual case and then add them up. The probability of success (visitor age being 65 or older) on a single trial is unknown.
Assume it is 0.2. Then,
⇒ P(X = 2) = 0.29376 P(X = 3)
= 0.32496 P(X = 4)
= 0.21499 P(X = 5)
= 0.08808
Therefore, the probability that from 2 to 5 patients are 65 years old or older is,
⇒ P(2 ≤ X ≤ 5) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
= 0.29376 + 0.32496 + 0.21499 + 0.08808
= 0.92179
(c) To find the probability that from 2 to 5 patients are 45 years old or older,
We need to use a different probability of success for each individual case, depending on the age of the patients scheduled for the day.
Assume that the probability of success (visitor age being 45 or older) is 0.6. Then,
⇒ P(X = 2) = 0.2304 P(X = 3)
= 0.3456 P(X = 4)
= 0.2592 P(X = 5)
= 0.0864
Therefore, the probability that from 2 to 5 patients are 45 years old or older is,
⇒ P(2 ≤ X ≤ 5) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
= 0.2304 + 0.3456 + 0.2592 + 0.0864
= 0.9216
(d) To find the probability that all the patients are under 25 years of age, we can assume that the probability of success (visitor age under 25) is unknown.
Assume it is 0.3. Then,
⇒ P(X = 8) = [tex]0.3^8[/tex]
= 0.00065
Therefore, the probability that all the patients are under 25 years of age 0.00065.
(e) To find the probability that all the patients are 15 years old or older, we can assume that the probability of success (visitor age being 15 or older) is unknown.
Assume it is 0.8. Then,
⇒ P(X = 8) = [tex]0.8^8[/tex]
= 0.16777
Therefore, the probability that all the patients are 15 years old or older is approximately 0.16777.
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ12
7 Maryam is trying to expand and simplify (n - 2)²
Here is her working.
A
(n-2)² = (n − 2)(n-2)
= n²-2n - 2n-4
= n²-4n-4
Maryam's answer is wrong.
(a) Find Maryam's mistake.
I should be
Answers
Answer[tex]n^{2} -4n+4[/tex]
Step-by-step explanation:
had to keep the minus than add a plus sign
an electrician needs 2/5 rolls of electrical wire in each room in a house. How many rooms can he wire with 2 rolls of wire?
Answers
Answer:
The number of rooms he can wire with 3/4 of a roll of wire is 1/4.
What are proportions?
Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given that, an electrician needs 3 rolls of electrical wire to wire each room in a house.
Let the number of rooms he can wire with 3/4 of a roll of wire be x.
Now, the proportion is
3/1 = 3/4/x
3x=3/4
x=1/4
State whether the angle is an angle of elevation or an angle of depression.
Answers
The angles are classified as follows
angle 1 angle of elevation
angle 2 angle of depression
angle 3 angle of elevation
angle 4 angle of depression
What is angle of elevation?The angle of elevation is the angle between the horizontal plane and the line of sight or upward direction to an object or point that is above the observer. It is usually measured from the observer's eye to the object or point of interest, and is expressed in degrees or radians.
The angle of elevation is commonly used in trigonometry to solve problems involving right triangles and heights of objects.
The angle of depression is the angle between the horizontal plane and the line of sight or downward direction to an object or point that is below the observer. It is measured from the observer's eye to the object or point of interest, and is also expressed in degrees or radians.
Learn more about angle of depression at:
https://brainly.com/question/17193804
#SPJ1
The sum of two numbers is 67 and the difference is 13. What are the numbers?
Answers
Answer:
40 and 27
Step-by-step explanation:
Answer:Let's call the two numbers x and y.
From the problem, we know that:
x + y = 67 (equation 1)
and
x - y = 13 (equation 2)
To solve for x and y, we can use the method of elimination. We can add equations 1 and 2 to eliminate y:
(x + y) + (x - y) = 67 + 13
Simplifying this equation, we get:
2x = 80
Dividing both sides by 2, we get:
x = 40
Now we can use equation 1 to solve for y:
x + y = 67
40 + y = 67
Subtracting 40 from both sides, we get:
y = 27
Therefore, the two numbers are 40 and 27.
Step-by-step explanation:
I don’t completely understand the question or how to work it out
Answers
Answer:
Step-by-step explanation:
[tex]\frac{3x+9}{12x} \\we \ can \ write \ 3x+9 \ as 3(x+3)\\\frac{3x+9}{12x}=\frac{3(x+3)}{3*4x}=\frac{x+3}{4x}[/tex]
Answer:
[tex]\frac{x+3}{4x}[/tex]
Step-by-step explanation:
[tex]\frac{3(x)+9}{12x}[/tex]
[tex]\frac{3(x+3)}{12x}[/tex]
simply 1 1/3 + 3 2/3
Answers
Answer:
5
Step-by-step explanation:
First, we can add the whole numbers together.
1 + 3 = 4
Next, we know that the denominators (base/bottom of fraction) of the fractions are the same, meaning we simply add the numerators (top of fraction).
1/3 + 2/3 = 3/3
3/3 is equal to 1.
Now, we add the 4 from above to this 1 to get our answer, 5.
Feel free to comment down if this doesn't make sense, and I can explain it in a different way.
PLEASE SHOW WORK!!!!!!!!!
Answers
Based on the information provided, the probability of both events happening is 0.011 or 1.1% (option A).
How to calculate the probability in this case?The probability can be described as the proportion between the desired outcome happening and the total of possible outcomes. Using this principle, let's calculate the probability:
Probability of Gypsy finishing first: 1 / 10 = 0.1
Probability of Silver Rush finishing second: 1/ 9 = 0.11
Total probability 0.1 x 0.11 = 0.011 or 1.1% (0.011 x 100)
Therefore, the answer that matches the probability is option A.
Learn more about probability in https://brainly.com/question/30034780
#SPJ1
Which expression must be added to 3x - 7 to equal 0?
Answers
Answer:
To find out which expression must be added to 3x - 7 to equal 0, we need to solve the equation:
3x - 7 + a = 0
where "a" is the expression to be added.
To solve for "a", we can isolate "a" on one side of the equation by adding 7 to both sides:
3x - 7 + a + 7 = 0 + 7
Simplifying the left side, we get:
3x + a = 7
Therefore, the expression that must be added to 3x - 7 to equal 0 is:
a = -3x + 7
We can check that this is correct by substituting -3x + 7 for "a" in the original equation:
3x - 7 + (-3x + 7) = 0
Simplifying the left side, we get:
3x - 3x - 7 + 7 = 0
0 = 0
The equation is true, which confirms that the expression -3x + 7 must be added to 3x - 7 to equal 0.
Step-by-step explanation:
I do not understand this question, please help
Answers
To simplify 3(w+11) /6w, we can first simplify the numerator by distributing the 3:
3(w+11) = 3w + 33
Now we have:
(3w + 33) / 6w
We can further simplify by factoring out a 3 from the numerator:
3(w + 11) = 3 * 1(w + 11)
So we have:
(3 * 1(w + 11)) / 6w
The 3's cancel out, leaving:
(w + 11) / 2w
Therefore, the fully simplified expression is (w + 11) / 2w.
Make sure you explain why and show all your work.
In Triangle LMO, T is the midpoint of LM, J is the midpoint of MO, and P is the midpoint of LO. Also, LT = 9, JM = 12, and OL = 32.
What is the perimeter of the Triangle TJP?
Answers
First, we can find the length of TJ. Since T is the midpoint of LM, we know that LT = TM. Therefore, we can find TM by subtracting the length of LT from the length of OL: TM = OL - LT = 32 - 9 = 23. Since J is the midpoint of MO, we know that JM = JO. Therefore, we can find JO by subtracting the length of JM from the length of OL: JO = OL - JM = 32 - 12 = 20. Finally, we can find the length of TJ by using the Pythagorean theorem on right triangle LJT: TJ^2 = LT^2 + JT^2. Since we know that LT = 9 and JT = JM/2 = 6, we can solve for TJ: TJ^2 = 9^2 + 6^2 = 81 + 36 = 117. Taking the square root of both sides, we get TJ = sqrt(117) = 3sqrt(13).
