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Anna [14]
2 years ago
9

Can the following angle measures form a triangle if Angle 1 measures 74.5 degrees, Angle 2 measures 87.1 degrees and Angle 3 mea

sures 23 degrees?
Mathematics
1 answer:
zzz [600]2 years ago
5 0

Answer:

no

Step-by-step explanation:

sum of angles=74.5+87.1+23=184.6°≠180°

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Solve 5g = 20<br><br><br><br> Please and thank u
Greeley [361]

Answer:

g = 4

Step-by-step explanation:

5g = 20

Divide each side by 5

5g/5 = 20/5

g = 4

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3 years ago
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How do i solve this absolute value equation |3x-2|+4=7?
Diano4ka-milaya [45]

Answer:

{3x-2}+4=10

Step-by-step explanation:

5 0
3 years ago
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Joshua and Crystal opened
Stells [14]

Answer:

Joshua's account had a greater change.

Step-by-step explanation:

Both accounts had $100

Joshua's account now has $67.25 which means he used $32.75

Crystal's account now has $131.97 which means he saved $31.97.

Joshua had a greater change of balance.

7 0
2 years ago
2. The National Safety Council routinely analyzes the benefit of seat belt use on driver safety. Their data showed that among 28
JulijaS [17]

Answer:

We conclude that there is difference in the proportion of deaths between the 2 groups.

Step-by-step explanation:

We are given that among 2823 drivers not wearing seat belts, 31 died as a result of injuries, and among 7765 drivers wearing seat belts 16 were killed.

Let p_1 = <u><em>proportion of deaths when drivers were not wearing seat belts.</em></u>

p_2 = <u><em>proportion of deaths when drivers were wearing seat belts.</em></u>

So, Null Hypothesis, H_0 : p_1=p_2      {means that there is no difference in the proportion of deaths between the 2 groups}

Alternate Hypothesis, H_A : p_1\neq p_2     {means that there is difference in the proportion of deaths between the 2 groups}

The test statistics that would be used here <u>Two-sample z test for proportions;</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 deaths when drivers were not wearing seat belts = \frac{31}{2823} = 0.011

\hat p_2 = sample proportion of deaths when drivers were wearing seat belts = \frac{16}{7765} = 0.002

n_1 = sample of drivers not wearing seat belts = 2823

n_2 = sample of drivers wearing seat belts = 7765

So, <u><em>the test statistics</em></u>  =  \frac{(0.011-0.002)-(0)}{\sqrt{\frac{0.011(1-0.011)}{2823}+\frac{0.002(1-0.002)}{7765} } }

                                       =  4.438

The value of z test statistics is 4.438.

<u>Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>

Since our test statistic doesn't lie 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 <u>we reject our null hypothesis</u>.

Therefore, we conclude that there is difference in the proportion of deaths between the 2 groups.

Also, <u>Margin of error</u> (E) =  1.96 \times \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} }

                                        =  1.96 \times \sqrt{\frac{0.011(1-0.011)}{2823}+\frac{0.002(1-0.002)}{7765} }

                                        =  <u>0.00397</u>

5 0
3 years ago
A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet f
Pie

Answer:

78.5°

Step-by-step explanation:

We solve for the above question, using the formula for the Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

Adjacent = The distance between the house and the base of the ladder = 4 feet

Hypotenuse = Length of the Ladder = 20 feet

Hence,

cos θ = 4/20

θ = arc cos(4/20)

θ = 78.463040967°

Approximately = 78.5°

Therefore, the angle that the ladder makes with the ground is 78.5°

6 0
2 years ago
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