MATHEMATICS COLLEGE

5 bricks weigh 26 1/4 how much do 1 brick weigh

Answers

Answer 1

Answer:

Answer:

5 1/4

Step-by-step explanation:

5 1/4 + 5 1/4 + 5 1/4 + 5 1/4 + 5 1/4 = 6 1/4

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Please help!!! Will mark brainliest!!!!!!!! Dan wants to determine the probability that the republican on the ballot will be elected mayor of his town. He surveys a random sample of 25 people in the town who are registered to vote. Based on this data, the republican on the ballot has a 36% probability of being elected. Dan now wants to gauge the variation in predictions, to determine how accurate this probability may be. Which if the following would be the best method for him to do this?A) Ask the same 25 people he originally surveyed to make sure they are convinced of their choicesB) Survey several more random samples of 25 people each from people in the town who are registered to vote C) Survey serveral more random samples of 25 people each from the Republican voters in townD) Survey a random sample of 25 people who are registered to vote in another town

Select the PROPER Scientific Notation for the following value. 659,000,000,000 Question 1 options: 659 × 109 65.9 × 1010 6.59 × 1011 0.659 × 1012

Answers

The proper notation may depend on where you are. In the US, we like there to be one non-zero digit to the left of the decimal point, hence the appropriate form is ...

... 6.59×10¹¹

_____

Elsewhere, the "proper" form may require the first non-zero digit be placed to the right of the decimal point, as in 0.659×10¹². This is also the form used by some computer languages.

In Engineering usage, quite often the desired form is one that has the exponent be a multiple of 3, so the appropriate forms would be 659×10⁹ or 0.659×10¹².

Sometimes when you're doing problems using numbers in scientific notation, it can be convenient to scale the operands so the result comes out with no need for rescaling. For example, if you were to divide 100 by this number, you might write ...

... 100/(65.9×10¹⁰) ≈ 1.517×10⁻¹⁰

Without this "pre-scaling", you would get

... (10²)/(6.59×10¹¹) ≈ 0.1517×10⁻⁹ = 1.517×10⁻¹⁰

which requires rescaling the answer.

H= -16t^2+16t+192 When will the ball hit the ground?

Answers

Answer:

t = 4 s

Step-by-step explanation

We can infer the origin from the t⁰ term of the quadratic as being 192 feet above the ground. Initial velocity is 16 ft/s from the t¹ term, gravity is -32 ft/s² from the t² term

0 = -16t² + 16t + 192

0 = -t² + t + 12

0 = t² - t - 12

0 = (t - 4)(t + 3)

so either

t - 4 = 0

t = 4 s

t + 3 = 0

t = -3 s which we ignore as it occurs before the ball is released.

NBC News reported on May 2, 2013, that 1 in 20 children in the United States have a food allergy of some sort. Consider selecting a random sample of 15 children and let X be the number in the sample who have a food allergy. Then X ~ Bin(15, 0.05). (Round your probabilities to three decimal places.) (a) Determine both P(X ≤ 3) and P(X < 3). P(X ≤ 3) = P(X < 3) = (b) Determine P(X ≥ 4). P(X ≥ 4) = (c) Determine P(1 ≤ X ≤ 3). P(1 ≤ X ≤ 3) = (d) What are E(X) and σX? (Round your answers to two decimal places.) E(X) = σX = (e) In a sample of 90 children, what is the probability that none has a food allergy?

Answers

Answer:

a) P(X ≤ 3) = 0.9946

P(X < 3) = 0.9639

b) P(X ≥ 4) = 0.0054

c) P(1 ≤ X ≤ 3) = 0.5313

d) E(X) = 0.75

σX = 0.84

e) P(X=0) = 0.0099

Step-by-step explanation:

We have x: number in the sample who have a food allergy. As the sample is of n=15 and p=0.05, we have:

$X \sim Bin(15, 0.05)$

a) We have to determine P(X ≤ 3) and P(X < 3)

We can calculate P(X ≤ 3) as the sum of P(0), P(1), P(2) and P(3).

$P(x\leq 3)=\sum_(k=0)^3P(k)\n\n\nP(x=0) = \binom{15}{0} p^(0)q^(15)=1*1*0.4633=0.4633\n\nP(x=1) = \binom{15}{1} p^(1)q^(14)=15*0.05*0.4877=0.3658\n\nP(x=2) = \binom{15}{2} p^(2)q^(13)=105*0.0025*0.5133=0.1348\n\nP(x=3) = \binom{15}{3} p^(3)q^(12)=455*0.0001*0.5404=0.0307\n\n\nP(x\leq 3)=0.4633+0.3658+0.1348+0.0307=0.9946$

P(x<3) can be calculated from the previos result as:

$P(x<3)=P(X\leq3)-P(3)=0.9946-0.0307=0.9639$

b) We can calculate P(X ≥ 4) as:

$P(X\geq4)=1-P(X<4)=1-P(X\leq3)=1-0.9946=0.0054$

c) We can calculate P(1 ≤ X ≤ 3) as:

$P(1 \leq X \leq 3)=P(1)+P(2)+P(3)=0.3658+0.1348+0.0307=0.5313$

d) The expected value of a binomial variable is the product of the sample size n and the probability of success p:

$E(X)=np=15*0.05=0.75$

The standard deviation is calculates as:

$\sigma_x=√(np(1-p))=√(15*0.05*0.95)=√(0.7125) =0.84$

e) In this case, the sample size is n=90.

We can calculate the probability that none has a food allergy as:

$P(x=0) = \binom{90}{0} p^(0)q^(90)=0.95^(90)=0.0099$

4ab-3a+3bx-2ab anyone know the answer to this problem?

Answers

Answer:

-3a+3bx+2ab

Step-by-step explanation:

A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket? 35 dollars (0.08) 35 dollars (8) 35 dollars (0.08) + 35 dollars 35 dollars (8) + 35 dollars

Answers

Answer:

35 dollars (0.08)

Step-by-step explanation:

35 + 8%, taxes are most likely in cents

Answer:

35 dollars (0.08)

Step-by-step explanation:

A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket?

A.35 dollars (0.08)

B.35 dollars (8)

C.35 dollars (0.08) + 35 dollars

D.35 dollars (8) + 35 dollars

because i just took the test and i got 94.3 and this question is right.

Hopefully this helps.

The rectangle shown as a perimeter of 70 cm and the given area. It’s length is 8 more than twice it’s width. Write and solve a system of equations to find the dimensions of the rectangle. The length of the rectangle is ___cm and the width of the rectangle is ___cm.