A nutritionist suspected that her company's clients had below average cholesterol. They obtained a random sample of 8 clients of the same age and gender. These clients had a mean cholesterol level of xˉ=4.28 mmol/L (millimoles per liter).
To see how likely a sample like this was to happen by random chance alone, the nutritionist performed a simulation. They simulated 60 samples of n=8 cholesterol levels from a normal population with a mean of 4.6 mmol/L and a standard deviation of 0.5 mmol/L (these are generally accepted values for people with the same age and gender of those in the sample). They recorded the mean of the cholesterol levels in each sample. Here are the sample means from their 60 samples:

They want to test H0:μ=4.6 mmol/L vs. Ha:μ<4.6 mmol/L where μ is the mean cholesterol level for all clients like those sampled.

Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was xˉ=4.28 mmol/L.

Answer:

$1.33

Step-by-step explanation:

multiply 6 by 1.54 to see how much he spent on sausage rolls

subtract that from the total ($22.54)

divide by 10 to see how much each pepperoni roll costs

Answer:

$1.33

Step-by-step explanation:

1.54x6=9.24

22.54-9.24=13.30

13.30/10=1.33

Answer: [tex]-\frac{5}{12}[/tex]

Steps:

[tex]1\frac{1}{4}\times \left(-1\right)\frac{1}{3}[/tex]

Convert mixed numbers to improper fractions: [tex]1\frac{1}{4}[/tex][tex]=\frac{5}{4}[/tex]

[tex]=\frac{5}{4}\times \left(-1\right)\frac{1}{3}[/tex]

[tex]\mathrm{Apply\:the\:rule}:\quad \:a\left(-b\right)=-ab[/tex]

[tex]\frac{5}{4}\left(-1\right)=-\frac{5}{4}\times \:1[/tex]

[tex]=-\frac{5}{4}\times \:1\times \frac{1}{3}[/tex]

[tex]\mathrm{Apply\:rule}\:a\times 1=a[/tex]

[tex]=-\frac{5}{4}\times \frac{1}{3}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]\frac{5}{4}\times \frac{1}{3}=\frac{5\times \:1}{4\times \:3}[/tex]

[tex]=-\frac{5\times \:1}{4\times \:3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:5\times \:1=5[/tex]

[tex]=-\frac{5}{4\times \:3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\times \:3=12[/tex]

[tex]=-\frac{5}{12}[/tex]

Hope This Helps!

Answer:

18 m^2

Step-by-step explanation:

Answer:

x = 11.74739484

Step-by-step explanation:

To solve this problem, you can use trig functions. We are given an angle and the side next to it, and we are looking for the side opposite it. The perfect trig function to use for this would be tangent:

tan(θ) = opposite / adjacent

We can substitute the values we already have:

tan(40) = x / 14

x = 14 * tan(40)

We can evaluate this using a calculator and get:

x = 11.74739484

Answer:

s

Step-by-step explanation:

Answer:

(1 , –1)

Step-by-step explanation:

bro, you can see it if you draw on graph paper, or you just need to use your imagination more

Answer:

1,-1

Step-by-step explanation:

Answer:

⏩62°

Step-by-step explanation:

x + 118°= 180° { Being co-interior angles }

x = 180° - 118°

x = 62°

Hope it will help :)❤

Answer:

RS/XY = ST/YZ

Step-by-step explanation:

They need to follow the same direction and same length in comparision to the rest. From what I can see, that seems to be the one that does that best.

Answer:

144°

Step-by-step explanation:

First, find the area of the circle, with the formula A = [tex]\pi[/tex]r²

Plug in 10 as the radius, and solve

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex](10²)

A = 100[tex]\pi[/tex]

Using this, create a proportion that relates the area of the sector to the degree measure of the arc.

Let x represent the degree measure of the arc of the sector:

[tex]\frac{40\pi }{100\pi }[/tex] = [tex]\frac{x}{360}[/tex]

Cross multiply and solve for x:

100[tex]\pi[/tex]x = 14400[tex]\pi[/tex]

x = 144

So, the degree measure of the sector arc is 144°

Answer:

We know that

Area = πr²

Area = 3.14 × (10)²

Area = 314/100 × 100

Area = 314 cm²

Now

40π/314 = x/360

40 × 3.14/314 = x/360

125.6/314 = x/360

0.4 = x/360

0.4 × 360 = x

144 = x

[tex] \\ [/tex]

Answer:

y = .01x * 2^x

y = 50000x

Hope that this helps!

Answer:

the hypotenuse is 10

Step-by-step explanation:

6^2 + 8^2 = 100

square root 100 and its 10

Answer:

X=86/17

Step-by-step explanation:

Answer:

x=46/17

Step-by-step explanation:

Let's solve your equation step-by-step.

3/ 4 (x−2)+ 1/ 3 (2x+5)=4

Step 1: Simplify both sides of the equation.

3/ 4 (x−2)+ 1/ 3 (2x+5)=4

( 3/ 4 )(x)+( 3/ 4 )(−2)+( 1/ 3 )(2x)+( 1/ 3 )(5)=4 (Distribute)

3/ 4x+ −3/ 2 + 2/ 3 x+ 5/ 3 =4

( 3/ 4 x+ 2/ 3 x)+( −3/ 2 + 5/ 3 )=4 (Combine Like Terms)

17/ 12 x+ 1/ 6 =4

17/ 12 x+ 1/ 6 =4

Step 2: Subtract 1/6 from both sides.

17/ 12 x+ 1/ 6 − 1/ 6 =4− 1/ 6

17/ 12 x= 23/ 6

Step 3: Multiply both sides by 12/17.

( 12/ 17 )*( 17/ 12 x)=( 12/ 17 )*( 23/ 6 )

x= 46/ 17

1. The Agent Earned $6,303  

First, the real estate agency will earned 5.5%

5.5/100 * $382,000 = $21,010

Then, the agent earns 30% of $21,010

30/100 * $21,010 = $6,303

2. Basically, we're setting up an equation where Option A and Option B are the same amount.

For option A, you are making 23 dollars each hours, for 40 hours. (40*23)

For option B, you are making 4% of your sales. We're looking for how much she sells, so we can write that as x. (.04x)

Set the 2 options as equal and solve for x.   so x is  920(.04x

sorry if wrong it was really hard

3. If 90% are women, 10% are men.

If x is the total amount of people.

.1x = 320

Solve x from here.

FIANNLY IM DONE

Answer:Step-by-step explanation:

Answer:

(a)3-2=1 (b) 4-3=1 (c) 12-1-1=10

Answer:

The answer is 0.390625

Answer:

the slope is undefined

Step-by-step explanation:

Since x=5, the graph is a straight vertical line when x=5. Since the line is vertical and not horizontal, the slope is undefined. If the line was horizontal then the slope would equal zero.

Answer:

Angle BAF and angle BAC is incorrect.

They overlap: adjacent angles do not overlap.

Answer: Choice B

angle BAF and angle BAC are adjacent

=============================================================

Explanation:

Let's go through each of the answer choices.

12 ft

Step-by-step explanation:

6 ft+3 ft+3 ft=12 ft

Answer:

12x - 24y + 15

Step-by-step explanation:

The distributive property multiplies all of the terms by 3.

So:

3(4x) + 3(-8y) + 3(5) =

12x + (-24y) + 15 =

12x - 24y + 15

Answer:

8,06

Step-by-step explanation:

c = Va^2+b^2 = V4*4+7*7 = v65 = 8,06

Answer:

D.)

Step-by-step explanation:

(3x4)/2 = 6

(3x4)/2 = 6

5x11= 55

4x11= 44

3x11= 33

= 146

Answer:

y = - [tex]\frac{1}{4}[/tex] (x - 1)²(x + 2)(x + 6)

Step-by-step explanation:

The roots from the graph are

x = - 6 , then factor is (x + 6)

x = - 2 , then factor is (x + 2)

x = 1 ( multiplicity 2 ) , then factor is (x - 1)² then

y = a(x - 1)²(x + 2)(x + 6) ← a is a multiplier

To find a substitute any point on the graph into the equation

Using (0, - 3 ), then

- 3 = a(- 1)²(2)(6) = 12a ( divide both sides by 12 )

- [tex]\frac{1}{4}[/tex] = a

Then

y = - [tex]\frac{1}{4}[/tex] (x - 1)²(x + 2)(x + 6)

Answer:

get brainly pictures in the appp store it should help you

Step-by-step explanation:

Answer:

Table B

Step-by-step explanation:

9514 1404 393

Answer:

  D, B

Step-by-step explanation:

Price per pound is found by dividing dollars by pounds.

  Store A: $9/(3 lb) = $3.00 /lb

  Store B: $9.75/(3 lb) = $3.25 /lb

  Store C: $12.40/(4 lb) = $3.10 /lb

  Store D: $14.50/(5 lb) = $2.90 /lb

Part A: The lowest price per pound is $2.90 per pound at store D.

Part B: The highest price per pound is $3.25 per pound at store B.

Answer:

a)  E   x + y > 5

b)  A   y ≤ x + 2

c)  D    y ≥ 4