MATHEMATICS COLLEGE

URGENT TEST I HAVE!!!!

Answers

Answer 1

Answer:

Answer:

I think they are asking the area of the triangle so we are going with that.

Step-by-step explanation:

Easiest way to do this is find the area of the incomplete square, and then cut that in half for the triangle.

so it is 4 cm wide

and 8 cm tall

length x width = area

8 x 4 = 32

32/2 = 16

So your answer should be 16 cm

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Which values from the specified set make up the solution set of the inequality?4n<16 ; {1,2,3,4}Select ALL OF THE correct answers.A. 1B. 2C. 3D. 4
Find the value of the expression below.
Suppose that the maximum weight that a certain type of rectangular beam can support varies inversely as it’s length and jointly as its width and the square of its height. Suppose also that a beam 5 inches wide, 2 inches high and 10 feet long can support a maximum weight of 8 tons. What is the maximum weight that could be supported by a beam that is 6 inches wide, 2 inches high, and 24 feet long
Please help with with number 3,4 and e-g please and also explain how you got the answer

A ladder leans against a building that angle of elevation of the latter is 70° the top of the ladder is 25 feet from the ground. to the nearest 10th of a foot how far from the building is the base of the ladder a. 20.5 feet b. 30.5 feet C.32.3’ or D.39.5 feet

Answers

Answer:

a. 20.5

Step-by-step explanation:

because this will form a right triangle we can use tan (opposite over adjacent) so an equation we could set up would be tan(70)=25/x

therefore we can just solve the equation which would give us 20.45. so if we round it the answer would be a

Answer:

The correct answer option is a. 20.5 feet.

Step-by-step explanation:

We are given that the angle of elevation of the ladder is 70° and the height of the ladder is 25 feet from the ground.

We are to find the distance of the building from the base of the ladder.

For this, we will use tan:

$tan 70 = \frac { 2 5 } { x }$

$x = \frac { 2 5 } { tan 7 0 }$

x = 20.5 feet

Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. If required, enter negative values as negative numbers.
Line Speed Devective number
20 23
20 21
30 19
30 16
40 15
40 17
50 14
50 11

a. Select a scatter diagram with the line speed as the independent variable.b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?

Answers

Answer:

Here's what I get

Step-by-step explanation:

(a) Scatter diagram

The scatter diagram is the figure below.

(b) Interpretation

The scatter diagram shows there is a linear relationship between the variables.

The defective number decreases as the line speed increases.

The inspectors miss more faulty parts when the line speed increases, so they report fewer of them.

6. Jefferson has $30,000 property damage insurance and comprehensive/collision insurance with adeductible of $1,000. He crashes into a house causing $40,000 damage to the house. Jefferson's car needs
$4,500 worth of repairs? How much will Jefferson have to pay total to fix the house and his car?

Answers

Answer: Since Jefferson has a $1,000 deductible on his comprehensive/collision insurance, he will have to pay the first $1,000 of his car repairs himself. The insurance will cover the remaining amount, which is $4,500 - $1,000 = $3,500.

For the damage to the house, Jefferson's property damage insurance will cover up to $30,000. Since the damage to the house is $40,000, Jefferson will have to pay the difference out of his own pocket. The amount he will have to pay is $40,000 - $30,000 = $10,000.

Therefore, the total amount Jefferson will have to pay to fix the house and his car is $1,000 + $3,500 + $10,000 = $14,500.

Step-by-step explanation:

WNu
Apply
6. Nadia is comparing costs for two brands of garden compost. For
Brand A, the cost y for x bags is shown in the table For Brand B,
the cost y can be represented by the equation y = 1,99%, where
x represents the number of bags, Which brand costs less for
6 bags of compost? How much less?

Answers

Brand B costs less for 6 packs of compost. It costs $5.99 less.

Which brand costs less for 6 bags of compost?

To discover which brand costs less for 6 sacks of compost, let's calculate the fetched of 6 packs of each brand:

Brand A:

6 sacks * $2.99/bag = $17.94

Brand B:

y = 1.99x

For 6 packs of compost, x = 6:

y = 1.99 * 6 = $11.94

In this manner, Brand B costs less for 6 sacks of compost, and it costs $5.99 less.

Brand B costs less for 6 packs of compost. It costs $5.99 less.

Learn more about compost here:

brainly.com/question/15334467

#SPJ3

A particular concentration of a chemical found in polluted water has been found to be lethal to 40% of the crayfish that are exposed to the concentration for 24 hours. 22 crayfish are placed in a tank containing this concentration of chemical in the water. (a) What is the probability that 13 or 17 survive?
(b) What is the probability that at least 17 survive?
(c) What is the probability that at most 16 survive?
(d) What number of crayfish are expected to survive?
(e) What is the variance in the number of crayfish that are expected to survive? No actual crayfish were harmed in the making of this question.

Answers

Answer:

a) $P(X=13)=(24C13)(0.4)^(13) (1-0.4)^(24-13)=0.0608$

$P(X=17)=(24C17)(0.4)^(17) (1-0.4)^(24-17)=0.0017$

$P(X=13 U X=17) = 0.0608+0.0017=0.0624$

b) $P(X \geq 17)=0.000427$

c) $P(X \geq 16)= 1-0.000427=0.9996$

d) $E(X)= np = 22*0.4=8.8$

e) $Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=24, p=0.4)$