Next, we can find the length of JP. Since P is the midpoint of LO, we know that JP is half the length of LO: JP = LO/2 = 32/2 = 16.
Finally, we can find the length of TP. Since T, J, and P are all midpoints of their respective sides, we know that triangle TJP is similar to triangle LMO, with a scale factor of 1/2. Therefore, the length of TP is half the length of LM: TP = LM/2 = TM/2 = 23/2.
Now we can add up the lengths of the three sides to find the perimeter of triangle TJP: TJ + JP + TP = 3sqrt(13) + 16 + 23/2 = 3sqrt(13) + 32 + 11.5 = 3sqrt(13) + 43.5. Therefore, the perimeter of triangle TJP is 3sqrt(13) + 43.5.
marbles a bag contains two red marbles, four green ones, one lavender one, four yellows, and four orange marbles. how many sets of four marbles include one of each color other than lavender?
Answers
The number of sets is 128 by using the multiplication principle.
The multiplication principle states that if there are k events, and if the first event can happen in n_1 ways, the second event can happen in n_2 ways, and so on, then the k events can happen in n_1 × n_2 × ... × n_k ways.
To find the number of sets of four marbles include one of each color other than lavender, A bag contains two red marbles, four green ones, one lavender one, four yellows, and four orange marbles.
There are two red marbles.
There are four green ones.
There are four yellows.
There are four orange marbles.
So, total of 2 + 4 + 1 + 4 + 4 = 15 marbles in the bag.
To find the total number of sets of four marbles including one of each color other than lavender, use the multiplication principle.
In this question, there are 5 events (choosing one of each color).
The first event can happen in 2 ways.
The second event can happen in 4 ways.
The third event can happen in 4 ways.
The fourth event can happen in 4 ways.
Therefore, by the multiplication principle, the total number of sets of four marbles includes one of each color other than lavender
= 2 × 4 × 4 × 4 ⇒ 128 sets.
To know more about the "multiplication principle": https://brainly.com/question/16939973
#SPJ11
y=x^(2) Transformation: Reflects across x-axis Horizontal shift 5 units to the right Vertical shift up 4 units Vertical shrink by (1)/(2) Domain: 3,9
Answers
The domain of the function is y = -1/2(x-5)^2 + 4, for 3 ≤ x ≤ 9.
Domain of function explained.
To transform the function y=x^2 according to the given specifications, we can use the following steps:
Reflecting across the x-axis: This transformation reflects the function across the x-axis, which means that every y-coordinate is multiplied by -1. Therefore, the function becomes y = -x^2.Horizontal shift 5 units to the right: This transformation moves the entire function horizontally to the right by 5 units. To achieve this, we subtract 5 from the x-coordinate. Therefore, the function becomes y = -(x-5)^2.Vertical shift up 4 units: This transformation moves the entire function vertically up by 4 units. To achieve this, we add 4 to the y-coordinate. Therefore, the function becomes y = -(x-5)^2 + 4.Vertical shrink by (1/2): This transformation shrinks the function vertically by a factor of 1/2, which means that every y-coordinate is multiplied by 1/2. Therefore, the function becomes y = -1/2(x-5)^2 + 4.Domain: Finally, the domain of the transformed function is given as [3, 9], which means that the function is only defined for x-values between 3 and 9. Therefore, we need to restrict the domain of the function to this interval. Therefore, the final transformed function is:
Therefore the transformation is y = -1/2(x-5)^2 + 4, for 3 ≤ x ≤ 9.
Learn more about domain of function below.
https://brainly.com/question/30242164
#SPJ1
List the values for a , b , and c from the quadratic above x^2+3x-4=0
Answers
1, 3, -4
Step-by-step explanation:Second-degree functions are known as quadratics.
Quadratic Functions
Quadratic functions are second-degree. This means that the highest exponent of any term is 2. When graphed, quadratic functions form parabolas, which look like U-shape.
To find the a, b, and c values of a quadratic, the function must be set equal to zero and in standard form. Remember that standard form is when the terms are written in descending order of degree (exponent). This equation given is already set equal to zero and in standard form.
