Answer:the equation would be
8.4x=23.94
Step-by-step explanation: I know my math :)
Which two options describe the standard deviation?
The variance square
The extreme distance from the mean expected from the data points
The square root of the variance.
The average distance from the mean expected of the data.
Answer:
The square root of the variance.
The average distance from the mean expected of the data.
Step-by-step explanation:
Standard deviation is a measure of dispersal. It determines the average distance from the mean expected of the data.
Variance is also related to the standard deviationIt is the square root of the variance. The dispersion or variation of a set of values away from the mean is the standard deviation.
Standard deviation = [tex]\sqrt{variance}[/tex]
C: Determine the measure of the obtuse angle formed at the intersection of AV and HI
Answer:
146°70°104°Step-by-step explanation:
GivenCS║BMTo findA. m∠MIHB. m∠AVMC. Obtuse angle at the intersection of AV and HISolutionA...................................
∠MIH and ∠IHS are same side interior angles and sum up to 180° as per property, therefore
m∠MIH = 180° - 34° = 146°B...................................
∠AVM and ∠VAS are same side interior angles
and ∠VAS and ∠LAH are vertical angles, which are equal as per property of vertical angles, so:
m∠AVM = 180° - m∠VAS = 180° - 110° = 70°C...................................
Obtuse angle at the intersection of AV and HI, if name the intersection point O:
∠AOI = ∠HOV∠AOI = 180° - ∠AOH = 180° - (180° - 34° - 70°) = 104°Can someone help me plz
Answer:
1. Vertex-M sides- LM MN
2. Vertex-D sides- ED CD
3. Vertex-R sides- SR RQ
4. Vertex-T sides- ST TU
5. angle 3 angle D angle CDE
6. angle 4 angle F angle GFE
7. angle 1 angle F angle GFE
8. angle 3 angle I angle HIJ
A coin is tossed and -sided die numbered 1 through is rolled. Find the probability of tossing a and then rolling a number greater than .
Complete question :
A coin is tossed and a die is rolled. Find the probability of tossing a tail and then rolling a number greater than 2.
Answer : 1/3
Step-by-step explanation:
For a coin :
Sample space = (T, H)
Probability = required outcome / Total possible outcomes
Probability of tail, p(T) = 1 / 2 = 0.5
For a fair die:
Sample space = (1, 2, 3, 4, 5, 6)
Required outcome = number greater than 2 = (3, 4, 5, 6) = 4
P(number greater than 2) = 4/6 = 2/ 3
Hence, probability of a tail, then a number greater than 2 :
(1/2 * 2/3) = 2 /6 = 1/3
Consider the function below. Find f(x) = 7
f(x) = 4x - 9
Answer:
x=4
Step-by-step explanation:
it tel you that f(x) = 7 so replace "f(x)" for 7 in the equation. You then get 7 = 4x - 9 so now you solve for x. You have to isolate x so you add 9 to the other side since you do the opposite of -9. Once you add 9 and 7, then divide the answer by 4. You should get 4 = x.
Work:
f(x) = 4x - 9
7 = 4x - 9
7 + 9 = 4x
16 = 4x
16 ÷ 4 = x
4 = x
If the growth rate is 75%, which of the
following is the correct growth factor
a. 1.75
b. 75
C. 1.075
d. 1.0075
Answer:
A) 1.75
Step-by-step explanation:
75% = .75
Growth Factor = 1 + Growth Rate (decimal)
Growth Factor = 1 + .75
Growth Factor = 1.75
I hope this helps!
-TheBusinessMan
Jason delivers newspapers on Saturdays and Sundays only. Each newspaper weighs about 1 pound 5 ounces. If he delivers 15 newspapers each day, how much do the two days' worth of newspapers weigh in pounds and ounces?
Answer:
39pounds 6oz
Step-by-step explanation:
15x2=30
1x30=30pounds
5x30=150oz
30p+150oz=39.37500
37500p=6oz
39pounds and 6 oz
6. Leo walks his dog
7
8
mile. He walks his dog 3 times a day. Which of the following shows how repeated addition can be used to find how far Leo walks his dog every day?
Answer:
I haven't seen this question before, but the correct way to write it is 78+78+78=234
A particular fruit's weights are normally distributed, with a mean of 720 grams and a standard deviation of 38 grams. The heaviest 19% of fruits weigh more than how many grams? Give your answer to the nearest gram.
Answer: The heaviest 19% of fruits weigh more than 753grams.
Step-by-step explanation:
Let X = fruit's weights that are normally distributed.
