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SSSSS [86.1K]
3 years ago
11

(05.02)One triangle on a graph has a vertical side of 5 and a horizontal side of 11. Another triangle on a graph has a vertical

side of 15 and a horizontal side of 33.
Could the hypotenuses of these two triangles lie along the same line?

No, because they need to be the same size
No, because they are not similar triangles
Yes, because all triangles can fit along this line
Yes, because they are similar triangles
Mathematics
2 answers:
Vladimir [108]3 years ago
7 0

Answer:

The answer is the option

Yes, because they are similar triangles

Step-by-step explanation:

we know that

The first and the second triangle are right triangles

The hypotenuses of these two triangles could lie along the same line,  if the two triangles were similar

Verify if the triangles are similar

Remember that

If two triangles are similar then

the ratio of their corresponding sides is equal

so

\frac{5}{15}=\frac{11}{33}

simplify

\frac{1}{3}=\frac{1}{3} --------> is rue

therefore

the triangles are similar

and the answer is

Yes, because they are similar triangles

Andrew [12]3 years ago
4 0
Yes because they are similar triangles
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Answer:

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3 years ago
A random sample of 850 births included 434 boys. Use a 0.10 significance level to test the claim that 51.5​% of newborn babies a
Molodets [167]

Answer:

A

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

z = -0.257

P value = P(Z<-0.257) = 0.797

Decision; we fail to reject the null hypothesis. That is, the results support the belief that 51.5​% of newborn babies are​ boys

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 90% confidence interval) ---- reject Null hypothesis

Z score < Z(at 90% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

Given;

n=850 represent the random sample taken

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 850

po = Null hypothesized value = 0.515

p^ = Observed proportion = 434/850 = 0.5106

Substituting the values we have

z = (0.5106-0.515)/√(0.515(1-0.515)/850)

z = −0.256677

z = −0.257

To determine the p value (test statistic) at 0.10 significance level, using a two tailed hypothesis.

P value = P(Z<-0.257) = 0.797

Since z at 0.10 significance level is between -1.645 and +1.645 and the z score for the test (z = -0.257) which falls with the region bounded by Z at 0.10 significance level. And also the one-tailed hypothesis P-value is 0.797 which is greater than 0.10. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 10% significance level the null hypothesis is valid.

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What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
vesna_86 [32]

Answer:

x+2

Step-by-step explanation:

we know that

To find out the factors of a polynomial, determine the x-intercepts or zeros of the polynomial

Remember that

The x-intercepts of a polynomial are the values of x when the value of the polynomial is equal to zero

In this problem

Looking at the graph

For x=-2, f(x)=0

so

x=-2 is an x-intercept or zero of the polynomial

To find out the factor move the constant to the left side and equate to zero

x=-2

adds 2 both sides

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5 0
3 years ago
Read 2 more answers
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