Answer: no solution
Step-by-step explanation:
X ~ N(70, 14). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let ?X be the random variable of sums. Find the 10th percentile. (Round your answer to two decimal places.)
Answer:
The 10th percentile is 66.42.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
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.
X ~ N(70, 14).
This means that [tex]\mu = 70, \sigma = 14[/tex]
Suppose that you form random samples of 25 from this distribution.
This means that [tex]n = 25, s = \frac{14}{\sqrt{25}} = 2.8[/tex]
Find the 10th percentile.
This is X when Z has a pvalue of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1.28 = \frac{X - 70}{2.8}[/tex]
[tex]X - 70 = -1.28*2.8[/tex]
[tex]X = 66.42[/tex]
The 10th percentile is 66.42.
D) y= x - 3/2
HELP ME PLS
Answer:
i think it's A
Step-by-step explanation:
7.59 x 10^5 in standard form
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{7.59 \times 10^5}[/tex]
[tex]\mathsf{10^5}[/tex]
[tex]\mathsf{= 10(10)(10)(10)(10)}[/tex]
[tex]\mathsf{10(10) = 100}[/tex]
[tex]\mathsf{= 100(100)(10)}[/tex]
[tex]\mathsf{100(100) = 10,000}[/tex]
[tex]\mathsf{= 10,000(100)}[/tex]
[tex]\mathsf{= 100,000}[/tex]
[tex]\mathsf{7.59(100,000)}[/tex]
[tex]\mathsf{= \bf 759,000}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: \bf 759,000}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
please help im stuck in this answer pls pls pls help me
Concert marketing: The college’s performing arts center wanted to investigate why ticket sales for the upcoming season significantly decreased from last year’s sales. The marketing staff collected data from a survey of community residents. Out of the 110 people surveyed, only 7 received the concert brochure in the mail.
Which of the following is a reason that the marketing staff should not calculate a confidence interval for the proportion of all community residents who received the concert brochure by mail? Check all that apply.
A) The sample needs to be random, but we don’t know if it is.
B)The actual count of community residents who received the concert brochure by mail is too small.
C)The actual count of students who community residents who didn’t receive the concert brochure by mail is too small.
D) n(p‐hat) is not greater than 10.
E) n(1 minus p‐hat) is not greater than 10.
Keep in mind, this is a Check all that apply question.
Answer:
A, B, D
What is the y-intercept of the line?
Answer:
28
Step-by-step explanation:
Answer: 5 is the y-intercept and -16 is the slope
22 - 17 = 5
32 - 48 = -16
Step-by-step explanation:
Can you plz help I don’t understand
Answer: 4.2
Step-by-step explanation:
A kite is flying at the end of a 20-meter string. If the string makes an angle of 55° with the ground, how many meters above the ground, to the nearest meter, is the kite
The total distance of Kite from the ground is 16.38 meters and this can be determined by using the trigonometric function.
Given :
A kite is flying at the end of a 20-meter string. The string makes an angle of 55° with the ground.The following steps can be used in order to determine the total distance of Kite from the ground:
Step 1 - The trigonometric functions can be used in order to determine the total distance of Kite from the ground.
Step 2 - The sine function is used to measure the distance. The mathematical expression of the sine function is:
[tex]\rm sin\theta = \dfrac{P}{H}[/tex]
where P is the perpendicular and H is the hypotenuse.
Step 3 - Now, substitute the values of the known terms in the above expression.
[tex]\rm sin55 = \dfrac{Distance}{20}[/tex]
Step 4 - Simplify the above expression.
Distance = 16.38 meters
For more information, refer to the link given below:
https://brainly.com/question/13710437
Evaluate: 6 + 6 x 23 – 2)
Answer:
=6x23+4
Step-by-step explanation:
6+6x23−2
=6+6x23+−2
Combine Like Terms:
=6+6x23+−2
=(6x23)+(6+−2)
Answer:
12 x 21
Step-by-step explanation:
hope this help -____-
p.s. can u give brainliest???
Jordan went to the grocery store. He bought 8.5 pounds of ham at $2.50 per pound. He also bought 7.5 pounds of turkey at $3.20 per pound. How much more money did he spend on the turkey compared to the ham?
Answer:
how to delete a question can you tell me
Solve for w. Only use numbers in your answer.
