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IRISSAK [1]
3 years ago
5

Which rule would you use to test this parallelogram​

Mathematics
2 answers:
Molodets [167]3 years ago
7 0

Answer:

Opposite sides are congruent

Step-by-step explanation:

you can create equations -18 + 7x = 3x + 14 and 13y = 9 + 10y to solve for x and y to find the length of each side and whether they(the two pairs of opposite sides) are congruent or not

STALIN [3.7K]3 years ago
4 0
Opposite sides are congruent
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Oman said that it is impossible to raise a number to the power of 2 and get a value less than the original number. Do you agree
Eva8 [605]
Oman is wrong, if you raise any decimal number less than one to a power of 2 the number just gets smaller
7 0
3 years ago
If f(x) = 1/3x^2 + 5, find f(-9).<br> A. 248<br> B. -22<br> C. 11<br> D. 32
melamori03 [73]

Answer:

D. 32

Step-by-step explanation:

For this problem, we simply plug -9 in for x in f(x):

f(x)=\frac{1}{3} x^2+5  ⇒  f(9)=\frac{1}{3} *(9^2)+5=\frac{1}{3} *81+5=27+5=32

Thus, the answer is D. 32.

Hope this helps!

7 0
3 years ago
Read 2 more answers
"Immediately after a ban on using hand-held cell phones while driving was implemented, compliance with the law was measured. A r
sergiy2304 [10]

Answer:

(a) Null Hypothesis, H_0 : p_1-p_2=0  or  p_1= p_2  

    Alternate Hypothesis, H_A : p_1-p_2\neq 0  or  p_1\neq p_2

(b) We conclude that there is a statistical difference in these two proportions measured initially and then one year later.

Step-by-step explanation:

We are given that a random sample of 1,250 drivers found that 98.9% were in compliance. A year after the implementation, compliance was again measured to see if compliance was the same (or not) as previously measured.

A different random sample of 1,100 drivers found 96.9% compliance."

<em />

<em>Let </em>p_1<em> = proportion of drivers that were in compliance initially</em>

p_2<em> = proportion of drivers that were in compliance one year later</em>

(a) <u>Null Hypothesis</u>, H_0 : p_1-p_2=0  or  p_1= p_2      {means that there is not any statistical difference in these two proportions measured initially and then one year later}

<u>Alternate Hypothesis</u>, H_A : p_1-p_2\neq 0  or  p_1\neq p_2     {means that there is a statistical difference in these two proportions measured initially and then one year later}

The test statistics that will be used here is <u>Two-sample z proportion statistics</u>;

                     T.S.  = \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{ \frac{\hat p_1(1-\hat p_1)}{n_1} + \frac{\hat p_2(1-\hat p_2)}{n_2}} }  ~ N(0,1)

where, \hat p_1 = sample proportion of drivers in compliance initially = 98.9%

\hat p_2 = sample proportion of drivers in compliance one year later = 96.9%

n_1 = sample of drivers initially = 1,250

n_2 = sample of drivers one year later = 1,100

(b) So, <u><em>the test statistics</em></u>  =  \frac{(0.989-0.969)-(0)}{\sqrt{ \frac{0.989(1-0.989)}{1,250} + \frac{0.969(1-0.969)}{1,100}} }  

                                           =  3.33

<u>Now, P-value of the test statistics is given by;</u>

         P-value = P(Z > 3.33) = 1 - P(Z \leq 3.33)

                                            = 1 - 0.99957 = <u>0.00043</u>

Since in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test.

<em>Since our test statistics does not lies within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><u><em>we reject our null hypothesis.</em></u>

Therefore, we conclude that there is a statistical difference in these two proportions measured initially and then one year later.

7 0
3 years ago
35 out of 50 students in a class wear glasses. What percentage of students in the class wear glasses?
Mashutka [201]

Answer:

70%

Step-by-step explanation:

Percentage is out of 100

35/50 change denominator

multiply both numerator and denominator by 2

70/100= 70%

8 0
2 years ago
Pls help! Include the unit.
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