The choir practiced 3 times this week. On Monday,the choir practiced 3/4 hour. On Wednesday, they practiced 1/2 hour more than on Monday. On Friday, they practiced twice as long as on both Monday and Wednesday combined. Altogether,how long did the choir practice this week?

Answer:

3.75 or \(3\frac{3}{4}\)

Step-by-step explanation:

The length is 2.5

The width is 1

The depth is 1.5

2.5 x 1 x 1.5 = 3.75

As a mixed fraction = \(3\frac{3}{4}\)

Answer:

3 3/4

Step-by-step explanation:

iready Diagnostic

Step-by-step explanation:

step 1. The square matrices are C and D.

step 2. If you add up the top rows you get 2, 8, -4 .

step 3. The answer is B.

The required sum of the two square matrices is,
\(\left[\begin{array}{ccc}2&8&-4\\1&0&3\\-1&-2&1\end{array}\right]\). Option B is correct.

Consider matrices A, B, C, and D,
\(A=\left[\begin{array}{cc}-1&4\\5&-2\\3&4\end{array}\right]\) , \(B =\left[\begin{array}{cc}4&4\\4&4\\4&4\end{array}\right]\), \(c= \left[\begin{array}{ccc}-1&2&5\\0&-4&1\\-4&3&1\end{array}\right]\), \(D = \left[\begin{array}{ccc}3&6&-9\\1&4&2\\3&-5&0\end{array}\right]\)

Matrix is defined as the arrangement of the number in the array between the square parenthesis.

Since Matrix C and D is a square matrix of 3 * 3 order.

\(C + D =\left[\begin{array}{ccc}-1&2&5\\0&-4&1\\-4&3&1\end{array}\right]+\left[\begin{array}{ccc}3&6&-9\\1&4&2\\3&-5&0\end{array}\right]\)
\(C + D =\left[\begin{array}{ccc}-1+3&2+6&5-9\\0+1&-4+4&1+2\\-4+3&3-5&1+0\end{array}\right]\)
\(C+D=\left[\begin{array}{ccc}2&8&-4\\1&0&3\\-1&-2&1\end{array}\right]\)

Thus, the required sum of the two square matrices is,\(\left[\begin{array}{ccc}2&8&-4\\1&0&3\\-1&-2&1\end{array}\right]\). Option B is correct.

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Answer:

Sally is 25/24 times as tall as May

Step-by-step explanation:

Let x be the height of Jenny

We are given that sally is 5/6 as tall as Jenny

So, Sally's height =\(\frac{5}{6}x\)

We are also given that May is 4/5 as tall as Jenny

So, May's height =\(\frac{4}{5}x\)

\(\frac{\text{Sally's height }}{\text{May's height}}=\frac{\frac{5}{6}x}{\frac{4}{5}x}=\frac{5}{6} \times \frac{5}{4}=\frac{25}{24}\)

So, Sally is 25/24 times as tall as May

Step-by-step explanation:

If they are similar, then 10 is to 3      as  x is to 15

10/3 = x/15    multiply both sides by 15

 50 mm = x

The value of z from the triangle is z = 70

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ΔIGJ

Let the second triangle be represented as ΔHGK

Now , K is the midpoint of GJ and H is the midpoint of GI

So , IH = GH and GK = KJ

And , the triangles ΔIGJ and ΔHGK are similar

So , corresponding sides of similar triangles are in the same ratio

Substituting the values in the equation , we get

The measure of HK = ( 1/2 ) measure of side IJ

And , ( z - 37 ) = ( 1/2 ) x ( z - 4 )

On simplifying the equation , we get

Multiply by 2 on both sides of the equation , we get

2z - 74 = z - 4

Subtracting z on both sides of the equation , we get

z - 74 = -4

Adding 74 on both sides of the equation , we get

z = 70

Hence , the value of z is 70

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The most appropriate statistical test to apply in this situation is an independent samples t-test. This test is used to compare the means of two independent groups on a continuous dependent variable, which in this case is the average number of correct solutions.

The study participants were randomly assigned to two different conditions, and the goal is to compare the means of the two groups (those who had a practice session and those who did not) on the dependent variable of problem-solving performance (measured by the average number of correct solutions).

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(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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Ben's economic surplus from consuming tea can be calculated by determining the difference between his total benefit (TB) and the total expenditure on tea.

To calculate Ben's economic surplus, we need to determine the total benefit (TB) and the expenditure on tea. The equation given for total benefit is TB(n) = 229n - 10\(n^2\), where n represents the number of cups of tea consumed.

The expenditure is obtained by multiplying the price per cup (HKD 30) with the quantity consumed (n cups). Therefore, the expenditure is 30n HKD.

To find the economic surplus, we subtract the expenditure from the total benefit: TB - Expenditure = 229n - 10\(n^2\) - 30n.

Simplifying the expression, we have -10\(n^2\) + 199n.

