6= -3 + r<br><br> solve for r

A store sells four-packs of permanent markers in assorted colors for $3.19 per pack. All spiral-bound notebooks, whether wide-ru

diamong [38]

Answer:

D. 1.06(3.19x + 1.20y + 1.20z)

Step-by-step explanation:

Since marker packs are 3.19 each, the cost of the marker packs she buys can be represented by 3.19x.

All spiral notebooks are 1.20 each, so the cost of the wide ruled notebooks can be represented by 1.20y.

The cost of the college ruled notebooks can be represented by 1.20z.

In the expression, all of these terms have to be added together and multiplied by 1.06 to calculate the sales tax.

So, the expression will be 1.06(3.19x + 1.20y + 1.20z)

D is the correct answer

5 0

3 years ago

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In a city known for many tech start-ups, 311 of 800 randomly selected college graduates with outstanding student loans currently

Allushta [10]

Answer:

Null hypothesis: $p_{1} - p_{2}=0$

Alternative hypothesis: $p_{1} - p_{2} \neq 0$

$z=\frac{0.389-0.418}{\sqrt{0.403(1-0.403)(\frac{1}{800}+\frac{1}{800})}}=-1.182$

$p_v =2*P(Z$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that we don't have significant difference between the two proportions.

Step-by-step explanation:

1) Data given and notation

$X_{1}=311$ represent the number college graduates with outstanding student loans currently owe more than $50,000 (tech start-ups)

$X_{2}=334$ represent the number college graduates with outstanding student loans currently owe more than $50,000 ( biotech firms)

$n_{1}=800$ sample 1

$n_{2}=800$ sample 2

$p_{1}=\frac{311}{800}=0.389$ represent the proportion of college graduates with outstanding student loans currently owe more than $50,000 (tech start-ups)

$p_{2}=\frac{334}{800}=0.418$ represent the proportion of college graduates with outstanding student loans currently owe more than $50,000 ( biotech firms)

z would represent the statistic (variable of interest)

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

$\alpha=0.05$ significance level given

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference in the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} - p_{2}=0$

Alternative hypothesis: $p_{1} - p_{2} \neq 0$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{311+334}{800+800}=0.403$

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.389-0.418}{\sqrt{0.403(1-0.403)(\frac{1}{800}+\frac{1}{800})}}=-1.182$

4) Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that we don't have significant difference between the two proportions.

6 0

3 years ago

HELP!!!!!!!!!!!!GIVING BRAINLIEST!!!!!!!!!!!!!!!

notsponge [240]

Answer:

# of terms: 2

inConstant(s): might be wrong but i think its 5

Coefficient(s): might be y itself but i dont know

Highest degree: 5

I did what I could but this number is not factorable with rational numbers

8 0

3 years ago

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Find the missing angle according to the Triangle Sum Theorem.

damaskus [11]

Answer:

35

Step-by-step explanation:

4 0

3 years ago

I'm In need Of help guys on math this assignment is due at 1:45 i'm stuck on these couples of questions I'm willing to send $3 p

kati45 [8]

What is it if i know i will hell

4 0

4 years ago

6= -3 + r solve for r