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3 years ago

2. Write the numbers as follows:a. 914,532,000in scientific notation.

Mathematics

1 answer:

Bas_tet [7]3 years ago

6 0

Answer:

9.14532 x 10^8

Step-by-step explanation:

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Is y= 5/2x - 3 and 5x = 2y - 4 parallel or perpendicular or neither?

PIT_PIT [208]

Answer:

Neither

Step-by-step explanation:

Parallel must have the same slope.

Perpendicular must have reciprocal slopes.

These two contain neither.

3 0

3 years ago

-4x - 84 = 2x + 24 <br> ??????

yarga [219]

Answer:

x= -54

Step-by-step explanation:

-4x - 84 = 2x + 24

-4x + 2x= 24 + 84

-2x= 108

x= 108 ÷ (-2)

x= -54

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3 years ago

In his garden Tim plants the seed

NemiM [27]

Answer:

2 1/2 in.

Step-by-step explanation:

6 - 3 1/2 this is the answers

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3 years ago

Two brands of AAA batteries are tested in order to compare their voltage. The data summary can be found below. Find the 93% conf

kobusy [5.1K]

Answer:

$(\bar X_1 -\bar X_2) \pm z_{\alpha/2} \sqrt{\frac{s^2_1}{n_1}+\frac{s^2_}{n_2}}$

And replacing we got:

$(9.2 -8.8) - 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.2903$

$(9.2 -8.8) + 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.5097$

And the confidence interval for the difference of means would be given by:

$0.2903 \leq \mu_1 -\mu_2 \leq 0.5097$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

We have the following data given:

$\bar X_1 = 9.2 , \bar X_2 = 8.8, \sigma_1= 0.3, n_1 = 27, \sigma_2 = 0.1, n_2 = 30$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 93% of confidence, our significance level would be given by $\alpha=1-0.93=0.07$ and $\alpha/2 =0.035$ . And the critical value would be given by:

$z_{\alpha/2}=-1.811, z_{1-\alpha/2}=1.811$

The confidence interval is given by:

$(\bar X_1 -\bar X_2) \pm z_{\alpha/2} \sqrt{\frac{s^2_1}{n_1}+\frac{s^2_}{n_2}}$

And replacing we got:

$(9.2 -8.8) - 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.2903$

$(9.2 -8.8) + 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.5097$

And the confidence interval for the difference of means would be given by:

$0.2903 \leq \mu_1 -\mu_2 \leq 0.5097$

4 0

3 years ago

Can someone explain the process of how to do this ACT math?

hammer [34]

Answer:

Step-by-step explanation:

∠D = ∠B {opposite angles of parallelogram are equal}

∠D = 40°

In ΔDCA

∠DCA + ∠D + ∠CAD = 180 {Angle sum property of triangle}

57 + 40 + ∠CAD = 180

97 + ∠CAD = 180

∠CAD= 180 - 97

∠CAD = 83°

3 0

3 years ago