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3 years ago

Which expression represents the length of the hypotenuse, c, of the triangle below?

Mathematics

2 answers:

telo118 [61]3 years ago

8 0

Answer:

C) $c=\sqrt{a^{2} +b^{2} }$

Step-by-step explanation:

The Pythagorean Theorem states that for a right triangle, the relationship between its three sides is $a^{2} +b^{2} =c^{2}$ where $a$ and $b$ are side lengths and $c$ is the length of the hypotenuse. This means that the length of the hypotenuse is $c=\sqrt{a^{2} +b^{2} }$ by taking the square root of both sides to solve for $c$ , making option C correct.

nlexa [21]3 years ago

5 0

Square root a^2 + b^2
The third one from the right

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Candidate C received 15,000 fewer votes than candidate B. If a total of 109,000 votes were cast, how many votes did candidate B

Zina [86]

Answer: Candidate B has 69,500 votes!

Step-by-step explanation:

one easy way to solve this is by dividing 109,000 in half and that gives us

54500 and 54500 but since Candidate C has 15000 less

we subtract 15000 from candidate c and add 15000 from candidate b

which gives us

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3 years ago

Consider the following hypothesis test.H0:μ1−μ2=0 Ha:μ1−μ2≠0The following results are for two independent samples taken from the

Julli [10]

Answer:

a) $z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53$

b) $p_v =2*P(z$

c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

Step-by-step explanation:

Information given

$\bar X_{1}= 104$ represent the mean for 1

$\bar X_{2}= 106$ represent the mean for 2

$\sigma_{1}= 8.4$ represent the population standard deviation for 1

$\sigma_{2}= 7.6$ represent the population standard deviation for 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic

Hypothesis to test

We want to check if the two means for this case are equal or not, the system of hypothesis would be:

H0: $\mu_{1}=\mu_{2}$

H1: $\mu_{1} \neq \mu_{2}$

The statistic would be given by:

$z =\frac{\bar X_1-\bar X_2}{\sqrt{\frac{\sigma^2_1^2}{n_1} +\frac{\sigma^2_2^2}{n_2}}}=$ (1)

Part a

Replacing we got:

$z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53$

Part b

The p value would be given by this probability:

$p_v =2*P(z$

Part c

Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

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3 years ago

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katen-ka-za [31]

A;
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3 years ago

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zhannawk [14.2K]

Answer:

Step-by-step explanation:

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3 years ago

In 3 and 4, Classify each triangle by its sides and then by its angles

romanna [79]

Answer:

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Step-by-step explanation:

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Angles: Acute because in an acute triangle all angles are acute.

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3 years ago