Explain how to write 50,000 in exponent form

Which expression is the same as (2a + b)3?

user100 [1]

Answer:

I guess it's A

Step-by-step explanation:

2*2*2+b*b*b

that's 8a³+b³

8 0

3 years ago

A car park has 20 vehicles 12 of them are cars.what fraction of the vehicles are cars?

svetlana [45]

3/5 of the vehicles are cars.
hope this helped.

3 0

3 years ago

MZTRI = 3x - 5, mZIRB = x + 27,<br> and mZTRB = 86. Find the mZTRI.

denis23 [38]

Answer:

m∠TRI = 43

Step-by-step explanation:

m∠TRI + m∠IRB = m∠TRB

3x - 5 + x + 27 = 86

3x + x - 5 + 27 = 86 {Combine like terms}

4x + 22 = 86 {Subtract 22 from both sides}

4x = 86 - 22

4x = 64 {Divide both sides by 4}

x = 64/4

x = 16

m∠TRI = 3x - 5

= 3*16 - 5

= 48 - 5

= 43

7 0

3 years ago

Solve for x<br> 3(X-5)-4X = 6(X-10) -(X+ 5)

Contact [7]

X=8.33
u have to isolate the x on a side ans the numbers on the other side of the equation

6 0

3 years ago

Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i

Nina [5.8K]

Answer:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

Step-by-step explanation:

Data given and notation

$X_{1}=253$ represent the number with no defects in sample 1

$X_{2}=196$ represent the number with no defects in sample 1

$n_{1}=300$ sample 1

$n_{2}=300$ sample 2

$p_{1}=\frac{253}{300}=0.843$ represent the proportion of number with no defects in sample 1

$p_{2}=\frac{196}{300}=0.653$ represent the proportion of number with no defects in sample 2

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

Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference in the 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 $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{253+196}{300+300}=0.748$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

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

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

Statistical decision

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

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

5 0

3 years ago