26% of all college students major in stem (science, technology, engineering, and math). if 36 college students are randomly selected, find the probability that a. exactly 7 of them major in stem. b. at most 10 of them major in stem. c. at least 7 of them major in stem. d. between 9 and 15 (including 9 and 15) of them major in stem.

The answer is 15ab

Step-by-step explanation:

Since (x + y)² = (x + y)(x + y) = x² + 2xy + y²

(3a + 2.5b)²

9a² + 2(3a)(2.5b) + 6.25b²

9a² + 15ab + 6.25b²

Hence, (3a + 2.5b)² = 9a² + 6.25b² + 15ab

Ty has  2 5/6 pounds of coffee left after giving 5/6 pounds of coffee to his grandma

Fraction is a numerical quantity that is not a whole number

From the question,

Ty bought 3 4/6 pounds of coffee

converting 3 4/6 to improper fraction

we have 22/6

Ty gave his friend 5/6 pound of coffee to his grandma

To estimate how much coffee Ty has left

We substract Coffee given to his grandma from Coffee bought

That is,

22/6 - 5/6

= 17/6

= 2 5/6 pounds of coffee left

Ty has 2 5/6 pounds of toffee left. He gave 5/6 of what he bought to his grandma.

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Increase in volume is 802424.77 cubic mm/s when the diameter is 80 mm.

Let the radius of the sphere be R.

So, the volume of the sphere is given by,

V = [tex]\frac{4}{3}\pi r^3[/tex]

Differentiating the above relation with respect to time 't' we get,

dV/dt = 4[tex]\pi r^2[/tex]. dr/dt

Given that, the change of radius (dr/dt) = 4 mm/s

When the diameter is 80 mm, then the radius = 80/2 = 40 mm

So the volume change when the diameter is 80 mm is given by,

dV/dt [tex]=4\pi\times40^2\times4\approx 802424.77[/tex] cubic mm/s

Hence the volume increase in 802424.77 cubic mm/s.

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The equivalent ratios of the given quantity of silver parts of paint to green which is 3:4 are: 6:8 and 9:12.

Equivalent ratios can be described as ratios that have the same values when compared to each other. For example, 8/16, 4/8 and 1/2 re equivalent ratios because:

8/16 = 1/2

4/8 = 1/2

Therefore, 8:16 = 4:8 = 1:2.

Given the table that shows the ratio of the number of parts silver to number of parts green as 3 parts silver to 4 parts green, the ratio is: 3:4.

This means that for 3 parts of silver paint, we would require 4 parts of green paint to give the shade of paint that is needed.

Therefore:

6/8 = 3/4

9/12 = 3/4

6/8 = 9/12 = 3/4

This implies that 6:8, 9:12 and 3:4 are all equivalent ratios.

Therefore, the ratios that are equivalent to 3 parts silver paint to 4 parts green paint are: 6:8 and 9:12.

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The inequality five-sixths m minus five is less than one-half m plus 3 false is false for 35 option (B) is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The set of integers:

S:{−24, 2, 20, 35}

Plug the value 35 in the inequality:

= 5/6(35 - 5) < 1/2(35 + 3)

= 5/6(30) < 1/2(38)

= 25 < 19  (False)

Thus, the inequality five-sixths m minus five is less than one-half m plus 3 false is false for 35 option (B) is correct.

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Answer:

8/2 or 4/1

Step-by-step explanation:

To find the slope, you simply count how high up one point is from another (0,0 to 2,8) and then how far over. Since 2,8 is 8 points up from 0,0 the numerator of our slope would be 8; and since 8,2 is two over from 0,0 the denominator is 2. Simplify this to 4/1.

The hare ran 5.8 mph to win the race.

Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance.

Given that, a tortoise and a hare run in the NYC marathon for 26.2 miles, the hare crosses the finish line first in a time of 4.5 hours.

Speed = distance/time

Speed of hare = 26.2/4.5 = 5.8 mph

Hence, The hare ran 5.8 mph to win the race.

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The pool will have 14, 477 gallons of water.

