Answer:
Percentage error of your estimate = 13%
Step-by-step explanation:
Given
Approximate value = 85
Exact value = 75
To determine
Percentage error can be determined using the formula
Percentage Error = |Approximate Value − Exact Value| / |Exact Value| × 100%
= |85 − 75| / |75| × 100%
= 10 / 75 × 100%
= 0.1333 × 100%
= 13%
Therefore, percentage error of your estimate = 13%
Answer:
i got Observed Value as 10 and True Value as 11. someone tell me if i was wrong
) The National Assessment of Educational Progress (NAEP) gave a test of basic arithmetic and the ability to apply it in everyday life to a sample of 840 men 21 to 25 years of age. Scores range from 0 to 500; for example, someone with a score of 325 can determine the price of a meal from a menu. The mean score for these 840 young men was x⎯⎯⎯ = 272. We want to estimate the mean score μ in the population of all young men. Consider the NAEP sample as an SRS from a Normal population with standard deviation σ = 60. (a) If we take many samples, the sample mean x⎯⎯⎯ varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score μ in the population. What is the standard deviation of this sampling distribution? (b) According to the 95 part of the 68-95-99.7 rule, 95% of all values of x⎯⎯⎯ fall within _______ on either side of the unknown mean μ. What is the missing number? (c) What is the 95% confidence interval for the population mean score μ based on this one sample? Note: Use the 68-95-99.7 rule to find the interval.
Answer:
a) The standard deviation of this sampling distribution is 2.07.
b) The missing number is 4.14.
c) The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.
Step-by-step explanation:
To solve this question, we need to understand the Empirical Rule and the Central Limit Theorem.
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Central Limit Theorem:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
[tex]\mu = 272, n = 840, \sigma = 60[/tex]
(a) If we take many samples, the sample mean x⎯⎯⎯ varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score μ in the population. What is the standard deviation of this sampling distribution?
Using the Central Limit Theorem:
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{60}{\sqrt{840}} = 2.07[/tex]
The standard deviation of this sampling distribution is 2.07.
(b) According to the 95 part of the 68-95-99.7 rule, 95% of all values of x⎯⎯⎯ fall within _______ on either side of the unknown mean μ. What is the missing number?
Within 2 standard deviations of the mean.
So, 2*2.07 = 4.14
The missing number is 4.14.
(c) What is the 95% confidence interval for the population mean score μ based on this one sample?
Within 4.14 of the mean
272 - 4.14 = 267.86
272 + 4.14 = 276.14
The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.
Heather knit a scarf for each of her 4 friends. Altogether, the scarves had a
total length of 27.6 ft. If each scarf was the same length, how long was each
scarf? Correct
Answer:
6.9 feet
Step-by-step explanation:
You can get this by dividing 27.6 by 4
then can check your answer by multiplying 4 by 6.9
Travelling with a current, a boat covers a distance 1.5times greater than travelling against the current in the same amount of time. What is the speed of the boat in still water if the speed of the current is 1.5 mph
If Alan read 204 pages in6 hours, how many pages would you expect him
to read in 11 hours?
Answer:
374 Pages
Step-by-step explanation:
First find the unit rate. 204/6=34 pages per hour.
34*11=374
*Please mark the brainliest*
43=0.34x+19.5
What is x
Step-by-step explanation:
43=0.34x+19.5
=> 0.34x+19.5 = 43
=> 0.34x = 43 - 19.5
= 23.5
[tex] = > x = \frac{23.5}{0.34} [/tex]
=> x = 69.117 (Ans)
You hike 165 meters up a hill that has a 17 degree angle of elevation as shown in the diagram.
Give each side and angle measure rounded to the nearest whole number.
a=
b=
m∠B=
Answer:
a.) 48m
b.) 158m
m<B.) 73 degrees
Step-by-step explanation:
I WILL GIVE BRAINLIST IF SOMEONE ANSWAR CORRECTLY WITH EXPLINATION
Answer:
x=0,5
Step-by-step explanation:
x = 3/2 , -1
y= 4/3 , -1/3
*) How is the sign of 18(–24)(-5)(-101)(-7) determined?
Complete the statement.
?
because there is an
number of
v
) The product is ?
negative factors.
Answer:
The first ? is positive, second ? is even.
Step-by-step explanation:
There is 4 negative factors. 4 is an even number. When there is an even amount of negative factors, the anwser is always even.
The complete statement is;
The product is Positive because there is an even number of negative factors.
Here;
The mathematical expression is,
18 (–24) (- 5) (-101) (- 7)
We have to complete the statement.
What is Product of number with negative sign?
If the number of negative factor is odd then sign of product is negative and if the number of negative factor is even then sign of product is positive.
Now,
The mathematical expression is,
18 (–24) (- 5) (-101) (- 7)
Value of 18 (–24) (- 5) (-101) (- 7) = 1,527,120
Hence, The product is Positive because there is an even number of negative factors.
