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3 years ago

Jenna read 25 pages of a book in 30 minutes at the same rate how many pages can she read in 3 hours

1 answer:

8 0

• Convert 3 hours into minutes: 3 x 60(minutes in an hour) = 180 minutes
• Divide to see how many times 30 minutes goes into 180: 180 ÷ 30 = 6
• Multiply: 25 x 6 = 150

So, Jenna can read 150 pages of a book in 3 hours. Hope this helps! :D

~PutarPotato

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The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 9 in. and 12 in. long. What's the length

kow [346]

The length of he altitude to the hypotenuse is the square root of 108

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3 years ago

The proportion of left handed people in the population is about 0.10. Suppose a random sample of 300 people is observed. (a) Wha

pantera1 [17]

Answer: $(\hat{p})\sim N(0.10,\ 0.017)$

Step-by-step explanation:

Sampling distribution of the sample proportion $(\hat{p})$ :

$(\hat{p})\sim N(p,\ \sqrt{\dfrac{p(1-p)}{n}})$

The sampling distribution of the sample proportion $(\hat{p})$ has mean = $\mu_{\hat{p}}=p$ and standard deviation = $\sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}$ .

Given : The proportion of left handed people in the population is about 0.10.

i.e. p=0.10

sample size : n= 300

Then , the sampling distribution of the sample proportion $(\hat{p})$ will be :-

$(\hat{p})\sim N(0.10,\ \sqrt{\dfrac{0.10(1-0.10)}{300}})$

$(\hat{p})\sim N(0.10,\ \sqrt{0.0003})$

$(\hat{p})\sim N(0.10,\ 0.017)$ (approx)

Hence, the sampling distribution of the sample proportion $(\hat{p})$ is $(\hat{p})\sim N(0.10,\ 0.017)$

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3 years ago

HELP PLZZ ASAP !! a. The value of x is 6 , what is the value of y?

erastovalidia [21]

Answer:

a). y = 4.5

b) Scale factor = $\frac{3}{4}$

Step-by-step explanation:

a). Since, polygon Q is the scaled copy of polygon P

Both the figures will be similar.

Therefore, their corresponding sides will be proportional.

$\frac{x}{y} =\frac{4}{3}$

If x = 6,

$\frac{6}{y} =\frac{4}{3}$

y = $\frac{3\times 6}{4}$

y = 4.5

b). Since, polygon Q is the scaled copy of polygon P,

Polygon Q will be the image of preimage polygon P.

Scale factor = $\frac{\text{Length of a side of the image}}{\text{Length of a side of the preimage}}$

= $\frac{3}{4}$

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3 years ago

Describe a situation when you might not want to clear fractions in an equation.

Studentka2010 [4]

Well, to get rid of them, you would have to add or subtract that fraction to both sides of the equation (making them still equal to each other), so it would just get too complicated to completely get rid of a fraction. That is, if you don't need to.

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3 years ago

3 The The curve y=ax² +bac + 5 where a and b are constants has a turning point p (1,3). find the values of a and b and determine

yulyashka [42]

Answer:

a = 2, b = -2

P is at a minimum

Step-by-step explanation:

For any polynomial function, the turning point is either a maximum or a minimum

It can be determined by taking the first derivative of the function and setting it equal to 0 and solving for x and y

In this case we are given the turning point as x=1, y = 3 and we have to calculate a and b in the equation y = ax² + (ab)x + 5

The first derivative of y, y' = 2ax + ab

If we set this equal to 0 we get 2ax + ab = 0 ==> 2ax = -ab ==> b = -2

So the equation is of the form y = ax² -2ax + 5 (subbing for b)

Since we know that at x = 1, y =3 substitute y and x values in the above equation and solve for a

y = 3 = a(1²) - 2a(1) + 5

a - 2a + 5 = 3

-a + 5 = 3

a = 2

So the equation is of the form y = 2x² -4x + 5

If we plot this we will find that P is a minimum point

However, we can always determine mathematically if P is a max or min by taking the second derivative of the original function and noting the sign. If it is positive, the point is a minimum, and if it is negative, the point is a maximum.

Taking derivatives,

y' = 4x - 4

y'' = (4x-4)' = 4

The sign is positive so P is a minimum

Graph attached for reference

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1 year ago