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2 years ago

Enter the number that belongs in the green box

Mathematics

2 answers:

Fofino [41]2 years ago

6 0

Answer:

x = 96 and y = 84

Step-by-step explanation:

Given

A Point

Angles x,y and 84 degrees

Required

Find x and y

First, we should note that angle x and 84 degrees are supplementary.

<em>Two angles are said to be supplementary if they add up to 180 degrees</em>

x + 84 = 180

Make x the subject of formula

x = 180 - 84

x = 96

In the similar vein, angle x and y are supplementary.

so, x + y = 180

Substitute 96 for x

So, we have

96 + y = 180

make y the subject of formula

y = 180 - 96

y = 84

Hence, x = 96 and y = 84

OLga [1]2 years ago

5 0

Answer:

x=96°

y=96°

Step-by-step explanation:

y=84° because of vertical angles. the measure of all 4 angles added together is 360°, so we add the 84° and the other 84° angle, and subtract them from 360° to get the sum of the other two angles

360°-(84°+84°)=192°

divide 192° by 2 to get the measure of one angle

therefore, x=96°

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Jenny reads 5/8 pages in 2/3 minutes what's the unit rate

LekaFEV [45]

Answer:

15/16 pages in a minute

Step-by-step explanation:

So to make a unit rate, you have to make the denominator 0. So (5/8)/(2/3) is 5/8*3/2 or 15/16. So that would be 15 pages in 16 minutes or 15/16 pages in a minute.

6 0

3 years ago

A grocery store sells 5 bottles of water for $3 and 15 bottles of water for$8 is the cost of the water proportional to the numbe

egoroff_w [7]

Hi there! 5 bottles of water for $3 would make $0.60 per bottle. 0.6 * 15 = 9. That means 15 bottles of water should equal $9, but instead it is $8. Based on that, no. The costs for bottles of water is not proportional to the numbers sold. Basically, you can divide to find unit prices and multiply the number of another item to see if the numbers are proportional.

8 0

2 years ago

Do You Understand?

Thepotemich [5.8K]

Answer:

Ok, so this is a word game, basically. The answer would be no, he is not correct BECAUSE...⬇

Step-by-step explanation:

It looks to be asking "Is Jesse correct in saying that he has EXACTLY one liter left?" That would be a no because even though 10L-7L= 3L, the problem asks if he does have exactly ONE liter left, and Jesse says he DOES. But, according to my little equation above, if he drank 7L, he would have 3L left, NOT 1L. Soo, my answer would be "No, Jesse is not correct because 10L-7L=3L and if he says there is 1L left, he would not be correct because there are 3L left." Hope that helps!

3 0

2 years ago

You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence

Alla [95]

Answer:

$122 \leq \mu \leq 138$

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

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 % where by 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".

Solution to the problem

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that $t_{\alpha/2}=2.06$