if the slope of a line is 6, find y when given (5, -9) and (7, y)

Answer:

2.25 or 2 1/4

Step-by-step explanation:

Find out 2/3 of  3 3/8

Divide:

Answer: 2.25

The experimental probability of rolling a 1 or a 2 is 0.2.

Hence, Option A is correct.

We know that,

The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.

In this case,

The event is rolling a 1 or a 3,

Which occurred ⇒  3 + 1

                           = 4 times.

Given that there are total number of trials = 20.

Therefore,

The experimental probability of rolling a 1 or a 3 = 4/20,

                                                                                = 1/5

                                                                                 = 0.2

Hence, the required probability is 0.2.

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The complete question is:

Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?

Number on cube:1,2,3,4,5,6

Number of times event occurs:3,6,1,5,3,2

A.0.2

B.0.3

C.0.6

D.0.83

The coordinates of the intersection of the diagonals of quadrilateral ABCD are (3/4, 1/2).

To find the coordinates of the intersection of the diagonals of the quadrilateral ABCD, we can calculate the midpoint between the diagonal AC and the midpoint between the diagonal BD. Let's go through the steps to find the coordinates:

Calculate the midpoint between points A and C:

\(Midpoint_{AC} = ((x_A + x_C) / 2, (y_A + y_C) / 2)\)

\(Midpoint_{AC} = ((-3 + 5) / 2, (5 + (-4)) / 2)\)

\(Midpoint_{AC} = (1/2, 1/2)\)

Calculate the midpoint between points B and D:

\(Midpoint_{BD} = ((x_B + x_D) / 2, (y_B + y_D) / 2)\)

\(Midpoint_{BD} = ((6 + (-4)) / 2, (5 + (-4)) / 2)\)

\(Midpoint_{BD} = (1, 1/2)\)

Calculate the intersection point by taking the average of the two midpoints:

\(Intersection = ((x_{mid}_{AC} + x_{mid}_{BD}) / 2, (y_{mid}_{AC} + y_{mid}_{BD}) / 2)\)

Intersection = ((1/2 + 1) / 2, (1/2 + 1/2) / 2)

Intersection = (3/4, 1/2)

Therefore, the coordinates of the intersection of the diagonals of quadrilateral ABCD are (3/4, 1/2).

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you work out the equation from 5 to 3 then compare it to 9

Given:

The mean of the data set is 2.5.

We are asked to calculate the mean absolute deviation (MAD) of the data set.

Formula for MAD:

MAD = ∑ | xi - μ | / n

Where:

μ = Mean of the data set

xi = Data points

n = Number of data points

Calculation for MAD:

Data set: 1, 2, 3, 4, 5

Step 1: Find the deviations of each data point from the mean.

Data point Deviation from mean

1 -1.5

2 -0.5

3 -0.5

4 -1.5

5 -2.5

Step 2: Find the total deviation (absolute value).

Total deviation (absolute value): 1.5 + 0.5 + 0.5 + 1.5 + 2.5 = 6

Step 3: Calculate the mean absolute deviation (MAD).

MAD = Total deviation / Number of data points = 6 / 5 = 1.2

Rounded to the nearest tenth:

MAD ≈ 1.2

Therefore, the mean absolute deviation (MAD) of the given data set is 1.2 (rounded to the nearest tenth).

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Answer:

Sarah had $31.80 and she owed 6 friends money.So she owes each friend $5.30.

Hope i helped please mark brainliest

AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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Answer:

D

Step-by-step explanation:

a×10=0.07

a=0.07/10

=0.007

Answer:

D

Step-by-step explanation:

0.007 if you multiply this by 10 you move the decimal one place to the right, t hat would be 0.07

Answer:

7

Step-by-step explanation:

y=mx+c put the value of

x=2,y=3 and m=5 and solve this and you will get the answer of c=7

Answer:we can solve the problem by setting a simple proportion.

We know that 22 pancakes can feed 8 people, so we have to find the number x which corresponds to the number of people that can be feeded with 55 pancakes:

Solving the proportion, we find

So, 55 pancakes can feed 20 people.

Step-by-step explanation:

Total surface area = 2(lb+bh+hl)

TSA = 2(25×20+20×15+15×25)

TSA= 2(500+300+375)

TSA= 2(1175)

TSA= 2350 cm²

Lateral surface area = 2(l+b)h

LSA= 2(25+20)15

LSA,= 2(45)15

LSA= 1350 cm²

h=25 cm

l=20 cm

b=15 cm

Total surface area is 2(lb+bh+hl)

2(20×15+15×25+25×20)

2(300+375+500)

2(1175)=2350 cm 2

The given expression represents a number whose 5 times is 3 less than 15 which is 12/5.

Given that,
An expression is given we have to discuss what the expression 5p + 3 = 15 implies.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
5p + 3 = 15
5p = 15 - 3
p = 12 / 5

Thus, the given expression represents a number whose 5 times is 3 less than 15 which is 12/5.

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The probability that exactly 3 jellies selected are yellow is 0.2149.

Given that the box contains 19 yellow, 31 green, and 32 red jelly beans. Therefore, the probability of getting a yellow jelly bean is,

Probability of Yellow jelly beans

= Number of Yellow jelly beans / Total number of jelly beans in the box

= 19 / (19 + 31 + 32)

= 19 / 82

= 0.2317

Now, as per the binomial probability distribution:

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

Therefore, the probability of getting exactly 3 yellow jelly beans is:

P(x=3) = ⁹C₃ (0.2317³) (1-0.2317)⁽⁹⁻³⁾

           = 84 × 0.012438 × 0.205676

           = 0.2149

Hence, the probability is 0.2149.

