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9 months ago

I need help on 3 the explanation is above on how to do it. NOT A TEST

Mathematics

1 answer:

3241004551 [841]9 months ago

3 0

64 people were surveyed and 16 of them chose Mystery, so the proportion of people who chose Mystery is given by:

$\frac{16}{64}=\frac{4\times4}{4\times16}=\frac{1}{4}$

Therefore, the answer is option a: 1/4

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Mandy has a 10.2-ounce container of mustard. She uses 130 of the mustard to put on her hot dog each time. How many ounces of mus

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Answer: it is 10 over 100

Step-by-step explanation:

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3 years ago

The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 othe

yawa3891 [41]

Solution :

Let the three places be 1, 2, 3, 4, 5, 6, 7, 8

a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2

= 14

[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]

Therefore the required probability is

$=\frac{14}{8!}$

= $\frac{14}{40320} = 0.000347$

b). The probability that the marketing director to be placed in the leftmost position is

$=\frac{7!}{8!}$

$=\frac{1}{8} = 0.125$

c). The two events are not independent because

$P(A \cap B) \neq P(A) \times P(B)$

$\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$

where A is the case a and B is the case b.

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3 years ago

The diagram shows corresponding lengths in two similar figures. Find the ratio of the areas of the two figures.

astra-53 [7]

Your answer should be D. 49.81

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2 years ago

Read 2 more answers

Write an equivalent expression of 16x - 24

telo118 [61]

Answer:

2x-3

Step-by-step explanation:

16/8=2

24/8=3

8 0

3 years ago

An island is 1 mi due north of its closest point along a straight shoreline. A visitor is staying at a cabin on the shore that i

Elanso [62]

Answer:

The visitor should run approximately 14.96 mile to minimize the time it takes to reach the island

Step-by-step explanation:

From the question, we have;

The distance of the island from the shoreline = 1 mile

The distance the person is staying from the point on the shoreline = 15 mile

The rate at which the visitor runs = 6 mph

The rate at which the visitor swims = 2.5 mph

Let 'x' represent the distance the person runs, we have;

The distance to swim = $\sqrt{(15-x)^2+1^2}$

The total time, 't', is given as follows;

$t = \dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}$

The minimum value of 't' is found by differentiating with an online tool, as follows;

$\dfrac{dt}{dx} = \dfrac{d\left(\dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}\right)}{dx} = \dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} }$

At the maximum/minimum point, we have;

$\dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} } = 0$

Simplifying, with a graphing calculator, we get;

-4.72·x² + 142·x - 1,070 = 0

From which we also get x ≈ 15.04 and x ≈ 0.64956

x ≈ 15.04 mile

Therefore, given that 15.04 mi is 0.04 mi after the point, the distance he should run = 15 mi - 0.04 mi ≈ 14.96 mi

$t = \dfrac{14.96}{6} +\dfrac{\sqrt{(15-14.96)^2+1^2}}{2.5} \approx 2..89$

Therefore, the distance to run, x ≈ 14.96 mile

6 0

2 years ago