Let E be the event where the sum of two rolled dice is less than 10. List the outcomes in E^c

Answer: y=3/5x+3

Step-by-step explanation:

I put both points into a graphing calculator (-5,0) (0,3) and found the difference between both and calculated slope using y2-y1/x2-x1 and plugged in each value.

The total value of the furniture sold by Joyce last week is A = $ 6,733.33

Given data ,

Let's call the value of the furniture Joyce sold "x".

She receives 10% commission on the first $1,200 of sales, which is $120:

Commission on first $1,200 = 0.1 * 1200 = 120

The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:

Remaining sales = x - 1200

She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:

Commission on remaining sales = 0.15 * (x - 1200)

Her total earnings from commission last week was $950. So we can write an equation:

Commission on first $1,200 + Commission on remaining sales = $950

Substituting the expressions we found for the two commissions, we get:

120 + 0.15(x - 1200) = 950

120 + 0.15x - 180 = 950

On simplifying the equation , we get

0.15x - 60 = 950

0.15x = 1010

x = 6,733.33

Hence , the value of the furniture Joyce sold last week was $6,733.33

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Answer:

Step-by-step explanation:

Acceleration is the rate of change of velocity. When acceleration is high, it means that the velocity is not changing. Since they ran at a constant acceleration, it mean that their velocities didn't change throughout.

If Alison covers the last one seventh of the distance in 33 ​seconds, it means that the distance covered in 33 seconds is

1/7 = 0.14

Velocity = distance/time

Velocity of Alison = 0.14/33 = 0.004242

If Kevin covers the last one third of the distance in 77 seconds, it means that the distance covered in 77 seconds is

1/3 = 0.33

Velocity of kelvin = 0.33/77 = 0.004286 m/s

We can see that Kelvin has a greater speed. So kelvin had covered Alison's, distance, the time he would have spent is

Time = distance/velocity

Time = 0.14/0.004286 = 32.66

The time difference would have been 33 - 32.66 = 0.34 seconds

Kelvin won by 0.34 seconds

Answer:

634

Step-by-step explanation:

it started 759 under went up 125 feet

use the equation 759-125=634

The length of ON for the intersecting secants is derived to be equal to 14

The intersecting secant theorem, also known as the secant-secant theorem, states that when two secant lines intersect outside a circle, the product of the length of one secant segment and its external segment is equal to the product of the length of the other secant segment and its external segment.

MK × KL = MO × MN

note that KL = (ON - 3) so;

[13 + (ON - 3)] × 13 = (12 + ON) × 12

13(10 + ON) = 144 + 12ON

130 + 13ON = 144 + 12ON

13ON - 12ON = 144 - 130 {collect like terms}

ON = 14

Therefore, the length of ON for the intersecting secants is derived to be equal to 14

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Answer:

12,000

Step-by-step explanation:

i believe this would be what she withdrew but if not i'm sorry for giving the wrong answer

Answer:

$5.25 C

Step-by-step explanation:

17 student = $89.25

per student(1) = x

cross multiply

17x = $89.25

x = $89.25/17

x = $5.25

RATE AS BRAINLIEST

Answer:

5.25

Step-by-step explanation:

the person above is right

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

The function y = (e⁻⁽ˣ⁺²⁾) / x + 2  increases along intervals of (-∞, 3) and decreases along (-3, -2), (-2, ∞) and the function y = 2x - 1 / (x - 1)² has no inflection points but  concave downwards along (-∞, 1) ∪ (1 ,∞)

An extremum (or extreme value) of a function is a point at which a maximum or minimum value of the function is obtained in some interval. A local extremum (or relative extremum) of a function is the point at which a maximum or minimum value of the function in some open interval containing the point is obtained.

The function given;

y = (e⁻⁽ˣ⁺²⁾) / x + 2

The extrema and intervals of increase or decrease of this function are

(-1, 1.63) and it increases along (-∞, 3) and decreases along (-3, -2), (-2, ∞)

2. The inflection points and intervals of concavity and convexity of the function

y = 2x - 1 / (x - 1)² are

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Answer:

30 dimes

Step-by-step explanation:

Multiply the number of coins by the fraction that are dimes to determine the number of dimes

48*5/8 =30

Answer:

Hey! I believe your answer would be:

12 days, and 24 days.

Hope this helped!

Step-by-step explanation:

Answer:2/number of sides

Step-by-step explanation:

those are 2 possibilities out of number of sides so -

2/number  of sides

Answer:

A(3,-1) and B( -2,1)

Step-by-step explanation:

2x+5y=1. , or. y=(1–2x)/5………….(1)

x^2+5xy-4y^2+10=0…………………..(2)

Putting y=(1–2x)/5 from eqn. (1)

x^2+5x.(1–2x)/5–4/25.(1–2x)^2 +10=0

or. 25x^2+25x.(1–2x)-4.(1+4x^2–4x)+250 = 0

or. 25x^2+25x-50x^2–4–16x^2+16x+250=0

or. 41x^2–41x-246=0

or x^2– x - 6=0

or. (x-3).(x+2)=0

=> x= 3 or -2

But y=(1–2x)/5

=> y= (1–6)/5 or. (1+4)/5

hence, y= -1. or. 1

The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.

For the stated question.

The volume of the sphere is modeled by the power function with respect to the radius as;

V = f(r) = 4/3πr³

As, r is independent of any of the coordinate axis.

Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.

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Answer and Explanation:

Odds ratio is the odds that an outcome would happen given a level of exposure in comparison to the occurrence of that outcome without exposure. Odds ratio is calculated by dividing odds of event occurring with exposure(the first group) by odds of event(usually disease) occurring without exposure. Odds is different from probability(denoted p/1-p). While probability is the number of favorable events divided by total number of events, odds is number of favorable events/number of unfavorable events.

Relative risk, also measuring relationship between exposure and outcome, is the ratio of the probability that an outcome would occur without exposure and probability that an outcome would occur with exposure.

Answer:

20000

Step-by-step explanation:

HOPED THIS HELPED

A brainlyist is always appreciated

GOOD LUCK

Answer:

Condition of vectors collinearity 1. Two vectors a and b are collinear if there exists a number n such that

a = n · b

Condition of vectors collinearity 2. Two vectors are collinear if relations of their coordinates are equal.

N.B. Condition 2 is not valid if one of the components of the vector is zero.

Condition of vectors collinearity 3. Two vectors are collinear if their cross product is equal to the zero vector.

N.B. Condition 3 applies only to three-dimensional (spatial) problems.

The proof of the condition of collinearity 3

Let there are two collinear vectors a = {ax; ay; az} and b = {nax; nay; naz}. We find their cross product

a × b = i j k = i (aybz - azby) - j (axbz - azbx) + k (axby - aybx) =

ax ay az

bx by bz

= i (aynaz - aznay) - j (axnaz - aznax) + k (axnay - aynax) = 0i + 0j + 0k = 0

Examples of tasks

Examples of plane tasks

Example 1. Which of the vectors a = {1; 2}, b = {4; 8}, c = {5; 9} are collinear?

Solution: Since the vectors does not contain a components equal to zero, then use the condition of collinearity 2, which in the case of the plane problem for vectors a and b will view:

ax = ay .

bx by

Means:

Vectors a and b are collinear because 1 = 2 .

4 8

Vectors a and с are not collinear because 1 ≠ 2 .

5 9

Vectors с and b are not collinear because 5 ≠ 9 .

4 8

Step-by-step explanation:

The steps which you would take to determine if these figures are similar include the following:

2. Multiply the vertices of polygon ABCD by 1/2.

5. Reflect the intermediate image.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The computation of the profitability ratios for Western Bookkeeping and Tax Service is as follows:

Profitability ratios are the financial ratios that evaluate an entity's ability to convert its earnings (revenue) into profit versus different criteria.

Some of the common profitability ratios include:

Stockholders' equity = $442,600

Total assets = $640,000

Net sales = $480,000

Net income = $36,000

Profit margin ratio = Net income/Net Sales x 100

= $36,000/$480,000 x 100

= 7.5%

= 8%

Return on equity ratio = Net income/Shareholders' Equity x 100

= $36,000/$442,600 x 100

= 8.13%

= 8%

Asset turnover ratio = Net Sales/Total Assets

= $480,000/$640,000

= 0.75

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The critical value, given the sample size of 5 and the confidence level of 99. 0 percent would be 16. 812.

The critical values for the chi-squared (χ^2) distribution depend on the degree of freedom and the level of significance.

The degree of freedom for a chi-squared distribution typically equals the sample size minus 1 so the degrees of freedom here is:

= 5 - 1

= 4

The level of significance would be:

= 1 - 99. 0 %

= 0. 01

The critical value of the sample would therefore be found on a chi -squared distribution table for df = 4 and α = 0.01 to be 16. 812.

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Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%

We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%

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Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

Answer:

5x + 100

Step-by-step explanation:

(2x + 6) x 2 = 4x + 12

14x + 8 - 4x + 12 =

10x + 20 / 2 =

5x + 100

Hope that helps!

Answer:

Step-by-step explanation:

f(3) is another notation for x = 3

on a graph, find 3 on the x axis then move up or down to find its y value

The Equation is y = -1/6x + 2/3 in point - slope form of line

Slope - Intercept Form:

A linear equation when graphed is a straight line that extends to infinity in both directions. One linear equation uses the slope, m, and the y - intercepts, b, in the form y = mx + b.

In the given question is that:

Write an equation in point-slope form of the line that passes through the given points. (4, 0) and (−2, 1)

Now, According to the question:

The slope - formula is:

\(m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

Substitute the values :

\(x_{1} = 4\\\\x_{2}= -2 \\\\y_{1}= 0\\ \\y_{2} = 1\)

m = 1/ (-2 - 4)

m = -1/6

and, A line Equation is:

y = mx + b

Now, Substitute the values :

m = -1/6

x = 4

y = 0

0 = -1/6 x 4 + b

b = 2/3

Again, Substitute the values :

y = mx + b

y = -1/6x + 2/3

Hence, The Equation is y = -1/6x + 2/3 in point - slope form of line

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Answer:

c. Weights of babies are normally distributed

Step-by-step explanation:

The research has been conducted to identify the weight of new born babies in comparison to the weight of their mother. The samples are collected from young mothers who are at age of 16 to 18. The babies average weight turned out to be 7.3 pounds. It is assumed that the weight of babies is normally distributed.