A recent study revealed that the average weight of babies born in the United States is normally distributed with a mean of 7.5 pounds. This number is lower than recent years and so researchers are interested in determining what factors are associated with lower birth weights. One researcher decides to look at the age of the mother to determine if younger mothers have babies that are significantly heavier or lighter than average. To study this the researcher collects data from 87 babies who were born to mothers between the ages of 16 and 18. Only one baby was measured per mother. Twins and other multiple births were excluded. The average weight for these babies was 7.3 pounds with a standard deviation of .6 pounds.

Which of the following statements is relevant to the assumption of Normality?

a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population
b. only one baby was measured per mother
c. weights of babies are normally distributed in the population
d. the study used a sample that is different than the comparison population and measured weight on a ratio scale

Answer:

First look at the number of bricks alone.

Going from 50 bricks to 60 bricks is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 60/50

Next look at the time alone.

Going from 30 minutes to 20 minutes is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 30/20

Now you can just multiply everything.

= 5*60/50*30/20

= 5*6/5*3/2

= 90\10

= 9.

Answer:

Volume = surface area

[tex]\frac{4}{3}\pi r^3 = 4\pi r^2\\\\\frac{r}{3} = 1\\r = 3[/tex]

option B

Answer:

y +x and the answer will be xy

Answer:

by solving 3

Step-by-step explanation:

Answer:

The width of the rectangular field is equal to 74 yards.

General Formulas and Concepts:
Algebra I

Equality Properties

Terms/Coefficients

Geometry

Perimeter Formula [Rectangle]:
[tex]\displaystyle P = 2l + 2w[/tex]

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = 332 yds

l = 92 yds

Step 2: Find Width

∴ the width of the field is equal to 74 yards.

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Learn more about Geometry: https://brainly.com/question/27795993

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Topic: Geometry

Answer:

x = -2 ± 452i

Step-by-step explanation:

x² + 4x = 117

x² + 4x - 117 = 0

if you solve this quadratic by using the quadratic formula you get:

x = -2 ± 452i

452i is an imaginary number that equals [tex]\sqrt{-452}[/tex]

Answer:

Jack=9, John= 19

Step-by-step explanation:

28/3=9 1/3, counting as nine, as thats what got the right answer in my homework.

9 *2) +1= 19, no idea why the plus one, thats just what showed up

J1=19

J2=9

Answer:

C) The 90% interval was constructed using a method that results in intervals which capture the true difference in the proportion of seniors who are enrolled in AP classes and the proportion of juniors who are enrolled in AP classes 90% of the time.

Step-by-step explanation:

x% confidence interval -> Options c, d and e:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

This means that options d and e are correct, while option c is not true.

Option a -> Critical Value:

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

This means that option A is true.

Estimate of the standard error:

Before building the estimate, we should take a look at the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes 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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

26 of 75 seniors:

This means that:

[tex]p_s = \frac{26}{75} = 0.3467, s_s = \sqrt{\frac{0.3467*0.6533}{75}} = 0.055[/tex]

15 of 70 juniors:

This means that:

[tex]p_j = \frac{15}{70} = 0.2143, s_j = \sqrt{\frac{0.2143*0.7857}{70}} = 0.049[/tex]

Estimate of the standard error:

[tex]s = \sqrt{s_s^2 + s_j^2} = \sqrt{0.055^2 + 0.049^2} = 0.074[/tex]

Thus option b is correct.

Answer:

x-7=16

Step-by-step explanation:

if x=23 substitute it in the equation

so; 23-7=?

23-7=16

your answer would be 16

Answer:

my dad never returned home

Answer: 1/2

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Given :-

And we need to find out the equation of the line .We are here given slope and a point . So we can use the slope point form of the line. As ,

[tex]:\sf\implies m ( x - x_1)= y - y_1 \\\\\sf:\implies \dfrac{-1}{8}(x -0)= y - (-4) \\\\\sf:\implies \dfrac{-x}{8}= y +4 \\\\\sf:\implies \boxed{ \sf\red{y = \dfrac{-x}{8}-4}}[/tex]

Hence the option C is correct.

