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Kaylis [27]
2 years ago
14

Question 4 (Fill-In-The-Blank Worth 4 points)

Mathematics
2 answers:
luda_lava [24]2 years ago
6 0

Answer:

21.2

Step-by-step explanation:

Always must do the parenthesis first. This will give you 5 and now you must take 53 and 5 and divide them, leaving you with 10.6. Multiply that by 2 and you have 21.2.

Please check out my latest song on Sound cloud. I will post the link below

OlgaM077 [116]2 years ago
5 0

Answer:

53÷(13-8) × 2

53÷5×2

53÷10

5.6

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The angle between the two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 60°. Find t
Galina-37 [17]

Answer:

∠A = ∠C = 60°  

∠B = ∠D = 120°

Step-by-step explanation:

In quad. DPBQ, by angle sum property we have

∠PDQ + ∠DPB + ∠B + ∠BQD = 360°

60° + 90° + ∠B + 90° = 360°

∠B = 360° – 240°

Therefore, ∠B = 120°

But ∠B = ∠D = 120°    opposite angles of parallelogram 

As, AB || CD      opposite sides of a parallelogram

∠B + ∠C = 180°     sum of adjacent interior angles is 180°

120° + ∠C = 180°

∠C = 180° – 120° = 60°

Hence ∠A = ∠C = 60°    Opposite angles of parallelogram are equal

7 0
3 years ago
A pew research Center project on the state of news media showed that the clearest pattern of news audience growth in 2012 came o
KengaRu [80]

Answer:

Step-by-step explanation:

Given that:

the sample proportion p = 0.39

sample size = 100

Then np = 39

Using normal approximation

The sampling distribution from the sample proportion is approximately normal.

Thus, mean \mu _{\hat p} = p = 0.39

The standard deviation;

\sigma = \sqrt{\dfrac{p(1-p)}{n} }

\sigma = \sqrt{\dfrac{0.39(1-0.39)}{100} }

\sigma = 0.048

The test statistics can be computed as:

Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}

Z = \dfrac{0.3 - 0.39 }{0.0488}

Z = -1. 8 4

From the z - tables;

P (\hat p \le 0.3 ) = P(z \le -1.84)

\mathbf{P (\hat p \le 0.3 ) = 0.0329}

(b)

Here;

the sample proportion = 0.39

the sample size n = 400

Since np = 400 * 0.39 = 156

Thus, using normal approximation.

From the sample proportion, the sampling distribution is approximate to the mean \mu_{\hat p} =  p = 0.39

the standard deviation \sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }

\sigma_{\hat p} = \sqrt{\dfrac{0.39 (1-0.39)}{400} }

\sigma_{\hat p} =0.0244

The test statistics can be computed as:

Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}

Z = \dfrac{0.3 - 0.39 }{0.0244}

Z = -3.69

From the z - tables;

P (\hat p \le 0.3 ) = P(z \le -3.69)

\mathbf{P (\hat p \le 0.3 ) = 0.0001}

(c) The effect of the sample size on the sampling distribution is that:

As sample size builds up, the standard deviation of the sampling distribution decreases.

In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion  that is less than 30% also decreases.

6 0
3 years ago
Evaluate the following.<br>||5-10| - | -10||​
ladessa [460]

Answer:

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Step-by-step explanation:

5 - 10 = -5

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2160/36 = 60 miles in one hour
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Y is in direct proportion to x. x = 25, y = 5. Find the value of y, if x = 9.​
Sholpan [36]

Answer:bh

345

Step-by-step explanation:

y is in direct proportion to x. x = 25, y = 5. Find the value of y, if x = 9.​

8 0
2 years ago
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