A car travels 552.5 miles in 8.5 hours. An equation that represents the distance,d, a car travels in h hours is h = 65d

What is the vertex if the function f(x)=-x^2-2x-1

Mila [183]

Vertex=(-1,0)

x^2-2x-1

y=− ( x + 1 )^2 + 0

Use the vertex form, y=a(x−h)^2+k, to determine the values of a, h, and k.

Find the vertex (h,k) = (-1,0)

7 0

3 years ago

jaden made a pot of chili with 48 ounces of ground beef and 2 tablespoons of chili powder.he made another pot of chili with the

dexar [7]

Answer:

1/2 pound.

Step-by-step explanation:

Conversions: 48 oz = 3 lb

The ratio in the new pot is 3*2 tbs : 3 pounds , or just 6:3, which simplifies to 2:1. This means for every two tbs of powder, 1 lb of beef is used. This means that for every one tbs, 1/2 lb of beef is used.

8 0

3 years ago

Read 2 more answers

In a basketball game 15 of 20 foul shots that Michelle attempted were successful. What percent of her shots were not successful?

mestny [16]

Work 1:
Successful Percent:
15 divided by 20 equals .75
.75 times 100 is equal to 75
75%
Not successful Percent:
100% minus 75% equals 25%
25%
Work 2:
20 minus 15 equals 5
5 divided by 20 is equal to .25
.25 times 100 is equal to 25
25%

7 0

3 years ago

The price of a cup of coffee has risen to $2.40 today. Yesterday's price was $2.15. Find the percentage increase. Round your ans

grigory [225]

Answer:

11.6%

Step-by-step explanation:

(new - old)/(old) = 25/215 = .116 = 11.6%

7 0

3 years ago

Consider the probability that greater than 94 out of 153 people will not get the flu this winter. Assume the probability that a

Hatshy [7]

Answer:

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$p = 0.65, n = 153$ . So

$\mu = E(X) = 153*0.65 = 99.45$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.65*0.35} = 5.9$

Consider the probability that greater than 94 out of 153 people will not get the flu this winter

This probability is 1 subtracted by the pvalue of Z when X = 94. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{94 - 99.45}{5.9}$

$Z = -0.92$

$Z = -0.92$ has a pvalue of 0.1788

1 - 0.1788 = 0.8212

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

7 0

3 years ago

A car travels 552.5 miles in 8.5 hours. An equation that represents the distance,d, a car travels in h hours is h = 65d​

A car travels 552.5 miles in 8.5 hours. An equation that represents the distance,d, a car travels in h hours is h = 65d