Answer:
23x-8
Step-by-step explanation:
8x + 15x = 23x
4 + (-12) = -8
Answer:
[tex] \boxed{23x \: – \: 8} [/tex]
Step-by-step explanation:
(8x + 4) added to (15x – 12) =
(8x + 4) + (15x – 12) =
[Group like terms]
(8x + 15x) + (4 – 12) =
[Simplify]
23x – 8
A net of a rectangular prism has 3 pairs of equal sides. The front face has an area of 30 feet squared.
Which statements about the area of the faces of the rectangular prism are true? Select all that apply.
Two of the faces have an area of 30 ft2.
There is only one face with an area of 48 ft2.
Two of the faces have an area of 40 ft2.
The front face has an area of 30 ft2.
The top face has an area of 40 ft2.
Answer:
A,C,D
Step-by-step explanation:
I took it on Edge
A theater has 36 seats in the first row, 39 seats in the second row, 42 seats in the third row, and so on. How many seats are in the 18th row?
There are
seats in row 18
Answer: you'll have 87 seats in the 18th row
Step-by-step explanation:
an = a1+(n-1)d
a18= 36+(18-1)3
a18= 36+51
a18= 87
The 18th row will have 87 seats.
What is arithmetic progression?
'An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.'
According to the given problem,
Number of seats in row 1 = 36
Number of seats in row 2 = 39
Number of seats in 3rd row = 42
Difference between the numbers ( d ) = 39 -36
= 3
We know, according to the formula of Arithmetic Progression,
[tex]a_{n} = a_{1} + (n-1)d[/tex]
We need to find for the 18th row,
[tex]a_{1}[/tex] = 36
d = 3
n = 18
⇒ [tex]a_{18}[/tex] = 36 + ( 18 - 1 )×3
⇒ [tex]a_{18}[/tex] = 36 + 51
⇒ [tex]a_{18}[/tex] = 87
Hence, we can conclude, there will be 87 seats in the 18th row.
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A card is randomly selected from a deck of playing cards. Find the probability that it is a face card, given that a black card is drawn.
A. 3/13
B. 6/26
C. 26/52
D. 1/2
Answer 3/13
Step-by-step explanation:
There are 12 face cards, and 6 are black. Thus, the probability of choosing one would be 6/26, or 3/13
Can someone please help me with this
Answer:ok
Step-by-step explanation:
4. Find the value of x.
Can you pls show work thank you for your time
Answer:
x= 12
Step-by-step explanation:
11x+2=134
-2 -2
_________
11x = 132
__ ___
11 11
x=12
If f( a)= a^2-2a+1 what is the value of f(-4)
Answer:
Step-by-step explanation:
For this you just plug in a = -4 into the function:
f(-4) = (-4)^2-2(-4)+1 = 25
25 should be the answer.
Answer:
25
Step-by-step explanation:
f(-4) = (-4)² - 2(-4) + 1
= 16 + 8 + 1
= 25
5.) Find the square root. *
25
49
Need help plz?
Answer:
5 and 7 because they are perfect squares
Answer:
Step-by-step explanation:
Take the square roots of the numerator and denominator separately.
The critic rating and audience score for 8 movies are shown in the table.
Critic Rating 72 80 65 23 28 60 41 35
Audience Score 64 92 90 48 55 70 44 80
An owner of a movie theater is investigating whether critic rating can be used to predict the mean audience score of movies. Assuming the conditions for inference have been met, which of the following inference procedures is the most appropriate to estimate the mean change in audience score for each 1 point increase in the critic rating?
A. A one-sample t-test for means
B. A linear regression t-interval for slope
C. A two-sample t-interval for a difference between means
D. A matched-pairs t-interval for a mean difference
E. A two-sample Z-interval for a difference between proportions
Answer:
B. A linear regression t-interval for slope
Step-by-step explanation:
Given the data for the critic rating and audience score, the relationship between this vmaues acb be modeled using regression, the slope value helps give the average change in the dependent variable (audience svi per unit change in the value of the independent variable (critic rating). The t distribution is employed due to the relatively small sample size which
does not form an approximately normal distribution according to the Central limit theorem.
Suppose one serving of vegetables is 3/4 cup. How many servings there in 3 1/2 cups?
