Is this relation a function? Justify your answer.
11
10
9
8
7
654321
1 2 3 4 5 6 7 8 9 10 11
OA. Yes, because every x-value corresponds with a single y-value.
OB. Yes, because the number of x-values is the same as the number of
y-values.
OC. No, because two points with the same y-value have different x-
values.
OD. Yes, because every x- and y-value is positive.

Answer:

Step-by-step explanation:

180 - ( 37+67) = 180 - 104

                      = 76°

Answer:

[tex] = 9102 \div 7 \\ = 1300.29 \\ [/tex]

Answer: MW = CD

Explanation: It would be this way because if you wrote the triangles out, MW would be in the same place as CD, making them corresponding.

The following segments are corresponding parts of the congruent triangles.

segment MT ≅ segment CA

segment TW ≅ segment AD

segment MW ≅ segment CD

Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal. They are of the same shape and size.

Given that

Triangle MTW = Triangle CAD

If two triangles are congruent then the corresponding sides and corresponding angles are congruent.

∴ segment MT ≅ segment CA

{corresponding parts of the congruent triangles}

segment TW ≅ segment AD

{corresponding parts of the congruent triangles}

segment MW ≅ segment CD

{corresponding parts of the congruent triangles}

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Answer:

shaded area = 2x² + 6x + 17

If these are squares, what is the "x + 3"?

Step-by-step explanation:

shaded area = (x + 4)² - (x - 1)² = x² + 8x + 16 + x² - 2x + 1 = 2x² + 6x + 17

Answer: 22 times

Step-by-step explanation: divide 137 by 6

Answer: She has read 33.75% of the pages.

Explanation: You can divide 27 by 80 to get the answer :)

Dirk will make 70 pars or better.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that During the first several rounds of a golfing league, Dirk made par or better on 42 out of 90 holes.

Out of 90 holes, Dirk made par or better on 42 holes.

At this rate, Out of 1 hole, Dirk made par or better on (42/90) holes.

Then, Out of 150 holes, Dirk will make par or better on -

(42/90 x 150) holes

(42/90 x 150)

70

Therefore, Dirk will make 70 pars or better.

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Answer:

276 .........................................

Answer:

Since the term "3" contains no variables, "3" IS a constant term. In the expression 2x - 5 the constant term is -5.

Answer:

B

Step-by-step explanation:

mrk me brainliest plz

The equation of the straight line in slope - intercept form that

is perpendicular to the given line and passes through the point (0, 9) is -

y = 6x + 9.

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is that the equation of a straight line as -

2x + 12y = - 1

Assume that the equation of the straight line in slope - intercept form as

y = mx + c

Now, the given straight line is perpendicular to the given line. So, we can write the slope as -

{m} = -1/(-1/6)

{m} = 6

For the {y} intercept, we can write -

{c} = 9

So, we can write the equation of the straight line in slope - intercept form that is perpendicular to the given line and passes through the point (0, 9) is -

y = 6x + 9

Therefore, the equation of the straight line in slope - intercept form that

is perpendicular to the given line and passes through the point (0, 9) is -

y = 6x + 9.

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Answer:

3/4 > 2/4

Step-by-step explanation:

3/4 = 0.75

2/4 = 0.5

Therefore, 3/4 > 2/4

Step-by-step explanation:

1.

Given that,

L = 18 in , w = 20 in , h = 16 in

The surface area of the box is given by :

SA= 2lw + 2lh + 2wh

Put all the values,

SA= 2lw + 2lh + 2wh

= 2(lw+lh+wh)

= 2(18(20)+18(16)+20(16))

= 2 (968)

= 1936 in²

2.

L= 10.5 in , W= 15.5 in , H= 20 in

The surface area of the box is given by :

SA= 2lw + 2lh + 2wh

Put all the values,

SA= 2lw + 2lh + 2wh

= 2(lw+lh+wh)

= 2(10.5(15.5)+10.5(20)+15.5(20))

= 2 (682.75)

= 1365.5 in²

Hence, this is the required solution.

Answer:

Step-by-step explanation: 55

Given:

[tex]A=15^\circ, C=120^\circ,b=3[/tex].

To find:

The length of side c.

Solution:

According to the angle sum of property of a triangle, the sum of all interior angles of a triangle is 180 degrees.