The economic surplus is calculated by substituting the value of n into the equation. Since the value of n is not provided in the question, it is not possible to determine the exact economic surplus in Hong Kong dollars without knowing the specific quantity of tea consumed by Ben.

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Answer:

Hey!

Your answer should be

Step-by-step explanation:

To find the BASE: 8 x 4 = 32cm^2

To find the angled TOP FACE: 10 x 4 = 40 cm^2

To find the TRIANGLES: (6x8)/2 x 2 = 48 cm^2

To find the REAR FACE: 6 x 4 = 24 cm^2

TOTAL: 32 + 40 + 48 + 24

SUFACE AREA: 144cm^2

Hope this helps!

Answer:

192 cm ^3

Step-by-step explanation:

find area of cross section x depth

6 times 8 is 48

depth is 4

48 x 4 is 192

The difference in the maximum values of the function g(x) and f(x) is  11 .

In the question ,

it is given that

the function f(x) is = -(x-5)² + 4

So,  f(-3) = -(-3-5)² + 4 = -60

f(-2) = -45

f(-1) = -32

f(0) = -21

f(1) = -12

f(2) = -5

So , from the above  data we can see that the maximum value of f(x) is -5

and form the table , we can see that the maximum value of g(x) is 6 .

So , the difference between the maximum value of f(x) and g(x) is

= 6 - (-5)

= 6 + 5

= 11

Therefore , the difference in the maximum values of g(x) and f(x) is  11 .

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area=l×w

l=area/w

l=105/5

l=15

perimater=l+w

perimater=15+7

perimeter=22

Answer:

n=4750

n+ 4250=9000

-4250= 4250

n= 4750

Answer:

Step-by-step explanation:

idea

Answer:

Therefore, the elevation of the car on the stretch of road, rounded to the nearest tenth, is approximately 29.7 meters.

Step-by-step explanation:

To find the elevation of the car on a stretch of road that extends horizontally 125 meters, we can use trigonometry.

Given:

Angle of the road = 13°

Horizontal distance = 125 meters

We can use the tangent function to calculate the elevation:

tan(angle) = opposite / adjacent

In this case, the opposite side represents the elevation, and the adjacent side represents the horizontal distance.

Let's denote the elevation as "e". The equation becomes:

tan(13°) = e / 125

To solve for "e", we can rearrange the equation:

e = 125 * tan(13°)

Using a calculator, we can evaluate this expression:

e ≈ 125 * tan(13°) ≈ 29.7

The answer is;

62.83

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now,

The first 6 prime numbers are  2, 3, 5, 7, 11 ,13

The square of 6 prime number

4, 9 ,25, 49 , 121 , 169

The mean difference of these number is

⇒ (4 + 9 + 25 + 49 + 121 + 169) / 6

⇒ 62.83

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Answer:

10x + 7

Step-by-step explanation:

3(2x + 5) added to 2(2x - 4) is the same as 3(2x +5) + 2(2x - 4)

Remember PEMDAS

P – Parentheses  (distribution)

E – Exponents

M – Multiplication

/D – Division  (whichever comes first from left to right)

A – Addition

/S – Subtraction (whichever comes first from left to right)

First, we will distribute the left side.

3(2x + 5)

3 * 2x = 6x

3 * 5 = 15

Add them together to get:

6x + 15

6x + 15 + 2(2x - 4)

We must now distribute the right side.

2 * 2x = 4x

2 * -4 = -8

Add them together to get:

4x  -8

We now have:

6x + 15 + 4x - 8

Let's combine like terms.

6x and 4x are like terms.

Combine: 6x + 4x = 10x

15 and -8 are like terms.

15 - 8 = 7

Now we have 10x + 7

Since 10 and 7 don't have any GCF, we have our answer.

10x + 7

~ \(InLoveWithPugs\)

Moderator

Math Enthusiast

When three standard six-faced dice are rolled, the probability that the sum of the three numbers rolled is 9 is equal to 10/216 or 5/108.

Total number of ways three dice can be rolled = 6 × 6 × 6 = 216.

Each dice can have any number from 1 to 6. The probability of rolling a particular number on a dice = 1/6.

The probability of rolling a particular number on three dice = (1/6) × (1/6) × (1/6) = 1/216.

In order to get a sum of 9, there are four combinations that can be rolled:

3 + 3 + 3 = 9

3 + 4 + 2 = 9

3 + 5 + 1 = 9

4 + 3 + 2 = 9

The probability of rolling any of these combinations = probability of rolling 3-3-3 + probability of rolling 3-4-2 + probability of rolling 3-5-1 + probability of rolling 4-3-2

= (1/216) + (3/216) + (3/216) + (3/216)

= 10/216 or 5/108.

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Answer:

Each candy bar cost 4 dollars.

Step-by-step explanation:

First,

31-3 = 28

Next,

28/7 = 4

Therefore, each candy bar cost 4 dollars.

