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3 years ago

What is the expanded form of 337,060 using exponents

Mathematics

1 answer:

Ymorist [56]3 years ago

7 0

337,060 = (3x10^6) + (3x10^5) + (7x10^4) + (0x10^3) + (0x10^2) + (6x10^1) + (0x10^0)

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hector is lining a youth soccer field from a blueprint drawing.the blueprint is drawn such that 1 inch represents 7 feet.the wid

PtichkaEL [24]

If you mean width, 7 x 7 = 49, so 49 feet, then add on the 3.5 feet due to the 0.5 left over, and you have 52.5

4 0

3 years ago

2. The National Safety Council routinely analyzes the benefit of seat belt use on driver safety. Their data showed that among 28

JulijaS [17]

Answer:

We conclude that there is difference in the proportion of deaths between the 2 groups.

Step-by-step explanation:

We are given that among 2823 drivers not wearing seat belts, 31 died as a result of injuries, and among 7765 drivers wearing seat belts 16 were killed.

Let $p_1$ = proportion of deaths when drivers were not wearing seat belts.

$p_2$ = proportion of deaths when drivers were wearing seat belts.

So, Null Hypothesis, $H_0$ : $p_1=p_2$ {means that there is no difference in the proportion of deaths between the 2 groups}

Alternate Hypothesis, $H_A$ : $p_1\neq p_2$ {means that there is difference in the proportion of deaths between the 2 groups}

The test statistics that would be used here Two-sample z test for proportions;

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 deaths when drivers were not wearing seat belts = $\frac{31}{2823}$ = 0.011

$\hat p_2$ = sample proportion of deaths when drivers were wearing seat belts = $\frac{16}{7765}$ = 0.002

$n_1$ = sample of drivers not wearing seat belts = 2823

$n_2$ = sample of drivers wearing seat belts = 7765

So, the test statistics = $\frac{(0.011-0.002)-(0)}{\sqrt{\frac{0.011(1-0.011)}{2823}+\frac{0.002(1-0.002)}{7765} } }$

= 4.438

The value of z test statistics is 4.438.

Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistic doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that there is difference in the proportion of deaths between the 2 groups.

Also, Margin of error (E) = $1.96 \times \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} }$

= $1.96 \times \sqrt{\frac{0.011(1-0.011)}{2823}+\frac{0.002(1-0.002)}{7765} }$

= 0.00397

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3 years ago

Avery has 2 blue marbles. One sixth of Avery's marble are blue. How many marbles does Avery have?

katrin [286]

Answer:

Step-by-step explanation:

The equation

2 = (1/6)x represents this situation.

2 is 1/6 of some value. In this case, the value is the total number of marbles. 2 represents 1/6 of the total number of marbles is how to read that equation in context. Solve that equation for x

2 = (1/6)x

12 = x (multiply both sides by 6 to get rid of the fraction)

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2 years ago

In a 400 meter race, 4 runners pass a baton as each of them runs 100 meters of the race. The table shows the split times for the

kati45 [8]

Answer:

Since the equation is addition, reverse it into subtraction. 210-53.715-51.3-52.62= 52.365. You can add 53.715 by 51.3 by 52.62 by 52.365 to check your answer, and it will be 210 so the 4th runner ran 52.365 seconds.

i also got this question but i figured it out lol

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3 years ago

What does the symbol for factorial function (n!) mean?

Firlakuza [10]

N! means multiply the number by every number less than n

example 5! means 5 x 4 x 3 x 2 x 1

8 0

3 years ago

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