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3 years ago

13

Russell runs 9/10 mile in 5 minutes. At the rate, how many miles can he run in one minute

1 answer:

jonny [76]3 years ago

5 0

9/10 mile = 5 min

9/10 ÷ 5 mile = 1 min

9/10 × 1/5 mile = 1 min

9/50 mile = 1 min

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List in order the specific operations that you would use to isolate X in the following equation show the step that corresponds t

loris [4]

7 + 3.(2 - 3x) = 67
3 brackets are distributed

7+6-9x = 67
13-9x = 67
-9x = 67
x = 67/-9

8 0

3 years ago

Simplify 4√16 + 8√16

Mumz [18]

$4\sqrt{16} + 8\sqrt{16}$ :

Since $\sqrt{1} =1$ , we get:

$4\cdot \:1\cdot \:6+8\cdot \:1\cdot \:6=24+48=72$

-----------------------------------------------------------------------------------

$7\sqrt{4} *3\sqrt{8}$

We have $\sqrt{4}=2$

simplify $\sqrt{8} = \sqrt{2^3} = \sqrt{2^2*2}$

then the radical rule is used: $\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

⇒ $\sqrt{2^2*2} = \sqrt{2^2} \sqrt{2}= \sqrt{4}\sqrt{2} =2\sqrt{2}$

Now we have $\sqrt{4}=2$ and $\sqrt{8}=2 \sqrt{2}$

$7\sqrt{4} *3\sqrt{8} = 7*2*3*2\sqrt{2} = 84 \sqrt{2}$

-----------------------------------------------------------------------------------

$2\sqrt{4}+5 \sqrt{9}$

$2\sqrt{4} =2*2= 4$ and $5\sqrt{9} =5*3= 15$

$2\sqrt{4}+5 \sqrt{9} = 4+15 = 19$

-----------------------------------------------------------------------------------

$4\sqrt{5} -2\sqrt{5} = 2\sqrt{5}$

since $2\sqrt{5}$ is the half of $4\sqrt{5}$

-----------------------------------------------------------------------------------

$-4\sqrt{2}\:+\:5\sqrt{2} =1 \sqrt{2} = \sqrt{2}\\$ <em>(-4+5=1)</em>

4 0

2 years ago

In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax

Nikolay [14]

Answer:

a

The null hypothesis is $H_o : p = 0.75$

The alternative hypothesis is $H_a : p \ne 0.75$

b

$t = 2.51$

c

$p-value = 0.01207$

d

There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

Step-by-step explanation:

From the question we are told that

The sample size is $n = 745$

The number that said it is morally wrong is $k = 589$

The level of significance is $\alpha = 0.01$

The population proportion is $p = 0.75$

Generally the sample proportion is mathematically represented as

$\r p = \frac{k}{n}$

=> $\r p = \frac{589}{745}$

=> $\r p = 0.79$

The null hypothesis is $H_o : p = 0.75$

The alternative hypothesis is $H_a : p \ne 0.75$

The standard error is mathematically represented as

$SE = \sqrt{\frac{p(1-p)}{n} }$

=> $SE = \sqrt{\frac{0.75(1-0.75)}{745} }$

=> $SE =0.0159$

Generally the test statistics is mathematically represented as

$t = \frac{\r p - p }{SE}$

=> $t = \frac{0.79 - 0.75 }{0.0159}$

=> $t = 2.51$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z > 2.51)$

From the the z-table

$P(Z > 2.51) = 0.0060366$

=> $p-value = 2 * 0.0060366$

=> $p-value = 0.01207$

From the calculation $p-value >\alpha$

Hence we fail to reject the null hypothesis

Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

7 0

3 years ago

PLEASE, PLEASE HELP ME I SWEAR I'LL GIVE BRAINLIEST

Sunny_sXe [5.5K]

Answer:

1. is a solution

2. is a solution

3. not a solution

4. not a solution

5. not a solution

6. is a solution

7. is a solution

8. not a solution

Step-by-step explanation:

5 0

2 years ago

How much would you pay for 115 minutes?

melomori [17]

Answer:

Answer is A - $43.40

Step-by-step explanation:

For 115 minutes, we would be in the middle territory and so will need to use the middle equation:

$c(x)=0.35x+3.15\\c(115) = 0.35(115)+3.15\\c(115)=40.25+3.15\\c(115)=43.40$

3 0

3 years ago