8w - 15 = 57
w =
Answer:
w = 9
Step-by-step explanation:
1. Add 15 from both sides: 8w = 72
2. Divide my 8: w = 9
Answer:
the answer for this question is 9
Yaro buys a baseball cap for $9.50. He also buys a new baseball. Yaro speads $13.50 altogether.
Answer:
13.5 = 9.5 + x
x=4
Step-by-step explanation:
In this problem, the price of the baseball cap, which is $9.50, and a baseball, whose price is unknown (and therefore must be the variable), total $13.50. So, to set up the equation add the two prices and set them equal to the total, 9.5+x=13.5.
Then, using the subtraction property of equality subtract 9.5 from both sides. This means x=4, so the baseball cost 4 dollars.
what is the value of n when 3/5 of n is 27?
Answer:
n=45
Step-by-step explanation:
divide 27 by 3 and you get 1/5 of n. Then multiply the number you got (9) by 5 to get 1 whole. your answer is then 45
a recipe for 18 meatballs cost for 2 oz of cheese Reese's make a 90 meatballs for a community dinner and have 7 oz of cheese how much more cheese does she need
Answer:
3 oz of cheese.
Step-by-step explanation:
18 meatball = 2 oz of cheese (Half it)
9 meatballs = 1 oz of cheese (times it by 10)
90 meatballs = 10 oz of cheese (-7 oz of cheese)
She needs 3 oz of cheese more
an employer pays three workers x,y,z a total amount of 6100 a month. x is paid 125% of the amount y is paid; which represent 80% of the amount z is paid. how much does x receive a month
Answer:
X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.
Step-by-step explanation:
Since an employer pays three workers X, Y and Z a total amount of $ 6100 a month, of which X is paid 125% of the amount Y is paid; which represents 80% of the amount Z is paid, to determine how much does X receive a month the following calculation must be performed:
X = 1.25Y
Y = 0.8Z
Z = Z
Z + Y + X = 6,100
Z + 0.8Z + (1.25 x 0.8Z) = 6,100
Z + 0.8Z + Z = 6,100
2.8Z = 6,100
Z = 6,100 / 2.8
Z = 2,178.57
Y = 0.8 x 2,178.57 = 1,742.85
X = 1,742.85 x 1.25 = 2,178.57
2,178.57 + 2,178.57 + 1,742.85 = X
6,099.99 = X
Thus, X earns $ 2,178.57, as does Z, while Y earns $ 1,742.85.
Please solve this math question.
Answer:
none of these
Step-by-step explanation:
the side lengths are are 2√5/5, 2, and 4.
sin(x) = opp/hyp
sin(x) = 2/2√5
Porcupines can cause damage to wood structures by chewing them. Researchers studied a liquid repellent
designed to reduce such damage. A sample of 20 wooden blocks of the same size were treated with the
repellent and left outside in an area where porcupines are known to live. After a certain amount of time, the
blocks were inspected for the number of porcupine teeth marks visible. The data were used to create the
95 percent confidence interval (4.9,5.8).
Which of the following claims is supported by the interval?
A
The expected number of porcupine teeth marks on a wooden block treated with the
repellent is less than 5.
B
B
The expected number of porcupine teeth marks on a wooden block treated with the
repellent is 5.
с
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is 6.
D
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is greater than 6.
E
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is less than 6.
Answer:
The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.
Step-by-step explanation:
The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.
Option A and E are the correct answer.
What is a confidence interval?A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.
It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.
We have,
The 95% confidence interval for the mean number of porcupine teeth marks on wooden blocks treated with the repellent is (4.9, 5.8).
This means that we can be 95% confident that the true mean number of porcupine teeth marks on all such wooden blocks falls between 4.9 and 5.8.
Option A states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is less than 5.
This claim is supported by the confidence interval since the upper limit of the interval is less than 5.
Option B states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is 5.
This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are greater than 5.
Option C states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is 6.
This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are less than 6.
Option D states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is greater than 6.
This claim is not supported by the confidence interval, since the upper limit of the interval is less than 6.
Option E states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.
This claim is supported by the confidence interval since the upper limit of the interval is less than 6.
Therefore,
The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.
Learn more about confidence intervals here:
https://brainly.com/question/17212516
#SPJ2
6. Use the bar diagram to help you solve the equation 4x - 12 = 16.
Answer:
1. 4x=16+12
2. 4x=28
3. 4x over 4=28 over 4
4. 4 is cancelled by 4 and x will remainder =7
5. x=7
that's it good luck
A carpenter buys a box containing 0.6 kilogram of nails. Each nail has a mass of 5 grams. How many nail are in the box?
