MATHEMATICS HIGH SCHOOL

Solve the inequality.
x+9<15

5>2+y

z-2.3<4.7
6

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

x+9<15

x<6

5>2+y

y<3

z-2.3<4.7

z<7

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A small town with a population of 1,200 residents held elections for the position of mayor. Four candidates had announced their candidature for the election. On the day of the election, a local newspaper conducted an exit poll near two polling booths with two groups of 100 residents each. The results are given in the table shown below.Name Group A Group B
Chris Jones 51 29
Patrick Smith 6 4
Michael Small 30 54
Susan Davis 13 13

Which of the following statements about the data above is true?
A.
The estimated number of residents who would have voted for Michael Small is higher for Group B than Group A.
B.
The estimates for both groups show an equal number of residents would have voted for Michael Small.
C.
The estimated number of residents who would have voted for Susan Davis is higher for Group A than Group B.
D.
The estimated number of residents who would have voted for Michael Small is higher for Group A than Group B.

Answers

Answer:

The estimated number of residents who would have voted for Michael Small is higher for Group A than Group B.

Step-by-step explanation:

Alg 1Given the data set for the length of time a person has been jogging and the person's speed, hypothesize a relationship between the variables.

a. I would expect the data to be positively correlated.

b. I would expect the data to be negatively correlated.

c. I would expect no correlation.

d. There is not enough information to determine correlation.

Answers

a)true
B)false
c)false
D)true

they are right

Answer:

b. I would expect the data to be negatively correlated.

Step-by-step explanation:

This is because the correlation is an inverse. That means that the longer you jog the less time it should take you to do it.

I know that the answer is not A because I took the test and A was incorrect.

In a right triangle, angle C measures 40. the hypotenuse of the triangle is 10 inches long. what is the approximate length of the side adjacent to angle C

Answers

In a right triangle, we know that we have one angle that is 90 degrees. In order to calculate the length of the adjacent side we have to use the cosine function of angle C which will give us the adjacent side length. The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.66 inches.

The approximate length of the side adjacent to angle $C$ is $\boxed{{\mathbf{7}}{\mathbf{.66 inches}}}$ .

Further explanation:

The cosine ratio can be expressed as,

$\cos\theta=\frac{{{\text{base}}}}{{{\text{hypotenuse}}}}$

Here, base is the length of the side adjacent to angle $\theta$ and hypotenuse id the longest side of the right angle triangle.

The length of side opposite to angle $\theta$ is perpendicular that is used for the sine ratio.

Step by step explanation:

Step 1:

The observed right angle from the given information is attached.

First determine the hypotenuse and the base of the triangle.

The side $BC$ is adjacent to angle $C$ and the side $AC$ is the hypotenuse of $\Delta ABC$ .

Therefore, the ${\text{base}}=BC$ and ${\text{hypotenuse}}=10$ .

Step 2:

Since, the cosine ratio is $\cos\theta=\frac{{{\text{base}}}}{{{\text{hypotenuse}}}}$ .

Now substitute the value ${\text{base}}=BC$ and ${\text{hypotenuse}}=10$ in the cosine ratio.

$\begin{aligned}\cos C&=\frac{{BC}}{{10}}\n{\text{co}}s40&=\frac{{BC}}{{10}}\n0.766&=\frac{{BC}}{{10}}\nBC&=7.66\n\end{aligned}$

Therefore, the approximate length of the side adjacent to angle $C$ is $7.66{\text{ inches}}$ .

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Trigonometry

Keywords: Distance, Pythagoras theorem, base, perpendicular, hypotenuse, right angle triangle, units, squares, sum, cosine ratio, adjacent side to angle, opposite side to angle.

Translate the phrase into an algebraic expression.
3 times b

Answers

Answer:

Step-by-step explanation:

It`s just . . . 3b lol

When numbers and variables multiply, they are put in the form of (integer)(variable). They phrase can only be further simplified if there is a number substitution for b.

Jess observed that 60% of the people at a mall on a particular day shopped for clothes. If 2500 people at the mall did not shop for clothes that day, the number of people who shopped for clothes that day was ______. (only put numeric values, no other symbols)

Answers

The 2500 people that did not shop for clothes that day accounts for 40% of the total people present in the mall. The total number of people present at the mall that day is the quotient obtained when 2500 is divided by 40% which is 6250. Since the number of people who shopped for clothes that day is 60% of the total number of people, multiply 6250 by 60%. This gives an answer of 3750.

Therefore, there are 3750 people who shopped for clothes that day.

Answer:

3750

Step-by-step explanation:

The volume of a rectangular prism is represented by the function x3 + 11x2 + 20x – 32. The width of the box is x – 1 while the height is x + 8. Find the expression representing the length of the box

Answers

The length of the rectangular prism obtained by finding the quotient of the volume divided by the product of height and width. Hence, the length of the box is x + 4

The volume of a rectangular prism is given calculated using the formula :

Volume = Length × width × height