Answer:

[tex](a)\ Sum = x^3+8x^2-4x+9[/tex]

[tex](b)\ Sum =3x^3-7x^2+6x +16[/tex]

[tex](c)\ Sum = x^3-x^2+10x+6[/tex]

[tex](d)\ Sum = 3x^4 -3x^3+ 6x^2-x+2[/tex]

Step-by-step explanation:

Required

Sum of the polynomials

[tex](a)\ x^3+5x^2+2, 3x^2-4x+7[/tex]

[tex]Sum = x^3+5x^2+2+3x^2-4x+7[/tex]

Collect like terms

[tex]Sum = x^3+5x^2+3x^2-4x+2+7[/tex]

[tex]Sum = x^3+8x^2-4x+9[/tex]

[tex](b)\ 2x + 5x^3-2x^2+7, 9+4x-5x^2-2x^3[/tex]

[tex]Sum =2x + 5x^3-2x^2+7+ 9+4x-5x^2-2x^3[/tex]

Collect like terms

[tex]Sum =5x^3-2x^3-2x^2-5x^2+4x+2x +7+ 9[/tex]

[tex]Sum =3x^3-7x^2+6x +16[/tex]

[tex](c)\ 5x^3+2x^2+4, 2x^2+7x-5, 7-5x^2 +3x-4x^3[/tex]

[tex]Sum = 5x^3+2x^2+4+ 2x^2+7x-5+ 7-5x^2 +3x-4x^3[/tex]

Collect like terms

[tex]Sum = 5x^3-4x^3+2x^2+ 2x^2-5x^2+7x+3x-5+ 7 +4[/tex]

[tex]Sum = x^3-x^2+10x+6[/tex]

[tex](d)\ 2x^4-3x^2+4x^3-5, 9x^2-7x^3-2x^4, 7-x+3x^4[/tex]

[tex]Sum = 2x^4-3x^2+4x^3-5+ 9x^2-7x^3-2x^4+ 7-x+3x^4[/tex]

Collect like terms

[tex]Sum = 2x^4-2x^4+3x^4 +4x^3 -7x^3-3x^2+ 9x^2-x-5+ 7[/tex]

[tex]Sum = 3x^4 -3x^3+ 6x^2-x+2[/tex]

Answer:

6 cm = __6*10=60____ mm *

50 mm = _[tex] \frac{50}{10} [/tex]__=5___ cm

100 mm=__[tex] \frac{100}{10} [/tex]=10____cm

20 mm = __[tex] \frac{20}{10} [/tex]_=2_____ cm

5kg = _5*1000=5000_____ g *

800g = ____[tex] \frac{800}{1000} [/tex]=0.8___kg

6000mg = ___[tex] \frac{6000}{1000000} [/tex]=0.006___kg *

2lit = _2*1000=2000_ml *

75ml = __[tex] \frac{75}{1000} [/tex]=0.075_lit *

82km = 82*1000=82000__m

Answer:

Step-by-step explanation:

so when the height is zero, that's when the rocket hits the ground.  The equation will have two zeros,  but one would be for a negative time,  or before the rocket is launched.    so we only one the one after the rocket is launched.

use the quadratic formula to solve for  x  ( which is time)

-124 +- sqrt [ [tex]124^{2}[/tex] - 4*(-16)*(127) ] / 2 (-16)

-124 +- sqrt [15376 + 8128 ] / -32

-124 +- sqrt [23504 ] / -32

-124 +- 153.310 / -32

if we take the positive part it will become the negative time so skip that one try the negative part 1st

-124 - 153.310 / -32

-277.310 / -32

8.6659 seconds to hit the ground.    ( time of flight)  aka   TOF

8.67 seconds  ( rounded to nearest 100th)

Answer: t>3

Step-by-step explanation:

PLATO

Answer:

t > 5

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

4x - 5 = 2x + 19

First subtract the 2x from 4x.

2x - 5 = + 19

Then add the 5 to the 19.

2x = 24

Divide 24 by 2 in order to get x by itself.

x = 12

Answer: x > 20

Step-by-step explanation:

9 - x < - 11

In this scenario, we've to collect like terms in order to.wolve for x. This will be:

9 - x < - 11

- x < - 11 - 9

- x < - 20

Divide both side by -1

-x/-1 < -20/-1

When we divide by a coefficient with minus sign, the sign changes too from less than to greater than

-x/-1 < -20/-1

x > 20

Answer:

10,369.04

Step-by-step explanation:

Sorry if i'm wrong i got a little confused with this

Answer:

164

Step-by-step explanation:

5×8×2=80

7×12=84

84+80=164

Answer:

m - mn

Step-by-step explanation:

The two numbers are denoted by m and n respectively.

From the question, we can deduce the following points;

- the difference between m and another variable (mn).

- product or multiplication of m and n.

Translating the word problem into an algebraic expression, we have;

m - (m*n)

m - mn

Answer:

Solution given:

4x-16+2x+16=180{linear pair are supplementary]

6x=180

x=180/6

x=30

is a required answer.

Answer: 7.5 gallons

Step-by-step explanation:

1. You divide 15 by two

Answer:

I think it B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

h=2x^2

b=5x^2+4x

we know that

area of triangle (A)=1/2×b×h

=1/2×2x^2×(5x^2+4x)

=x^2(5x^2+4x)

=5x^4+4x^3 square units

Answer:

(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.

Step-by-step explanation:

According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327.

At the null hypothesis, we test if the mean salary is the expected salary of $45,327, that is:

[tex]H_0: \mu = 45327[/tex]

At the alternate hypothesis, we test if the salary is greater than the expected salary of $45,327, that is:

[tex]H_1: \mu > 45327[/tex]

With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?

The p-value of the test if 0.045 < 0.05, which means that there is sufficient evidence to accept the alternate hypothesis, that is, to conclude that the mean salary for all recent college graduates from the small college is greater than $45,327.

This means that the correct answer is given by option A.

Answer:

135.48

Step-by-step explanation:

g00gl3

Answer:

135.5

Step-by-step explanation:

0.62 = 62% and 135.5 times 0.62 is 84.01

Answer:

1320m

hope this helps

have a good day :)

have a good day :)

Step-by-step explanation:

Answer:

She will see that the pressure went up, not down!

Step-by-step explanation:

1. In a closed system, The volume inside the tire shouldn't change much (the losses will be small)

2. For a closed system, the Pressure inside a bicycle tire will increase with the increase of its Temperature

3. In a long bicycle ride, the constant friction of the tire to the ground will heat up the air inside the tire, thus increasing the pressure inside the tire

Answer:

Part a:

"The unit has 7 or more rooms" in terms of X is given by the unit which has 7, 8, 9 or 10 rooms.

P{ X≥7}= 0.424

Part b:

The event {X > 7} in words is that the unit has more  than 7 rooms. .

Part C:

A continuous random variable  is given by intervals of numbers

A discrete random variable is the variable that is obtained by counting.

Step-by-step explanation:

Part a:

"The unit has 7 or more rooms" in terms of X is given by

{ X≥7} = {x=7} + {x=8} + {x=9} + {x=10}

the unit which has 7, 8, 9 or 10 rooms.

The probability of this event is given by

P{ X≥7} =P {x=7} + P {x=8} + P {x=9} + P {x=10}

P{ X≥7} = 0.198 + 0.149+ 0.053 + 0.024

P{ X≥7}= 0.424

Part b:

The event {X > 7} in words is that the unit has more  than 7 rooms. This does not include the unit having 7 rooms.

Part C:

A continuous random variable takes all the values in the given interval as in part a.The random variable X takes the values between 7 and 10 inclusive of 7.

A discrete random variable is the variable that is obtained by counting as in part b. The variable X takes the values of the units with 8 , 9 or 10 rooms.

Answer:

46 miles per hour

Step-by-step explanation:

ِAn hour has 60 minutes. In 60 minutes, there is four 15 minutes (4*15 = 60).

So, if it travelled 11.5 miles in 15 minutes, in an hour, it travelled 11.5 * 4 = 46 miles per hour.

The miles per hour he was travelling is 46 miles.

The first step is determine the average speed. Average speed is the total distance travelled per time.

Average speed = total distance / total time

11.5 / 15 = 0.766667 miles / per minutes

Miles travelled = average speed x time

Miles travelled =  0.766667 x 60 = 46 minutes

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