About 8 out of 10 people entering a community college need to take a refresher mathematics course. if there
are 850 entering students, how many will probably need a refresher mathematics course?

a) The expected number of people to die before their 71st birthday is given as follows: 128.

b) The probability that a 67 year old woman will live to her 68th birthday is given as follows: 0.8876 = 88.76%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

0.025679 of the 70 year old men die, hence the expected number out of 5000 is given as follows:

0.025679 x 5000 = 128.

The probability for item b is given as follows:

0.016798/0.018925 = 0.8876 = 88.76%.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer:

324.27

Step-by-step explanation:

3,891.24/12=324.27

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Equilateral Triangles.

Since, we know that, all the sides of a triangle are equal, hence it is a Equilateral triangle.

Equilateral triangle has one all angles equal to 60°.

so, major angle P = 60°

hence, 2x=60°

===> x = 30°

This is called a mathematical model. this is an equation that indicates how the variables are related to one another. this is called mathematical model.

A mathematical model is an equation or a set of equations that describe how different variables are related to one another in a given system or process. It is a simplified representation of the real-world problem that allows us to study and understand the behavior of the system. Mathematical models can be used in a wide range of fields, including physics, biology, economics, and engineering, among others. By creating a mathematical model, we can predict how changes in one variable will affect the other variables in the system. Mathematical models are useful tools for making decisions and solving problems in many different areas of research and development.

Learn more about mathematical model here

https://brainly.com/question/28592940

#SPJ11

Answer: Elevation is going to be greater than 5.71059°

Step-by-step explanation: 60/600 = tan∅ = 0=5.71059°,   so 0> 5.71059°

The values of z for the standard normal distribution are 1.17 and -1.17

From the question, we have the following parameters that can be used in our computation:

Distribution type = standard normal distribution

The number z that has cumulative proportion 0.88.

This means that we calculate the z-score from the p-value

i.e p = 0.88

Using the z-score table of values, we have the following representation

z = 1.17

The number z such that the event z > z has proportion 0.12

This means that we calculate the z-score from the p-value

i.e. p = 0.12

Using the z-score table of values, we have the following representation

z = -1.17

Hence, the z-scores are 1.17 and -1.17

Read more about z-score at

https://brainly.com/question/25638875

#SPJ1

The variable z follows a standard normal distribution. Let's solve the given problems step by step: (a) To find the number z that has a cumulative proportion of 0.88, we need to find the z-score that corresponds to this proportion. The cumulative proportion represents the area under the standard normal curve to the left of a given z-score.

Using a standard normal distribution table or a calculator, we can find the z-score associated with a cumulative proportion of 0.88. The z-score is approximately 1.175. Therefore, the value of z that corresponds to a cumulative proportion of 0.88 is approximately 1.175.

(b) To find the number z such that the event z > z has a proportion of 0.12, we need to find the z-score that corresponds to this proportion. The event z > z is equivalent to finding the area under the standard normal curve to the right of z. Using a standard normal distribution table or a calculator, we can find the z-score associated with a proportion of 0.12 to the right of z. The z-score is approximately -1.175.

Therefore, the value of z that corresponds to the event z > z having a proportion of 0.12 is approximately -1.175.

To learn more about normal distribution, visit here

https://brainly.com/question/15103234

#SPJ11

Answer:

A complete angle is one which measures 360∘360∘.

The three angles

6x+20∘,9y+30∘,3z+40∘6x+20∘,9y+30∘,3z+40∘

add up to 360∘360∘, as per the question.

6x+20∘+9y+30∘+3z+40∘=360∘6x+20∘+9y+30∘+3z+40∘=360∘

⟹3(2x+3y+z)+90∘=360∘⟹3(2x+3y+z)+90∘=360∘

⟹3(2x+3y+z)=270∘⟹3(2x+3y+z)=270∘

⟹2x+3y+z=90∘⟹2x+3y+z=90∘

This is the required relation.

The logarithm of 10 to base 10 is 1

The given parameters are:

So, the logarithm expression can be represented as:

\(\log_{10}10\)

The law of logarithm states that:

\(\log_{x}x = 1\)

The above means that;

When the base and the number are the same, the logarithm is 1

So, we have:

\(\log_{10}10 = 1\)

Hence, the logarithmic value is 1

Read more about logarithm at:

brainly.com/question/20785664

#SPJ1

Answer:

B. It is between 4 and 5

Step-by-step explanation:

When you square 4 you get 16. Do the same to 5 and you get 25.