The amount of water that has leaked in 91 days = rate of leakage × number of days

Keep the values in formula

The amount of water that has leaked in 91 days = 11 × 91

Performing multiplication

The amount of water that has leaked in 91 days = 1001 gallons

Amount of water remaining after 91 days = total amount of water - the amount of water that has leaked in 91 days

Amount of water remaining after 91 days = 15,478 - 1001

Performing subtraction

Amount of water remaining after 91 days = 14, 477 gallons

Hence, after 91 days there will be 14, 477 gallons of water in the pool.

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The amounts are given as follows, using proportions:

i) Amount spent on entertainment: $240.

c) Monthly salary: $840.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates in the context of a problem along with basic arithmetic operations such as multiplication or division to find the desired amounts.

The ratio of food : travelling : entertainment = 4 : 2 : 3 means that:

The amount spent on food $160 more than travelling, the total amount is obtained as follows:

(4/9 - 2/9)x = 160

2/9x = 160

2x = 160 x 9

x = 80 x 9

x = 720.

Then the amount invested in entertainment was of:

3/9 x 720 = 1/3 x 720 = $240.

He invests 6/7 of his monthly salary, as 1/7 is deposited, hence:

6x/7 = 720

6x = 720 x 7

x = 120 x 7 (simplifying both sides of the equality by 6)

x = $840.

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x = 1 and x = -7 are the x - intercepts, the vertex is, (-3, -4), and axis of symmetry is x = -3.

What is, axis of symmetry, vertex and x - intercept?

A vertical line that splits the parabola into two equal half is the axis of symmetry. The equation x = - b/2a tells us where the line of symmetry lies. The parabola's vertex, which is a point (x, y), is where it crosses its axis of symmetry.

A line's x-intercept is the location at which the x-axis is crossed.

Consider, the given equation,

[tex]f(x) = \frac{1}{4}(x - 1)(x + 7)[/tex]

Let,

[tex]y = \frac{1}{4}(x - 1)(x + 7)[/tex]             ..(1)

To find x - intercept, plug y = 0 in above equation,

[tex]\frac{1}{4}(x - 1)(x + 7) = 0\\ (x - 1)(x + 7) = 0\\(x - 1) = 0, (x + 7) = 0\\x = 1, x = -7[/tex]

Therefore, x = 1 and x = -7 are the x - intercepts.

Since, the x-coordinate of the vertex is at the midpoint of the x-intercepts.

So,

[tex]x = \frac{-7+1}{2} = \frac{-6}{2} = -3[/tex]

Plug x = -3 in equation (1)

[tex]y = \frac{1}{4}(-4)(4) = -4[/tex]

Therefore, the vertex is, (-3, -4).

The x - coordinate of the vertex is the axis of symmetry.

Therefore, axis of symmetry is x = -3.

Hence, x = 1 and x = -7 are the x - intercepts, the vertex is, (-3, -4), and axis of symmetry is x = -3.

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Answer:

Step-by-step explanation:

Take the amount, $4.75, multiplied by x will give you the total amount of money raised and just put that into the equation format:

$4.75 (x) = total amount of money raised

Answer:

360 of 10%

360 x 10/100

36

now, 360 - 36 = 324

therefore, 324 students attended haley elementry this yr.

Answer:

D

Step-by-step explanation:

Answer:

x=145 at 8 minutes

im not sure what tt means but please read my note at the end.

Step-by-step explanation:

if the initial temp is 65 and it increases at a rate of 10 per min the use

65+10(x)

let x be the number of minutes

65+10(8)

65 +80= 145

after 8 minutes the oven will be at 15 degrees. im not sure what tt is suppose to mean, but to find any other solution just plug it into x multiply x by 10 and add it to 65

we use the pooled proportion when we calculate the standard error for the difference in proportions when performing a hypothesis test  whne When the variances of both populations are the same

The standard error for the distinction within the proportions is calculated utilizing the population proportions but in cases where the population proportions are unknown, we utilize the test proportions to calculate the standard error. In the case of hypothesis testing, we are mindful of the population proportions whereas in evaluating the confidence interval for the distinction between the proportions we have no thought of the population proportions. So, the standard error for a hypothesis test of distinction in two proportions is distinctive from the standard error for a certain interval of the difference in two proportion.

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Answer:

Step-by-step explanation:

We start by developing an equation for Line 1, and then use that to find the equation for Line 2.  We'll use the form of an equation for a straight line:

 y = mx + b,

where m is the slope and b the y-intercept (the value of y when x=0).

