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3 years ago

Please help! 20 points!!!

Mathematics

2 answers:

KonstantinChe [14]3 years ago

8 0

Answer:

SOLUTION STEPS

+−6

Multiply 6 and 8 to get 48.

48+5

−

6×3+1

Add 48 and 5 to get 53.

−

6×3+1

Multiply 6 and 3 to get 18.

−

18+1

Add 18 and 1 to get 19.

−

Least common multiple of 8 and 3 is 24. Convert

and

to fractions with denominator 24.

159

−

152

Since

159

and

152

have the same denominator, subtract them by subtracting their numerators.

159−152

Subtract 152 from 159 to get 7.

Step-by-step explanation:

devlian [24]3 years ago

6 0

Answer:

$\frac{7}{24}$

Step-by-step explanation:

$6 \frac{5}{8} + \bigg( - 6 \frac{1}{3} \bigg ) \\ \\ = 6 \frac{5}{8} - 6 \frac{1}{3} \\ \\ = \frac{6 \times 8 + 5}{8} - \frac{6 \times 3 + 1}{3} \\ \\ = \frac{48 + 5}{8} - \frac{18 + 1}{3} \\ \\ = \frac{53}{8} - \frac{19}{3} \\ \\ = \frac{53 \times 3 - 19 \times 8}{8 \times 3} \\ \\ = \frac{159 - 152}{24} \\ \\ = \frac{7}{24}$

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Answer:

4/3*100^3*π

Step-by-step explanation:

V = 4/3*π*r^3

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3 years ago

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A manufacturer of televisions subjects the equipment to a comprehensive testing process for all essential functions before the t

Scorpion4ik [409]

Answer:

The probability is $P(X \le 9) =0.9138$

Step-by-step explanation:

From the question we are told that

The probability of the television passing the test is p = 0.95

The sample size is n = 10

Generally the comprehensive testing process for all essential functions 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 probability that at least 9 pass the test is mathematically represented as

$P(X \le 9) = P(X = 9) + P(X = 10 )$

=> $P(X \le 9) = [^{10}C_9 * (0.95)^9 * (1- 0.95)^{10-9}]+ [^{10}C_{10} * {0.95}^{10} * (1- 0.95)^{10-10}]$

=> $P(X \le 9) = [10 * 0.6302 * 0.05 ]+ [1 *0.5987 * 1 ]$

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8 0

3 years ago

How many models of 100 do you need to model 3200 explain

rusak2 [61]

32 models need to make model of 3200.

Given that a 1 model contain 100.

Two series of numbers, usually empirical data, that are proportional or proportional if their respective elements are in constant proportion, called the scaling factor or the rate constant.

One model has 100 elements.

Now, we have to find how many model contains 3200 elements.

So, 1 model=100 elements

n model =3200 elements

We will write this in proportion as

1/n=100/3200

Applying the cross multiply, we get

3200×1=n×100

Divide both sides with 100, we get

3200/100=100n/100

3200/100=n

32=n

Hence, the 32 models contain 3200 elements when one contain 100 elements.

Learn more about proportional from here brainly.com/question/23536327

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2 years ago

If DF=78, DE=5x-9, and EF=2x+10, find DE.

Kazeer [188]

Given that E is a point between Point D and F, the numerical value of segment DE is 46.

<h3>What is the numerical value of DE?</h3>

Given the data in the question;

E is a point between point D and F.
Segment DF = 78
Segment DE = 5x - 9
Segment EF = 2x + 10
Numerical value of DE = ?

Since E is a point between point D and F.

Segment DF = Segment DE + Segment EF

78 = 5x - 9 + 2x + 10

78 = 7x + 1

7x = 78 - 1

7x = 77

x = 77/7

x = 11

Hence,

Segment DE = 5x - 9

Segment DE = 5(11) - 9

Segment DE = 55 - 9

Segment DE = 46

Given that E is a point between Point D and F, the numerical value of segment DE is 46.

Learn more about equations here: brainly.com/question/14686792

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1 year ago