2 divided by ___=42 two divided by what equals 42?

Twenty seven less than eight times a number is equal to five. What is the number?

Korvikt [17]

<h3><u>The unknown number is equal to 4.</u></h3>

8x - 27 = 5

Add 27 to both sides.

8x = 32

Divide both sides by 8

x = 4

6 0

3 years ago

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What is the area of the rectangle, in square feet?<br>9 ft<br>20 ft

goblinko [34]

Answer:

180 Square Feet

Step-by-step explanation:

For Rectangle:

l = 9 ft

b = 20 ft

Area of Rectangle

$= l \times b \\ = 9 \times 20 \\ = 180 \:square \: feet$

3 0

2 years ago

xxTIMURxx [149]

Yesyesyesyes yesyeso online

8 0

3 years ago

Jack works as a waiter and is keeping track of the tips he earns daily. about how much does jack have to earn in tips on sunday

OLga [1]

A mean is an arithmetic average of a set of observations. The amount that Jack has to earn in tips on Sunday if he wants to average $19 a day is $25.

A mean is an arithmetic average of a set of observations. it is given by the formula,

$\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}$

As it is given that Jack makes $12 on Monday, $14 on Tuesday, $18 on Wednesday, $16 on Thursday, $26 on Friday and $22 on Saturday. And we need to know how much he should earn on Sunday, so the average is $19. Therefore, we can write,

$\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}$

$19 = \dfrac{12+14+18+16+26+22+x}{7}\\\\133 = 108 + x\\\\133-108=x\\\\x = 25$

Hence, the amount that Jack has to earn in tips on Sunday if he wants to average $19 a day is $25.

Learn more about Mean:

brainly.com/question/16967035

5 0

2 years ago

The weights of the fish in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. if 4 fish

Alexus [3.1K]

Since the sample standard deviation is now known, we use the z-score test. The formula is given as:

z= (X – μ) / (s / sqrt(n))

Where,

X = sample mean = 8.6 lb to 14.6 lb

μ = population mean = 11 lb

s = population standard deviation = 6

n = sample size = 4

1st: Calculating for z when x = 8.6 lb

z = (8.6 – 11) / (6 / sqrt4)

z = - 0.8

Using the standard distribution table for z:

Probability (x = 8.6 lb) = 0.2119

2nd: Calculating for z when x = 14.6 lb

z = (14.6 – 11) / (6 / sqrt4)

z = 1.2

Using the standard distribution table for z:

Probability (x = 14.6 lb) = 0.8849

Therefore the probability that the mean weight will be between 8.6 and 14.6 lb:

Probability (8.6 ≤ x ≤ 14.6 ) = 0.8849 - 0.2119

Probability (8.6 ≤ x <span>≤ 14.6 ) = 0.673 (ANSWER)</span>

8 0

3 years ago