Given: [tex]\mu=720,\ \ \ \sigma=38[/tex]
To find : x such that P(X>x)=19%
i.e. P(X<x) = 81% [100%-19%=81%]
i.e. P(X<x) = 0.81
[tex]P(\dfrac{X-\mu}{\sigma}<\dfrac{x-720}{38})=0.81[/tex]
Since, [tex]Z=\dfrac{X-\mu}{\sigma}[/tex] and from z-table the z value for p-value of 0.81 (one -tailed) = 0.8779
[tex]\dfrac{x-720}{38}=0.8779\\\\\Rightarrow\ x-720 =38\times0.8779\\\\\Rightarrow\ x-720 =33.36\\\\\Rightarrow\ x = 33.36+720=753.36\approx753[/tex]
Hence, the heaviest 19% of fruits weigh more than 753grams.
Archaeologists used pieces of burned wood, or charcoal, found at the site to date prehistoric paintings and drawings on walls and ceilings of a cave in Lascaux, France. Use the information in Example 3 of Section 3.1 to determine the appropriate age of a piece of burned wood, if it was found that 88% of the C-14 found in living trees of the same type had decayed. (Round your answer to the nearest hundred years.) years
Answer:
The age of the wood is [tex] t = 17527.5 \ years [/tex]
Step-by-step explanation:
From the question we are told that 88% of of the C-14 found in living trees of the same type had decayed , this means that the proportion of C-14 that is remaining is mathematically evaluated as
[tex] 1 - 0.88 = 0.12[/tex]
Hence
[tex] N = 0.12N_o[/tex]
Here N represents the remaining C-14 while [tex]N_o[/tex] is the original amount of C-14
Generally the half life of C-14 is [tex]h = 5730 \ years[/tex]
Generally from the formula of radioactive decay
[tex]N = N_o * 2^{-\frac{t}{h} }[/tex]
=> [tex]0.12N_o = N_o * 2^{-\frac{t}{5730} }[/tex]
=> [tex]0.12 = 2^{-\frac{t}{5730} }[/tex]
taking the natural log of both sides
=> [tex] ln [0.12] = ln[ 2^{-\frac{t}{5730} }][/tex]
=> [tex] ln [0.12] = -\frac{t}{5730}ln(2) [/tex]
=> [tex] t = 17527.5 \ years [/tex]
The appropriate age of burned wood will be "17527.5 years".
Radioactive decayAccording to the question,
The proportion of C-14 = 1 - 0.88
= 0.12
then,
N = 0.12 N₀
Now,
The half-life of C-14 will be:
h = 5730 years
By using Radioactive decay formula, we get
→ N = N₀ × [tex](2)^{-\frac{t}{h} }[/tex]
By substituting the values,
0.12N₀ = N₀ × [tex](2)^{-\frac{t}{5730} }[/tex]
0.12 = [tex]2^{-\frac{t}{5730} }[/tex]
By taking "log" both sides,
ln[0.12] = ln[[tex]2^{-\frac{t}{5730} }[/tex]]
ln[0.12] = -[tex]\frac{t}{5730 \ ln(2)}[/tex]
hence,
The age will be:
t = 17527.5 years
Thus the above response is correct.
Find out more information about radioactive decay here:
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Rectangles P, Q, R, and S are scaled copies of one another. For each pair, decide if the scale factor from one to the other is greater than 1, equal to 1, or less than 1.
The image showing the complete question is attached.
Answer:
1) Scale factor = 2
2) Scale factor = 4
3) Scale factor = ½
4) Scale factor = 2
5) Scale factor = 1
6) Scale factor = ¼
7) Scale factor = 1
Step-by-step explanation:
Scale factor is a number by which the dimensions of an object are multiplied in order to create an enlarged or reduced object.
Now, from the image attached;
1) From P to Q, we see that the length of Q seems to be double that of P. Similarly, the width of Q seems to be double that of P. Thus, each dimension of P is said to be multiplied by 2 to achieve the enlarged dimensions of Q.
Thus, scale factor = 2
2) From P to R, we see that the length of R seems to be 4 times that of P. Similarly, the width of R seems to be 4 times that of P. Thus, each dimension of P is said to be multiplied by 4 to achieve the enlarged dimensions of R.
Thus, scale factor = 4
3) From Q to S, we see that the length of S seems to be half of that of Q. Similarly, the width of S seems to be half of Q. Thus, each dimension of Q is said to be multiplied by ½ to achieve the reduced dimensions of S.
Thus, scale factor = ½
4) From Q to R, we see that the length of R seems to be double that of Q. Similarly, the width of R seems to be double that of Q. Thus, each dimension of Q is said to be multiplied by 2 to achieve the enlarged dimensions of R.
