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3 years ago

HELP DUE IN 10 MINS! Solve for x in the parallelogram below: x=??

Mathematics

1 answer:

slavikrds [6]3 years ago

6 0

Answer:

x = 10

Step-by-step explanation:

The opposite angles in a parallelogram are congruent, then

5x - 9 = 3x + 11 ( subtract 3x from both sides )

2x - 9 = 11 ( add 9 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

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The movie theater charges $4 for children, $6 for adults, and $5 for seniors. A group of 14 people decide to go to the movies. T

MaRussiya [10]

Answer:

Adults=8

Childrens=2

Seniors=2

Step-by-step explanation:

Children $4

Adults $6

Seniors $5

There are an equal number of seniors and children.

The entire group spent a total of $66.

If 11 adults attended, the total amount will be $66 and the number of senior and childrens will be the same, 0. But this is not possible because the statement says that childrens and seniors are part of the group.

If we add the charges of childrens and seniors is equal to $9.

Assuming that the group has 2 childrens and 2 seniors the add is equal to:

$(2*5)+(2*4)= 18$

Now we substract the result from the total amount:

$66-18=48$

48 is multiple of 6, this means we have in the group 8 adults, 2 childrens and 2 seniors.

4 0

3 years ago

The answer is 3,4 what is the question

anzhelika [568]

Answer:

What is the x and y coordinate of (3,4)

4 0

3 years ago

Which is a factor of 20x2 + 40x + 15? 4x + 1 4x + 3 2x + 3 x + 2

maksim [4K]

C)
$2x + 3$

3 0

4 years ago

The solution of -2x + 13 <9 is

Karo-lina-s [1.5K]

Inequality form: x > 2
Interval notation: (2, ∞ )

8 0

3 years ago

A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class

KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

Let p = percentage of seniors who skip their classes.

So, Null Hypothesis, $H_0$ : p $\leq$ 2% {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, $H_A$ : p > 2% {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of seniors who skipped their classes = $\frac{77}{2521}$

n = sample of classes = 2521

So, test statistics = $\frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }$

= 3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that seniors skip more than 2% of their classes.

6 0

4 years ago