Explain your reasoning
Answer:
14/3 or 4.6
Step-by-step explanation:
you would do 3.5 divided by .75 (=^w^=)
A computer technician notes that 40% of computers fail because of the hard drive. If he repairs many computers a day, what is the probability that the first computer that has failed due to the hard drive is his 4th computer of the day?
Answer:
(B) 0.0864
Step-by-step explanation:
Correct on Edge
01:16:12
What are the dimensions of the rectangle?
A rectangle has an area of 40 square units. The length
is 6 units greater than the width
O 8 by 5
10 by 4
11 by 9
13 by 7
Answer:
its b
Step-by-step explanation:
The requried dimensions of the rectangle are 10 by 4. Option B is correct.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
To solve the problem, we can use the formula for the area of a rectangle, which is:
area = length x width
We also know that the length is 6 units greater than the width, which we can express as:
length = width + 6
We can substitute this expression for length into the formula for area, giving us:
area = (width + 6) x width
area = width² + 6width
We are given that the area is 40 square units, so we can set up the equation:
40 = width² + 6width
We can rearrange this equation into the standard quadratic form:
width² + 6width - 40 = 0
We can then use the quadratic formula to solve for the width:
width = (-b ± √(b² - 4ac)) / 2a
Plugging in the values of a, b, and c from the quadratic equation above, we get:
width = (-6 ± √(6² - 4(1)(-40))) / 2(1)
width = (-6 ± √(196)) / 2
width = (-6 ± 14) / 2
So we have two possible values for the width:
width = (-6 + 14) / 2 = 4
or
width = (-6 - 14) / 2 = -10
Since the width cannot be negative, we can reject the second solution. Therefore, the width of the rectangle is 5 units.
We can use the expression for the length in terms of the width to find the length:
length = width + 6 = 4 + 6 = 10
Therefore, the dimensions of the rectangle are 10 by 4.
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The number of hours it takes to mow nine lawns is inversely proportional to the number of gardeners. It takes three gardeners four hours to mow nine lawns. How many hours would it take one gardener to mow the same nine lawns?
Please answer quickly!
Answer:
I believe it would take 12 hours
please help you'll get brainliest and points
Answer:
2's volume is 93 3/4 and 3's volume is 40
Step-by-step explanation:
Just use the formula to find volume, length x width x height. For 2, it would be 5x5x3 3/4 to give you a product of 93 3/4. For 3, it would be 3x2x6 2/3 which equals 40.
I hope this helps!
I have no idea how to draw these please help
9514 1404 393
Answer:
1, 2: draw x as the altitude of a right triangle
3: draw x as double the altitude of the right triangle
Step-by-step explanation:
Consider the right-triangle geometry in the attachment. All of the right triangles are similar, so the ratios of corresponding sides are equal.
short side / long side = x/r = s/x
You may notice this compares to the required relation in problem 1.
__
If you multiply this out, you get ...
x² = rs ⇒ x = √(rs)
This compares to the required relation in problem 2.
__
So, you append the two line segments to each other so they make segment AB, find their midpoint D (using a perpendicular bisector construction), then draw the (semi-)circle centered at that midpoint. The perpendicular at X will intersect the circle at C, a distance of x from the line rs. (A perpendicular to a line at a point construction is required to create XC.)
__
For problem 3, you simply need to double the length √(rs) that you found in the previous constructions. A simple way to do this is to draw a circle, not a semicircle. Then point C' on the lower half of the circle will be 2√(rs) from point C.
_____
In the attached, we have shown right triangle ABC for discussion purposes above. Segments AC and BC are not needed for your purpose.
Point of clarification: AX = r, BX = s, CX = x.
Which of the following sequences is an arithmetic sequence? Select all correct answers.
Select all that apply:
1,2,3,4,5,6,…
5,0,−5,−10,−5,0,…
−4,−6,−8,−10,−8,−6,…
3,0,−3,−6,−9,−12,…
6,5,4,3,2,1,…
Answer:
1st, 4th and 5th are in arithmetic sequence.
Answer:
a) 1,2,3,4,5,6............
d) 3,0, -3 ,-6,-9,-12.............
e) 6,5,4,3,2,1...........
are arithmetic sequence
Step-by-step explanation:
Arithmetic sequence is series of numbers that the difference of consecutive terms is constant
a) 1, 2 , 3 , 4 , 5 , 6...........
Common difference = 1
d) 3,0, -3 ,-6,-9,-12.............