Thus, scale factor = 2
5) From S to P, we can see that the dimensions of both rectangles remain the same. Thus, S was multiplied by a factor of 1 to get P. Scale factor = 1
6) From R to P, we see that the length of P seems to be a quarter that of R. Similarly, the width of P seems to be quarter of R. Thus, each dimension of R is said to be multiplied by ¼ to achieve the reduced dimensions of P.
Thus, scale factor = ¼
7) From P to S, we can see that the dimensions of both rectangles remain the same. Thus, P was multiplied by a factor of 1 to get S. Scale factor = 1
Which of these expressions is the simplified form of the expression (StartFraction sine (x) Over 1 minus cosine squared (x) EndFraction) tangent (StartFraction x Over 2 EndFraction) ?
Answer:
[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2}) = \frac{1}{1+cosx}[/tex]
Step-by-step explanation:
Given
[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex]
Required
Simplify
[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex]
---------------------------------------------------------------------------------------------------
Considering the denominator of the first bracket
[tex]1 - cos^2x[/tex]
This can be rewritten using different of two squares as follows:
[tex](1 - cosx)(1 + cosx)[/tex]
So, [tex]1 - cos^2x[/tex] can be replaced with [tex](1 - cosx)(1 + cosx)[/tex] in the given expression.
Also, from trigonometry identity
[tex]tan\frac{x}{2} = \frac{1 - cos x}{sin x}[/tex]
So, [tex]tan\frac{x}{2}[/tex] can be replaced with [tex]\frac{1 - cos x}{sin x}[/tex] in the given expression
---------------------------------------------------------------------------------------------------
[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2})[/tex] becomes
[tex](\frac{sinx}{(1-cosx)(1+cosx)}) * \frac{1 - cos x}{sin x}[/tex]
[tex](\frac{sinx * (1 - cos x)}{(1-cosx)(1+cosx) * sin x})[/tex]
Cancel out similar expressions
[tex]\frac{1}{1+cosx}[/tex]
The expression cannot be further simplified.
Hence:
[tex](\frac{sin\ x}{1 - cos^2x})(tan\frac{x}{2}) = \frac{1}{1+cosx}[/tex]
The simplified form of the expression :
[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} =\frac{1}{1+cosx}[/tex]
We have some trigonometric formula as:
[tex]sin2x=2sinx= cosx\\2cos^{2} x=1+cos2x[/tex]
We have the expression
[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} \\=\frac{sinx}{sin^{2} x} .tan\frac{x}{2} \\=\frac{1}{sin x} .tan\frac{x}{2}\\=\frac{1}{2sin \frac{x}{2} cos\frac{x}{2}} .tan\frac{x}{2}\\=\frac{1}{2sin \frac{x}{2} cos\frac{x}{2}} .\frac{sin\frac{x}{2}}{cos\frac{x}{2}} \\=\frac{1}{2cos^{2} \frac{x}{2}}\\=\frac{1}{1+cos{x} }[/tex]
Therefore, the simplified form of the expression is:
[tex]\frac{sinx}{1-cos^{2} x} .tan\frac{x}{2} =\frac{1}{1+cosx}[/tex]
Learn more:https://brainly.com/question/13126358
please help me fill in da blanks to
answer dis annoyin question
Answer:
Step-by-step explanation:
b . v vvhc . fhd
Determine the quotient of 2 over 5 divided by 3 over 4
Answer:
8/15
Step-by-step explanation:
Can any one help me?
How many pounds are in 80 kilograms?
Answer:
176.37 pounds are in 80 kilograms
Step-by-step explanation:
The kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side.
A pound is a unit of weight commonly used in the United States and the British commonwealths. A pound is defined as exactly 0.45359237 kilograms.
HELPPPP PLS ASAPPPPP EASY
Answer:
on what
Step-by-step explanation:
??????
Answer:
What do you need help with?
Step-by-step explanation:
Upload a picture
Katie ran 4 miles. She ran at a rate that was 1.1 minutes per mile slower than Jasmine. For how many minutes did Katie run? Explain how you determined your answer.
Answer:
it is 7.1
Step-by-step explanation:
how i got my answer is because jasmine ran 8.2 minute per mile
and Katie was 1.1 slower than jasmine so we will have to subtract like this
8.2
- 1.1
7.1 so katie ran 7.1 minutes per mile
If Katie ran at a rate that was 1.1 minutes per mile slower than Jasmine's.She takes 29.2 minutes to run.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables. the rate of change of distance with respect to time denotes the speed i.e. m/sec.
It is given that, Katie ran 4 miles. She ran at a rate that was 1.1 minutes per mile slower than Jasmine.
Time is taken by Katie for the given rate,
T = 5 miles × 8.4 mins / mile
T = 42 minute
The rate for Jasmine,
r = 8.4 - 1.1
r=7.3
The time for which Katie run,
t = 4 × 7.3
t = 29.2 minute
Thus, if Katie ran at a rate that was 1.1 minutes per mile slower than Jasmine's. She takes 29.2 minutes to run.
