use the rational zeros theorem to write a list of all potential rational zeros of the function f(x)=3x^2 +39x^2+39x +27

What is the y-intercept of the line with a slope of − 1/4 that passes through the point (−2, −9/2 )?

svlad2 [7]

-9/2 = -1/4(-2)+ b

-9/2 = 1/2 + b
Minus 1/2 over

B= -5

Hope this helps!

4 0

3 years ago

He makes $316 a week and $23 for every sale he makes. He has to pay his rent this week that is $500, so he will need to make at

Lyrx [107]

let x be the number of sales Hayward needs to make

316+23x > or equals to 500

23x> or equals to 184

x> or equals to 8

4 0

3 years ago

The carnival committee purchased 985 small prizes. The prizes are to be divided equally among the 20 game

lakkis [162]

Answer:

49 prizes each, with 5 left

Step-by-step explanation:

985/20 is 49 with 5 left over.

6 0

3 years ago

A can of soda in 1972 costs $0.15, by 2012 it cost $1.35 find the rate at which the cost of a can of soda increases over this ti

fenix001 [56]

Answer:

800%

Step-by-step explanation:

<h2><u>Percentage increase</u></h2><h3><u>formula:</u></h3>

change/ original * 100

change is 1.35 - 0.15 = 1.2

original is the amount in the beginning which is 0.15

= 1.2/0.15 * 100

=800 %

<em><u>the percentage increase is by 800%</u></em>

8 0

2 years ago

Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and

Brums [2.3K]

Answer:

$t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349$

$p_v =P(t_9>10.349)=1.34x10^{-6}$

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.

Step-by-step explanation:

1) Data given and notation

$\bar X=51.6$ represent the sample mean

$s=1.1$ represent the standard deviation for the sample

$n=10$ sample size

$\mu_o =48$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean score is higher than 48, the system of hypothesis would be:

Null hypothesis: $\mu \geq 48$

Alternative hypothesis: $\mu > 48$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349$

Calculate the P-value

First we find the degrees of freedom:

$df=n-1=10-1=9$

Since is a one-side upper test the p value would be:

$p_v =P(t_9>10.349)=1.34x10^{-6}$

Conclusion

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.

5 0

3 years ago