Common difference = second term - first term
= 0 - 3 = -3
e) 6,5,4,3,2,1...........
Common difference = 5 - 6 = - 1
What is the volume of the solid generated when the region in the first quadrant bounded by the graph of y=x^3, the x-axis, and the vertical line x=2 is revolved about the x-axis?
Show work.
A
[tex]4[/tex]
B
[tex] \frac{128}{7} [/tex]
C
[tex]4\pi[/tex]
D
[tex] \frac{128\pi}{7} [/tex]
Answer:
The first thing we need to do is to find the area bounded by:
y = x^3
y = 0
between:
x = 0 and x = 2
This is the integral of the given function between x = 0 and x = 2, written as:
[tex]\int\limits^2_0 {x^3} \, dx = \frac{2^4}{4} - \frac{0^4}{4} = 2^2 = 4[/tex]
This means that the area of the bounded region is 4 square units.
Now, if we do a full rotation around the x-axis, the volume generated will be equal to the area that we obtained times 2*pi units.
The volume is:
V = (4 square units)*(2*pi units) = 8*pi cubic units.
(Notice that no option coincides with this, there may be a mistake in the options)
Plz help me well mark brainliest if you are correct!
In certain parts of the world tuberculosis (a very treatable and curable illness) is present in 25% of the people. If a simple chest X-ray can be used as a diagnostic tool with an accuracy of 99% detection of TB if it is present. Only in 0.5% of the cases, normal people get a positive diagnosis. 2 If a person is selected at random and the diagnosis is positive, what is the probability that the person is actually infected.
Answer:
0.9851 = 98.51% probability that the person is actually infected.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive test
Event B: Infected
Probability of a positive test:
99% of 25%(People have the disease).
0.5% of 100 - 25 = 75%(People do not have the disease). So
[tex]P(A) = 0.99*0.25 + 0.005*0.75 = 0.25125[/tex]
Probability of a positive test and being infected:
99% of 25%, so:
[tex]P(A \cap B) = 0.99*0.25 = 0.2475[/tex]
What is the probability that the person is actually infected?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2475}{0.25125} = 0.9851[/tex]
0.9851 = 98.51% probability that the person is actually infected.
please help me out I'll give you a virtual high five
Answer:
[tex] \red{ \bold{\frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]
Step-by-step explanation:
[tex] \frac{2x}{4 {x}^{2} - 9 } + \frac{3}{2 {x}^{2} + x - 3} \\ \\ = \frac{2x}{(2 {x})^{2} - {(3)}^{2} } + \frac{3}{2 {x}^{2} - 2x + 3x - 3} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{2 {x}(x - 1) + 3(x - 1)} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{(x - 1) (2x + 3)} \\ \\ = \frac{2x(x - 1)}{(2x + 3)(2x - 3)(x - 1)} + \frac{3(2x - 3)}{(x - 1) (2x + 3)(2x - 3)} \\ \\ \purple{ \bold{ = \frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]
An example of an ordered pair is (1, 5). True or False
Answer:
yes
Step-by-step explanation:
Points scored in a basketball game vary directly with shots taken. If a player scores 50 points and takes 40
shots, how many would she have scored if she takes 60 shots? (Round your answer down to the nearest point
scored)
Add Media
Signature
Answer:
She would have scored 75 points.
Step-by-step explanation:
Points scored in a basketball game vary directly with shots taken.
This means that this question can be solved by proportions, using a rule of three.
How many would she have scored if she takes 60 shots?
Using a rule of three:
50 points - 40 shots
x points - 60 shots
Applying cross multiplication:
[tex]40x = 50*60[/tex]
Dividing both sides by 40
[tex]x = 50*1.5 = 75[/tex]
She would have scored 75 points.
A sample of 1300 computer chips revealed that 50% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 47% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Make the decision to reject or fail to reject the null hypothesis at the 0.01 level.
Answer:
The pvalue of the test is 0.03 > 0.01, which means that we fail to reject the null hypothesis at the 0.01 level.
Step-by-step explanation:
The company's promotional literature states that 47% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage.
