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ELEN [110]
2 years ago
13

what is the distance between point S and U? Round to the nearest tenth of a unit? A 3.3 B 6.4 C 8.1 D 12.0

Mathematics
1 answer:
ki77a [65]2 years ago
8 0
The distance between the points (d) is found using the Pythagorean theorem.

Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
   d² = 4² + 7²
   d² = 16 + 49
   d² = 65
   d = √65 ≈ 8.1

The distance between the points is
   C  8.1


_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.

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(12 divided by 3) 2 – (18 divided by 3 2)) < (4 divided by 2)
gladu [14]

Answer:

(12 \div 3)(2 - (18 \div 32) \\  = 4(2 -  \frac{19}{16} ) \\  = 4( \frac{23}{16} ) \\  =  \frac{23}{4}  \\ since \: (4 \div 2) = 2 \\  \frac{23}{4} is \: not \:  < 2 \: but \: its \:  > 2

4 0
3 years ago
Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te
andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 30 pound

Sample mean, \bar{x} = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s =  2 pounds

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}

We use one-tailed(left) t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012

Now,

t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729

Since,                    

t_{stat} < t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

5 0
3 years ago
Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you d
Sunny_sXe [5.5K]

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months

Therefore, it will take 88.2 months to accumulate the amount.

7 0
3 years ago
What is the following product
frosja888 [35]
I would pick C sorry if it’s wrong
3 0
2 years ago
Read 2 more answers
If the class started at 11:30 A.M. and ended at 12:25 P.M., how long did the class last?
Delicious77 [7]

Answer: 55 minutes

Step-by-step explanation:

If the class started at 11:30 A.M. and ended at 12:25 P.M., how long did the class last? 55 minutes

***If you found my answer helpful, please give me the brainliest, please give a nice rating, and the thanks ( heart icon :) ***

3 0
3 years ago
Read 2 more answers
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