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3 years ago

What is the original price of a basball bat that has now been discounted to $189

Mathematics

1 answer:

Marat540 [252]3 years ago

8 0

We have, 75% × x = 189

or,

75/100 × x = 189

Multiplying both sides by 100 and dividing both sides by 75,

we have x = 189 × 100/75

x = 252

Proof: 25% of 252 = 63.

252 - 63 = 189

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The measure of ∠1 = 188 172 94

yanalaym [24]

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

There is a cyclic quadrilateral.

As we know that "Sum of opposite angles in a cyclic quadrilateral is supplementary.":

so, it becomes,

$86^\circ+\angle 1=180^\circ\\\\\angle 1=180^\circ-86^\circ\\\\\angle 1=94^\circ$

Hence, the measure of ∠1 = 94°

Therefore, Third option is correct.

4 0

3 years ago

A Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer; a sample

8090 [49]

Answer:

Step-by-step explanation:

Step(i):-

Given first random sample size n₁ = 500

Given Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

First sample proportion

$p^{-} _{1} = \frac{65}{500} = 0.13$

Given second sample size n₂ = 700

Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.

second sample proportion

$p^{-} _{2} = \frac{133}{700} = 0.19$

Level of significance = α = 0.05

critical value = 1.96

Step(ii):-

Null hypothesis : H₀: There is no significance difference between these proportions

Alternative Hypothesis :H₁: There is significance difference between these proportions

Test statistic

$Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

where

$P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2} }{n_{1}+ n_{2} } = \frac{500 X 0.13+700 X0.19 }{500 + 700 } = 0.165$

Q = 1 - P = 1 - 0.165 = 0.835

$Z = \frac{0.13-0.19 }{\sqrt{0.165 X0.835(\frac{1}{500 } +\frac{1}{700 } )} }$

Z = -2.76

|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

Alternative hypothesis is accepted at 0.05 level of significance

Conclusion:-

There is there is a difference between these proportions at α = 0.05

3 0

3 years ago

Right 1/6 as a decimal

Simora [160]

Answer:

0.166667

Step-by-step explanation:

1/6 = 0.166667

3 0

2 years ago

Read 2 more answers

Find the height of this triangle.

MissTica

x^2 = 4^2 - 2^2

x^2 = 16 - 4

x^2 = 12

x = √12

x = 2√3

8 0

2 years ago

What is the slope of the line? -3 -1/3 1/3 3

Paul [167]

Answer:

The slope = Rise over run

Step-by-step explanation:

I would answer your question farther, but you didn't post a picture of the line.

determine two points and count from the left one to the right one. Rise is y so count how many up or down. Run is x so count how many left or right.

8 0

2 years ago