PLEASE HELP ME!

Rolando imported 138 boxes of mangoes.

There were 24 mangoes in each box.


He reserved 72 mangoes for his friends and sold the rest to 3

customers.

If each customer bought an equal number of mangoes, how

many mangoes did each customer buy?

Answer:

20

Step-by-step explanation:

Answer:

The answer is 20

Step-by-step explanation:

The answer is 20 because if you keep adding 20 + 20 you will get 40 because  one min you have to keep adding until you get 40

Therefore, the simplified expression is 1.

The way of representing huge numbers in terms of powers is known as an exponent.

To simplify the expression 6^(9/5) * 6^(-4/5), we can use the property of exponents that states: a^(m/n) * a^(p/q) = a^((mq+np)/(nq)).

Applying this property, we have:

6^(9/5) * 6^(-4/5) = 6^((9*(-4) + (-4)9)/(5(-4))) = 6^(0/(-20))

Since any number (except zero) raised to the power of zero is equal to 1, we have:

6^(0/(-20)) = 6^0 = 1.

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The resulting matrix after performing the given elementary row operations is:

[2 0 -1|-7]

[0 4 -1|-1]

[0 8 -1|-0]

Performing the indicated elementary row operation(s), the given matrix can be transformed as follows:

[2 0 -1|-7]

[1 -4 0| 3]

[-2 8 0|-0]

2R₂ + R₁:

[2 0 -1|-7]

[0 4 -1|-1]

[-2 8 0|-0]

R₂ + R₁:

[2 0 -1|-7]

[0 4 -1|-1]

[0 8 -1|-0]

So, the resulting matrix after performing the given elementary row operations is:

[2 0 -1|-7]

[0 4 -1|-1]

[0 8 -1|-0]

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Answer:

ok ummm 5

Step-by-step explanation:

Answer$12.73

Step-by-step explanation:

$63.65/5(children) = $12.73

Answer:

$12.73

Step-by-step explanation:

$63.65/5=$12.73

Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.

It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.

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1. The probability that Layla gets more than 3 heads is 0.40 (rounded to the nearest hundredth).

P(X>3) = 0.40.Let X represent the number of heads Layla gets on flipping a coin that has a 60% chance of showing heads. She is going to flip the coin five times and we are supposed to find the probability that she gets more than 3 heads. The probability that Layla gets more than 3 heads is P(X>3).

Solution :We are given that the coin has a 60% chance of showing heads each time it is flipped. The probability of getting a head (success) is p = 0.6 and the probability of getting a tail (failure) is q = 0.4. As Layla is going to flip the coin five times, we have n = 5.On each flip, X can either be a head or a tail. Thus, X is a binomial random variable with parameters n = 5 and p = 0.6.P(X>3) can be calculated as:P(X > 3) = P(X = 4) + P(X = 5)P(X = 4) = nCx × p^x × q^(n-x) = 5C4 × 0.6^4 × 0.4^1 = 0.2592P(X = 5) = nCx × p^x × q^(n-x) = 5C5 × 0.6^5 × 0.4^0 = 0.07776P(X > 3) = P(X = 4) + P(X = 5) = 0.2592 + 0.07776 = 0.33696 ≈ 0.40

2. Probability of surgery being effective on 12 patients = 0.00000078643 and the probability that surgery is effective on at least 12 patients out of 20 is 0.1985502502.

Let p be the probability that a surgical intervention results in an increased quality of life in a patient, which is given as 60%. Let X be the number of patients out of 20 who have an increased quality of life after undergoing the surgery. We are supposed to find the probability that surgery is effective on 12 patients out of 20.

Solution :Let X be the number of patients out of 20 who have an increased quality of life after undergoing the surgery. Then X is a binomial random variable with parameters n = 20 and p = 0.6.The probability of surgery being effective on exactly 12 patients can be calculated as:P(X = 12) = nCx × p^x × q^(n-x) = 20C12 × 0.6^12 × 0.4^8 = 0.00000078643 (rounded to 11 decimal places)

The probability of surgery being effective on at least 12 patients can be calculated as:P(X ≥ 12) = P(X = 12) + P(X = 13) + ... + P(X = 20)Using a binomial probability distribution table, we can calculate this probability as:P(X ≥ 12) = 0.00000078643 + 0.0000105188 + 0.0000976064 + 0.0007052774 + 0.0038752048 + 0.0163110784 + 0.052553726 + 0.125428942 = 0.1985502502Therefore, the probability that surgery is effective on 12 patients out of 20 is 0.00000078643

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Answer:

Slope: - 5/2

Step-by-step explanation:

Answer:

356 Seventh Graders

Step-by-step explanation:

All I did was find out what number 64 was 18% of, and that gave me the answer. I took 64 and put it over 18%, and set it across from X over 100%. I did the cross multiplication, and got 355.56, but rounded it to get 356. So there are 356 total seventh graders. Hope this is helpful...have a great day! :))

A. A one-sample z-test for a population mean

A one-sample z-test is used to compare the sample mean to a known population mean. In this case, the researchers have a known population mean (the mean battery life of the older version of the battery) and they are trying to determine if the mean battery life of the new battery is greater than that. Therefore, a one-sample z-test is the appropriate test.