The question is incomplete.
The complete question is"Katie ran 4 miles at a rate of 1.1 miles slower than jasmine how many minutes did Katie run if jasmine ran 5 miles at 8.4 minutes per mile"
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Given g(x) = -3x + 1, find g(2).
Answer:
- 5
Step-by-step explanation:
Step 1:
g ( x ) = - 3x + 1 Function
Step 2:
g ( x ) = - 3 ( 2 ) + 1 Input x
Step 3:
g ( x ) = - 6 + 1 Multiply
Answer:
g ( x ) = - 5 Add
Hope This Helps :)
Use integers to represent the values in the statement. The highest elevation in a country is Mt. Snowy with an altitude of 17,311 feet. The lowest elevation in the country is Green Valley with an altitude of 237 feet below sea level.
Answer:
A)+17311 represent the value in the statement.
B)-237 represent the value in the statement.
Step-by-step explanation:
A) The highest elevation in a country is Mt. Snowy with an altitude of 17,311 feet.
Elevation is in the positive direction
So, the positive integer will represent the given situation
So, The highest elevation in a country is Mt. Snowy with an altitude of +17311
Thus +17311 represent the value in the statement.
B)The lowest elevation in the country is Green Valley with an altitude of 237 feet below sea level.
Below the sea level means negative direction
So, the negative integer will represent the given situation
So, The lowest elevation in the country is Green Valley with an altitude of - 237 feet below sea level.
Thus -237 represent the value in the statement.
dhjsksnebrnxndksksnsns
Answer:
yeah fr
Step-by-step explanation:
Geometric Sequence♡
5, -2, 4/5
the common ratio was 2/5
find the 10th term
Equivalent Expressions
Warm-Up
Active
Evaluating an Expression
Complete the statements.
Evaluate (15 - 4x) + 5 when x = 3.
Substitute the given value for the
Evaluate within
parentheses.
to simplify.
Use the
inside the
Evaluate exponents.
First, complete the
parentheses.
Next, complete the
parentheses.
Last, complete the addition.
inside the
Multiply and divide
from left to right.
The value is
Add and subtract
from left to right.
Answer:
Complete the statements.
Substitute the given value for the
✔ variable
.
Use the
✔ order of operations
to simplify.
First, complete the
✔ multiplication
inside the parentheses.
Next, complete the
✔ subtraction
inside the parentheses.
Last, complete the addition.
The value is
✔ 8
.
Step-by-step explanation:
Plz give me brainlest
Answer:
Variable, order of operations, multiplication, subtraction, 8.
Step-by-step explanation:
Got it right Edge2021
2.) Determine the number of items Saydee produces
per hour, if she works 40 hours a week and produces
5,237 items.
2.) You need a carpet installed in your living room. You reach out to 2 different companies
for installation pricing. Lowes charges $ 2 a square foot and $60 to bring the
materials. Home Depot Charges $1.50 a square foot and $ 80 to bring the materials.
If your living room is 100 square feet, which company would you use?
Answer:
Home Depot
Step-by-step explanation:
Home Depot Has better charges because you have to multiply the question to see which one is lower.
Scientists want to estimate the mean weight of mice after they have been fed a
special diet. From previous studies, it is known that the weight is normally
distributed with standard deviation 4 grams. How many mice must be weighed so
that a 95% confidence interval will have margin of error of 0.4 grams?
Write only an integer as your answer.
Answer:
n = 484
Step-by-step explanation:
If Confidence Interval CI = 95 % then α = 5% and α/2 = 2,5 %
α/2 = 0,0125
MOE for normal distribution is:
MOE = z * σ/√n
For α/2 = 0,0125 ⇒ z(score) = -2,2
MOE = |-2,2| * 4/√n
0,4*√n = 8,8
√n = 8,8 / 0,4
√n = 22
n = 484
find two numbers that equal 11,000 when added together, but also equal 3,000 when subtracted from each other
Answer:
4000 and 7000
Step-by-step explanation:
1.5d + 9.25 = 4 + 2.25d
what is d?
.
Answer:
d = 7
Step-by-step explanation:
1.5d + 9.25 = 4 + 2.25d
Combine the constants and the variables.
5.25 = 0.75d
Divide.
d = 7
7th grade math help me plzzz
Answer:
-7 minus 9 = -16
-3-(-10) =7
8-12=-4
4-(-5)=9
Step-by-step explanation:
im in 7th grade on edginuity got it all right
what is 2x + 5x - 11 = -46
Answer: x= -5 hope this helps
Step-by-step explanation: