MATHEMATICS COLLEGE

What is the sum of prime numbers between 40 and 56

Answers

Answer 1

Answer:

Answer:

184

Step-by-step explanation:

The prime numbers between 40 and 56 are 41, 43, 47, and 53.

Add the prime numbers.

41 + 43 + 47 + 53

= 184

Answer 2

Answer:

Answer:

184

Step-by-step explanation:

Prime numbers between 40 and 56: 41, 43, 47, 53.

41+43+47+53=

84+47+53=

131+53=

184

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What is the solution to the equation 9x+27=9( x+2) +9

Answers

Let's solve the equation:

9x + 27 = 9 ( x + 2 ) + 9 ← Distribute 9 to the x and 2

9x + 27 = 9x + 18 + 9 ← Combine like terms

9x + 27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x

0 = 0

{Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.}

hope this helps..........

Answer:

x=1

Step-by-step explanation:

9x+27=9(x+2)+9

9x+27=9x+18+9

9x+27=9x+27

9x=9x

x=1

I need help please and fast

Answers

Answer:

20%

Step-by-step explanation:

The reason it is 20% is due to the fact that if you put it in a form showing 250/250 = 100/100 and put another proportional rate underneath it showing 200/250 = x/100, you would have to multiply the numerator of the fraction on the left by the denominator of the fraction on the right to get 20000. Now you divide 250 from 20000 and get x for 80, resulting in 80/100 or 80%. All you have to do now is subtract 100-80, which equals 20, resulting in 20%.

Hope that helps!! It's my first time in answering so, ya. ;D goodluck!

it’s 20% like the person said on top give that person brainliest lol

Which could be the first step in simplifying this expression? Check all that apply.(x cubed x Superscript negative 6 Baseline) squared
(x Superscript negative 18 Baseline) squared
(x Superscript negative 3 Baseline) squared
(x Superscript negative 2 Baseline) squared
x Superscript 6 Baseline x Superscript negative 12 Baseline
x Superscript 5 Baseline x Superscript negative 4

Answers

Answer:

The answer is C, D, E

Step-by-step explanation:

ON EDGE 2021

Answer:

I think that the answers are B and D.

Step-by-step explanation:

(x^-3)^2

x^6 x^-12

I'm so sorry if it's wrong.

The floor of a shed given on the right has an area of 44 square feet . The floor is in the shape of a rectangle whose length is 3 less than twice the width. Find the length and width of the floor of the shed.

Answers

Answer:

The length and width of the floor of the shed are 8 feet and 5.5 feet, respectively.

Step-by-step explanation:

Given that the shape of the shed is a rectangle, the expression for the area is:

$A = w \cdot l$

Where $w$ and $l$ are the width and length of the shed, measured in feet. In addition, the statement shows that $l = 2\cdot w - 3\,ft$ . Then, the equation of area is expanded by replacing length:

$A = w\cdot (2\cdot w - 3)$

$A = 2\cdot w^(2) - 3\cdot w$

If $A = 44\,ft^(2)$ , then, a second-order polynomial is formed:

$2\cdot w^(2)-3\cdot w - 44 = 0$

The roots of this equation are found via General Equation for Second-Order Polynomials:

$w_(1) = (11)/(2)\,ft$ and $w_(2) = -4\,ft$

Only the first roots is a physically reasonable solution. Then, the length of the shed is:

$l = 2\cdot \left((11)/(2)\,ft \right)-3\,ft$

$l = 8\,ft$

The length and width of the floor of the shed are 8 feet and 5.5 feet, respectively.

Suppose human weights are normally distributed with mean 175 and standard deviation 36 pounds. A helicopter is evacuating people from a building surrounded by zombies, and this helicopter can fit 9 people and with a maximum weight of 1800 pounds, i.e., an average of 200 pounds per person. If 9 people are randomly chosen to be loaded on this helicopter, what is the probability that it can safely lift off (i.e., the average weight of a person in the helicopter is less than 200)?

Answers

Answer:

$P(\bar X <200)=P(Z<(200-175)/((36)/(√(9)))=2.083)$

And using a calculator, excel or the normal standard table we have that:

$P(Z<2.083)=0.981$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(175,36)$