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2 years ago

11

darren has 3/4 of a gallon of soil.he needs to plant 5 small plants.if he splits the soil evenly between the plants.how much soi

l will each plant get?

1 answer:

Natali5045456 [20]2 years ago

3 0

3/4 divides by 5

3/4 x 1/5 = 3/20 of a gallon

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What is true about angle ∠APD?

Stolb23 [73]

Answer:

HEY MATE FIRST OF ALL THE QUESTION IS NOT COMPLETE. TRY MAKING IT MORE CLEAR NEXT TIME !

Step-by-step explanation:

IF THE QUESTION IS THIS IN THE BELOW THEN HERE IS THE ANSWER .

What is true about angle ∠APD?

It is to angle Angle A P C.

It is to angle Angle C P B.

SOLUTION :

Answer: It is supplementary to angle Angle A P C.

It is vertical to angle Angle C P B.

I hope this help :)

4 0

2 years ago

A survey organization has used the methods of our class to construct an approximate 95% confidence interval for the mean annual

lawyer [7]

Answer:

$\bar X = \frac{66000+70000}{2}= 68000$

We can estimate the margin of error with this formula:

$ME= \frac{Upper -Lower}{2}= \frac{70000-66000}{2}= 2000$

And the margin of error is given by:

$ME = z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

And we can rewrite the margin of error like this:

$ME =z_{\alpha/2}*SE$

Where $SE= \frac{\sigma}{\sqrt{n}}$

For 95% of confidence the critical value is $z_{\alpha/2}= \pm 1.96$

The Standard error would be:

$SE= \frac{ME}{z_{\alpha/2}}= \frac{2000}{1.96}= 1020.408$

For 99% of confidence the critical value is $z_{\alpha/2}= \pm 2.58$

And the new margin of error would be:

$ME = 2.58* 1020.408 = 2632.653$

And then the interval would be given by:

$Lower = 68000- 2632.653 = 65367.347$

$Upper = 68000+ 2632.653 = 70632.653$

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The 95% confidence interval is given by (66000 , 70000)

We can estimate the mean with this formula:

$\bar X = \frac{66000+70000}{2}= 68000$

We can estimate the margin of error with this formula:

$ME= \frac{Upper -Lower}{2}= \frac{70000-66000}{2}= 2000$

And the margin of error is given by:

$ME = z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

And we can rewrite the margin of error like this:

$ME =z_{\alpha/2}*SE$

Where $SE= \frac{\sigma}{\sqrt{n}}$

For 95% of confidence the critical value is $z_{\alpha/2}= \pm 1.96$

The Standard error would be:

$SE= \frac{ME}{z_{\alpha/2}}= \frac{2000}{1.96}= 1020.408$

For 99% of confidence the critical value is $z_{\alpha/2}= \pm 2.58$

And the new margin of error would be:

$ME = 2.58* 1020.408 = 2632.653$

And then the interval would be given by:

$Lower = 68000- 2632.653 = 65367.347$

$Upper = 68000+ 2632.653 = 70632.653$

7 0

3 years ago

Jason and Jared have a lawn-mowing service. They charge $20 per hour. One lawn was 150 ft. by 100 ft. and it took 11⁄2 hours to

rusak2 [61]

Answer:110$

Step-by-step explanation: well 11/2 hours equals 19800 seconds and 19800 seconds equals 5 hours and a half so 20 x 5 equals 100 and ya so and half 20 is 10 so 110$

3 0

2 years ago

Read 2 more answers

896, -448, 224, -112 next in the sequence

faltersainse [42]

56, you are dividing by -2 each time

4 0

3 years ago

Help me find answer to this

Debora [2.8K]

Answer:

$\angle B=41.81^\circ$

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:

$\displaystyle \sin B=\frac{\text{opposite leg}}{\text{hypotenuse}}$

Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:

$\displaystyle \sin \angle B=\frac{2}{3}=0.667$

Calculating the inverse sine function:

$\angle B=\arcsin (0.667)$

$\boxed{\angle B=41.81^\circ}$

5 0

2 years ago