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Gnoma [55]
2 years ago
6

}{2}" alt="\frac{9}{2} +\frac{1}{2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
3 0

Hello,

Numbers found by the ratio of a real number to a real number are called "Rational Numbers". As it is clearly seen in this question, the sum of two different rational numbers, the ratio of 9 to 2 and the ratio of 1 to 2, is asked.

Before we begin, let's examine the concepts of numerator and denominator.

Numerator: the part of a fraction that is above the line and signifies the number to be divided by the denominator.

Denominator: the part of a fraction that is below the line and that functions as the divisor of the numerator.

<u>Example:</u>

\frac{a}{b}

In the above expression, the variable "a" represents the numerator and the variable "b" represents the denominator.

Now we can solve the question. Let's get the result by adding the two given rational numbers.

\frac{9}{2}+\frac{1}{2}  =\frac{9+1}{2} =\frac{10}{2}=5

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The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is regi
yan [13]

Answer:

We conclude that the percentage of employed workers who have registered to vote exceeds the percentage of unemployed workers who have registered to vote.

Step-by-step explanation:

We are given that 513 employed persons and 604 unemployed persons are independently and randomly selected, and that 287 of the employed persons and 280 of the unemployed persons have registered to vote.

Let p_1 = <u><em>percentage of employed workers who have registered to vote.</em></u>

p_2 = <u><em>percentage of unemployed workers who have registered to vote.</em></u>

So, Null Hypothesis, H_0 : p_1\leq p_2      {means that the percentage of employed workers who have registered to vote does not exceeds the percentage of unemployed workers who have registered to vote}

Alternate Hypothesis, H_A : p_1>p_2     {means that the percentage of employed workers who have registered to vote exceeds the percentage of unemployed workers who have registered to vote}

The test statistics that would be used here <u>Two-sample z test for proportions;</u>

                          T.S. =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }  ~ N(0,1)

where, \hat p_1 = sample proportion of employed workers who have registered to vote = \frac{287}{513} = 0.56

\hat p_2 = sample proportion of unemployed workers who have registered to vote = \frac{280}{604} = 0.46

n_1 = sample of employed persons = 513

n_2 = sample of unemployed persons = 604

So, <u><em>the test statistics</em></u>  =  \frac{(0.56-0.46)-(0)}{\sqrt{\frac{0.56(1-0.56)}{513}+\frac{0.46(1-0.46)}{604} } }

                                       =  3.349

The value of z test statistics is 3.349.

<u>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</u>

Since our test statistic is more than the critical value of z as 3.349 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that the percentage of employed workers who have registered to vote exceeds the percentage of unemployed workers who have registered to vote.

5 0
2 years ago
511 = -7 (10x – 13)<br> steps
PilotLPTM [1.2K]

Answer: x=-6

<u>Simplify both sides of the equation</u>

<u></u>511=(-7)(10x)+(-7)(-13)(Distribute)\\511=-70x+91<u></u>

<u></u>

<u>Flip the equation</u>

<u></u>-70x+91=511<u></u>

<u></u>

<u>Subtract 91 from both sides</u>

<u></u>-70x+91-91=511-91\\-70x=420<u></u>

<u></u>

<u>Divide both sides by -70</u>

<u></u>-70x/70=420/-70\\x=-6<u></u>

3 0
3 years ago
Read 2 more answers
3. A jewelry store buys small boxes in which to wrap the items that it sells. The diagram below shows one of the boxes. The diag
ElenaW [278]

Answer:

1) The lateral area is LA=95 cm²

2) The surface area is SA=275  cm²

The answer is the option D) 95 cm² ; 275 cm²

Step-by-step explanation:

we know that

The surface area of the box (rectangular prism) is equal to

SA=2B+LA

where

B is the area of the base

LA is the lateral area of the box

<em>Find the lateral area</em>

LA=PH

where

P is the perimeter of the base

H is the height of the box

substitute

LA=2[15+6](2.26)=94.92 cm²

Round to the nearest whole number

LA=95 cm²

<em>Find the area of the base B</em>

B=(15)(6)=90 cm²

Find the surface area of the box

SA=2B+LA

substitute the values

SA=2(90)+95=275  cm²

5 0
3 years ago
Inverse functions
lana66690 [7]

Answer:

f(x)= e^(2x)-4

change f(x) to y, switch _6 and y. solve for _5x_

The final function

f^(-1) (x)= ln(x+_7(8_)/(_(__)

Step-by-step explanation:

3 0
3 years ago
Find the slope of the line please help!
Jlenok [28]
Slope = rise/run
Rise = 3, run = 8
Downwards line = negative
Slope = -3/8
3 0
2 years ago
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