Standard Form
When in standard form, quadratics are written like ax^2+bx+c. The coefficients go in alphabetic order.
The a-value is always the coefficient of x^2The b-value is always the coefficient of xThe c-value is always the constantThis means that for the given equation: a = 1, b = 3, c = -4. These values can be used in different ways, mainly the quadratic equation.
The diameter of a circle is 24 cm. Find its area to the nearest whole number.
Answers
The area of the circle given a diameter of 24 inches is 452 square centimeters
Calculatng the area of a circle.To calculate the area of a circle with a diameter of 24cm, we first need to find the radius.
The radius is half the diameter, so it would be 12cm.
Once we have the radius, we can use the formula for the area of a circle, which is A = πr².
Substituting the value of the radius into the formula gives us:
A = π(12)² = 144π
Evaluate
A = 452cm²
Hence, the area of the circle is 144π square centimeters or 452cm²
To learn more about areas visit,
https://brainly.com/question/22972014
#SPJ1
The straight line depreciation equation for a luxury car is y = −3,400x + 85,000.
a. What is the original price of the car?
b. How much value does the car lose per year?
c. How many years will it take for the car to totally depreciate?
Answers
The original price of the car is 85,000. b. The car loses 3,400 in value per year. c. The car will totally depreciate after 25 years. This is because 85,000 divided by 3,400 equals 25.
What is value?Value in math is the result of a mathematical operation or equation. It is a number or quantity assigned to a mathematical expression. Value can also refer to the worth of an object or activity, such as the value of a specific type of currency or the value of a certain action. Value can refer to the magnitude of a number or a quantity relative to other numbers or quantities, such as the value of a particular number on a scale.
a. The original price of the car can be calculated by setting x=0 in the equation, which gives 85,000. This means that the original price of the car is 85,000.
b. The value of the car decreases by 3,400 per year. This is calculated by looking at the coefficient of x in the equation, which is −3,400. This means that for every year that passes, the value of the car decreases by 3,400.
c. The car will take 25 years to totally depreciate. This is calculated by setting the equation equal to 0 and solving for x. The equation 0 = −3,400x + 85,000 can be rearranged to x = 25. This means that the car will take 25 years to totally depreciate.
To know more about value click-
https://brainly.com/question/843074
#SPJ1
What 3-dimensional shape is formed by this net? PLS HELP
Answers
Answer:
A triangular prism.
Step-by-step explanation:
Answer: Triangular prism
Step-by-step explanation:
A triangular prism is a three dimensional shape, consisting of two triangular and three rectangular faces. Based on the image provided, and the description of a triangular prism, we can deduct this three dimensional shape is a triangular prism.
(09.02 MC)
A quadrilateral PQRS is inscribed in a circle, as shown below:
A quadrilateral PQRS is inscribed in a circle. The measure of angle PQR is 85 degrees.
What is the measure of arc PQR? (1 point)
Answers
Accοrding tο the given infοrmatiοn the measure οf arc PQR is 170 degrees.
What is quadrilateral ?A quadrilateral is a fοur-sided pοlygοn, which is a twο-dimensiοnal geοmetric figure with straight sides. Quadrilaterals can have a variety οf shapes, sizes, and angles, but they all have fοur sides and fοur vertices (cοrners).
Since the quadrilateral PQRS is inscribed in a circle, we knοw that angle PQR is an inscribed angle οf arc PR. By the Inscribed Angle Theοrem, the measure οf an inscribed angle is equal tο half the measure οf its intercepted arc. Therefοre, the measure οf arc PQR is twice the measure οf angle PQR, which is:
2 * 85 = 170 degrees.
Therefοre, accοrding tο the given infοrmatiοn the measure οf arc PQR is 170 degrees.
To know more about quadrilateral visit :
https://brainly.com/question/29635320
#SPJ1
Write a formula you can use to find the sum of the measurements of a interior angels of a polygon.Use it to find the sum of the measures of the interior angel of a polygon with 11 sides.
Answers
The sum of the measures of the interior angles of an 11-sided polygon is 1620 degrees.
