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4 years ago

What is the positive solution of x2 – 36 = 5x?

Mathematics

2 answers:

N76 [4]4 years ago

8 0

Answer:the answer is 9

Step-by-step explanation:

jeka57 [31]4 years ago

3 0

First, set this equation equal to 0 by getting 5x over to the other side by subtracting it both sides.

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The computers of nine engineers at a certain company are to be replaced. Four of the engineers have selected laptops and the oth

Gala2k [10]

Answer:

(a) There are 70 different ways set up 4 computers out of 8.

(b) The probability that exactly three of the selected computers are desktops is 0.305.

Step-by-step explanation:

Of the 9 new computers 4 are laptops and 5 are desktop.

Let X = a laptop is selected and Y = a desktop is selected.

The probability of selecting a laptop is = $P(Laptop) = p_{X} = \frac{4}{9}$

The probability of selecting a desktop is = $P(Desktop) = p_{Y} = \frac{5}{9}$

Then both X and Y follows Binomial distribution.

$X\sim Bin(9, \frac{4}{9})\\ Y\sim Bin(9, \frac{5}{9})$

The probability function of a binomial distribution is:

$P(U=k)={n\choose k}\times(p)^{k}\times (1-p)^{n-k}$

(a)

Combination is used to determine the number of ways to select k objects from n distinct objects without replacement.

It is denotes as: ${n\choose k}=\frac{n!}{k!(n-k)!}$

In this case 4 computers are to selected of 8 to be set up. Since there cannot be replacement, i.e. we cannot set up one computer twice or thrice, use combinations to determine the number of ways to set up 4 computers of 8.

The number of ways to set up 4 computers of 8 is:

${8\choose 4}=\frac{8!}{4!(8-4)!}\\=\frac{8!}{4!\times 4!} \\=70$

Thus, there are 70 different ways set up 4 computers out of 8.

(b)

It is provided that 4 computers are randomly selected.

Compute the probability that exactly 3 of the 4 computers selected are desktops as follows:

$P(Y=3)={4\choose 3}\times(\frac{5}{9})^{3}\times (1-\frac{5}{9})^{4-3}\\=4\times\frac{125}{729}\times\frac{4}{9}\\ =0.304832\\\approx0.305$

Thus, the probability that exactly three of the selected computers are desktops is 0.305.

(c)

Compute the probability that of the 4 computers selected at least 3 are desktops as follows:

$P(Y\geq 3)=1-P(Y$

Thus, the probability that at least three of the selected computers are desktops is 0.401.

6 0

3 years ago

#17: If the area of a rectangle measures 20 square inches, the side lengths must

Karo-lina-s [1.5K]

A counterexample could be 2 inches and 10 inches.

4 0

3 years ago

A security expert claims that exactly 13% of all homeowners have a home security alarm. State H0 and Ha in words and in symbols

soldi70 [24.7K]

Answer:

Two tailed

Step-by-step explanation:

Given that a security expert claims that exactly 13% of all homeowners have a home security alarm.

Here we have to check whether the contention of security expert is correct or not

The test is to be done for the proportion of homeowners who have a home security alarm to total homeowners.

Let p be the proportion.

For this we set up hypotheses as:

$H_0 = p = 13%=0.13\\H_a: p \neq 0.13$

This is a two tailed test

Because alternate is for not equal to. If alternate is for > or < we say one tailed and if not equal to we say two tailed.

3 0

3 years ago

Jennifer is shopping with her mother. They pay $2 per pound for tomatoes at the vegetable stand. how much would it cost for 56 p

Alenkinab [10]

Answer:

It would cost $112 for 56 pounds of tomatoes.

Step-by-step explanation:

$2 x 56 = $112

4 0

3 years ago

Read 2 more answers

Find the rate of change of the following table.

Serjik [45]

Answer:

$\frac{1}{3}$

Step-by-step explanation:

The rate of change is measured by the slope of the line in this linear table.

Calculate the slope m using the slope formula

m = $\frac{y_{3}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (3, 2) ← 2 ordered pairs from the table

m = $\frac{2-0}{3+3}$ = $\frac{2}{6}$ = $\frac{1}{3}$ ← rate of change

7 0

3 years ago