A researcher wants to determine if birthweights of children born to U.S. mothers is affected in any way when large megadoses of caffeine are consumed routinely by the mother during pregnancy. It is known that the birthweights are normally distributed with mean 7.5 pounds and standard deviation 1 pound. When drawing a sample of size 40 from such a population, and computing the mean birthweight in the sample, use the Central Limit Theorem to find the 2.5-th percentile of the distribution of sample means.

Answers

Answer 1

Answer:

7.19

Step-by-step explanation:

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Please help need help asap!!

Drag each equation to show if it could be a correct first step to solving the equation 2(x+7) =36

Answers

Answer:

(2.x) + (2.7) = 36

Step-by-step explanation:

Solving the given equation with the distributive property,

A(B + C) = (A.B) + (A.C)

So that,

2(x+7) = 36

(2.x) + (2.7) = 36

2x + 14 = 36

2x = 36 - 14

2x = 22

x = 11

From the given expressions, the option that is the correct first step to solving this equation is;

(2.x) + (2.7) = 36

Answer:

Here you go

Step-by-step explanation:

Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary.x-intercept 7; y-intercept -5

Answers

Answer:

The line with the x- and y-intercepts below has the following equation:

$f(x) = (5x)/(7) - 5$

Step-by-step explanation:

The equation of the line has the following format:

$f(x) = ax + b$

We are given two points, we are going to substitute them into the above equation, and find the equation of the line given the conditions.

Solution

Starting from the y-intercept makes the solution easier, since the term a is multiplied by 0

y-intercept -5

This means that when $x = 0, y = f(x) = -5$ , so:

$f(x) = ax + b$

$-5 = a(0) + b$

$b = -5$

For now, the line has the following equation:

$f(x) = ax - 5$

x-intercept 7

This means that when $y = f(x) = 0,x = 7$ , so:

$f(x) = ax - 5$

$0 = 7(a) - 5$

$7a = 5$

$a = (5)/(7)$

So, the line with the x- and y-intercepts below has the following equation:

$f(x) = (5x)/(7) - 5$

-6(x - 6) = x(16 - 7)
Help please

Answers

Answer:

the answer would be x equal 2.4

Step-by-step explanation:

sorry for my bad handwriting

Suppose that nine Massachusetts athletes are scheduled to appear at a charity benefit. The nine are randomly chosen from eight volunteers from the Boston Celtics and four volunteers from the New England Patriots. We are interested in the number of Patriots picked.a. In words, define the random variable X.
b. List the values that X may take on.
c. Give the distribution of X. X ~ _____(_____,_____)
d. Are you choosing the nine athletes with or without replacement?

Answers

Answer:

a) Random Variable - The value of this variable occur according to the frequency distribution

b) X may be volunteers from the Boston Celtics or the volunteer from New England Patriots

c) Distribution 1 to 13

d) Without replacement

Step-by-step explanation:

a) Random Variable - The value of this variable occur according to the frequency distribution

b) X may be volunteers from the Boston Celtics or the volunteer from New England Patriots

c) Distribution 1 to 13

d) Without replacement

Solve for x Write both solutions, seperated by a comma 4x^2+5x+1=0

Answers

Answer:

-1/4 , -1

Step-by-step explanation:

I solved it using Factorization method and Quadratic Equation .

Factorization Method

$4x^2+5x+1=0\nWrite +5x- as- a -difference(write+5x-using- two- numbers -in-which-their-sum-is ; 5-and-their-product-is ; 4)\n4x^(2) +4x+1x+1=0\nFactorize-out-common-terms\n4x(x+1)+1(x+1)=0\nFactor-out-(x+1)\n(4x+1)(x+1)=0\n4x+1 =0 \nx+1=0\n4x=0-1\nx =0-1\n4x =-1\nx =-1\n4x=-(1)/(4) \n\nAnswer = -1/4 , -1$

Quadratic Equation

$4x^2+5x+1=0\na = 4\nb =5\nc = 1\n\nx =(-b\±√(b^2 -4ac) )/(2a) \n\nx = (-(5)\±√((5)^2-4(4)(1)) )/(2(4)) \n\nx = (-5\±√(25-16) )/(8) \n\nx = (-5\±√(9) )/(8) \n\nx = (-5\±3)/(8) \n\nx =(-5+3)/(8) \n\nx = (-5-3)/(8) \n\nx = (-2)/(8) \n\nx = (-8)/(8) \n\nx = -(1)/(4) \nx=-1$

How many points do you need in order to name a ray?O
one
four
о
three
two

Answers

Answer: D) Two

You need the starting point, and another point that helps direct where the ray is aimed. Call these two points A and B.

Saying "Ray AB" means we extend a line through AB such that the line goes forever through B and beyond B, but we do not do the same for point A. The point A is effectively a cliff where no road goes on the other side of it. Check out the diagram below to see what I mean. The arrow means the line goes on forever in that direction.

Other Questions

The number of text messages sent by 25 13-year-olds over the past month are as follows791 542 671 672 555 582 616 961 639691 648 967 959 826 573 598 790 954711 515 649 960 949 802 507 a. Construct the frequency distribution using classes of 500 up to 600, 600 up to 700, etc.Texts Frequency500 up to 600 600 up to 700 700 up to 800 800 up to 900 900 up to 1000 Totalb. Construct the relative frequency distribution, the cumulative frequency distribution and the cumulative relative frequency distribution. (Round "Relative Frequency" and "Cumulative Relative Frequency" to 2 decimal places.)Texts Relative Frequency Cumulative Frequency Cumulative Relative Frequency500 up to 600 600 up to 700 700 up to 800 800 up to 900 900 up to 1000c-1. How many of the 13-year-olds sent at least 600 but less than 700 text messages?c-1. Number of 13-year-oldsNumber of 13-year-oldsc-2. How many sent less than 900 text messages?Number of 13-year-oldsd-1. What percent of the 13-year-olds sent at least 800 but less than 900 text messages? (Round your answer to the nearest whole percent.)Percent of 13-year-olds %d-5. What percent of the 13-year-olds sent less than 600 text messages? (Round your answer to the nearest whole percent.)Percent of 13-year-olds %

What to do for the me part

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What pair of numbers shows a common factor and a common multiple of 15 and 18?