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3) -2x – 3y = -7
-4x + y = 21
A) (-8, 4)
C) (2, 4)
B) (-4,5)
D) No solution
Answer: B) (-4,5)
Step-by-step explanation:
Begin the problem by solving for y with the second equation. Add -4x to both sides of the equation so it reads y=4x+21. Then, substitute y into the first equation and solve. -2x-3(4x+21)=-7 turns into -14x-63=-7, which becomes -14x=56. Divide 56/-14 to get -4 for x. Since only one answer has -4 as an option for x, that's the correct answer.
what is 9+2 I WILL MARK BRAINIEST
Answer:
11 ! have a great dayy:) !
h(t)=(49+4.9t)(10-t) solve for t
Answer:
t = ±10
Step-by-step explanation:
after using the FOIL method you have the following:
490 + 49t - 49t - 4.9t²
middle two terms zero out
h(t)= -4.9t² + 490
if you multiply by -10 you can get perfect squares
h(t) = 49t² - 4900 which has two factors: (7t + 70)(7t - 70)
now set each factor equal to zero and solve:
7t + 70 = 0
7t = -70
t = -10
7t - 70 = 0
7t = 70
t = 10
5 cooks, 13 waiters and 4 other staff work at a restaurant. What is the ratio of cooks to waiters to other staff?
Answer:
1:4:1.5
Step-by-step explanation:
PLEASE HELP
Betty has a piece of ribbon that is 33 feet. How can she cut it into pieces without
wasting any? Select all that apply.
A. She can cut 4 pieces that are 8.25 feet each.
LA
B. She can cut 5 pieces that are 6.6 feet each.
ock
C. She can cut 4 pieces that are 8 feet each.
4
-
D. She can cut 5 pieces that are 6.75 feet each.
Answer:
Step-by-step explanation:
A. She can cut 4 pieces that are 8.25 feet each. This uses all 33 feet of ribbon with no waste.
B. She can cut 5 pieces that are 6.6 feet each. This uses all 33 feet of ribbon with no waste.
C. She can cut 4 pieces that are 8 feet each. This adds up to 32 feet, and so 1 ft is wasted
D. She can cut 5 pieces that are 6.75 feet each. Not possible, as this adds up to 33.75 ft, which is more ribbon than Betty has.
Wilbert needs a student loan to finish school. He needs $4200 and has two options.
Option A: 4 years at 4.5% interest with monthly payments of $95.77
Option B: 3 years at 4.7% interest with monthly payments of $125.31
Which loan should Wilbert choose and how much will Wilbert save with that loan?
First, calculate the total payback on each loan.
Answer:
A) 4596.96
B) 4511.16
Step-by-step explanation:
Wilbert should choose option B. The savings will be $85.8 for the loan.
What is the loan amount?The sum you borrow to purchase the home is known as the amount borrowed. Because most lenders don't always offer 100% financing, it usually differs from the purchase price.
It's also crucial to take the loan-to-value ratio into account. Lenders frequently discuss this value, which compared the loan amount with the purchase price.
Checking for 4 years at 4.5% interest with monthly payments of $95.77
4596.96-4200=396.96
Checking for 3 years at 4.7% interest with monthly payments of $125.31
396.96-311.16=85.8
Therefore, Wilbert should choose option B. The savings will be $85.8 for the loan.
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You roll a 6-sided die.
What is P(even)?
Write your answer as a percentage.
Can someone HELP ME please!!?
20 points for this question
Answer:
Step-by-step explanation:jk
Answer:
10
Step-by-step explanation:
A chef is making chicken noodle soup. The recipe calls for 1/4 cup of celery for each bowl of soup. If the chef has 9 1/2 cups of celery, how many bowls of soup can be made?
Answer:
Step-by-step explanation:9 1/2 cups / (1/4 cups/bowl) = 19/2 cups x 4 bowls/cup = 76/2 bowls = 38 bowls. QED.
what is 2m + 2 =8? i have been wondering about this question alot
Answer:
Her u are asked to find the value of 'm'
We can do it by transposing values from LHS to RHS
Thus it will go like this
2m=8-2
2m=6
m=6/2
m=3
Answer:
2m=8-2
2m=6
m=6/2
m=3
Mark buys 3 2/5 pounds of apples. He uses 2/3 of the apples in a recipe. Which of the following expressions can be used to find the number of pounds of apples that Mark uses? A: 2/3 + 2/3 + 2/3 + 2/5 B: 2/3 x 17 3 x 5 C: 2/3 x 6/5 D: 2/3 x 3 + 2/3 x 2/5
Answer:
b
Step-by-step explanation:
jayfeather friend me
X+7y=0
X+4y=8
Solve the equation
Answer:
1.x=-7y
2.x=8-4y
Step-by-step explanation:
Answer:
Step-by-step explanation:
A professor of cognitive psychology is interested in the percent accuracy on this memory encoding task among college students. She measures the percent accuracy for 64 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average percent accuracy on this memory encoding task among college students is 0.794 percent correct with a standard deviation of 0.1110 percent correct.
The expected value of the mean of the 64 randomly selected students, M, is ______ mean and/or standard deviation just given to calculate the expected value of M.) . (Hint: Use the population
The standard error of M is_______ (Hint: Use the population mean and/or standard deviation just given to calculate the standard error.)
