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FrozenT [24]
2 years ago
5

5. (x + 10°) (x + 20°)

Mathematics
1 answer:
bagirrra123 [75]2 years ago
3 0
What are you asking here? I need more information to solve please
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It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat
wariber [46]

Answer:

Step-by-step explanation:

Given that :

population mean μ = 120

sample size n = 37

sample mean x = 111

standard deviation = 21

The null hypothesis and the alternative hypothesis can be computed as:

The null hypothesis:

\mathbf{ H_o: \mu = 120 }

The alternative hypothesis:

\mathbf{ H_o: \mu \neq 120 }

Since this test is two-tailed,  the value for the test statistics can be computed as:

z = \dfrac{\overline x - \mu}{\dfrac{\sigma }{\sqrt{n}}}

z = \dfrac{111 - 120}{\dfrac{21}{\sqrt{37}}}

z = \dfrac{-9}{\dfrac{21}{6.08}}

z = -2.605

z = -2.61

Since this is a two-tailed test

P-value = 2(z < -2.61)

From the z table;

P-value = 2(0.0045)

P -value = 0.009

Decision rule: To reject the null hypothesis if the p-value is lesser than the level of significance

Conclusion: We reject the null hypothesis since the p-value is lesser than the level of significance. Thus, there is sufficient evidence to conclude that the average breaking distance differs from 120 feet.

7 0
3 years ago
How many pounds is equivalent to 168 ounces
riadik2000 [5.3K]
10.5 pounds is the answer to the question
5 0
3 years ago
Read 2 more answers
I need to know the surface area. The formula is Area Of Base + Area of lateral faces
Vika [28.1K]

Answer:

<h2>215.1 yd²</h2>

Step-by-step explanation:

We have three triangles with base b = 9yd and height h = 10yd, and one triangle in the base of pyramid with base b = 9yd and height h = 7.8yd.

The formula of an area of a triangle:

A_\triangle=\dfrac{bh}{2}

Substitute:

LA=4\cdot\dfrac{(9)(10)}{2}=(2)(90)=180\ yd^2\\\\B=\dfrac{(9)(7.8)}{2}=(9)(3.9)=35.1\ yd^2\\\\SA=B+LA\to SA=180+35.1=215.1\ yd^2

8 0
3 years ago
Find the measure of b, given m∠A = 38o m ∠ A = 38 o , m∠B = 74o m ∠ B = 74 o and a = 31.
Stells [14]

B is the right answer.

48.4017

8 0
3 years ago
The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.1
Ivan

Answer:

0.6 probability that -2 \leq x \leq 2

Step-by-step explanation:

The probability distribution is given in the table.

Probability that x is between -2 and 2.

Between -2 and 2, inclusive, we have -2, 0 and 2. So

P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2)

From the table:

P(X = -2) = 0.33, P(X = 0) = 0.16, P(X = 2) = 0.11. So

P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2) = 0.33 + 0.16 + 0.11 = 0.60

0.6 probability that -2 \leq x \leq 2

4 0
3 years ago
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