The formula to find the sum of the measures of the interior angles of a polygon is:
Sum of interior angles = (n - 2) × 180 degrees
Where n: number of sides of the polygon.
Using this formula, we can find the sum of the measures of the interior angles of a polygon with 11 sides:
Sum of interior angles = (11 - 2) × 180 degrees
Sum of interior angles = 9 × 180 degrees
Sum of interior angles = 1620 degrees
Learn more about polygon here:
https://brainly.com/question/24464711
#SPJ1
Can someone find the median
Answers
Answer: 17.5
Step-by-step explanation:
First find the two numbers (data values) that are in the middle. Thats 15 and 20. When you have two numbers in the middle of a data set you average them. (Buy adding 15 and 20 then dividing by 2) So the answer is 17.5
Select all ordered pairs that correspond to input-output pairs of the function y = -7x + 3,
A
(4,0)
B.
(
639)
DO
C (
853)
D. (5,32)
Select all order pairs to that correspond to input-output pairs of the function y=-7x+3
Answers
The ordered pairs that correspond to input-output pairs of the function y=-7x+3 are (5,32).
The input-output pairs of the function y=-7x+3 can be determined by plugging in the input value x into the function and solving for y. The formula y=-7x+3 can be used to calculate the output value corresponding to a given input value x. For example, if x=4, then y=-7(4)+3=-28+3=5, so the input-output pair is (4,5). Similarly, if x=5, then y=-7(5)+3=-35+3=32, so the input-output pair is (5,-32). The ordered pairs that correspond to input-output pairs of the function y=-7x+3 and (5,32).
Learn more about ordered pair here:
https://brainly.com/question/30805001
#SPJ4
Which research scenario would most likely be biased against non-voters? Select all that apply.
1. a convenience sample collected at a political rally used to determine candidate preferences
2. a volunteer sample collected at a political rally used to determine candidate preferences
3. a simple random sample of all non-voters used to determine why they don’t vote
4. a simple random sample of all eligible voters, some of whom didn’t have time to vote
5. a volunteer sample collected at large department store to determine who they voted for
Answers
Research scenariο wοuld mοst likely be biased against nοn-vοters are :
a cοnvenience sample cοllected at a pοlitical rally used tο determine candidate preferences.a vοlunteer sample cοllected at a pοlitical rally used tο determine candidate preferences.a vοlunteer sample cοllected at large department stοre tο determine whο they vοted fοr.What is Bias?Bias in research refers tο a systematic deviatiοn frοm the truth in the results οf a study, usually due tο factοrs that affect the sampling, measurement, οr analysis οf data. A research scenariο is biased against nοn-vοters if it systematically under-represents οr misrepresents the views, οpiniοns, οr behaviοrs οf peοple whο dοn't vοte in the sample οr pοpulatiοn under study.
In the given οptiοns, the scenariοs that are biased against nοn-vοters are:
a cοnvenience sample cοllected at a pοlitical rally used tο determine candidate preferences: A cοnvenience sample is a nοn-randοm sample that is cοmpοsed οf individuals whο are easily accessible οr available. A cοnvenience sample cοllected at a pοlitical rally is biased against nοn-vοters because it is likely tο οver-represent peοple whο are pοlitically active, mοtivated, and engaged, and under-represent peοple whο are apathetic, disengaged, οr unable tο attend the rally, including nοn-vοters.a vοlunteer sample cοllected at a pοlitical rally used tο determine candidate preferences: A vοlunteer sample is a nοn-randοm sample that is cοmpοsed οf individuals whο self-select οr vοlunteer tο participate in the study. A vοlunteer sample cοllected at a pοlitical rally is biased against nοn-vοters because it is likely tο οver-represent peοple whο are pοlitically active, mοtivated, and engaged, and under-represent peοple whο are apathetic, disengaged, οr unable tο attend the rally, including nοn-vοters.a vοlunteer sample cοllected at large department stοre tο determine whο they vοted fοr: This scenariο is biased against nοn-vοters fοr similar reasοns as the previοus twο scenariοs. A vοlunteer sample cοllected at a large department stοre is likely tο οver-represent peοple whο are willing tο participate in surveys, and under-represent peοple whο are nοt interested, busy, οr unable tο participate, including nοn-vοters.Therefοre, research scenariο wοuld mοst likely be biased against nοn-vοters are :
a cοnvenience sample cοllected at a pοlitical rally used tο determine candidate preferences.a vοlunteer sample cοllected at a pοlitical rally used tο determine candidate preferences.a vοlunteer sample cοllected at large department stοre tο determine whο they vοted fοr.To know more about bias visit :
https://brainly.com/question/30461915
#SPJ1
Suppose X is an exponential random variable with mean μ , i.e.,
X∼μExpo(1). Invert appropriate UMP tests of H0 :μ=μ0 to find (a) a 90% confidence interval for μ of the form [∗,[infinity]); (b) a 90% confidence interval for μ of the form [0,∗]
Answers
The answer of the given question based on the exponential random variable with mean i.e. [tex]\mu o \leq \bar x + \frac{z \alpha \sigma}{\sqrt{n} }[/tex].
