A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined

Answer:

True, eating cooked vegetables provides more nutrients than eating raw vegetables.

Answer:

1. false 2.true 3. true 4.true 5.true

Step-by-step explanation:

Complete Question

In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its French fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that only 3 out of 100 people can detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion), what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, at least 40 can taste the difference between the two oils? (2.5 pts.)

Answer:

The probability is  [tex]P(\^ p \ge 0.04 ) = 0.03216[/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion is  [tex]p = \frac{3}{100} = 0.03[/tex]

    The sample size is  n  = 1000

 Generally the mean of this sampling distribution is  [tex]\mu_{x} = 0.03[/tex]

Generally the standard deviation of this sapling distribution is  mathematically evaluated as  

        [tex]\sigma = \sqrt{\frac{p (1 - p)}{n} }[/tex]

=>      [tex]\sigma = \sqrt{\frac{0.03 (1 - 0.03)}{1000} }[/tex]

=>      [tex]\sigma = 0.0054[/tex]

Generally the sample proportion when the number of those that can taste the difference is 40  is mathematically represented as

      [tex]\^ p = \frac{40}{1000} = 0.04[/tex]

Generally the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, at least 40( [tex]\^ p = 0.04[/tex]) can taste the difference between the two oils is mathematically represented  as

     [tex]P(\^ p \ge 0.04 ) = 1 - P(\^ p < 0.04 )[/tex]

Here

      [tex]P(\^ p < 0.04 ) = P(\frac{ \^ p - \mu_{x}}{\sigma } < \frac{0.04 - 0.03}{0.0054} )[/tex]

[tex]\frac{\^ p -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p )[/tex]

=>   [tex]P(\^ p < 0.04 ) = P(Z < 1.85 )[/tex]

From the z table the probability of  (Z < 1.85  ) is

      [tex]P(Z < 1.85 ) = 0.96784[/tex]

So

    [tex]P(\^ p < 0.04 ) = 0.96784[/tex]

So

   [tex]P(\^ p \ge 0.04 ) = 1 - 0.96784[/tex]

=> [tex]P(\^ p \ge 0.04 ) = 0.03216[/tex]

Answer:

The city will have 201 streetlights at the end of 32 weeks

Step-by-step explanation:

Here, we want to know the number of streetlights that the city will have at the end of 32 weeks

From the question, it is expected that 2 additional streetlights will be installed at the end of each week

So the number installed at the end of 32 weeks will be 32 * 2 = 64

So the number of streetlights at the end of 32 weeks will be;

64 + 137 = 201 streetlights

Answer:

5= 2k-2

5+2= 2k

7/2 =k

. k = 3.5

Answer:

y < 3

Step-by-step explanation:

2y + 1 < 7

~Subtract 1 to both sides

2y < 6

~Divide 2 to both sides

y < 3

Best of Luck!

Question attached

Answer and explanation:

Here we would use the two sample t test. In finding the hypotheses for a two sample t test we test the sample mean of one group against the other group to determine if there is a statistical difference or they are equal. We have this to compare the mean finger tapping rate of the two groups being tested in the question. Our null and alternative hypotheses here are:

H0: u1 = u2 null hypothesis

H1: u1 > u2 alternative hypothesis

Where u1 and u2 are the sample means for each group in the caffeine experiment

Answer:

i cant hjelp sorry but can u heart

Step-by-step explanation:

so i can get points

Answer:

B.

Explanation:

If you divide 680 by 8 you can get 80 miles/hour

Hope this helps ;)

Answer:

Answer : C

Step-by-step explanation:  If u divide 680 by 8 you will get 85 miles per hour if u don't believe me look it up

hope it help :)

Answer:

The answer is 6/5 ^.^

Step-by-step explanation:

I got it right =^.^=

Hope this helps you =^.^=

Answer:

4/3

Step-by-step explanation

When dividing fractions you flip the secod fraction then multipy.

Hope this helps :)

Answer:

x i a 90 degree anglt

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Sum of all angles = 360°

85° + x + 35° + 2x = 360°

3x + 120° = 360°

3x = 360° - 120°

3x = 240°

x = 80°

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The correct answer is (( D )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Look :

[tex]7 + 2 = 9[/tex]

[tex]7 - 2 = 5[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

4021/68 = 59.13

Step-by-step explanation:

Hope this helps you out!!!