The expected value of X is 100/663.

Let's consider the sequence of 3 number cards as an individual block, then we can see that there are 10 such blocks in the deck (2-3-4, 3-4-5, ..., 9-10-J, 10-J-Q), and there are 39 non-number cards in the deck.

Now, we can consider flipping the cards one by one and keep track of the number of times we see the beginning of a new block of 3 number cards. There are 50 positions in the deck where a block of 3 number cards could begin (the first 2 cards cannot start a block and the last 2 cards cannot end a block). For each position, the probability of seeing the beginning of a new block is given by:

P(new block) = P(first card is a number) x P(second card is the next number) x P(third card is the next number) = 10/52 x 4/51 x 4/50 = 2/663

Therefore, the expected value of X is:

E(X) = P(new block at position 1) + P(new block at position 2) + ... + P(new block at position 50) = 50 x P(new block) = 50 x 2/663 = 100/663

So, the expected value of X is 100/663.

Learn more about expected value

https://brainly.com/question/29574962

#SPJ4

1. Building Supply Company:

Let's define the variables:

Let B represent the number of pallets of bricks.

Let R represent the number of pallets of roofing material.

According to the problem, we have the following restrictions:

At least 30 pallets of brick: B ≥ 30

Each brick pallet weighs 900 pounds: 900B ≤ 34,000 (load capacity of the truck)

At least 20 pallets of roofing material: R ≥ 20

Each roofing material pallet weighs 650 pounds: 650R ≤ 34,000

The first inequality ensures that the company has at least 30 pallets of bricks.

The second inequality guarantees that the total weight of bricks (900B) does not exceed the load capacity of the truck, which is 34,000 pounds.

The third inequality ensures that the company has at least 20 pallets of roofing material.

The fourth inequality guarantees that the total weight of roofing material (650R) does not exceed the load capacity of the truck.

2. Effective Interest Rate Calculation:

To calculate the effective interest rate compounded monthly, we use the formula:

Effective Interest Rate = (1 + (Annual Interest Rate / Number of Compounding Periods)) ^ Number of Compounding Periods - 1

In this case, the annual interest rate is 8.1% (0.081) and it is compounded monthly. Therefore, we have:

Effective Interest Rate = (1 + (0.081 / 12))^12 - 1 = 8.44%

LEARN MORE ABOUT  variables here: brainly.com/question/15078630

#SPJ11

Congruent statement for each pair of congruent figures are stated as below: Pair of congruent triangles; Triangle ABC is congruent to triangle DEF.

Pair of congruent rectangles; Rectangle PQRS is congruent to rectangle TUVW. Pair of congruent circles; Circle X is congruent to circle Y. Pair of congruent hexagons; Hexagon MNOPQR is congruent to hexagon STUVWX.

How to write a congruent statement?

The congruent statement is written using the symbol ≅. It shows that two figures are congruent to each other. The symbol ≅ is read as 'is congruent to'.For example, if two triangles are congruent to each other, the statement can be written as "Triangle ABC ≅ Triangle DEF."

This congruent statement can also be written in reverse order as "Triangle DEF ≅ Triangle ABC."These congruent statements show that two triangles are congruent to each other. Congruent triangles have the same size and shape.

This means that all corresponding angles and sides of the triangles are equal.

Learn more about triangle here,

https://brainly.com/question/31587642

#SPJ11

Answer:

220.4 lbs

Step-by-step explanation:

ANSWER:

No solution in real numbers

STEP-BY-STEP EXPLANATION:

We have the following equation:

We solve for x as follows:

Since the absolute value is always positive, the equation loses its meaning since it is equal to -5, which is not possible.

Which means that there is no solution for x in the real numbers.

Answer:

13

Step-by-step explanation:

Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

Answer:

The orginial angle is a right angle (however, the pair of angles would be classified as complementary angles); the value of x is 28.

Step-by-step explanation:

It's important to note that a right angle is always 90°.

90 - 56 = 34

Set up an equation to solve for x:

34 - 6 = x

34 - 6 = 28

28 = x

Now, check if the answer is correct.

Add up both angles' measurements:

56 + (28 + 6) = 90

Answer:

35 is the 'is' and 40 is the 'of'

Step-by-step explanation:

is/of = %/100

35/40 = x/100

cross-multiply to get:

40x = 3500

x = 3500/40

x = 87.5

Answer:

33464.25

Step-by-step explanation:

Using BODMAS : brackets, division, multiplication, addition

\(177\times ((177+(9-4+7)) +\frac{90}{8}\\\\177\times (177+12) +\frac{90}{8}\\\\177\times 189 +\frac{90}{8}\\\\\\177 \times 189 + 11.25\\\\33453 + 11.25\\\\33464.25\)

Answer:

35444.25

Step-by-step explanation:

OFC by computing them

Answer : 0.10712

Step-by-step explanation: Please give brainliest it helps alot

Answer:

C. 39/48 = 81%

Step-by-step explanation:

To determine the percentage of females who only said they like cats using the given two-way table, we need to find the number of females who selected "cats" only and divide it by the total number of females surveyed. We can then multiply the result by 100 to get the percentage.

According to the provided two-way table:

Number of females who only said they like cats = 39

Total number of females surveyed = 48

To calculate the percentage:

Percentage of females who only said they like cats = (Number of females who only like cats / Total number of females surveyed) * 100

Percentage of females who only said they like cats = (39 / 48) * 100 ≈ 81.25%

Therefore, the correct option is:

C. 39/48 = 81%

The correct Option (B). Succession may be defined as the change in the ecological community of the species with respect to time. Two main types of succession are primary succession and secondary succession.

The living things that accumulate in the succession is from the simple organism to the complex organism. First lichens will evade in the land. After lichens grass then shrubs and finally the trees will cover the area and convert into the forest.

Primary succession occurs in basically dead areas—regions where the soil is incapable of supporting life due to causes such as lava flows, newly created sand dunes, or glacier-left boulders.

Pioneer microorganisms, plants (lichens and mosses), grassy stage, smaller shrubs, and trees are all stages of primary succession. When there is food available, animals begin to return. The climax community stage is reached when the ecosystem is fully functional.

Learn more about to ecological succession visit here;

https://brainly.com/question/12325701

#SPJ4

Full Question :

After a town is abandoned, the concrete parking lots remain empty and inactive for hundreds of years. What is the most likely order of ecological succession in that area?

A.grass → trees → lichens → moss

B.lichens → grass → shrubs → trees

C.lichens → grass → trees → shrubs

D.shrubs → grass → trees → lichens

Answer: I will say it’s C because if you decide 8 by both sides 8 and cancel out 204.8/8=25.6, so it gives the answer of m=25.6.

-by-step explanation:

The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

Know more about equation here:

https://brainly.com/question/29657983

#SPJ11

Given the equation:

Then, expanding and operating this equation leads to:

There are no quadratic terms, so the equation is linear. Now, converting it to standard form:

ANSWER:

EXPLANATION:

Given:

To find:

Which triangle is cos B = 0.8

For the 1st Triangle:

We have to first determine the value of side BC using the Pythagorean theorem as seen below;

So cosine B will be;

For the 2nd Triangle:

For the 3rd Triangle:

We have to first determine the value of side AB using the Pythagorean theorem as seen below;

So cosine B will be;

For the 4th Triangle:

So in the below triangle cos B = 0.8

Answer:

A.2/x+1 ............

The composite function f(g(x)) is 2/x + 1

Given the function

We are to get the composite function (fog)(x)

This can be written as:

f(g(x)) = f(2/x)

f(2/x)= 2/x + 1

Hence the composite function f(g(x)) is 2/x + 1

Learn more on composite function here: https://brainly.com/question/10687170

Answer:

6,12,18

3 x 6 = 18

So Jade has 18 apples in total.

Step-by-step explanation:

588 people can sit in the theater. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

The four basic operations, often referred to as "arithmetic operations", are thought to be able to describe all real numbers. Divide, multiply, add, and subtract are the four mathematical operations that result in the quotient, product, sum, and difference.

We are given that the theater of the Washington Elementary School has 14 rows of 42 seats.

So, using the arithmetic operations, the total seats in the theater are as follows:

Total seats = 14 * 42

Total seats = 588

Hence, 588 people can sit in the theater.

Learn more about arithmetic operations from the given link

https://brainly.com/question/30283549

#SPJ1