Answer:
Mean of M = 0.794
Standard Error = 0.013875
Step-by-step explanation:
Given that :
Sample size, n = 64
Mean percentage accuracy, μ = 0.794
Standard deviation, σ = 0.1110
Since the distribution of scores is normal ;
Sample mean, m ~ μ
Hence, m ~ 0.794
The sample sta dard deviation of standard error ~ σ/sqrt(n)
Standard Error = 0.1110 / sqrt(64)
Standard Error = 0.1110 / 8
Standard Error = 0.013875
A publisher reports that 40% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 200 found that 31% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer:
[tex]p-value = 0.9953[/tex]
Step-by-step explanation:
Given
[tex]P = 40\%[/tex] --- proportion of population
[tex]n = 200[/tex] -- samples
[tex]p = 31\%[/tex] -- proportion of samples
Required
Determine the p value
First, calculate the standard deviation ([tex]\sigma[/tex])
[tex]\sigma = \sqrt{\frac{P*(1 - P)}{n}}[/tex]
[tex]\sigma = \sqrt{\frac{40\%*(1 - 40\%)}{200}}[/tex]
[tex]\sigma = \sqrt{\frac{0.40*(1 - 0.40)}{200}}[/tex]
[tex]\sigma = \sqrt{\frac{0.40*0.60}{200}}[/tex]
[tex]\sigma = \sqrt{\frac{0.24}{200}}[/tex]
[tex]\sigma = \sqrt{0.0012}[/tex]
[tex]\sigma = 0.0346[/tex]
Next, we calculate the z score
[tex]z = \frac{p - P}{\sigma}[/tex]
[tex]z = \frac{40\% - 31\%}{0.0346}[/tex]
[tex]z = \frac{9\%}{0.0346}[/tex]
[tex]z = \frac{0.09}{0.0346}[/tex]
[tex]z = 2.6012[/tex]
[tex]z \approx 2.60[/tex]
From the z table, the p value of [tex]z = 2.60[/tex] is: 0.9953
Hence:
[tex]p-value = 0.9953[/tex]
x = 6y – 14
-X + 9y = 17
after substitution :
-6y + 14+ 9y = 17
= 14 + 3y = 17
by subtracting 14 :
3y = 3
by dividing over 3 :
y = 1
after substitution:
x = 6 * 1 - 14 = 6 - 14 = -8
x = -8
pleaseeeee help (15 points)
Answer:
Step-by-step explanation:
what are the vocabulary words that u are supposed to use?
The type of triangle is .............angled triangle
70
50
A) Acute
B) Obtuse
C) Right
Ο Α
Ов
Ос
Answer:
Step-by-step explanation:
Angle 1 and angle 2 are supplementary. angle 1 measures 3x and angle 2 measures 2x + 10. what does x equal?
Step-by-step explanation:
3x+2x+10=180
5x+10=180
5x=170
x=34
so the value of x is 34
The value of x is 34.
Here,
Angle 1 and angle 2 are supplementary.
And, angle 1 measures 3x and angle 2 measures 2x + 10.
We have to find the value of x.
What is Supplementary angle?
Supplementary angles are those angles that sum up to 180 degrees.
Now,
Angle 1 and angle 2 are supplementary.
⇒ ∠1 + ∠2 = 180°
And, angle 1 measures 3x and angle 2 measures 2x + 10.
⇒ 3x + 2x + 10 = 180
⇒ 5x + 10 = 180
⇒ 5x = 170
⇒ x = 34
Hence, The value of x is 34.
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Mrs. Baker found 25 shells on the beach. She brought 2/5 of the shells to her
classroom. The rest of the shells she set on a bookshelf at her house. How many
shells did she bring to schoof? How many shells are at her house? (Show your work
on another sheet of paper if necessary.)
Answer:
A. 10 B. 15
Step-by-step explanation:
A. 25/1 * 2/5= 50/5
reduced it is 10
B. 25-10=15
Answer:
she brought 10 shells to her classroom and 15 shells to her house. Hope that helps!
A ramp is propped against the back of a truck. There is a 30 degree
angle between the ramp and the horizontal pavement
If the distance along the ground from the end of the ramp to the point
on the ground below the back of the truck is 9 feet, how long is the
ramp, in feet? Round your answer to the nearest whole number,
Step-by-step explanation:
hope it help:)
/////////////////////
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the ramp is equal to 10ft.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The length of the ramp is,
Cos(θ) = Base/Hypotenuse
Cos(30°) = 9ft /The length of the ramp
The length of the ramp = 9ft/Cos(30°)
Length of the ramp = 10.3923 ft ≈ 10ft
Hence, the length of the ramp is equal to 10ft.
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A Monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.
How high off the ground is the top of the monument?
Please help
Answer:
65 meters
Step-by-step explanation:
The height of the monument off the ground = x + 5
Find x using Pythagorean Theorem:
x = √(61² - 11²)
x = √3,600
x = 60 meters
Height of the monument off the ground = x + 5 = 60 + 5 = 65 meters
Answer: 65
Word Problem: A Monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high and 11 meters long. The longest side of the Triangular monument measures 61 meters.
Question: How high off the ground is the top of the monument?
