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lesya [120]
2 years ago
11

What must be added to 294.315 to get 301.5?​

Mathematics
1 answer:
Yakvenalex [24]2 years ago
3 0

Answer:

7.185

Step-by-step explanation:

Because if u subtract them u get the answer

So 7.185 plus 294.315 is 301. 5

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What are the critical points for g(θ) = 28θ − 7 tan θ
Lelechka [254]
Thank you for posting your question here at brainly. I hope the answer will help you. Below is the solution:

g(θ) = 28θ − 7 tan θ 
g'(θ) = 28 − 7 sec(θ)^2 
0 = 4 - sec(θ)^2 
4 = sec(θ)^2, when θ = ((6*n-1)*pi) / 3 
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2 years ago
From an industrial area 70 companies were selected at random and 45 of them were panning for expansion next year. Find 95% confi
Lana71 [14]

Answer:

Confidence limit = [52.8%, 75.2%]

Step-by-step explanation:

P=\frac{45}{70}= 0.64

(1-P)=1-0.64=0.36

n= 70

P ± z \sqrt{\frac{P(1-P)}{n} }

where the value z will be taken from the z-table for 95% confidence interval

1-0.95= 0.05/2= 0.025

0.95+0.025= 0.0975

From the z-table the value of z corresponding to 0.0975 is 1.96

0.64 ± 1.96 \sqrt{\frac{0.64*0.36}{70} }

0.64 ± 1.96 (0.057)

0.64 ± 0.112

64%% ± 11.2%

so the confidence interval is

64+11.2=75.2%

64-11.2=52.8%

[52.8, 75.2]

8 0
2 years ago
Antonio's toy boat is bobbing in the water under a dock. The vertical distance HHH (in \text{cm}cmstart text, c, m, end text) be
musickatia [10]

Answer: Time t = 33.0 seconds

Step-by-step explanation:

Given that the vertical distance H between the dock and the top of the boat's mast t seconds after its first peak is modeled by the function

H(t) = 5cos( 2π/3 ​t) − 35.5H

Where the maximum vertical distance = 5

At the down position, H(t) = 0

5cos( 2π/3 ​t) − (35.5/100)H = 0

5cos( 2π/3 ​t) − 0.355 × 5 =0

5cos( 2π/3 ​t) − 0.1775 = 0

5cos( 2π/3 ​t) = 0.1775

cos( 2π/3 ​t) = 0.1775/5

cos( 2π/3 ​t) = 0.355

2π/3 ​t = cos^-1 (0.355)

2π/3 ​t = 69.2

2πt = 69.2 × 3

2πt = 207.6

t = 207.6/2π

t = 33.0 seconds

3 0
2 years ago
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An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment. The random variable i
jek_recluse [69]

Answer:

Option b. continuous random variable

Step-by-step explanation:

An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment.

In this experiment the speed is the the random variable.

Now, speed can take any value within an interval.

It can take infinite values within an interval.

Also, speed is always measured and not counted.

Thus, speed is a continuous random variable.

Thus, the correct answer is

Option b) continuous random variable

6 0
2 years ago
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Triangles A B C and T P Q are shown. Sides A C and T Q are congruent. Angles B C A and P Q T are congruent. Which statements are
Pani-rosa [81]

Answer:

If Angle A ≅ Angle T, then the triangles would be congruent by ASA

If Angle B ≅ Angle P, then the triangles would be congruent by AAS.

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It's already given that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So if angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.

Since you only need to pick 2 answer choices, you can stop there.

8 0
2 years ago
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