Answer:

x=negative 2/3,y= positive 86/3

Step-by-step explanation:

On average, you will earn $0.46 each time you play this game.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula.

Here,

the expected value of playing this game,

=a weighted average of the winnings (or losses) multiplied by the odds of winning

=1/37*4+10/37*3+26/37*-1

=17/37

=$0.46

You will win $0.46 each time you play this game, on average.

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The Height and volume of the pyramid is ,

i) Height = 15.35cm

ii) Volume= 690.75 \(cm^3\).

What is pyramid ?

 A three-dimensional shape is a pyramid. Flat triangular sides that are joined at a common point known as the apex define the polygonal base of a pyramid. By fusing the bases together at the peak, a pyramid is created. The lateral face, a triangular feature formed by the connection of each base edge to the apex, is present.

Here slant height l = 16cm and sides of the rectangular base is ,

length l = 15cm and width w = 9 cm.

Side length = 9/2 = 4.5cm

Using Pythagorean theorem ,

=> Height h =  \(\sqrt{16^2-4.5^2}\)

=> height h = 15.35 cm

Now volume of pyramid is ,

=> V = 1/3 * Base area * height cubic unit

=> V = 1/3 *15*9*15.35

=> V = 690.75 \(cm^3\)

Hence the Height and volume of the pyramid is ,

i) Height = 15.35cm

ii) Volume= 690.75 \(cm^3\).

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The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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Answer:

B and C

Step-by-step explanation:

(15)

The opposite sides of a parallelogram are equal , so

CD = AB , that is

7x - 54 = 5x - 2 ( subtract 5x from both sides )

2x - 54 = - 2 ( add 54 to both sides )

2x = 52 ( divide both sides by 2 )

x = 26

Then

CD = 7x - 54 = 7(26) - 54 = 182 - 54 = 128 → B

(16)

Consecutive angles are supplementary, sum to 180° , then

6y + 19 + 2y + 9 = 180

8y + 28 = 180 ( subtract 28 from both sides )

8y = 152 ( divide both sides by 8 )

y = 19

Then

∠ B = 6y + 19 = 6(19) + 19 = 114 + 19 = 133°

Opposite angles are congruent , so

∠ D = ∠ B = 133° → C

Answer:

Scenario 1/129 veggie rolls/Scenario 2/59 Shrimpy BOis

Step-by-step explanation:

1/

129x .75 = 96.75=97

.95 x 56 = 53.2=53

2/

59 x .95 = 56.05=56

.75 x 38 = 28.5=28

Edit: Please mark brainliest!!!!

Answer:

6:00 am

Heeeeyyyyyy, so i had the same problem from rsm, but like anyways, here it is

Let the distance between

Answer:

The answer is in the attachment.

Step-by-step explanation:

When you write y = -2 as an equation, there are many examples, like:

y + 4 = 2

2y = -4 and many more.

answer is $30

looks like u cheating

Chris's research costs can be calculated using the percentage increase in his return and the desired hourly wage. The cost of his research will be $375.45. As a result of the research, Chris's return will increase by $257.96. On a strict economic basis, Chris should perform the proposed research as the increase in return outweighs the cost.

To calculate the cost of Chris's research, we need to determine the amount of time he devotes to it. Let's assume he spends x hours on research. The cost of his research can be calculated by multiplying his desired hourly wage ($31.00) by the number of hours spent:

Cost of research = $31.00 × x

Now, to find x, we need to consider the percentage increase in Chris's return. The percentage increase is given as a range from 6.1% to 8.7%. Let's take the average of these percentages, which is (6.1% + 8.7%) / 2 = 7.4%. This means Chris's return will increase by 7.4% as a result of the research.

To find x, we can set up the following equation:

1.074 × initial return = final return

Simplifying the equation, we have:

initial return = final return / 1.074

Since the initial return is given as a percentage, we can express it as 100% (or 1 in decimal form). The final return can be expressed as 100% + 7.4% = 107.4% (or 1.074 in decimal form).

So, the equation becomes:

1 = 1.074 / initial return

Solving for initial return, we find:

initial return = 1.074

Now, we can substitute the initial return into the equation for cost of research:

Cost of research = $31.00 × x = $31.00 × (initial return - 1) = $31.00 × (1.074 - 1) = $31.00 × 0.074 = $2.294

Rounding this to the nearest cent, the cost of Chris's research is approximately $2.29.

Next, to find the increase in Chris's return as a result of the research, we can calculate:

Increase in return = final return - initial return = 1.074 - 1 = 0.074

Finally, we can calculate the increase in dollars:

Increase in dollars = Increase in return × initial return = $31.00 × 0.074 ≈ $2.30

Rounding this to the nearest cent, Chris's return will increase by approximately $2.30.

On a strict economic basis, Chris should perform the proposed research. The cost of research is $2.29, while the increase in return is $2.30. Therefore, the increase in return outweighs the cost, resulting in a positive net benefit.

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