9. Which of the following is a proper fraction? A 12/10 B. 5/4 C.7/10 D.10 1/9

Jane invested her savings in two investment funds. The amount she invested in Fund A was $6000 less than the amount she invested

Irina18 [472]

Answer:

Jane invested $37,000 in Fund B.

Step-by-step explanation:

Let;

IA = Amount invested in Fund A = $6,000

IB = Amount invested in Fund B = ?

PA = Amount of profit from Fund A = IA * 8% = $6,000 * 8% = $480

PB = Amount of profit from Fund B = IB * 2%

Therefore, we have:

Total profit = PA + PB = $1220 ........................ (1)

Substitute the relevant values into equation (1) and solve for IB, we have:

$480 + (IB * 2%) = $1220

IB * 2% = $1220 - $480

IB * 2% = 740

IB = 740 / 2%

IB = $37,000

Therefor, Jane invested $37,000 in Fund B.

4 0

3 years ago

Which equation is represented by the line

gulaghasi [49]

Answer:

First, we need to find the slope of this line.

Slope is defined as rise over run, or change in y over change in x. We find two points on this line, and see that the slope is -4.

Then, we find the y-intercept, which in this case is 0.

Using slope intercept form, our answer is y=-4x

Let me know if this helps!

8 0

3 years ago

Read 2 more answers

A salesman for a new manufacturer of cellular phones claims not only that they cost the retailer less but also that the percenta

professor190 [17]

Answer:

$z=\frac{0.094-0.04}{\sqrt{0.0642(1-0.0642)(\frac{1}{180}+\frac{1}{225})}}=2.203$

$p_v =P(Z>2.203)= 0.0138$

Comparing the p value with the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so then the claim from the retailer makes sense at 1% of significance.

Step-by-step explanation:

Use a significance level of α=0.01 for the test.

Data given and notation

$X_{1}=17$ represent the number of defectives from the retailer

$X_{2}=9$ represent the number of defectives from the competitor

$n_{1}=180$ sample 1 selected

$n_{2}=225$ sample 2 selected

$p_{1}=\frac{17}{180}=0.094$ represent the proportion estimated for defectives from the retailer

$p_{2}=\frac{9}{225}=0.04$ represent the proportion estimated for defectives from the competitor

$\hat p$ represent the pooled estimate of p

z would represent the statistic (variable of interest)

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

$\alpha=0.01$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the percentage of defective cellular phones found among his products, ( p1), will be no higher than the percentage of defectives found in a competitor's line, ( p2), the system of hypothesis would be:

Null hypothesis: $p_{1} \leq p_{2}$

Alternative hypothesis: $p_{1} > p_{2}$

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 $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{17+9}{180+225}=0.0642$

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:

$z=\frac{0.094-0.04}{\sqrt{0.0642(1-0.0642)(\frac{1}{180}+\frac{1}{225})}}=2.203$

Statistical decision

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

$p_v =P(Z>2.203)= 0.0138$

Comparing the p value with the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so then the claim from the retailer makes sense at 1% of significance.

5 0

3 years ago

Need help with geometry problem

Firdavs [7]

BCD, because the largest side of a triangle is opposite to the largest interior angle.
Pls mark me as the Brainliest as I really need it!

3 0

3 years ago

Read 2 more answers

The function w(x) = 60x represents the number of words w(x) you can type in x minutes, how many words can you type in 9 minutes

Archy [21]

To solve this, plug in your given x value (9 minutes) in for x in your formula, so w(x)=60(9)=540 words as your answer.

7 0