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Anastaziya [24]
4 years ago
7

Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of

saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results: Exam Image Exam Image We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? (assume the population data is normally distributed)
Mathematics
1 answer:
quester [9]4 years ago
5 0

Answer:

t = 34.548

Step-by-step explanation:

Here  X₁ = Solid values / n

              = 26.3 +25.3+26.1+25.6+26.7+25.9/6

             =155.9 / 6

             =25.984

X₂ = Liquid values/n

    = 16.9 +16.6+16.5+17.4+17.4+17.2 / 6

    =102/6 = 17

Formula for the sample standard deviation is

s = \sqrt {Σ(x - mean )^2/n-1}

we get

s₁ = 0.49967

s₂ = 0.3949

Construction of hypothesis

H₀ :μ₁ = μ₂

H₁ : μ₁ ≠ μ₂

Apply test statistic formula we get the value

t = X_{1}  - X_{2}  /\sqrt{S_{1}^2 /n + S_{2}^2 /n }

putting all these values

t = 25.984 - 17 / √ (o.49967)²/6 + (0.39497)²/6

t = 34.548

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Calculate the slope of a line that passes through the points (3, -20) and (5, 8).
shtirl [24]

Answer:

14

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(8 + 20) / (5 - 3)

28 / 2

= 14

So, the slope is 14.

5 0
3 years ago
Read 2 more answers
What is the area of the logo?​
Ludmilka [50]

Answer:

the \: area \: of \: the \: logo \: is \:  {91cm}^{2}

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

a =  {a}^{2}

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

asquare =  {7}^{2}  \\ asquare =  {49cm}^{2}

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

a =  \frac{b.h}{2}  \\  a =  \frac{7.4}{2}  \\ a =  \frac{28}{2}  \\ a =  {14cm}^{2}

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

atriangles = 3a \\ atriangles =  {42cm}^{2}

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo =  {91cm}^{2}

4 0
3 years ago
Read 2 more answers
5. It is known that AABC = ADEF. If AB = 5, BC = 10, AC = 8, and DF = 2x-6, then solve for the value of
lorasvet [3.4K]

Answer:

The value of x is 7

Step-by-step explanation:

we know that

If two figures are congruent, then the corresponding angles and the corresponding sides are equal

In this problem

Triangles ABC and DEF are congruent

ABC≅DEF

therefore

AB=DE ----> equation A

AC=DF ----> equation B

BC=EF ----> equation C

Substitute the given values in the equation B

8=2x-6

Solve for x

2x=8+6

2x=14

x=7

therefore

The value of x is 7

The draw in the attached figure

3 0
3 years ago
What is the answer tho w <br> Simplify <br><br> 16=5w-w
Orlov [11]

Answer:

4

Step-by-step explanation:

16 = 5 * 4 - 4

5 times 4 = 20 minus 4 = 16

4 0
3 years ago
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Write 3 2/5 as an improper fraction.
Vlada [557]

Answer:

17/5

Step-by-step explanation:

3 x 5

15+2

17/5

4 0
3 years ago
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