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Answer:

They are equal.

Step-by-step explanation:

Step 1: Evaluate 16/28

16/28 = 0.571429...

Step 2: Evaluate 28/49

28/49 = 0.571429...

Step 3: Compare

0.571429... ? 0.571429...

0.571429... = 0.571429...

So 16/28 = 28/49

The most likely next step in the series is Option B.

Option B is the correct answer.

A series of patterns is a sequence of related designs, shapes, colors, or other elements that follow a consistent and predictable order.

The patterns may repeat or vary in a systematic way, creating a sense of rhythm, symmetry, or harmony.

We have,

From the series of patterns, we see that,

The number of arrows is increasing in odd arithmetic numbers.

So,

1, 3, 5,

The next step must have 7 arrows.

And,

The color is alternated as:

Red, Blue, Red Blue.

So,

The next step in the series must be a blue color.

Thus,

The most likely next step in the series is Option B.

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Researchers typically exercise direct control over the independent variable in experimental designs.

The independent variable is the variable that is being controlled or changed in an experiment. It is referred to as "independent" because its value is determined by the researcher rather than being influenced by other variables in the study.

The purpose of manipulating the independent variable is to observe its effect on the dependent variable, which is the variable being measured or observed in response to the manipulation of the independent variable.

For example, in a study investigating the effects of a new drug on blood pressure, the independent variable would be the administration of the drug, and the dependent variable would be the measured blood pressure. The researcher would directly control the administration of the drug and then measure the changes in blood pressure that result.

In summary, the independent variable is the key factor being tested in an experiment, and researchers have direct control over its value. By manipulating this variable, researchers can determine the relationship between it and the dependent variable and ultimately draw conclusions about cause-and-effect relationships between variables.

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The z score associated with the highest 10% is closest to: option (c) 1.28

-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.

- Look up the 0.90 (90%) in a standard normal distribution  (z score) table, which will give you the corresponding z score.

-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.

Therefore, the z score associated with the highest 10% is closest to 1.28.

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There were 682 children's and 332 adults were admitted when the entrance charge to an park is $4 for adults and $1.50 for children.

Given that,

The entrance charge to an amusement park is $4 for adults and $1.50 for children. 351 persons visited the park on one particular day, and 1014 dollars in entrance fees were collected.

We have to find how many people and kids were allowed inside.

We know that,

We get equations as,

1.5x+4y=351 ----->equation(1)

The other equation is

x+y=1014 ----->equation(2)

Take the equation(2)

x+y=1014

y=1014-x

Substitute y=1014-x in equation(1)

1.5x+4y=351

1.5x+4(1014-x)=351

1.5x+2056-4x=351

1.5x-4x=351-2056

-2.5x=-1705

2.5x=1705

x=1705/2.5

x=682

Substitute x=682 in equation(2)

y=1014-x

y=1014-682

y=332

Therefore, There were 682 children's and 332 adults were admitted when the entrance charge to an amusement park is $4 for adults and $1.50 for children.

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Answer:

the four bags/ Unit price is 1.25

Step-by-step explanation:

5.00/4 = 1.25

1.25 < 1.75

The effective annual rate for a 8.65% interest compounded monthly is 9.14%.

To calculate the effective annual rate, we need to take into account the compounding frequency. In this case, the interest is compounded monthly.

We can use the formula for compound interest to calculate the effective annual rate:

Effective Annual Rate = (1 + (interest rate / compounding frequency))^compounding frequency - 1

Plugging in the given values:

Effective Annual Rate = (1 + (8.65% / 12))^12 - 1

                     = (1 + 0.0072083)^12 - 1

                     = 1.0072083^12 - 1

                     ≈ 0.0914 or 9.14%

Therefore, the effective annual rate for a 8.65% interest compounded monthly is approximately 9.14%.

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The measure of the central angle for the slice of the pie chart representing sleep is 30 degrees.

To find the measure of the central angle of the slice representing sleep, we need to know what percentage of the 24 hours was spent sleeping.

If Burt slept for 2 hours, then the remaining time he was awake for 24 - 2 = 22 hours.

Therefore, the percentage of time spent sleeping is

2 / 24 * 100% = 8.33%

To convert this percentage to an angle in degrees, we use the formula

Angle = Percentage * 360

So, the central angle of the slice representing sleep is

8.33% * 360 = 30 degrees (rounded to the nearest degree).

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Answer: I believe the answer is M= -4

Step-by-step explanation:

Answer:

Are there certain options?

Step-by-step explanation:

2^5 is in other words 2x2x2x2x2

the answer to this is 32

Hope I helped?

Answer:

32

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Anthony                                                              Ciara

Week (x)    Process     Total dollars    Week (x)    Process  Total dollars

                                             (y)                                                      (y)

0                50+20•0        50                     0            10+30•0          10

1                 50 + 20•1       70                      1             10+30•1           40

2                 50 + 20•2      90                    2             10+30•2          70

3                 50 + 20•3      110                    3             10+30•3        100

4                 50 + 20•4      130                   4             10+30•4        130

5                 50 + 20•5      150                   5             10+30•5        160  

8                 50 + 20•8      210                   8             10+30•8        250

10                50 + 20•10    250                 10            10+30•10        310

Answer:

1024 pi

Step-by-step explanation:

r = 32 units.

Area = pi * r^2

Area = 3.14 * 32^2

Area = 1024 * pi

Tt = pi??

Answer:

1/3

Step-by-step explanation:

or 4/12 if not simplified