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Firdavs [7]
3 years ago
15

What are the intercepts of the line?

Mathematics
2 answers:
madam [21]3 years ago
8 0
Hi There! :)

What are the intercepts of the line?A.
x-intercept: ; y-intercept: 

B.
x-intercept: ; y-intercept: 

C.
x-intercept: ; y-intercept: 

D.
x-intercept: ; y-intercept: 

Answer:C.x-intercept: ; y-intercept:<span> </span>
pochemuha3 years ago
5 0
The answer is C. i hope this helps!!!
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Angle of the Sun A 96-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun
scoray [572]

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

                                                   |

                                                   | 96ft

                                                   |

                                                   |

       θ------------------------------------

                    120ft

Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰

4 0
3 years ago
If carol hangs a picture using 3/8 yard of a wire that is 1 1/8 yards long.how much wire will carol have left?
Artemon [7]

Let the wire left be x yards.

Therefore, the answer of your question will be x yards.

Answer = x yards

8 0
3 years ago
A motorboat takes 3 hours to take a 60 mile trip downstream. It takes 5 hours to make the same trip upstream. Let x represent th
Leni [432]
THE RATE OF THE BOAT BELOW IS 5: 100
5 0
3 years ago
To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil
Debora [2.8K]

Answer:

statistic value t= 5.43

p-value: < 0.00001.

Step-by-step explanation:

Hello!

To obtain information over the corrosion-resistance properties of a certain type of steel conduit a random sample of 45 specimens was taken and buried for two years.

The study variable is:

X: Max. penetration of a steel conduit.

The data of the sample

n= 45

sample mean X[bar]= 53.4

sample standard deviation S= 4.2

The conduits are manufactured to have a true average penetration of at most 50 mills, symbolically: μ ≤ 50

The hypothesis is:

H₀: μ ≤ 50

H₁: μ > 50

α: 0.05

To choose the corresponding statistic to use to study the population mean, the variable must have a normal distribution. There is no available information to check this, so I'll just assume that the variable has a normal distribution and, since the population variance is unknown and the sample is small, the statistic to use is a Student t.

Under the null hypothesis, the critical region and the p-value are one-tailed.

Critical value:

t_{n-1; 1-\alpha } = t_{44; 0.95} = 1.68

Rejection rule:

Reject the null hypothesis when t ≥ 1.68

t= \frac{53.4 - 50}{\frac{4.2}{\sqrt{45} } }

t= 5.43

The calculated value is greater than the critical value, thedecision is to rject the null hypothesis.

p-value:

P(t ≥ 5.43) = 1 - P(t < 5.43) = < 0.00001.

The p-value is less than α so the decision is to reject the null hypothesis.

Since the null hypothesis was rejected, then the population average of the penetration of the conduits specimens is greater than 50 mils. It is not recommendable to use these conduits.

I hope it helps!

4 0
3 years ago
10. Mr. Hanson is preparing an activity for his
Anna71 [15]

Answer:

H

Step-by-step explanation:

Out of all of the answers provided, H seems like the equation that makes the most sense.

(60 * 3) = 180

[480 - (180)] = 300

300 = 60

Make sure you divide 300 sticks by 60 sticks (box max) to get the number of boxes.

300 / 60 = 5

So, Mr. Hanson would need to have 5 more boxes in order to get the total amount of 480 sticks.

From that, H would be considered the best equation that Mr. Hanson would use.

5 0
2 years ago
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