What is Null hypothesis?The null hypothesis is statement or assumption about population parameter that is tested for its validity using statistical methods. It is statement of no effect, no difference, or no relationship between the variables of interest,
(a) To test the null hypothesis [tex]H$ o: \mu =\mu o[/tex], we can use a one-sided test with rejection region R = [tex]\bar x \geq \mu o + \frac{z \alpha \sigma}{\sqrt{n} }[/tex], is the critical value from the Standard Normal distribution that corresponds to a significance level of α = 0.10 (since we want a 90% confidence interval). If the observed sample mean falls in the rejection region R, we reject the null hypothesis and conclude that the true mean μ is greater than μ0 with 90% confidence.
To find the confidence interval of the form [∗,[infinity]), we can solve the inequality [tex]\bar x \geq \mu o + \frac{z \alpha \sigma}{\sqrt{n} }[/tex] for [tex]\mu[/tex] which gives:
[tex]\mu o \leq \bar x - \frac{z \alpha \sigma}{\sqrt{n} }[/tex]
To know more about Critical value, visit:
https://brainly.com/question/30902234
#SPJ1
there is a mound of g pounds of gravel in a quarry. throughout the day, 300 pounds of gravel is added to the mound. two orders of 600 pounds are sold and the gravel is removed from the mound. at the end of the day, the mound has 1400 pounds of gravel.
solve for g.
Answers
Answer:
2000 pounds
Step-by-step explanation:
Let's start with the initial amount of gravel in the mound, which is g pounds.
After 300 pounds are added, the total amount of gravel in the mound becomes:
g + 300
Then, two orders of 600 pounds are sold and removed from the mound. So, the total amount of gravel in the mound after these two orders are sold becomes:
g + 300 - 2(600) = g + 300 - 1200 = g - 900
Finally, we know that at the end of the day, the mound has 1400 pounds of gravel. So, we can set up an equation:
g - 900 + 300 = 1400
Simplifying this equation, we get:
g - 600 = 1400
Adding 600 to both sides, we get:
g = 2000
Therefore, the initial amount of gravel in the mound was 2000 pounds.
Answer:
2000 pounds
Step-by-step explanation:
sorry it took a while;)
Joey has a storage cabinet in the shape of a rectangular prism with a base length of 3 feet, a base width of 2 feet, and a height of 8 feet.
A. Joey is going to paint the lateral area and the top of the storage cabinet, but he will not paint the bottom on which it sits. What is the surface area of the storage cabinet that Joey is going to paint?
B. What is the total surface area of the cabinet, which includes the bottom?
C. Find the volume of the cabinet to determine the amount of space Joey will have to use if he wants to fill the cabinet with supplies?
Answers
Answer: 592
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(8*10+12*10+12*8)=592
Frank has $50 dollars to buy party supplies. He wants to buy chips and dip. He has already bought seven bags of chips that costs him $32. The dip he wants to buy has a unit cost of $2.25 per container. Write and solve an equation, or inequality, to determine the number of containers of dip Frank can buy.
