Divide.<br>(2x²+17x+28)÷(x+6)<br>

A quadrilateral has no pairs of parallel sides, what two shapes could it be?

marin [14]

Answer:

Kite

Step-by-step explanation:

Def of kite has no parallel sides

3 0

3 years ago

Read 2 more answers

In a survey, 32% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result

adoni [48]

Answer:

$z=\frac{0.29 -0.32}{\sqrt{\frac{0.32(1-0.32)}{210}}}=-0.932$

$p_v =P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of pet owners contacted by telephone is NOT significantly lower than 0.32

Step-by-step explanation:

Data given and notation

n=210 represent the random sample taken

X=61 represent the number of pet owners contacted by telephone

$\hat p=\frac{61}{210}=0.29$ estimated proportion of pet owners contacted by telephone

$p_o=0.32$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportions is lower than 0.32.:

Null hypothesis: $p \geq 0.32$

Alternative hypothesis: $p < 0.32$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.29 -0.32}{\sqrt{\frac{0.32(1-0.32)}{210}}}=-0.932$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of pet owners contacted by telephone is NOT significantly lower than 0.32

3 0

3 years ago

3/8 + 1 3/8 please help

wolverine [178]

Since they have a common denominator you can add them together

1 3/8 + 3/8 = 1 6/8

Reduced, the answer is 1 3/4

I hope that helps!

5 0

3 years ago

Isabella invested $1300 in an account that pays 4.5% compounded annually. Assuming no deposits or withdrawals are made , find ho

Anastaziya [24]

Answer:

$2,407.5

Step-by-step explanation:

To solve this question, we will use the formula for calculating the amount formula as shown;

A =P(1+r)^n

Given that;

P = #$1300

r = 4.5% = 0.045

t = 14years

Substitute

A = 1300(1+0.045)^14

A = 1300(1.045)^14

A = 1300(1.8519)

A = 2,407.5

Hence Isabella would have $2,407.5 in her account after 14years

5 0

3 years ago

Cost $0.65 per pound. Sasha bought 4 pounds of bananas. How much did

Rudiy27

Answer: $2.60

Step-by-step explanation: Since each pound of bananas are $0.65 and she bought 4 pounds it would be $0.65 x 4. :)

7 0

3 years ago

Read 2 more answers

Divide.(2x²+17x+28)÷(x+6)​

Divide.(2x²+17x+28)÷(x+6)