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]

[tex]15^\circ+m\angle B+120^\circ=180^\circ[/tex]

[tex]m\angle B+135^\circ=180^\circ[/tex]

[tex]m\angle B=180^\circ-135^\circ[/tex]

[tex]m\angle B=45^\circ[/tex]

According to the Law of sines,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using Law of sines, we get

[tex]\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

[tex]\dfrac{3}{\sin 45^\circ}=\dfrac{c}{\sin 120^\circ}[/tex]

[tex]\dfrac{3}{\dfrac{1}{\sqrt{2}}}=\dfrac{c}{\dfrac{\sqrt{3}}{2}}[/tex]

[tex]3\sqrt{2}\times \dfrac{\sqrt{3}}{2}=c[/tex]

On further simplification, we get

[tex]\dfrac{3\sqrt{6}}{2}=c[/tex]

[tex]3.674235=c[/tex]

[tex]c\approx 3.7[/tex]

Therefore, the length of side c is about 3.7 units.

Answer: 2/3, 8/12

Step-by-step explanation:

Answer:

2/3 and 8/12 (brainlest plssss)

Step-by-step explanation:

Answer:

The appropriate solution is:

(1) 22.81 minutes

(2) 0.171

Step-by-step explanation:

According to the question, the values will be:

The service rate of guess will be:

= [tex]5+3.5[/tex]

= [tex]8.5 \ minutes[/tex]

The mean arrival rate will be:

[tex]\lambda =\frac{60}{5}[/tex]

  [tex]=7.5 \ cabs/hr[/tex]

The mean service rate will be:

[tex]\mu= 7.05 \ cabs/hr[/tex]

(1)

The average time a cab must wait will be:

⇒ [tex]W_q=22.95-\frac{1}{7.05}[/tex]

⇒       [tex]=\frac{161.798-1}{7.05}[/tex]

⇒       [tex]=\frac{160.798}{7.05}[/tex]

⇒       [tex]=22.81 \ minutes[/tex]

(2)

The required probability will be:

⇒ [tex]P(X\geq 6)=\frac{1-2.115}{1-7.5}[/tex]

⇒                  [tex]=\frac{-1.1115}{-6.5}[/tex]

⇒                  [tex]=0.171[/tex]

Answer:

6,9 and 3 times respectively

The linear function q(x) = -3x + 1 is graphed and attached

The graph of the linear function is a straight line graph and the table of values used in making the plot is calculated as follows

For x = -20,  q(x) = -3 * -20 + 1 = 61

For x = -10,  q(x) = -3 * -10 + 1 = 31

For x = 0,  q(x) = -3 * 0 + 1 = 1

For x = 10,  q(x) = -3 * 10 + 1 = -29

For x = 20,  q(x) = -3 * 20 + 1 = -59

Table of values

x     y

-20  61

-10    31

0      1

10     -29

20    -59

These points are plotted in the cartesian coordinate by tracing the point of intersection of the x and y and marking it. Then the marked points are joined together to form a straight line

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Answer:

191.67 feets

Step-by-step explanation:

From. The attached picture :

Height x can be obtained using trigonometry :

Tan 22 = x / 200

0.4040262 = x / 200

x = 0.4040262 * 200

x = 80.805245 feets

For height, y :

Tan 29 = x / 200

0.5543090 = x / 200

y = 0.5543090 * 200

y = 110.86181 feets

Building height = x + y

Building height = 80.805245 + 110.86181 = 191.67 feets

Answer:

JN

Step-by-step explanation:

It is the only segment that does not have a bend.

Her team scored a total of 22+39 = 61 points. This is 8 points higher than the other team, so the other team scored 61-8 = 53 points.

As for which expression your teacher wants as the final answer, it will depend on how simplified you want it to be. You could have the following possible answers:

Other expressions may be possible as well.

Answer:

The answer depends on whether your teacher wants an algebraic expression or an arithmetic expression.

Algebraic might be:

s = g - 8

Arithmetic:

39 + 22 - 8

Step-by-step explanation:

s (score) is the total number of points Ginny's team scored (g) minus 8 because Ginny's team scored 8 more than the other team.