Line 1

Determine the slope, m, by calculating the "Rise/Run" between the two points (-3,-7) and (5,3).

Line up the two points from left to right (based on x) and then calculate:

  Rise:  (3 - (-7)) = 10

   Run:  (5 -(-3) = 8

The slope, m, is Rise/Run or (10/8)

The equation becomes y = (5/4)x + b

We could calculate b, the y-intercept, by entering one of the two given points and solving for b, but the only thing we need from this line is it's slope, m.  Slope is (5/4), which we'll use in the next step:  Line 2.

[Note:  Out of curiosity, here is the calculation for b:  Use point (5,3) in y = (5/4)x + b and solve for b.   3 = (5/4)*5 + b.  3 = (25/4) + b  b = -13/4.  This means that Line 1 is y = (5/4)x -(13/4)]

Line 2

The slope of a line perpendicular to the first is the "negative inverse" of the first line.  In this case, line 1's slope of (13/8) would become a slope of -(8/13) for line 2.

    Line 2:  y = -(8/13)x + b

We'll calculate b for this line by enetering the single point provided,  (-4,-2), and solving for b:

          y = -(8/13)x + b

        -2 = -(8/13)*(-4) + b

          -2 = (32/13) + b

          -2 - (32/13) =  b

b = -(26/13) - (32/13)

b = -(58/13)

The new line perpendicular to Line 1 and passing through (-4,-2) is:

          y = -(8/13)x -(58/13)

See attached graph.

Answer: 47

Step-by-step explanation:

Answer:

$18.95

Step-by-step explanation:

5(10.25) + 2x = 89.15

51.25 + 2x = 89.15  Subtract 51.25 from both sides

2x = 37.90  Divide both sides by 2

x = 18.95

Check:

5(10.25) + 2( 18.95) = 89.15

51.25 + 37.90 = 89.15

89.15 = 89.15

89.15 - 5(10.25)

= 37.9

37.9/2

= 18.95 dollars for each parent

The value of sec θ is -5/3 ,and  the value of cot θ is 3/4 in the unit circle.

Given:

The point -3/5 , -4/5 in the third quadrant corresponds to angle θ on the unit circle.

here x = -3/5 and y = -4/5

radius r = [tex]\sqrt{(-3/5)^{2}+(-4/5)^{2} }[/tex]

= [tex]\sqrt{9/25 + 16/25}[/tex]

r = 1.(which is hypotenuse in unit circle).

sec θ = hypotenuse / adjacent

= 1/-3/5

sec θ = -5/3

cot θ = adjacent / opposite

= -3/5 / -4/5

= 3*5/5*4

= 15/20

cot θ= 3/4

Therefore the value of sec θ is -5/3 ,and  the value of cot θ is 3/4.

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To simplify the equations so that there would be no fractions, we

1. Multiply both sides by 8

2. Multiply both sides by 12

3. Multiply both sides by 10

4. Multiply both sides by 30

From the question, we are to determine what we could do first to each side of the equations so that there would be no fraction

1. (4x -4)/8 = (x +2)/4

Multiply both sides by the LCM of the denominators

The denominators are 8 and 4

The LCM of 8 and 4 is 8

Thus,

Multiply both sides by 8

8 × (4x -4)/8 = 8 × (x +2)/4

4x -4 = 2(x +2)

2. 3(4 - r)/6 = (4 + r) /4

Multiply both sides by the LCM of the denominators

The denominators are 6 and 4

The LCM of 6 and 4 is 12

Thus,

Multiply both sides by 12

12 × 3(4 - r)/6 = 12 × (4 + r) /4

2 × 3(4 - r) = 3(4 + r)

6(4 - r) = 3(4 + r)

3. (5q + 3)/10 = (q + 2)/5

Multiply both sides by the LCM of the denominators

The denominators are 10 and 5

The LCM of 10 and 5 is 10

Thus,

Multiply both sides by 10

10 × (5q + 3)/10 = 10 × (q + 2)/5

(5q + 3) = 2(q + 2)

4. 4(b - 7)/15 = (b + 3)/10

Multiply both sides by the LCM of the denominators

The denominators are 15 and 10

The LCM of 15 and 10 is 30

Thus,

Multiply both sides by 30

30 × 4(b - 7)/15 = 30 × (b + 3)/10

2 × 4(b - 7) = 3(b + 3)

8(b - 7) = 3(b + 3)

Hence, we will multiply both sides of the equation by 30

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Answer:

The factory makes 12,000 (12k) hats each day

Step-by-step explanation:

4000

× 3

--------

12,000

Answer:

Step-by-step explanation:

Comment

The graph below shows or implies that you start at very close to 4 and move downward and to your right

To find the beginning of the range, substitute 4 into the given equation

f(4) = 11 - 4

f(4) = 7

The range is

7 <y <-∞

The solution to the inequality is X  > 4

Inequality  is a set of mathematical expression which the individual side is not equal to other side

To solve for  x  in the inequality  x - 1 . 5 > 2, we followed the step;

Step 1: Add 1.5 to both sides

x - 1.5 + 1.5 > 2 . 5 + 1.5

X  > 4

Therefore, the solution to the inequality is X  > 4

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The remainder of the long division problem (x + 1)/x is given as follows:

1.

The representation of a long division problem is given as follows:

di(x)/d(x) = q(x) + (r(x)/b(x))

In which the meaning of each symbol is listed as follows:

In the context of this problem, the operation is presented as follows:

(x + 1)/x.

This division can be separated into two divisions that are added, hence:

(x + 1)/x = x/x + 1/x = 1 + 1/x.

Comparing to the standard symbols, we have that:

The expression is:

(x + 1)/x.

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Answer:

B 1

Step-by-step explanation:

When the statement is rewritten as a conditional statement in if-then form, the option that best describes the hypothesis is B. Two lines intersect at a point

A conditional statement is one that has the form "If P then Q," where P and Q are sentences. P is referred to as the hypothesis in this conditional statement, and Q is referred to as the conclusion. "If P then Q" implies that Q must be true whenever P is true.

There is a conditional statement. We will not play if it is raining. Let's say A: it's raining and B: we're not going to play. If A is true (it is raining) and B is false (we played), then the statement A implies B is false.

If the original sentence is restated as an if-then conditional statement, the hypothesis is best described as two lines intersecting at a point. As a result, the statement "Two lines intersect at a point" is the correct option (B) and the best option.

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Complete question

If the statement is rewritten as a conditional statement in if-then form, which best describes the hypothesis?

Two lines in a plane intersect at a point

A. Two lines in a plane intersect

B. Two lines intersect at a point

C. A point exists

D. Points are in a plane

Answer:

x=5

Whole angle/9x=45

Step-by-step explanation:

sum of all three angles in a triangle is 180 degrees so we can add all of these angles together and set it equal to 180 like this

9x+65+70=180

Simplify

9x+135=180

Subtract both sides of 135

9x+135=180

   -135.  -135

9x=45

since 9x equals 45 that is how much the angle is

Divide both sides by 9 to find x

9x=45

/9.  /9

x=5

Hopes this helps please mark brainliest

The speed of the wind is 50 mph.

Speed, expressed in terms of meters per second, is the rate at which an object's position changes. A thing moves one metre in one second, for instance, if it starts at the origin and moves three metres in three seconds. The formula for speed is as straightforward as dividing a distance by a time.

Given,

250 mph for the plane's speed when there is no wind

v is the wind speed.

Think about how the plane will move against the wind:

V' = the rate of flight of the aircraft against the wind = V + v = 250 + v

300 miles is the distance travelled in d'.

T is the passage of time over the distance.

The distance's travel time is specified as

t' = d'/V'

t' = 300/(250 + v) eq-1

Think about how the plane moves when flying against the wind:

V" is the speed of a plane travelling against the wind and equals V - v. This equals 250 - v.

D" = 200 miles of distance travelled

t" is the passage of time over the distance.

The distance's travel time is specified as

t'' = d''/V''

t'' = 200/(250 - v) eq-2

Due to this:

travelling time of 300 time required to drive 200 miles in miles

t' = t''

using eqs 1 and 2

300/(250 + v) = 200/(250 - v) (250 - v)

3/(250 + v) = 2/(250 - v) (250 - v)

750 - 3 v = 500 + 2 v

5 v = 250

v = 50 mph

The speed of the wind is 50 mph.

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There are 70 students in the school in total