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3 years ago

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Teo rides his bike in a straight line from his location perpendicular to path A, and Luke rides his bike in a straight line from

his location, perpendicular to path B. What are the coordinates of the point where they meet?

1 answer:

ollegr [7]3 years ago

6 0

Answer:

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Answer: the answer to lg is 18

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After eating dinner at the local diner, your bill is $14.25. if you tip 10%, how much money will you leave the waiter?

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A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is

seraphim [82]

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

<em>They score is above 24 on the math portion of the exam</em>

<em>b) </em>

<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

<u>Alternative Hypothesis: </u>H₁: μ ≠ 24

<u>Step-by-step explanation:</u>

<u><em>Step(i)</em></u>:-

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

<u>Alternative Hypothesis: </u>H₁: μ ≠ 24

test statistic

$Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397$

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576$

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at 0.01% level of significance

<em>They score is above 24 on the math portion of the exam</em>

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96$

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at 0.05% level of significance

<em>They score is below 24 on the math portion of the exam</em>

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3 years ago

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A lololollolohhhhhhhhhhhhh

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3 years ago

Seniors at a high school were asked what color car they drive. The results were put in a circle graph. The measure of each centr

horrorfan [7]

Answer:

P(The color of the car is red) is 0.32 .

P(The color of the car is white) is 0.34 .

P(The color of the car is silver) is 0.19 .

P(The color of the car is blue) is 0.15 .

P(car color is not red or blue) is 0.53 .

Step-by-step explanation:

We know that total angle subtended at the center by a complete circle is

360° .

According to the question,

P(The color of the car is red)

= $\frac {115.2}{360}$

= 0.32

P(The color of the car is white)

= $\frac {122.4}{360}$

= 0.34

P(The color of the car is silver)

= $\frac {68.4}{360}$

= 0.19

P(The color of the car is blue)

= $\frac {54}{360}$

= 0.15

So

P(car color is not red or blue)

= 1 - (0.15 + 0.32)

= 0.53

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3 years ago

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