​(a) The shape of the sampling distribution of the sample mean is approximately normal. Is this true or​ false?
Answer:
Shape of sampling distribution of sample mean being approx normal or not depends upon sample size.
Step-by-step explanation:
'The shape of the sampling distribution of the sample mean is approximately normal' might be true or false, depending on sample size.
If the sample size satisfies the condition of being sufficiently large, the shape of sampling distribution of sample mean becomes more bell shaped normally distributed (even more normally distributed than actual population).
Central Limit theorem also states this - Larger the sample size, shape of sampling distribution of sample mean becomes more normally distributed around population mean.
Scores on a common final exam are normally distributed with mean 71 and standard deviation 9. Department policy is that the top 10% of students receive an A. The minimum exam score to be awarded an A is about:
Answer:
The minimum exam score to be awarded an A is about 8.52.
Step-by-step explanation:
Let X represent the scores on a common final exam.
It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.
It is provided that according to the department policy is that the top 10% of students receive an A.
That is, P (X > x) = 0.10.
⇒ P (X < x) = 0.90
⇒ P (Z < z) = 0.90
The corresponding z-score is:
z = 1.28
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52[/tex]
Thus, the minimum exam score to be awarded an A is about 8.52.
What is 6.804 rounded to the nearest hundreth
Answer:
6.8
Step-by-step explanation:
12/x = 10/12
Solve problem to the nearest tenth
A shirt is discounted by 40%. The discounted prices is $72. What was the original price of the shirt? PLEASE HELP!!
Answer:
120
Step-by-step explanation:
Please help I am taking a test! I will reward brainiest if you are correct (the picture is attached) for number 11!!
Answer:
I confirm that the person above me is right.
Step-by-step explanation:
Enjoy your brainliest ;)
factor this expression completey -3x - 12
Answer:
-3(x+4)
Step-by-step explanation:
you just factor out -3
Answer: -3(x+4)
Step-by-step explanation:
Hii, do you need to factor -3x-12? No problem!
Note that -3x and -12 have a -3 in common, so we can factor it out by dividing both -3x and -12 by -3.
x+4 (A negative number divided by a negative number gives us a positive result)
Next, we put parentheses around x+4
(x+4)
Now we put -3 outside these parentheses
-3(x+4)
Voila! There's our solution, cheers!
--
Hope that this helped! Best wishes.
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If the probability (p-value) is smaller than 05 (alpha level) then we can conclude that the means are
different and our study is significant.
True
False
What’s the intercepts
Answer:
X-
(7/6,0)
y-
(0,-7/3)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s):
(7/6,0)
y-intercept(s):
(0,−7/3)
Based on this poll, find a 95% confidence interval to estimate the percentage of U.S. adults who feel that access to healthcare is the most urgent health problem facing this country. Interpret your interval in context.
Answer:
Confidence Interval Meaning, Implication, Formula
Step-by-step explanation:
95% confidence interval is the range around the stable estimate, which has 95% certainty (or probability) of containing true population parameter.
Formula : x' + z (s/ √n)
Where : x' = sample mean, confidence level value, s = standard deviation, sample size
By using sample size, sample mean, sample standard deviation of US people 'considering health care access most important' - & using above formula - range containing actual population proportion (with 95% sure probability) thinking the same.
What is the quotient of 3/5 divided by 2/7
Answer:
21/10
Step-by-step explanation:
Answer:
It is 1/2
Step-by-step explanation:
Please mark me brainiest and like and rate 5 stars ;)
What is 10^6 ÷ 10^4.
Answer:
[tex]10^{2}[/tex]
Step-by-step explanation:
[tex]10^{6} /10^{4}[/tex]
=> [tex]10^{2}[/tex]
Proof,
10 * 10 * 10 * 10 * 10 * 10 / 10 * 10 * 10 * 10
4 ten's cancel each other, leaving behind 2 ten's, and,
10 * 10 is the same thing as [tex]10^{2}[/tex]
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
What 2 numbers that are the same make 2025?
Answer:
45
Step-by-step explanation:
Square root 2025 and you will get 45
45 times 45= 2025
Answer:
Step-by-step explanation:
If you are multiplying then 45 * 45 = 2025
If you are adding then 1012.5 + 1012.5 = 2025
Alison has $400 saved and gets $15 per week for her allowance. If she saves
her allowance for the next 6 weeks, and then spends $80 on a scooter, how
much money will she have after the 6 weeks?
Which of the following sets of equations represents this problem?
Answer:
77
Step-by-step explanation:
dont use that
Alison has $400 saved and gets $15 per week for her allowance. If she saves
her allowance for the next 6 weeks, and then spends $80 on a scooter, how
much money will she have after the 6 weeks?
Which of the following sets of equations represents this problem?
Answer:
$410
Step-by-step explanation:
15*6=90
90-80=10
400+10=410
$410
Evelyn wants to estimate the proportion of people who own a tablet computer. A random survey of individuals finds a 95% confidence interval to be (0.62,0.78). What is the correct interpretation of the 95% confidence interval
Answer:
The correct interpretation of the 95% confidence interval is that there is 95% confidence that the true proportion of people who own a tablet computer is within the upper limit (0.78) and the lower limit (0.62) of the confidence interval
Step-by-step explanation:
From the question we are told that
The 95% confidence interval is (0.62,0.78)
Generally the correct interpretation of the 95% confidence interval is that there is 95% confidence that the true proportion of people who own a tablet computer is within the upper limit (0.78) and the lower limit (0.62) of the confidence interval
The two parallelograms below are similar.
Answer:
C, 34 inches
Step-by-step explanation:
1. We can see that 30 is the length of one of the sides on the larger parallelogram. The same side has a length of 12 inches on the smaller one. So, we need the difference of these 2 to figure out PQ.