Answer: 18

Step-by-step explanation:

you just times the 4 1/2 4 times

Answer:

B) No, because the p-value is greater than any reasonable significance level

Step-by-step explanation:

H-null: p = 0.41

H-alt: p =/= 0.41

1 proportion Z test

On a calculator: stat + tests + 5

   p: .41

   x: 245

   n: 600

   prop: =/= p

This gives a p-value = .934

(standard significance level is .05, so this p-value is much larger)

fail to reject H-null

If the p-value is much larger than 0.41 then the null hypothesis is rejected. Then the correct option is B.

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

A research organization reported that 41 percent of adults who were asked to describe their day responded that they were having a good day rather than a typical day or a bad day.

To investigate whether the percentage would be different for high school students, 600 high school students were randomly selected.

When asked to describe their day, 245 students reported that they were having a good day rather than a typical day or a bad day.

Null hypotheses

p = 0.41

Alternative hypotheses

p ≠ 0.41

The p-value will be given as

p-value = 0.934

The p-value is much larger than p.

More about the null hypotheses and alternative hypotheses link is given below.

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Answer:

49 feet squared

Step-by-step explanation:

Divide the perimeter by the the number of sides a square has to find the length of each side, then find the area by multiplying two of the side lengths

28÷4 = 7

7×7=49

Answer:

1. 1/4 or 25/100, .25 and 25%

2. 1/10 or 1/100, .10 and 10%

Step-by-step explanation:

25 cubes out of 100 is 25/100

Simplify to 1/4

if its 25 cubes out of 100 its gonna fill up 25% or .25 of the whole thing

10 cubes out of 100 is 10/100

then simplify to 1/10

other two are obvious lol

Answer:

a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

b) 0.4129 = 41.29% probability that the mean return will be less than 8%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 8.7% and standard deviation 20.2%.

This means that [tex]\mu = 8.7, \sigma = 20.2[/tex]

40 years:

This means that [tex]n = 40, s = \frac{20.2}{\sqrt{40}}[/tex]

(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?

This is 1 subtracted by the pvalue of Z when X = 13. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{13 - 8.7}{\frac{20.2}{\sqrt{40}}}[/tex]

[tex]Z = 1.35[/tex]

[tex]Z = 1.35[/tex] has a pvalue of 0.9115

1 - 0.9115 = 0.0885

0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

(b) What is the probability that the mean return will be less than 8%?

This is the pvalue of Z when X = 8. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8 - 8.7}{\frac{20.2}{\sqrt{40}}}[/tex]

[tex]Z = -0.22[/tex]

[tex]Z = -0.22[/tex] has a pvalue of 0.4129

0.4129 = 41.29% probability that the mean return will be less than 8%

Answer:

March is the first month

Step-by-step explanation:

If we make a graph. We can see that the quantity of sold water skis overpasses the quantity of snow skis in the month of March.

Answer:

304.75 inches

Step-by-step explanation:

Total distance = 101 feet 7 inches

Recall :

1 Feet = 12 inches

Total distance in inches = (101 * 12) + 7 = 1219 inches

Perimeter of square = 1219

Sides of a square are always equal

Number of sides = 4

Hence, length of each side = 1219 inches / 4 = 304.75 inches

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{n - \dfrac{31}{105}>1}[/tex]

[tex]\large\textsf{First you have to SIMPLIFY EACH SIDES of the INEQUALITY}[/tex]

[tex]\mathsf{n + (-\dfrac{31}{105})>1}[/tex]

[tex]\large\textsf{Second ADD }\mathsf{\dfrac{31}{105}}\large\textsf{ to BOTH of your SIDES}[/tex]

[tex]\mathsf{n - \dfrac{31}{105}+\dfrac{31}{105}> 1 +\dfrac{31}{105}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{-\dfrac{31}{105}+\dfrac{31}{105}}\large\textsf{ because that gives the value of 0}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{1+\dfrac{31}{105}}\large\textsf{ because it helps what is being COMPARED to the n value}[/tex]

[tex]\large\textsf{Simplify above (}\mathsf{1+\dfrac{31}{105}}\large\textsf{) and you should have your result to this question}[/tex]

[tex]\mathsf{1+\dfrac{31}{105}=\bf \dfrac{136}{105}}[/tex]

[tex]\boxed{\mathsf{Answer: \bf n> \dfrac{136}{105\ }\boxed{\large\textsf{ it is an \bf O P E N E D circle shaded to the right}}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]