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denis-greek [22]

3 years ago

11

Work out the following and give your answer in it's simplest form:

2 answers:

Pavel [41]3 years ago

8 0

Answer:

$\frac{9}{10}$ ÷ $\frac{3}{5}$

=3/5

=1.5

-BARSIC- [3]3 years ago

5 0

Here's your answer!! hopefully it's readable! have a great day :)

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What’s the volume of the composite figure of the triangle? 4x8x12

lilavasa [31]

Answer:

384

Step-by-step explanation:

All you have to do is multiply the three numbers

5 0

3 years ago

1. The probability of telesales representative making a sale on a customer call is 0.15.

Mumz [18]

Answer:

1c

$n = 33$

1d

$n = 19$

Step-by-step explanation:

From the question we are told that

The probability of telesales representative making a sale on a customer call is $p = 0.15$

The mean is $\mu = 5$

Generally the distribution of sales call made by a telesales representative follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

Generally the mean is mathematically represented as

$\mu = n* p$

=> $5= n * 0.15$

=> $n = 33$

Generally the least number of calls that need to be made by a representative for the probability of at least 1 sale to exceed 0.95 is mathematically represented as

$P( X \ge 1) = 1 - P( X < 1 ) > 0.95$

=> $P( X \ge 1) = 1 - P( X =0 ) > 0.95$

=> $P( X \ge 1) = 1 - [ ^{n}C_0 * (0.15 )^0 * (1- 0.15)^{n-0}] > 0.95$

=> $1 - [1 * 1* (0.85)^{n}] > 0.95$

=> $[(0.85)^{n}] > 0.05$

taking natural log of both sides

$n = \frac{ln(0.05)}{ln(0.85)}$

=> $n = 19$

3 0

2 years ago

What equation does the model represent

lara [203]

5 whole and 1/6 hope it help you

8 0

3 years ago

A baker is using a cookie that calls for 2 1/4 cups of flour to yield 36 cookies, how much flour will the baker neeto to make 90

andre [41]

Answer:

$5 \frac{5}{8}$ cups

Step-by-step explanation:

Given: A baker is using a cookie that calls for 2 $\frac{1}{4}$ cups of flour to yield 36 cookies.

To find the number of flour will the baker need to make 90 cookies, we form a proportion.

Let's convert 2 $\frac{1}{4}$ to improper fraction.

$2\frac{1}{4} = \frac{(2*4) + 1}{4} = \frac{9}{4}$

Let "x" be the amount flour to make 90 cookies

<u>Amount of Flour</u> <u>Number of cookies</u>

$\frac{9}{4}$ 36

x 90

Now form a proportion.

$\frac{\frac{9}{4}}{x} = \frac{36}{90}$

Now let's cross multiply, we get

$\frac{9}{4} *90 = 36x\\\$

$\frac{810}{4} = 36x\\x = \frac{810 }{4*36} \\x = \frac{810}{144} \\\\x = 5 \frac{90}{144}$

Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get

x = $5 \frac{5}{8}$ cups

So the baker needs $5 \frac{5}{8}$ cups to make 90 cookies.

3 0

3 years ago

Find m AB and CD intersect at point E

Aleks04 [339]

Answer is x=12 so can is 51(c)

8 0

2 years ago