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Keith_Richards [23]

3 years ago

5

the area of the continent North America is about 9540000 square miles right 9540000 in expanded form using exponents to show the

powers of 10

2 answers:

VashaNatasha [74]3 years ago

8 0

It would be 9.54x10^6 because the nine is 6 spaces away from the decimal point if you get what i mean.

Elan Coil [88]3 years ago

6 0

<span>9,000,000+500,000+40,000+0,000+000+00+0=9,540,000</span>

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In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the nu

notka56 [123]

This can be found by finding 44 chosen 5 at a time times 1/32.
That would be
44! / (44-5)!(5!) * 32 =
1 chance in 34,752,256

4 0

3 years ago

How do you find DE, Round to nearest 10th

Sergeu [11.5K]

Answer: $DE\approx6.0$

Step-by-step explanation:

Observe in the figure given in the exercise that four right triangles are formed.

In this case you can use the following Trigonometric Identity to solve this exercise:

$cos\alpha=\frac{adjacent}{hypotenuse}$

From the figure you can identify that:

$\alpha =53\°\\\\hypotenuse=10\\\\adjacent=BE=DE$

Then, you can substitute values:

$cos(53\°)=\frac{DE}{10}$

The next step is to solve for DE in order to find its value. This is:

$10*cos(53\°)=DE\\\\DE=6.01$

Finally, rounding the result to the nearest tenth, you get that this is:

$DE\approx6.0$

7 0

3 years ago

For what value of x does 84^3x=512^2x+12

stealth61 [152]

2.193 X 10^-5

this is the answer

7 0

3 years ago

Write an equation for the line that passes through E(4, -3) and is parallel to the line

olasank [31]

Answer:

y= 5x/7 -27/7

if they are parallel there gradient is the same

m1=m2

y-y1=m(x-x1)

plug in the gradient and points E

y-(-3)=5/7( x-4)

y= 5/7(x) -20/7 +3

final answer

y= 5/7(x) +1/7

3 0

2 years ago

Some research suggests that police officers are more likely to make an arrest in the presence of bystanders. If mentally disorde

zmey [24]

Answer:

$t=\frac{7.03-3.58}{\frac{9.42}{\sqrt{20}}}=1.638$

$p_v =P(t_{(19)}>1.638)=0.0589$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not significantly higher than 3.58 at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=7.03$ represent the sample mean

$s=9.42$ represent the sample standard deviation

$n=20$ sample size

$\mu_o =3.58$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 3.58 :

Null hypothesis: $\mu \leq 3.58$

Alternative hypothesis: $\mu > 3.58$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{7.03-3.58}{\frac{9.42}{\sqrt{20}}}=1.638$

P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=20-1=19$

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

$p_v =P(t_{(19)}>1.638)=0.0589$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not significantly higher than 3.58 at 5% of signficance.

7 0

3 years ago