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KATRIN_1 [288]
3 years ago
5

In response to concerns about nutritional contents of fast foods, McDonald’s has announced that it will use a new cooking oil fo

r its french fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that 97 out of 100 people cannot 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 (a) At least 40 can taste the difference between the two oils? (b) At most 5% can taste the difference between the two oils?

Mathematics
1 answer:
Leto [7]3 years ago
8 0

The answer & explanation for this question is given in the attachment below.

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55 employees increased by 20 percent<br>please help!​
Rama09 [41]

Answer:

I believe its 66

Step-by-step explanation:

55×20%=11

55+11=66

4 0
3 years ago
Read 2 more answers
Luke lives 0.6 kilometers from the skating rink. Mark lives 0.45 kilometers from the skating rink. Who lives closer to the skati
raketka [301]
Mark because if you look at 0.(6) it is bigger than 0.(4)5
8 0
3 years ago
Jessica had m beads. She used 18 of them to make a necklace for her mom. Then she used the rest to make k bracelets for her frie
Y_Kistochka [10]
The expression to represent this would be (m-18)/k.

We first subtract the 18 beads she used in her mother's bracelet from her beginning number, m.  We then divide our result by k, the number of bracelets she made for her friends.
3 0
4 years ago
Find the height of a cone when its diameter is 8 inches and the volume is 100 cubic inches
Aloiza [94]

Answer:

\frac{75}{4\pi } inches or approximately 5.97 inches  

Step-by-step explanation:

Use the cone volume formula: V = \pir²\frac{h}{3}

The diameter is 8 inches, so the radius will be 4 inches.

Plug in the radius and volume, and solve for h

V = \pir²\frac{h}{3}

100 = \pi(4²)(\frac{h}{3})

100 = 16\pi\frac{h}{3}

Divide each side by 16\pi

\frac{25}{4\pi } = \frac{h}{3}

Cross multiply and solve for h:

4\pih = 75

h = \frac{75}{4\pi }

So, the cone's height is \frac{75}{4\pi } or approximately 5.97 inches  

7 0
3 years ago
A model rocket is launched directly upward at a speed of 50 meters per second from a height of 8 meters. The function f(t)=−4.9t
Gnoma [55]

Answer:

t=\frac{-50 -\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= 10.36

t=\frac{-50 +\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= -0.158

And since the time can't be negative we have that:

t= 10.36 seconds

So the answer for this case would be after 10.36 seconds the rocket will hit the ground

Step-by-step explanation:

For this case we have the function of the height in terms of the time givenby:

h(t) = -4.9t^2 +50 t+8

And we want to known when the rockect hit the ground and for this case we need to solve the equation h=0

-4.9t^2 +50 t+8 =0

And as we can see we have a quadratic equation like this one:

ax^2 +bx+c

Where: a =-4.9 , b =50 c =8

And the general solutions are given by:

x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}

If we replace the values that we have we got:

t=\frac{-50 -\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= 10.36

t=\frac{-50 +\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= -0.158

And since the time can't be negative we have that:

t= 10.36 seconds

So the answer for this case would be after 10.36 seconds the rocket will hit the ground

6 0
4 years ago
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