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3 years ago

Sasha shared 20 muesli bars with three friends.

1 answer:

7 0

Answer: Sasha has 20 bars to start of with. Let's assume Sasha keeps 6 bars for herself. The problem says Sasha has twice as many bars as Hanna, so Hanna HAS to have 3 bars. The problem says Kyle got 3 more bars than Hanna, so 3+3=6, and Hannah got 2 less bars than Noah.. Noah has to have bars because 5-3=2

Sasha 6, Kyle 6, Noah 5, Hanna 3= 6+6+5+3=20

Step-by-step explanation:

You might be interested in

Elizabeth was at the grocery store. She bought 3 pounds of apples at $0.89 per pound, 2 pounds of oranges at $0.53 per pound, an

svet-max [94.6K]

Answer:

Elizabith bought 3 lbs of apples at $1.99 per lb.

This means that cost of 3 lbs of apple= $ (1.99×3)

i.e. cost of 3 lbs of apple= $ 5.97

Two loaves of bread at $.89 per loaf.

Cost of 2 loaves= $ (0.89×2)

i.e.

Cost of 2 loaves= $ 1.78

A box of cereal at $3.99 per box.

Cost of one gallon of milk at $3.19 per gallon.

This means that the total cost of his purchase is:

$ (5.97+1.78+3.99+3.19)

= $ 14.93

If Eliza paid with $20.

This means that the change she will receive is:

= $ (20-14.93)

= $ 5.07

Step-by-step explanation:

3 0

3 years ago

You Have 1,000,000 number cubes, each measuring one inch on a side. If you stacked the cubes on top of one another to make an an

disa [49]

Answer:

<em>1,000,000 inches or approx. 15.8 miles</em>

Step-by-step explanation:

1,000,000 * 1 inch = 1,000,000 inches

1,000,000 inches * (1 ft)/(12 inches) * (1 mile)/(5280 ft) = 15.78... miles

7 0

3 years ago

Elbert made 48% of the shots he took during the basketball game. If he attempted 25 shots, how many times did he score?

raketka [301]

Hi there! So Elbert made 48% of his shots. To find out how many shots he made, all you have to do is multiply the amount of shots he attempted by the percentage. 25 * 48% is 12. There. Elbert scored 12 baskets.

3 0

3 years ago

A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics e

professor190 [17]

Answer:

$\chi^2 =\frac{15-1}{25} 16 =8.96$

The degrees of freedom are given by:

$df = n-1 = 15-1=14$

The p value for this case would be given by:

$p_v =P(\chi^2$

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes

Step-by-step explanation:

Information given

$n=15$ represent the sample size

$\alpha=0.05$ represent the confidence level

$s^2 =16$ represent the sample variance

$\sigma^2_0 =25$ represent the value that we want to verify

System of hypothesis

We want to test if the true deviation for this case is lesss than 5minutes, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 \geq 25$

Alternative hypothesis: $\sigma^2$

The statistic is given by:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And replacing we got:

$\chi^2 =\frac{15-1}{25} 16 =8.96$

The degrees of freedom are given by:

$df = n-1 = 15-1=14$

The p value for this case would be given by:

$p_v =P(\chi^2$

6 0

3 years ago

Please answer both questions math

djyliett [7]

Answer:

$3$ and perpendicular

Step-by-step explanation:

It's important to remember that equations of lines are always set up in the format of $y=mx+c$ .

$y$ is the $y$ value, $m$ is the gradient/slope, $x$ is the $x$ value and $c$ is the y-intercept.

Therefore, we must always rearrange our line equations so that $y$ is the subject.

In the first question, we are given the equation $2x+6y=12$ .

We rearrange to make $y$ the subject:

$6y = 12-2x$

Then, we divide both sides by 6 to have the $y$ isolated:

$\frac{6}{6} y = \frac{12}{6} - \frac{2}{6}x\\\\ y = 2 - \frac{1}{3}x$

To find a perpendicular slope, we use the negative reciprocal of the original slope. The negative part of that means we negate the value (it becomes inverse) and the reciprocal part means that we flip the fraction.

So here, the slope is $-\frac{1}{3}$ .

So, the negative reciprocal of that would be $3$ because we inverse the sign (the negative becomes positive) and the fraction is flipped to create $\frac{3}{1}=3$ .

So, the perpendicular slope is $3$ .

In the second question, we have two equations. They both need to be rearranged to isolate the $y$ .

$4x-y=5\\4x = 5 + y\\y = 4x - 5\\\\4y = -x-12\\y = -\frac{1}{4}x - 3$

Look at the slopes of the two equations. If you look carefully, you will see that they are inverse of each other (one is positive and one is negative) and if you imagine $4 = \frac{4}{1}$ , the fraction is flipped.

This means that the values are negative reciprocals of each other, meaning the lines are perpendicular.

5 0

2 years ago