Is f(x)=x(4-x)-2 a quadratic function? Explain.

Zachary can't believe how bad London's traffic is today. In the past 10 minutes, his cab has barely moved 500 meters! He wonders

mezya [45]

Answer:

6 min

Step-by-step explanation:

5 kilometers = 5,000 meters

500/5,000 = 1/10 meaning it would take him 1/10 of an hour or 6 minutes to cover this distance.

4 0

3 years ago

Eli makes a dozen cupcakes

masha68 [24]

Answer:

5/12 I think?? Hope this helps!

7 0

3 years ago

PLEASE ITS NOT THAT HARD

nevsk [136]

Answer:

25. 0.0036 26. 1/64

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What would be the critical value for a two-tailed, one-sample t test with 26 degrees of freedom (df = 26) and an alpha level (p

Alika [10]

Answer: The critical value for a two-tailed t-test = 2.056

The critical value for a one-tailed t-test = 1.706

Step-by-step explanation:

Given : Degree of freedom : df= 26

Significance level : $\alpha=0.05$

Using student's t distribution table , the critical value for a two-tailed t-test will be :-

$t_{\alpha/2, df}=t_{0.025,26}=2.056$

The critical value for a two-tailed t-test = 2.056

Again, Using student's t distribution table , the critical value for a one-tailed t-test will be :-

$t_{\alpha, df}=t_{0.05,26}=1.706$

The critical value for a one-tailed t-test = 1.706

6 0

3 years ago

A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8

Alexeev081 [22]

Answer:

a) 25% of the students exam scores fall below 55.6.

b) The minimum score for an A is 84.68.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 61 and a standard deviation of 8.

This means that $\mu = 61, \sigma = 8$

(a) What score do 25% of the students exam scores fall below?

Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.

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

$-0.675 = \frac{X - 61}{8}$

$X - 61 = -0.675*8$

$X = 55.6$

25% of the students exam scores fall below 55.6.

(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?

This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.

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

$2.96 = \frac{X - 61}{8}$

$X - 61 = 2.96*8$

$X = 84.68$

The minimum score for an A is 84.68.

8 0

3 years ago