Answer: 59.1323529412

Step-by-step explanation:

Answer: A. Quadrant 1

Step-by-step explanation: Quadrant 1 is for if both x and y values are positive.

Answer:

B quadrant 2

Step-by-step explanation:

Not sure though

Answer:

50km 2hours

100km 4hours

150km 6hours

200km 8hours

Answer:

The vertex would be at (5,-2).

Answer:

22 to 2, 33 to 3, 44 to 4

Step-by-step explanation:

Answer:

38 cubes

Step-by-step explanation:

The volume is calculated by multiplying the length x width x height. So the volume of this box is 30 cm3.

Assuming the cube is 1 x 1 x 1 (volume= 1cm3), then 30 cubes would be able to fit into the box. (30/1 = 30)

However, if the cube is 2x2x2, it would be able to fit 8 cubes.

Answer:

there is no slope

Step-by-step explanation:

there is no graph or points sooooooo

Answer:

+ and -

Step-by-step explanation:

+ positive

- negative

Answer:

4,-4

Step-by-step explanation:

cuz

Answer:

C. least common multiple

Answer:

Area of another sector=[tex]53.0292 in^2[/tex]

Perimeter of another sector=29.36 in

Step-by-step explanation:

We are given that

Radius, r=8.26 in

Arc length , l=12.84 in

Area of circular sector=[tex]\frac{arc\;length} {Circumference\;of\;circle}\times \pi r^2[/tex]

Area of circular sector=[tex]\frac{l}{2\pi r}\times \pi r^2=\frac{l}{2}\times r[/tex]

Where Circumference of circle=[tex]2\pi r[/tex]

Substitute the values

Area of circular sector=[tex]\frac{12.84}{2}\times (8.26}[/tex]

Area of circular sector=[tex]53.0292 in^2[/tex]

Area of another sector=[tex]53.0292 in^2[/tex]

Perimeter of circular sector=8.26+8.26+12.84

Perimeter of circular sector=29.36 in

Perimeter of another sector=29.36 in

As the radius of a sector decreases, the arc length increases to have an

equal area with a sector with a radius that is longer.

The measurements of another sector with the same perimeter and area are;

Reasons:

Radius of the sector, r = 8.26 inches

Arc length of the sector = 12.84 inches

Perimeter of sector = 2·r + Arc length

Perimeter of the given sector = 2 × 8.26 inch + 12.84 inch = 29.36 inch

Circumference of the circle = 2 × 8.26 × π = 16.52·π

Area of the given circle, A = π × 8.26² = 68.2276·π

Area of the sector, A = 53.0292 inch²

Therefore, we have;

2·R + A = 29.36 inches

[tex]\displaystyle \mathbf{\frac{A}{2\cdot \pi \cdot R} \times \pi \cdot R^2} = 53.0292[/tex]

A·R = 53.0292 × 2

[tex]\displaystyle New \ arc \ length, \ A = \mathbf{\frac{53.0292 \times 2}{R}}[/tex]

Which gives;

[tex]\displaystyle 2 \cdot R + \frac{53.0292 \times 2}{R} = 29.36[/tex]

[tex]\displaystyle R + \frac{53.0292 }{R} = 14.68[/tex]

R² + 53.0292 = 14.68·R

R² - 14.68·R + 53.0292 = 0

Factorizing with a graphing calculator, gives;

(R - 6.42)·(R - 8.26) = 0

R = 6.42 or R = 8.26

The measurement of R = 8.26 is for the first sector

Given that the sectors are different, we have;

The arc length, A = 29.36 - 2·R

∴ A = 29.36 - 2 × 6.42 = 16.52

Learn more about the sector of a circle here:

https://brainly.com/question/2501134

Answer:

D) X=4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

[tex]13x - 5x = 8x[/tex]

[tex]8x = 32[/tex]

[tex]x = 32 \div 8[/tex]

[tex]x = 4[/tex]

Answer:

11 inches

Step-by-step explanation:

2 yards = 72 in

72 in - 61 = 11 in

Answer:

private part

Step-by-step explanation: