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aleksley [76]
2 years ago
9

The school choir has 84 members. The ratio of girls to boys in the color is 3: 4. How many members are girls?

Mathematics
1 answer:
ruslelena [56]2 years ago
7 0
3:4 of 84, means  "3 fourth" of 84.

To calculate " 3 fourth" of 84:

i) we divide 84 by 4, that is 84/4=21,

ii) we multiply the result of the division by 3:    21*3=63


Answer: 63 members of the choir are girls.


Remark: whenever we want to find a/b or "something":

i) divide "something" by b
ii) multiply the result by a


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Let h(x)=505.5+8e−0.9x . What is h(5) ? rounded to the nearest tenth. any help would be great
Naddik [55]
For this case, the first thing we are going to do is rewrite the function.
 We have then:
 h (x) = 505.5 + 8 * exp (-0.9 * x)
 We evaluate the value of x = 5 in the function.
 We have then:
 h (5) = 505.5 + 8 * exp (-0.9 * 5)
 h (5) = 505.588872
 round to the nearest tenth:
 h (5) = 505.6
 Answer:
 
the value of h (5) is:
 
h (5) = 505.6
3 0
2 years ago
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Consider sampling heights from the population of all female college soccer players in the United States. Assume the mean height
BARSIC [14]

Answer:

B) .35

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem:

\sigma = 3.5, n = 100

Then

s = \frac{\sigma}{\sqrt{n}}

s = \frac{3.5}{\sqrt{100}}

s = 0.35

So the correct answer is:

B) .35

7 0
2 years ago
An acute triangle has two sides measuring 8 cm and 10 cm . What is the best representation of the possible range of values for t
Mekhanik [1.2K]

Answer:

the right answer is 2 < s< 18

Step-by-step explanation:

The Third side of the triangle must be greater than the difference of the other two sides which is 10 -8= 2 and smaller than the sum of the other two sides of the triangle which is 10+8= 18.

so third side should be greater than 2 and less than 18.

So right answer is 2 < s< 18

5 0
2 years ago
Jaxon and Isaac live different directions from the city center. Jaxon lives 10 blocks east and 5 blocks north. Isaac lives 8 blo
givi [52]

Answer:

Step-by-step explanation:

As shown in the figure attached Jaxon is 10 blocks east and 5 blocks north.

So x-coordinates of Jaxon will be 10 units and y-coordinates will be 5 units.

and coordinates will be (10,5)

Similarly coordinates of Isaac will be defined by his distance towards west and distance towards south.

So x-coordinates will be 8 units and y-coordinates will be 15 units.

Therefore, coordinates of Isaac will be (-8,-15).

4 0
2 years ago
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A customer borrowed $2000 and then a further $1000 both repayable in 12 months. What should he have saved if he had taken out on
Neporo4naja [7]

Answer:

a. $60

Step-by-step explanation:  

We will use simple interest formula to solve our given problem.

A=P(1+rt), where

A= Amount after t years.

P= Principal amount.

r= Interest rate in decimal form.      

t= Time in years.

Let us find amount of loans repayable after 12 months for taking two amounts of $2000 and $1000.

As $2000 and $1000 are less than 2500, so the rate of loan will be 10%.

10\%=\frac{10}{100}=0.10

12 months = 1 year.

A=2000(1+0.10\times 1)

A=2000(1+0.10)

A=2000(1.10)

A=2200

Now let us find amount repayable after 12 months for borrowing $1000.

A=1000(1+0.10\times 1)

A=1000(1+0.10)

A=1000(1.10)

A=1100

Adding these amounts we will get total repayable amount after 12 months for borrowing $2000 and $1000 separately.

\text{Amount repayable for borrowing two separate amounts}=2200+1100=3300

Now let us find repayable amount after 12 months for taking 1 loan. As $3000 is between $2501 and $7500, so rate of loan will be 8%.

8\%=\frac{8}{100}=0.08

A=3000(1+0.08\times 1)

A=3000(1+0.08)

A=3000(1.08)

A=3240

Now let us find difference between both repayable loan amounts.

\text{Difference between both repayable loan amounts}=3300-3240

\text{Difference between both repayable loan amounts}=60

Therefore, the customer should have saved $60, if he had taken out one loan for $3000 and option a is the correct choice.

6 0
2 years ago
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