What is the height of a
triangle with area 893 square
inches and base 38 inches?

Answers

Answer 1
Answer: Here is the answer.
Answer 2
Answer:

Answer:

47

Step-by-step explanation:

Start by drawing the figure and labeling it with the given information. We are looking for the height of a triangle. The formula for the area of a triangle is A=12bh, where b is the length of the base and h is the height of the triangle. Substituting in the given information and solving for h, we find

A8938931947=12bh=12(38)(h)=h=h

The height is 47 inches.


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2) Mr. Riley dove off a cliff that was 30 feet above the surface of the water and descended a total of 100 feet. Which of the equations below can be used to determine his elevation at the bottom of his dive?a) 30 + 100 b) 30-100 C) 30 + (-100) d) Both b and c​

A. X=1
B. X=3
C. X= 1,3
D. X= 0,3

Answers

The answer is A, X=1
Hope this helps
Ccccccccccccccccccccc

Write an equation of a line that passes through (-3,1), perpendicular to Y=-3x-3

Answers

Answer:

4

Step-by-step explanation:

  • To be perpendicular, the product of the slope is -1.
  • (x,y) Substituting the coordinates.
  • y= 1/3(x+3) + 1
  • y= 1/3x +2

Answer:

your answer is correct

Step-by-step explanation:

the first one is the correct answer

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

In what order must you preform the operations indicated by a negative rational exponent?

Answers

The operations referred to are likely

• raising to a power (the numerator of the exponent)

• taking a root (the denominator of the exponent)

• finding a reciprocal (because the exponent is negative)

They can be performed in any convenient order. It often works well to deal with small positive integers, so if one or more of these operations lets you proceed with a small positive integer for the remaining operations, that would be the one you'd perform first.

_____

A computer performing operations with a negative rational exponent may do so using logarithms. That is, the log of the base will be multiplied by the exponent, then the antilog found. The exponent itself will likely be treated as a floating point number, unless coding specifically indicates otherwise.

For each pair of lines, determine whether they are parallel, perpendicular, or neither Line1 : 2y=5x+7
Line2: 4x+10y=8
Line3: y=5/2x-4

Answers

Answer: Lines 1 &3 are parallel with each other and line 2 is neither

Step-by-step explanation:

After singling out y for lines 1 & 2 you see they have the same slope 5/2 x

But for the second line it intersects worth both lines but does not make a 90 degree angle

A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk? To answer the question, you need to write a conversion factor to convert: The correct conversion factor has the inches in the: The correct conversion factor has the feet in the: . The tortoise can walk feet per second:

Answers

Answer:

A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?

To answer the question, you need to write a conversion factor to convert  

inches to feet

The correct conversion factor has the inches in the  

denominator

The correct conversion factor has the feet in the  

numerator

.

The tortoise can walk  

0.25

feet per second.

by-step explanation:

hope this helps :)

Answer:

The tortoise can walk 0.25 feet per second.

Step-by-step explanation:

Convert inches to feet