Use the information provided to write the vertex form equation of each parabola.

Simora [160]

Step-by-step explanation:

try to impose the process of elimination and see if that helps

3 0

3 years ago

An instructor made a frequency table of the scores his students got on a test score frequency 30-under 40 1 40-under 50 4 50-und

RideAnS [48]

First, you add up the total number of students because we would base our percentage one this.

Total number of students = 1+4+5+10+20+10+5
Total number of students = 55

Now, let's count how many of them got a score of more than 70. For this, you would only count the students belonging to 70-under 80, 80-under 90 and 90-under 100.

Students who got more than 70 = 20+ 10 + 5 = 35

Therefore the percentage is equal to:
Percentage = 35/55 * 100 = 63.64%

4 0

3 years ago

Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phon

leva [86]

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = proportion of households that have three cell phones NOT known.

So, Null Hypothesis, $H_0$ : p = 30% {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, $H_A$ : p $\neq$ 30% {means that the actual percentage of households different from 30%}

The test statistics that would be used here One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of households having three cell phones = $\frac{43}{150}$ = 0.29

n = sample of households = 150

So, the test statistics = $\frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }$

= -0.27

The value of z test statistic is -0.27.

Also, P-value of the test statistics is given by;

P-value = P(Z < -0.27) = 1 - P(Z $\leq$ 0.27)

= 1 - 0.6064 = 0.3936

Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the actual percentage of households is equal to 30%.

4 0

3 years ago

A triangle has side lengths of 12 cm and 35 cm and 37 cm. Classify it as acute, obtuse or right

Lapatulllka [165]

This triangle would be acute none of the angles are greater than or equal to 90.

4 0

3 years ago

Read 2 more answers

You are asked to help out in the merchandise department. You sell $750 worth of $30 math teaching kits. How many kits did you se

Alex Ar [27]

$750 / $30 = 25 maths teaching kids

$350 / $25 = 14 maths starter kits
if you wanted to see if it was right, you would just do 14*25 and you would get $350

hope I helped!!

7 0

3 years ago