How many invitations should Tyler make each day if his goal is 122 and he already made 66 and he wants to finish in a week
Solve for X in the figure below, knowing line L is parallel to line M. Thank you! Will give Brainliest.
Marge conducted a survey by asking 350 citizens whether they frequent the city public parks. Of the citizens surveyed, 240 responded favorably.
What is the approximate margin of error for each confidence level in this situation?
0.07
0.03
0.04
0.05
0.06
99%
95%
90%
Answer:
The margin of error for a 99% confidence interval is of 0.0639, that is, approximately 0.06.
The margin of error for a 95% confidence interval is of 0.0486, that is, approximately 0.05.
The margin of error for a 90% confidence interval is of 0.0408, that is, approximately 0.04.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
350 citizens, 240 responded favorably:
This means that [tex]n = 350, \pi = \frac{240}{350} = 0.6857[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
[tex]M = 2.575\sqrt{\frac{0.6857*0.3143}{350}} = 0.0639[/tex]
The margin of error for a 99% confidence interval is of 0.0639, that is, approximately 0.06.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
[tex]M = 1.96\sqrt{\frac{0.6857*0.3143}{350}} = 0.0486[/tex]
The margin of error for a 95% confidence interval is of 0.0486, that is, approximately 0.05.
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
[tex]M = 1.645\sqrt{\frac{0.6857*0.3143}{350}} = 0.0408[/tex]
The margin of error for a 90% confidence interval is of 0.0408, that is, approximately 0.04.
PLEASE HELP ASAP I WILL MARK BRAINLIEST!!
Lacey went to the fair. She paid $5 for the entrance fee. Each ride ticket cost $0.25. Lacey spent $12.50 at the fair. Which equation can be used to find how many ride tickets Lacey bought?
A $0.25r + $5 = $12.50
(в $0.25r + $5r= $12.50
C. 5r + $0.25 = $12.50
D. $0.25r-$5 = $12.50
Answer:
A
Step-by-step explanation:
cause im smart
Jason has 5 boxes and 3 cases of soup cans Each box contains 6 cans and each case contains 36 cans How many cans of soup does Jason have altogether?
1. 138
2. 198
3. 288
4. 3,240
A fraction of the figure below is shaded.
3rd grade
Answer:
D
Step-by-step explanation:
The fraction of the shaded square above is 1/6 and the one number line for D is also 1/6 of 1
Complete the congruency statement for the triangles
Answer:
∆ABC ≅ ∆EDF by the SAS Congruence Theorem.
Step-by-step explanation:
<A ≅ <E,
Side length AC ≅ Side length EF
Side length AB ≅ Side length ED,
Thus, this implies that an included angle and two sides of one triangle are congruent to an included angle and 2 corresponding side lengths of the other triangle.
Therefore, we would conclude that:
∆ABC ≅ ∆EDF by the SAS Congruence Theorem.
What is the equation of the line that passes through the point (-6, -6) and has a
slope of - 1/3
Answer:
The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Slope of - 1/3
This means that [tex]m = -\frac{1}{3}[/tex]
So
[tex]y = -\frac{1}{3}x + b[/tex]
Through the point (-6, -6)
This means that when [tex]x = -6, y = -6[/tex]. So
[tex]y = -\frac{1}{3}x + b[/tex]
[tex]-6 = -\frac{1}{3}(-6) + b[/tex]
[tex]b + 2 = -6[/tex]
[tex]b = -8[/tex]
The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]
–12x +12 + 10x – 16 *
Answer:
x=2
Step-by-step explanation: you would have to move 10 to the other constant and add and then move 12 to 16 by adding 12 to 16 then divide the 2 number then BOMB
Today Aaliyah ran 4,5 miles per hour for three fourths (0.75 of an hour. How far do Aaliyah run today? PLEASE HELP
Answer:
4.5(0.75)= 3.375 miles
Answer:
3.6 miles
Step-by-step explanation:
4.5*0.25=1.125
1.125*3=3.6
Im just needing help with problem 1 and 2
Answer:
for both 1 and 2 you need the 1st equation (p= 2w+2l)
Step-by-step explanation:
1.
p=2(10)+2(7)
p=20+14
p= 34
2.
p=2(100)+2(24)
p= 200+48
p= 248