30 - 12 = 18 inches (the difference)
2. Add 18 to 16 (the bottom side on the small parallelogram) to figure out what the bottom side of the large parallelogram would be.
16 + 18 = 34 inches (answer C)
What's the value of 16-2t=5t+9
Step-by-step explanation:
16-9=5t+2t
7=7t
t=1
The answer is 1
Answer:
t=1
Step-by-step explanation:
16-2t=5t+9
+2t +2t
16=7t+9
-9 -9
7=7t
t=1
PLEASE SAVE MY LIFE!
Answer:
13r/4
Step-by-step explanation:
aha i looked it up xD
The explanation is you have to put the whole number over its self.Then they have to have common denominator.Then add
8 - 9(9n + 2) = 2(-5 + 11n)
Answer:
-103n = 0
Step-by-step explanation:
Watch my following steps:
8 - 81n - 18 = -10 + 22n
8 - 81n - 22n = -10 + 18
-81n - 22n = 8 - 8
-103n = 0
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1. The weights of 20 year old vegetarian women are normally distributed with a standard deviation σ = 15 pounds. How large of a sample would be need to estimate the mean weight μ of 20 year old vegetarian women with a margin of error of 5 pounds with 95% confidence?
Answer:
34.5744 ≈ 35
Step-by-step explanation:
The formula for Margin of Error
= z × σ/√n
Where
z = z score of the confidence interval = z score of 95% = 1.96
σ = 15 pounds
n = number of samples = ??
Margin of Error = 5
Hence,
5 = 1.96 × 15/√n
Cross Multiply
5 × √n = 1.96 × 15
Divide both sides 5
√n = 1.96 × 15/5
√n = 1.96 × 3
√ n = 5.88
Square both sides
n = 5.88²
n= 34.5744
Approximately the size = 35
I need help, I don’t get this math question. 2. Using exponents, what is the simplified form of 15x6/3x2
F. 5x4
G. 5x3
H. 5x
I. 5
Answer:
F. [tex] 5x^{4} [/tex]
Step-by-step explanation:
[tex] \dfrac{15x^6}{3x^2} = [/tex]
[tex] = \dfrac{3 \times 5}{3} \times \dfrac{x^6}{x^2} [/tex]
[tex] = 5 \times x^{6 - 2} [/tex]
[tex] = 5x^4 [/tex]
I have 2 Apples that way at least 0.33 pounds, I gained 2 from my mom and dad and I gave 2 to my friends, how much do my remaining apples weight
Answer:
0.33
Step-by-step explanation:
Because you have 2 apples that weigh 0.33 pounds you gain 2 from your parents then give 2 to your friends so you have 2 left or....0.33 pound left.
Hope this helps☺️
1. Which function is best represented by this graph?
Step-by-step explanation:
the answer is y=1/4 ×-2
FOLLOW ME ☺️I HOPE IT HELP1. You plan to drive to a resort that is 399 miles away. Your car presently gets 28 miles per gallon. How many
gallons of gas will it take you to get to the resort?
Answer: 399÷28= 14.25
Step-by-step explanation:
Divide 399 by 28 = 14.25 gal
g 5 points It is known that a certain lacrosse goalie will successfully make a save 80% of the time. (Assume that all save attempts are independent.) Suppose that the lacrosse goalie attempts to make 12 saves. (Round answers to three decimal places.) (a) What is the probability that the lacrosse goalie will make at least 10 saves
Answer:
The probability that the lacrosse goalie will make at least 10 saves is 0.558.
Step-by-step explanation:
Let X denote the number of saves the lacrosse goalie will successfully make.
It is provided that the probability of the lacrosse goalie making a successfully save is, p = 0.80.
It is assumed that all save attempts are independent.
Suppose that the lacrosse goalie attempts to make n = 12 saves.
The random variable X follows a binomial distribution with parameters n = 12 and p = 0.80.
Compute the probability that the lacrosse goalie will make at least 10 saves as follows:
[tex]P(X\geq10 )=P(X=10)+P(X=11)+P(X=12)[/tex]
[tex]={12\choose 10}(0.80)^{10}(0.20)^{2}+{12\choose 11}(0.80)^{11}(0.20)^{1}+{12\choose 12}(0.80)^{12}(0.20)^{0}\\\\=0.2835+0.2062+0.0687\\\\=0.5584\\\\\approx 0.558[/tex]
Thus, the probability that the lacrosse goalie will make at least 10 saves is 0.558.
An open box is to be made from a ft by ft rectangular piece of sheet metal by cutting out squares of equal size from the four corners and bending up the sides. Find the maximum volume that the box can have.
Answer:
432 cm[tex]^{3}[/tex]
Step-by-step explanation:
The volume of the box can be determine by using derivative function:
V = (18 - 2x) (18 - 2x) x
dV/dx = 4x^3 + 324 + 144x
equating to zero;
(x - 9) (x - 3) = 0
x = 9 , 3
putting the values in the equation;
V = (18 - 2 [3]) (18 - 2[3]) 3
volume = 432.
consider a cubic polynomial function g(x) with solutions x = 3 and x =2 -i. what statement must be true?
x = 3 would be your answer
because i have no clue just thanks and five stars please
I triangle ABC is dilated by a scale factor of 3 with a center of (2.1). what is the location of A?
A(n) ________ hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true. g
Answer: A null hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true.
Step-by-step explanation:
The null hypothesis[tex](H_0)[/tex] and alternative hypothesis[tex](H_a)[/tex] both are statements as per the researcher's claim that involves population parameter .
Null hypothesis has ≤,≥ ,= signs
Alternative hypotheses has < , > , ≠ signs.
A null hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true.