Hello I need help on Number 9

Natasha, Mark and Henry share some sweets in the ratio 5:4:4. Natasha gets 35 sweets. How many more sweets does Natasha get over

Trava [24]

Answer:

7 sweets

Step-by-step explanation:

This is because the constant of proportionality is 7 since 35/5 since it is the ratio for Natasha. Since 7 is the constant of proportionality, you multiply it by the difference of the ratios. In this case, Natasha and Henry have a difference of 1 in ratios. Since it is a difference of 1, you multiply that by the constant of proportionality, 7. 7 X 1 is equal to 7, so Natasha gets 7 more sweets than Henry.

3 0

3 years ago

Frank has x grapes.

Step2247 [10]

Hamali has 40 grapes

6 0

3 years ago

Charlotte divided a whole pizza into 4 pieces. one piece formed a straight angle. one formed a right angle. two pieces formed ac

Minchanka [31]

You have to draw a pie graph.

The first piece (with the straight angle) cuts the pie in half.

The second piece cuts the remaining half in halves (making a quarter).

The third and fourth pieces are the same as each other. So they must each have an angle of 45 degrees. Each of these is an eighth of the total pie.

Should be fairly easy. Good luck!

7 0

3 years ago

Helen is a secretary and earns $10.82 per hour she worked 38 hours last week , what is her straight-time pay?

NikAS [45]

Answer:

Answer is : $411.16

Step-by-step explanation:

How much she earns per hour which is $10.82 times by the total hours she have worked 38h then you get the answer which is $411.16

$10.82 X 38 hours = $411.16 total

3 0

2 years ago

A survey is to be conducted to determine the average driving in miles by Minnesota State University, Mankato students. The inves

Nadusha1986 [10]

Answer:

$n=(\frac{1.75(8.2)}{1.5})^2 =91.52 \approx 92$

So the answer for this case would be n=92 rounded up to the nearest integer

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 margin of error is given by this formula:

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

And on this case we have that ME =1.5 and we are interested in order to find the value of n, if we solve n from equation (b) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 92% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.04;0;1)", and we got $z_{\alpha/2}=1.75$ , replacing into formula (b) we got:

$n=(\frac{1.75(8.2)}{1.5})^2 =91.52 \approx 92$

So the answer for this case would be n=92 rounded up to the nearest integer

5 0

3 years ago

Hello I need help on Number 9​

Hello I need help on Number 9