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3 years ago

What is answer for b the variable

Mathematics

1 answer:

borishaifa [10]3 years ago

6 0

Salutations!

$-35 = 7b$

Isolate the number

$-35/7 = b$

$-5 = b$

$b$ is equal to $-5$

Hope I helped (:

Have a great day!

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5^x+2 + 6^x+1 <br> Solve for x

zzz [600]

5^x+6^x+3
^ means the x should be up

6 0

3 years ago

Probability maths question . need help asap

BaLLatris [955]

Answer:

a) 1/22

b) 3/44

c) 3/11.

Step-by-step explanation:

a).

Prob(picking a blue first) = 5/12.

Prob(picking a yellow next) = 4/11 ( as it is without replacement)

Prob(purple next) = 3/10

Probability of picking these in this order = 5/12 * 4/11 * 3/10

= 1/22 (answer).

Note the probabilities are multiplied because the 3 events are independent.

Prob(all the same colour) = Prob(All are blue) + Prob(all are yellow) + Prob ( All are purple)

Prob(All are blue) = 5/12 * 4/11 * 3/10 = 1/22

Prob(all are yellow) = 4/12 * 3/11 * 2/10 = 1/55

Prob(all purple) = 3/12 * 2/11 * 1 /10 = 1/220

So probability there are all the same colour = the sum of the above

= 3/44 (answer).

c) I take this to mean that all 3 are a different colour.

This will be the number of combinations of blue, yellow and purple possible which is 3! = 6.

So the answer is 6 * 1/22 = 3/11.

6 0

3 years ago

When taking a sample from a population, which of the following is true?

salantis [7]

Answer:

The larger the number of items in the sample, the more closely the distribution of sample items will follow a bell-shaped curve

Step-by-step explanation:

The question is about the distribution of the sample

The sampling distribution, also called the distribution of the sample mean is the distribution for many samples drawn form population at random for large sizes.

As per central limit theorem, if samples of sufficiently large size to represent the population is drawn from the population, the sample means of all sample will follow a normal distribution and hence bell shaped.

So from the options we say a is incorrect because not always

b is incorrect because there is no mention about the chance.

c is incorrect because when we use sample variance we use t test

Option d is correct.

The larger the number of items in the sample, the more closely the distribution of sample items will follow a bell-shaped curve

7 0

3 years ago

Mr. Crow, the head groundskeeper at High Tech Middle School, mows the lawn along the side of the gym. The lawn is rectangular, a

tia_tia [17]

Answer: The dimension of the lawn = 85 × 40

Area of the lawn = 3250 square feet

Step-by-step explanation:

Let x represents the width of the rectangle,

Then According to the question,

The length of the rectangle = 2 x + 5

Also it is given that the perimeter of the rectangle = 250 feet.

But we know that the perimeter of the rectangle = 2 × ( length + width)

Thus, the perimeter of the rectangle = 2( 2x+5+x) = 2(3x+5) = 6x+10

If x = 30, the perimeter of the rectangle = 6 × 30 + 10 = 190 < 250

Thus, x ≠ 10.

If x = 50, the perimeter of the rectangle = 6 × 50 + 10 = 310 > 250

Thus, x ≠ 50

If x = 40, the the perimeter of the rectangle = 6 × 40 + 10 = 250 = 250

Thus, x = 40

Therefore, the width of the rectangle, x = 40 feet.

And, the length of the rectangle, 2 x + 5 = 2 × 40 + 5 = 85 feet.

1) The dimension of the rectangle = 85 × 40

2)The area of the rectangle = length × width = 85 × 40 = 3250 square feet.

3 0

4 years ago

The sum of x and 9 is divided by 2 that quantity is equal to 3x

nikitadnepr [17]

The sum of x and 9 divided by 2 is equal to 3x

(x + 9)/2 = 3x

Note the equal sign, what you do to one side, you do to the other. First, multiply 2 to both sides

(x + 9)/2(2) = 3x(2)

x + 9 = 6x

Subtract x from both sides

x (-x) + 9 = 6x(-x)

9 = 5x

Isolate the x. Divide 5 from both sides

9/5 = 5x/5

x = 9/5

9/5 is your answer for x

hope this helps

8 0

3 years ago