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madreJ [45]
3 years ago
12

Find the m ABC if ray BD bisects LABC.

Mathematics
1 answer:
insens350 [35]3 years ago
6 0

The third one

Step-by-step explanation:

I believe the answer is 126 degrees. Since angle ABC is obtuse meaning over 90 degrees.

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Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally di
tatyana61 [14]

Answer:

1.7 × 10⁻⁴

Step-by-step explanation:

The question relates to a two sample z-test for the comparison between the means of the two samples  

The null hypothesis is H₀:  μ₁ ≤ μ₂

The alternative hypothesis is Hₐ: μ₁ > μ₂

z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}

Where;

\bar {x}_1 = 13.5

\bar {x}_2 = 12

σ₁ = 2.5

σ₂ = 1.5

We set our α level at 0.05

Therefore, our critical z = ± 1.96

For n₁ = n₂ = 23, we have;

z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969

We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96

Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983

Therefore;

The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.

8 0
3 years ago
On a map, 1 centimeter represents a distance of 15 kilometers. How many kilometers are represented by 7 centimeters?
marishachu [46]

Answer:

105

Step-by-step explanation:

15 times 7 =105

5 0
2 years ago
NEED HELP FAST WILL MARK BRAINLIEST
Tju [1.3M]
Pretty sure the answer is 18

3^2+3^2=9+9=18 (with a square root)
6 0
3 years ago
micheal brought 12 used books at th book sale. he paid $42.60 for the books. if each book cost the same price, how much did one
nordsb [41]

Answer:

Each book cost $3.55

Step-by-step explanation:

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3 years ago
Which graph represents the function of f(x)= (4x^2-4x-8)/(2x+2)
g100num [7]

Answer:

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3 years ago
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