Help-
Answers
Answer: 32+2.25(8)=50
Step-by-step explanation:
If you have $50 and waste $32 that leaves you with $18.
If each dip cost 2.25 you can have a total of 8 dips.
32+2.25(x)=50
32+2.25(8)=50
3. Meghan earns money babysitting. She charges $5 an hour before
8 P.M. and $8 an hour after 8 P.M. She earned $26 for her last
babysitting job. Between what hours did Meghan babysit?
Answers
Answer:
Let's call the number of hours before 8 P.M. that Meghan babysat "x", and the number of hours after 8 P.M. "y". We can set up two equations based on the information given:
5x + 8y = 26 (this is the total amount she earned)
x + y = total number of hours she babysat
We can solve for one of the variables in terms of the other and substitute it into the first equation:
y = total number of hours - x
5x + 8(total number of hours - x) = 26
5x + 8total number of hours - 8x = 26
3x = 26 - 8total number of hours
x = (26 - 8total number of hours)/3
Now we can try different values for the total number of hours she babysat to see if we get a whole number for x:
If she babysat for 1 hour, x = (26 - 8)/3 = 6, which is not a whole number.
If she babysat for 2 hours, x = (26 - 16)/3 = 3, which is a whole number.
If she babysat for 3 hours, x = (26 - 24)/3 = 0.67, which is not a whole number.
So we know she babysat for 2 hours before 8 P.M. and 1 hour after 8 P.M.:
5(2) + 8(1) = 18
2 + 1 = 3 total hours babysat
Therefore, Meghan babysat between 6 P.M. and 9 P.M.
Step-by-step explanation:
At Downtown Dogs, 10 of the last 15 customers wanted mustard on their hot dogs. What is the experimental probability that the next customer will want mustard?
Answers
The experimental probability that the next customer will want mustard on their hot dog is 2/3.
The ratio of the number of times an event has occurred to the total number of trials or observations is the experimental probability that the event will occur.
We are told that 10 out of the previous 15 customers at Downtown Dogs requested mustard on their hot dogs in this instance. Hence, the following is the experimental likelihood that a client will request mustard on their hot dog:
Number of consumers who requested mustard divided by the total number of customers is the experimental probability.
10/15 is the experimental probability.
By dividing the numerator and denominator of the fraction by 5, we may simplify it to:
2/3 is the experimental probability.
The experimental likelihood that the following consumer will request mustard on their hot dog is therefore 2/3.
To know more about experimental probability visit:
https://brainly.com/question/30694293
#SPJ9
Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if
any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks,
below.
f(-2)=? f(2)=?
Answers
By using the graph, the key features of the function include the following:
The function's domain = {-∞, ∞}.The function's range = {-1, ∞}.The x-intercepts = (0, 0)The y-intercept = (0, 0)f(-2) = 3.f(2) = -1.How to determine the domain and range?In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = {-∞, ∞} or {x|x ∈ R}.
Range = {-1, ∞}.
Based on the graph, the x-intercept and y-intercept of the function both occur at the origin (0, 0).
When x = -2, the y-value is given by:
f(-2) = 3.
When x = 2, the y-value is given by:
f(2) = -1.
Read more on domain here: brainly.com/question/17440903
#SPJ1
Segment AB is on the line y − 9 = −4(x + 1), and segment CD is on the line y − 6 = one fourth(x − 3). Which statement proves the relationship of segments AB and CD?
Answers
Answer: To prove the relationship between segments AB and CD, we need to determine if they are parallel, perpendicular, or neither.
First, let's find the slope of line AB:
y − 9 = −4(x + 1)
y − 9 = −4x − 4
y = −4x + 5
So the slope of line AB is -4.
Now let's find the slope of line CD:
y − 6 = one fourth(x − 3)
y − 6 = (1/4)x − (3/4)
y = (1/4)x + (21/4)
So the slope of line CD is 1/4.
Since the slopes of the two lines are not equal and not negative reciprocals, they are neither parallel nor perpendicular. Therefore, we cannot determine the relationship between segments AB and CD based on the given information.
Step-by-step explanation: