Please help answer this ?!

Answer:

a) 0.0228

b) 94.6

Step-by-step explanation:

The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

n = random number of samples

Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,

a) what is the probability that the sample mean is above 95? (4 d.p.) b)

= x = 95

Hence:

z = 95 - 75/40/√16

= 20/40/4

= 20/10

= 2

Probability value from Z-Table:

P(x<95) = 0.97725

P(x>95) = 1 - P(x<95) = 0.02275

The probability that the sample mean is above 95 to 4 decimal places = 0.0228

b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?

97.5% chance = z score for the confidence interval = 1.96

Hence:

z = (x-μ)/σ/√n

1.96 = x - 75/40/√16

1.96 = x - 75/ 40/4

1.96 = x - 75/10

Cross Multiply

1.96 × 10 = x - 75

19.6 = x - 75

x = 19.6 + 75

x = 94.6

The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6

Answer:

The first option (11:36)

Step-by-step explanation:

When you convert the 3 feet to inches, you multiply by 12. There is 12 inches in each foot, so multiply 3 by 12 will result in 36.

We are comparing the 11 inches to the 3 feet (36 inches), so it would look like this:

11 : 36

(Can also be shown as 11 - 36)

1 Foot = 12 inches

3 feet x 12 = 36 inches.

Ratio = 11:36

Answer:

4 - 2 = 2

Step-by-step explanation

Answer:

Step-by-step explanation:

x: cupcakes

y: cakes

9514 1404 393

Answer:

  1.  d. 4x +32y ≤ 224

  2.  b. x ≤ 24

  3.  yes

Step-by-step explanation:

1. For x number of cupcakes, at 4 minutes each, the time required for their decoration is 4x.

For y number of cakes, at 32 minutes each, the time required for their decoration is 32y.

The total decorating time must be less than or equal to 224 minutes:

  4x +32y ≤ 224

__

2. For y=4, the constraint on x is ...

  4x +32(4) ≤ 224

  4x ≤ 96

  x ≤ 24

__

3. We can try the numbers and see if the inequality is true:

  4(32) +32(3) ≤ 224

  128 +96 ≤ 224 . . . . . . . . true (equal)

Yes, it is possible.

Answer:

The slope is -1/5

Step-by-step explanation:

y = mx +b is in slope intercept form

m is the slope and b is the y intercept

y = -1/5x -1

The slope is -1/5 and the y intercept is -1

Answer:

Step-by-step explanation:

The slope is -1/5

Answer:

15 ( for Herimone) And 8 ( For Stranger Things)

Step-by-step explanation:

When Herimone uses 5 grams of Pearl Sheen she creates 30 fluid ounces of love potion. Last week she created 90 ounces which is 3 times larger than 30 ounces so you have to multiply 5 by 3 to figure out the amount of Pearl Sheen she used which is 15

For stranger things they Multiplied 3 by 2 so you have to multiply 1 by 2 to get 2. Then you have to add 6 and 2 to get 8 kids.

Hope This Helps!

Answer:

15, 16, and 17.

Step-by-step explanation:

They are consecutive and they add up to 48.

Answer:

your answer would be 0.052

Answer:

3.75h + 0.5d = 25.50

Step-by-step explanation:

3.75h is $3.75 multiplied by h, the amount of hamburgers they buy. same goes for 0.5d it’s 50¢ multiplied by d, the amount of drinks they buy. then both those variables added has to equal $25.50 because that’s how much they spent total.

Answer:

114.666666667

Step-by-step explanation:

Step 1:

6/86 = 8/x        Equation

Step 2:

6x = 688        Multiply

Step 3:

x = 688 ÷ 6    Divide

Answer:

x = 114.666666667

Hope This Helps :)

Answer:-1

Step-by-step explanation:-18-6n = 6 + 18n

-6n=6

divide

n=-1

Answer:

-1

Step-by-step explanation:

First, divide by 6

-18/6- 6n/6=6/6(1+3n)

-3-n= 1+3n

Then move the variable to one side

-3-n+n= 1+3n+n

-3=1+4n

Then isolate the variable

-3-1=1-1+4n

-4=4n

Isolate more

-4/4=4n

-1=n

Answer:

A

Step-by-step explanation:

washewepshepshepshepshep

Answer:

first option

Step-by-step explanation:

Answer:

A. The total distance the car travels in miles between hours 3 and 7.

Step-by-step explanation:

I took the test!

Answer:

y = 3x - 2

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1), where (x1, y1 ) and (x2, y2) are points on the line.

Plug in the 2 points:

(y2 - y1) / (x2 - x1)

(25 - 16) / (9 - 6)

9 / 3

= 3

So, the slope is 3. Plug this and a point into y = mx + b to find b:

y = mx + b

16 = 3(6) + b

16 = 18 + b

-2 = b

Then, plug in b and the slope into the equation:

y = mx + b

y = 3x - 2 is the equation of the line

Answer

1.4 miles

Step-by-step explanation:

2.8÷2=1.4

Answer:

Step-by-step explanation:

The slope is achieved through (5-3)/((0-(-1)) which is 2. The y-intercept is just where x=0 on the equation so (0,5). 3. Put it all together in y=mx+b to get 2x+5. Hope that helps!

Answer:   c

Step-by-step explanation:

Based on the percent breakdown of 360%.

100% 100% 100% 20%20%20%

15.       15.      15.    3.     3.     3.

100% is all of it, so 15. This is x.

20% of it would be calculated as 0.2 x 15 or 3. This is y.

Answer:

c

Step-by-step explanation:

Answer: 5573

Step-by-step explanation:

Answer:

[tex]his \: reasoning \: is \: correct.[/tex]

Step-by-step explanation:

[tex]since \: the \: ratio \: of \: the \: glass \: to \:that \\ \: of \: the \: thermos \: is \: in \: the \: fraction : \\ \frac{2 7 0 mL }{1mL} \: which \: is \:270 mL : 1mL \\ then \: the \: keem \: is \: right.[/tex]

Answer:b

Step-by-step explanation:on edge2020

6 = 1/4(-8) +b

6 = -2 +b

8 = b

The equation of this line having slope 1/4 and points (-8,6) is y = (1/4)x + 8.

Slope is the rate of change.It can also be thought of as rise over run.

According to the given question slope(m) is 1/4 and point is (-8,6).

We know equation of a line in slope intercept form is y = mx + b, where b is the y intercept.

∴ 6 = (-8)1/4 + b.

  6 = - 2 + b.

  b = 8.

Now the equation of this line in slope intercept from can be written as

y = (1/4)x + 8.

learn more about equation of a line here :

https://brainly.com/question/2564656

#SPJ2

Answer:

y=5.8

x=10

Step-by-step explanation:

30\3=10

10-4.2=5.8

Answer:

x = 10 cm

y = 5.8 cm

Step-by-step explanation:

Area of a rectangle

[tex]\large\boxed{A=l\:w}[/tex]

where l is the length and w is the width.

From inspection of the given rectangle:

Substitute the given values of area, width and length into the formula and solve for x:

[tex]\begin{aligned}A&=l\:w\\\implies 30&=x \cdot 3\\3x&=30\\x&=10\end{aligned}[/tex]

Substitute the found value of x into the expression for length and solve for y:

[tex]\begin{aligned}y+4.2&=x\\y+4.2&=10\\y&=10-4.2\\\implies y&=5.8\end{aligned}[/tex]

Answer:

The 5-ounce can if divided by five to how to cost for 1-ounce would be $0.18. Then you divide the 12-ounce by 12 for 1-ounce which is $0.2. So the 5-ounce is better.

Step-by-step explanation:

Hope this helped!

Answer:

x > 5

Interval form: (5, infinity)

Step-by-step explanation:

Just add 8 to both sides of the inequality:

x > 5

Therefore, x must be greater than 5.

Answer:

ur welcome

Step-by-step explanation:

x is first so -2 and -1 and 0 and 1 and 2 all cancel each other out so no worries there then on to the other side you add it all and boom you done

Answer:

y = -2/3x + 3

Step-by-step explanation:

3y = -2x + 9

y = (-2x + 9)/3

y = -2/3x + 3

Answer:

x=16/5

Step-by-step explanation:

7-4=5x-13

3=5x-13

+13.  +13

16=5x

16/5 = x

Answer:

132.2

Step-by-step explanation:

you just add the percentage of its calories