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2 years ago

Six runners are entered in a race. Assume there are no ties. In how many ways can first and second places be awarded?

Mathematics

1 answer:

Stells [14]2 years ago

7 0

Answer:

the karla question. the answer is unfair

Step-by-step explanation:

because the multiple of 3 is 6

but there is no multiple of 4

so therefore it is not fair

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Christopher is going to install wallpaper on the four walls of his room. Two of the walls are 14 feet long by 9 feet high. The o

Aliun [14]

Given:
2 walls - 14ft by 9ft
2 walls - 20ft by 9ft

Wall 1 & 2 = 14ft * 9ft = 126 ft² x 2 = 252 ft²
Wall 3 & 4 = 20ft * 9ft = 180 ft² x 2 = 360 ft²

Total area = 252 ft² + 360 ft² = 612 ft²

Cost of 1 single roll: $20
612 ft² ÷ 18 ft² = 34 rolls * $20 = $680

Cost of double roll: $40
612 ft² ÷ 54 ft² = 11.33 rolls ⇒ 12 double rolls
12 * $40 = $480

If Christopher opts for 1 single roll of wallpaper, he'll spend $680.
If he opts for double roll of wallpaper, he'll spend $480.

Double roll of wallpaper is the cheaper option. He'll save $200 if he'll buy the double roll of wallpaper.

4 0

3 years ago

Read 2 more answers

80. At the gym Suppose that 10% of adults belong to

maria [59]

Answer:

4% of all adults go to a health club at least twice a week

Step-by-step explanation:

the proportion of adults who belong to health clubs is 10% that is 0.10

the proportion of these adults (health club members) who go to the club at least twice a week is 40%, which is 0.40.

Thus, the proportion of all adults who go to a health club at least twice a week is

0.10 × 0.40 = 0.04, that is 4%

6 0

2 years ago

The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization’s staff of

pishuonlain [190]

Answer:

Null Hypothesis, $H_0$ : p $\geq$ 45%

Alternate Hypothesis, $H_A$ : p < 45%

Step-by-step explanation:

We are given that the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The collected random sample of size 50 showed that only 18 were women.

Let p = proportion of women in similar sales positions across the country in 2004

So, Null Hypothesis, $H_0$ : p $\geq$ 45%

Alternate Hypothesis, $H_A$ : p < 45%

Here, null hypothesis states that the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.

On the other hand, alternate hypothesis states that the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The test statistics that would be used here is One-sample z proportion test statistics, i.e;

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

Hence, the above hypothesis is appropriate for the given situation.

4 0

3 years ago

Which equation has a graph that passes through the points at (0,5) and (-3,-4)?

Roman55 [17]

Answer:

$y = 3x + 5$

Step-by-step explanation:

We are asked the equation of the graph which passes through the points at (0,5) and (-3,-4).

Now, we know that the equation of a straight line passing through the points ( $x_{1},y_{1}$ ) and ( $x_{2},y_{2}$ ) is given by

$\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}$ .

So, in our case ( $x_{1},y_{1}$ ) ≡ (0,5) and ( $x_{2},y_{2}$ ) ≡ (-3,-4)

Therefore, the equation of the straight line will be

$\frac{y - 5}{5 - (- 4)} = \frac{x - 0}{0 - (- 3)}$

⇒ $y - 5 = \frac{9}{3}x$

⇒ $y = 3x + 5$ (Answer)

4 0

3 years ago

What is the GCF of 8x^3y^2+20x^2y^4?

DochEvi [55]

Answer:

B) 4x^2y^2

Step-by-step explanation:

8x^3y^2+20x^2y^4

4(2x^3y^2+5x^2y^4)

4x^2(2xy^2+5y^4)

4x^2y^2(2x+5y^2)

So the answer is B

5 0

3 years ago