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2 years ago

Which of the following is a coefficient in the algebra expression 12p^5+r-16?

Mathematics

1 answer:

Andru [333]2 years ago

8 0

Answer:

12 (or A)

Step-by-step explanation:

A coefficient is the number before a variable.

Examples: 5r , 34y, 10x^2 (the coefficients are 5, 34, and 10)

12 has a variable after it, so 12 is a coefficient.

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Sami opens an account with a principal balance of $3,200. The

alina1380 [7]

Answer:

$835.71

Step-by-step explanation:

To solve this problem, we will use the compound interest formula:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, lets change 4.75% into a decimal:

4.75% -> $\frac{4.75}{100}$ -> 0.0475

Now, plug the values into the equation:

$A=3,200(1+\frac{0.0475}{1})^{1(5)}$

$A=4,035.71$

Lastly, subtract A from the principal:

$4,035.71 - 3,200 = 835.71$

The interest earned is $835.71

5 0

3 years ago

Each person plans to take 2 slices of pizza.mark concludes that he would get more pizza by taking 1 slice from each pizza.instea

aalyn [17]

Answer:

No if you only get two slices, it doesn't matter which pizza you take it from you still only get 2 slices.

Step-by-step explanation:

8 0

3 years ago

You have fifteen blankets that each take up 557 cubic inches of space. How many blankets could you pack into a 14-inch moving bo

algol13

Answer:

b i think please tell me if im wroung

6 0

3 years ago

Can u guys pls help me on this question and pls explain how u got the answer

lora16 [44]

Answer:

17.4 cm²

Step-by-step explanation:

base = 3x2.6x0.5 = 3.9 cm²

3 sides = 3(3)(3)(0.5) = 13.5 cm²

13.5 + 3.9 = 17.4 cm²

7 0

3 years ago

In a random sample of males, it was found that 28 write with their left hands and 210 do not. In a random sample of females, it

Drupady [299]

Answer:

a) Null hypothesis: $p_{M} \geq p_{W}$

Alternative hypothesis: $p_{M} < p_{W}$

b) $z=\frac{0.118-0.125}{\sqrt{0.122(1-0.122)(\frac{1}{238}+\frac{1}{497})}}=-0.271$

c) $p_v =P(Z$

d) If we compare the p value and 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 the the proportion of men that write with their left hand is NOT significant lower than the proportion of female that write with their left hand

Step-by-step explanation:

1) Data given and notation

$X_{M}=28$ represent the number of men that write with their left hand

$X_{W}=62$ represent the number of women that write with their left hand

$n_{M}=210+28=238$ sample of male selected

$n_{W}=62+435=497$ sample of female selected

$p_{M}=\frac{28}{238}=0.118$ represent the proportion of men that write with their left hand

$p_{W}=\frac{62}{497}=0.125$ represent the proportion of women that write with their left hand

$\alpha=0.05$ represent the significance level

z would represent the statistic (variable of interest)

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

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the rate of left-handedness among males is less than that among females , the system of hypothesis would be:

Null hypothesis: $p_{M} \geq p_{W}$

Alternative hypothesis: $p_{M} < p_{W}$

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

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

Where $\hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{28+62}{238+497}=0.122$

3) Calculate the statistic

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

$z=\frac{0.118-0.125}{\sqrt{0.122(1-0.122)(\frac{1}{238}+\frac{1}{497})}}=-0.271$

4) Statistical decision

We have a significance level provided $\alpha=0.05$ , and now we can calculate the p value for this test.

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

$p_v =P(Z$

If we compare the p value and the significance level given $\alpha=0.05, 0,1,0.15$ 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 the the proportion of men that write with their left hand is NOT significant loer than the proportion of female that write with their left hand .

6 0

2 years ago