This means that at the null hypothesis we test that the proportion is 47% = 0.47, that is:
[tex]H_0: p = 0.47[/tex]
And at the alternate hypothesis, we test that the proportion is different from 47%, that is:
[tex]H_a: p \neq 0.47[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
47% is tested at the null hypothesis:
This means that [tex]\mu = 0.47, \sigma = \sqrt{0.47*0.53}[/tex]
A sample of 1300 computer chips revealed that 50% of the chips do not fail in the first 1000 hours of their use.
This means that [tex]n = 1300, X = 0.5[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5 - 0.47}{\frac{\sqrt{0.47*0.53}}{\sqrt{1300}}}[/tex]
[tex]z = 2.17[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability that the proportion differs from 0.47 by at least 0.5 - 0.47 = 0.03, which is P(|Z| > 2.17), which is 2 multiplied by the pvalue of Z = -2.17
Z = -2.17 has a pvalue of 0.015
2*0.015 = 0.03
The pvalue of the test is 0.03 > 0.01, which means that we fail to reject the null hypothesis at the 0.01 level.
two friends bought a strip of tickets for the school carnival. Arlo used 5/6 of his tickets. jayson used 6/6 of his tickets.
::::::::::::::::::::
Answer:
total number of tickets bought: 12
total number of tickets used: 11
Jayson used 1 more ticket than Arlo
Step-by-step explanation:
Erm, I don't know what you want answered, but here's some basics:
So to find how many total tickets were bought, we just have to add both of the strips together:
6 + 6 = 12
So the total number of tickets bought was 12.
To find the amount of ticket used, you have to add the top numbers together:
5 + 6 = 11
So the total number of tickets used is 11.
If you wanted to find how many more tickets Jayson used than Arlo, you'd have to subtract Arlo's tickets from Jayson's:
6 - 5 = 1
So Jayson used 1 more ticket than Arlo.
Sorry I couldn't have been more of a help:/
so if I didn’t pay for class dues my freshman year does that mean im not graduating?
Answer:
Can it be waived? If tuition is not paid by the due date, classes will be dropped or if you are a financial aid recipient and your tuition has not been paid in full by the due date, your account will be placed on hold. There is no late fee however; in certain instances a collections fee may be assessed.
if you're talking about college then no you will not graduate , your classes will be dropped which would mean you cannot go to class.
The two cones below are similar. What is the height of the larger cone?
A.
28
—
5
В.
35
—
4
C.
20
—
7
D.
5
Answer:
b
Step-by-step explanation:
i dont know
its a guess
The height of the larger cone is 35/4.
What are Similar Figures?Similar figures are those figures which are having the same shape, but the sizes are different.
The dimensions of the similar figures will be proportional.
So the heights and the radius of the smaller and the larger cone are proportional.
Using the concept,
x / 5 = 7 / 4
Cross multiplying,
4x = 35
x = 35/4
Hence the height of the larger cone is 35/4.
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Which of the following graphs is the graph of a linear function?
Answer:
C
Step-by-step explanation:
A and B are not straight lines, so they are not linear functions.
C and D are straight lines, so they are linear. However, D fails the vertical line test, so it is not a function.
C and D are straight lines, they are linear. Then the linear graphs are represented by options C and D.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
A and B are not straight lines, they are not linear functions. Therefore,
C and D are straight lines, they are linear. Then the linear graphs are represented by options C and D.
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..................................... help pls
Answer:
A
Step-by-step explanation:
A is the height since it shows the dotted line from top to bottom and B and C are slanted.
Answer:
Option AIs correspond line
Look at this triangle.
B
8 cm
A А
22 cm
С
Work out length AB.
Answer:
AB=23.40cm
Step-by-step explanation:
(AB)²=(AB)²+(BC)²
(AB)²=22×22+8×8
=484+64
(AB)²=548
AB=23.40 cm
hope it helps...
have a great day!!
im stuck on this question
Answer:
y-intercept = ( 0,0.4)
x-intercept = ( 0.3,0)
Step-by-step explanation:
By inspection from the given graph
Answer:
y-int = (0,.4)
x-int = (.3,0)
pleaseeeeee help me out quickkk solve for x
Answer:
x = 27.2
Step-by-step explanation:
Apply trigonometric function to solve for x.
Reference angle = 54°
Side length opposite to reference angle = 22
Hypotenuse = x
We would apply SOH:
Sin 54 = Opp/Hyp
Sin 54 = 22/x
x*sin 54 = 22
x = 22/sin 54
x = 27.1934955 ≈ 27.2 (nearest tenth)