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marishachu [46]
3 years ago
7

If m A.140 B.60 C.50 D.40

Mathematics
1 answer:
Gre4nikov [31]3 years ago
5 0

Answer:

140

Step-by-step explanation:

Angle C = 180-A-B

C=180-80-60=40

DCA = 180-Angle C

DCA = 180-40

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how many ounces of pure water must be added to 50 ounces of a 15% saline solution to make a saline solution that is 10% salt
anygoal [31]

50 ounces of 15% saline solution contains 0.15*50 = 7.5 ounces of salt.

Let x be the amount of pure water you add to this solution. Then you end up with (x + 50) ounces of this new solution. The amount of salt stays the same.

You want the new solution to have a concentration of 10%. This means you need

7.5 / (x + 50) = 0.1

==>  7.5 = 0.1(x + 50)

==>  7.5 = 0.1x + 5

==>  2.5 = 0.1x

==>  2.5/0.1 = 0.1x/0.1

==>  x = 25

7 0
3 years ago
A triangular flag has an area of 187.5 square inches. The base of the flag measures 25 inch How tall is the triangular flag?
djyliett [7]
To find the height, you would do the area divided by the base, or in this case,187.5 / 25 which equals 7.5 inches.  Hope this helped!
3 0
3 years ago
What is the volume of a cylinder that is 15-m tall and has a radius of 3 m. Use 3.14 for π, and round your answer to the nearest
Agata [3.3K]

Answer:

D. 424 m³

Step-by-step explanation:

Use the formula for the volume of a cylinder

V = \pir²h

Plug in the values we know

V = (3.14)(3²)(15)

V = 423.9 m³

This is closest to answer choice D, 424 m³

So, D is correct

7 0
3 years ago
After a college football team once again lost a game to their archrival, the alumni association conducted a survey to see if alu
valentina_108 [34]

Answer:

P-value for this hypothesis test is 0.00175.

Step-by-step explanation:

We are given that the alumni association conducted a survey to see if alumni were in favor of firing the coach.

A simple random sample of 100 alumni from the population of all living alumni was taken. Sixty-four of the alumni in the sample were in favor of firing the coach.

<u><em>Let p = proportion of all living alumni who favored firing the coach</em></u>

SO, Null Hypothesis, H_0 : p = 0.50   {means that the majority of alumni are not in favor of firing the coach}

Alternate Hypothesis, H_A : p > 0.50   {means that the majority of alumni are in favor of firing the coach}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p  = sample proportion of the alumni in the sample who were in favor of firing the coach = \frac{64}{100} = 0.64

            n = sample of alumni = 100

So, <em><u>test statistics</u></em>  =  \frac{0.64-0.50}{{\sqrt{\frac{0.64(1-0.64)}{100} } } } }

                               =  2.92

<u>Now, P-value of the hypothesis test is given by ;</u>

         P-value = P(Z > 2.92) = 1 - P(Z \leq 2.92)

                                             = 1 - 0.99825 = 0.00175

Therefore, the P-value for this hypothesis test is 0.00175.

4 0
3 years ago
Match the number with its opposite. (4 points)
bazaltina [42]
I hope this helps!!!

1.C
2.A
3.B
4.D
8 0
3 years ago
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