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3 years ago

What is the value of n?

Mathematics

1 answer:

Archy [21]3 years ago

7 0

the theory is ab=cd where the lines across form eachother are a and b and the other two lines are a and d

a=7

b=n+4

c=5

d=n+8

7(n+4)=5(n+8)

7n+28=5n+40

2n+28=40

2n=12

n=6

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Check if the following pairs of fractions are equivalent.

d1i1m1o1n [39]

Answer:

They are equal

Step-by-step explanation: 3/3 = 1

11/11 = 1

Hence, they are equal

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3 years ago

The heights of women in the USA are normally distributed with a mean of 64 inches and a standard deviation of 3 inches.

Rainbow [258]

Answer:

(a) 0.2061

(b) 0.2514

Step-by-step explanation:

Let <em>X</em> denote the heights of women in the USA.

It is provided that <em>X</em> follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.

(a)

Compute the probability that the sample mean is greater than 63 inches as follows:

$P(\bar X>63)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{63-64}{3/\sqrt{6}})\\\\=P(Z>-0.82)\\\\=P(Z$

Thus, the probability that the sample mean is greater than 63 inches is 0.2061.

(b)

Compute the probability that a randomly selected woman is taller than 66 inches as follows:

$P(X>66)=P(\frac{X-\mu}{\sigma}>\frac{66-64}{3})\\\\=P(Z>0.67)\\\\=1-P(Z$

Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.

(c)

Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:

$P(\bar X>66)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{66-64}{3/\sqrt{100}})\\\\=P(Z>6.67)\\\\\ =0$

Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.

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3 years ago

For every 1 litre of water used to make a medicine, 199 ml of sucrose and 47 ml of saline solution are used. Express the amount

deff fn [24]

Answer:

water : sucrose : saline = 1000 : 199 : 271

Step-by-step explanation:

Given Information:

water = 1 litre

Process:

convert everything to mL (same units)
1 litre = 1000 ml
water = 1 litre = 1000 ml
water : sucrose : saline = 1000 : 199 : 271

4 0

3 years ago

Identify the measure of arc HD◠. HELP ASAP!!

horsena [70]

In the triangle, the remaining angle has measure $(180-92-38)^\circ=50^\circ$ . Then by the intersecting secants theorem,

$50^\circ=\dfrac{102^\circ-m\widehat{HD}}2\implies\boxed{m\widehat{HD}=2^\circ}$

(assuming 102º refers to the measure of arc PK)

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3 years ago

A boat travels 12 Mph in still water. It can travel 18 miles upstream in the same time that it can travel 24 miles downstream. W

quester [9]

Answer:

The current of the water is 1.714 mph.

Step-by-step explanation:

Let the boat in t hours can travel 18 miles upstream, and 24 miles downstream.

Therefore, if the speed of the boat in still water is 12 mph and that of water is x mph , then we can write

$\frac{18}{t} = 12 - x$ ........ (1) and

$\frac{24}{t} = 12 + x$ ............ (2)

Now, adding those two equations (1) and (2) we get,

$\frac{18}{t} + \frac{24}{t} = 24$

⇒ t = 1.75 hours.

Now, from equation (1) we get

$\frac{18}{1.75} = 12 - x$

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Therefore, the current of the water is 1.714 mph. (Answer)

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3 years ago