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omeli [17]
3 years ago
12

Find the values of x and y if l // m. Show all work.

Mathematics
1 answer:
____ [38]3 years ago
6 0

Answer:

x = 7, y = 24

Step-by-step explanation:

23x -16 + 8x - 21 = 180 because they are supplementary angles

31x - 37 = 180

31x = 217

x = 7

23(7)-16 = 7y - 23 because they are vertical angles

168 = 7y

y = 24

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If the temperature in Florida falls below 32 degrees F during certain periods of the year, there is a chance that the citrus cro
notka56 [123]

Answer:

200 trees

Step-by-step explanation:

Given that the temperature drops to 30 degrees F, the expected value in this situation is given by the probability of each tree sustaining damage (10%), multiplied by the total number of trees susceptible to damage (2,000 trees):

E(X) = 0.10*2,000\\E(X) = 200\ trees

The mean number of trees showing damage is  200 trees.

5 0
3 years ago
In a previous​ poll, 40​% of adults with children under the age of 18 reported that their family ate dinner together seven night
natali 33 [55]

Answer:

We conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ increased or remained same.

Step-by-step explanation:

We are given that in a previous​ poll, 40​% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week.

Suppose​ that, in a more recent​ poll, 456 of 1194 adults with children under the age of 18 reported that their family ate dinner together seven nights a week.

Let p = <u><em>proportion of families with children under the age of 18 who eat dinner together seven nights a week.</em></u>

SO, Null Hypothesis, H_0 : p \geq 40%      {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ increased or remained same}

Alternate Hypothesis, H_A : p < 40%      {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased}

The test statistics that would be used here <u>One-sample z test for</u> <u>proportions</u>;

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

where, \hat p = sample proportion of families with children under the age of 18 who eat dinner together seven nights a week = \frac{456}{1194} = 0.38

           n = sample of adults = 1194

So, <u><em>the test statistics</em></u>  =  \frac{0.38-0.40}{\sqrt{\frac{0.38(1-0.38)}{1194} } }

                                     =  -1.424

The value of z test statistics is -1.424.

<u>Now, at 0.01 significance level the z table gives critical value of -2.326 for left-tailed test.</u>

Since our test statistic is more than the critical value of z as -1.424 > -2.326, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ increased or remained same.

8 0
4 years ago
The angle of elevation to a nearby tree from a point on the ground is measured to be
raketka [301]

Answer: the tree is 49.25

Step-by-step explanation:

8 0
3 years ago
Given the formula y = mx + b, what is the slope of a line, m, if x = 5, y = 7, and b =10?
anygoal [31]
The answer is:
C. The slope -3/5
Because -3/5 times 5 is -3 and when you combine -3 and 10 the answer is 7 and 7=7 (the y)
3 0
3 years ago
Find the equation of the line that passes through the point (-3,-6) and is parallel to the line y=-4/3x+7/3
Rufina [12.5K]

Answer: The answer is y=-4/3x-10.

Step-by-step explanation:

-6=-4/3(-3)+b

-6=4+b

-4  -4

-10=b

y=-4/3x-10

7 0
3 years ago
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