The researchers selected random samples of 32 of the new batteries, subjected the batteries to continuous use, and determined the mean and standard deviation of the battery lives in the sample. The one-sample z-test is used to compare the sample mean to a known population mean. The researchers can use this test to determine if the mean battery life of the new battery is b significantly greater than the known mean battery life of their older version. The z-test will calculate the probability of the observed results occurring if the mean battery life of the new battery is actually equal to the known mean battery life of their older version. If the probability is low enough, the researchers can reject the null hypothesis (that the mean battery life of the new battery is equal to the known mean battery life of their older version) and conclude that the mean battery life of the new battery is greater than the known mean battery life of their older version.

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Answer:

33.6

Step-by-step explanation:

thats what 40% of 84 is x.

Answer: 33.6

explanation: Convert 40% to a decimal and multiply that number by 84

The required differential equation is x'' + 0.67x' + 2.33x = 0.

The standard differential equation, which we use to represent a damped spring-mass system is written as:

m(d²x/dt²) + c(dx/dt) + kx = 0,

where m is the mass, c is the damping coefficient, k is the spring constant, x is the d²splacement, and the equation has been derived with respect to time t.

In the question, the

mass m = 3 kg,

spring constant k = 7 N/m,

damping constant c = 2N-s/m.

Differentiating x with time t, we take (d²x/dt²) = x'', and (dx/dt) = x'.

Substituting all the values in the standard differential equation, we get:

3x'' + 2x' + 7x = 0,

or, x'' + (2/3)x' + (7/3)x = 0 {Dividing by 3},

or, x'' + 0.67x' + 2.33x = 0, which is the required differential equation.

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The provided question is incorrect. The correct question is:

"Suppose a spring with a spring constant of 7 N/m is horizontal and has one end attached to a wall and the other end attached to a 3 kg mass. Suppose that the friction of the mass with the floor (i.e., the damping constant) is 2 N⋅s/m. Set up a differential equation that describes this system. Let x denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x, x′, x′′. Assume that positive displacement means the mass is farther from the wall than when the system is at equilibrium."

Answer: I'd say reflection

Answer:

It is a reflection

Step-by-step explanation:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Answer:

the answer is 9/14

Step-by-step explanation:

2/7× 2 1/4 = 2/7× 9/4

= 2 × 9 / 7 × 4

= 18/28

= 9/14

Answer:

9 degrees

Step-by-step explanation:

Answer:

\(\displaystyle \frac{1}{10}(x+9)\)

Step-by-step explanation:

\(\displaystyle \frac{1}{10}x+\frac{9}{10}=\frac{1}{10}(x+9)\) because \(\displaystyle \frac{1}{10}(x+9)=\frac{1}{10}(x)+\frac{1}{10}(9)\) by the Distributive Property

The solution sets for the inequality 10+y<10-3y and -6≥10-8x are y>-2.5 and x≤0.75, respectively.

Inequality is a mathematical concept used to compare two expressions and determine whether one is larger or smaller than the other. It is represented by symbols such as <, >, ≤, and ≥.

To find the solution set of 10+y<10-3y, we must first isolate the variable y on one side of the equation.

To do this, we need to subtract 10 from both sides of the equation, leaving us with y<-10-3y.

We can then divide both sides by -4 to get

=> y>-2.5.

Thus, the solution set of 10+y<10-3y is y>-2.5.

To find the solution set of -6≥10-8x, we must first isolate the variable x on one side of the equation.

To do this, we need to subtract 10 from both sides of the equation, leaving us with

=> -6≥-8x.

We can then divide both sides by -8 to get

=> x≤0.75.

Thus, the solution set of -6≥10-8x is x≤0.75.

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Answer:

a) X=75°

y= 105°

b) b= 120°

a=45°

d) r=75°

q=37°

p= 37°

e) y=100°

X= 143°

Step-by-step explanation:

soln no. a

here,

X+50+55=180(sum of all angle of triangle)

or, X= 180-105

or, X= 75°

again,

X+y = 180 (straight angle)

or, y= 180-75

or, y= 105°

soln no b

here,

b+60=180(straight angle)

or, b = 180 - 60

or, b = 120°

again,

a+60+75=180(sum of all angle of triangle)

or, a = 180- 135

or, a = 45°

soln no. d

here,

r=70°( alternate angle)

again,

73°+q+r=180( sum of all angle of triangle)

or,q=180-143

or,q=37°

again,

p=q=37(alternate angle)

soln no. e

y+80=180(straight angle)

or,y= 180-80

or, y = 100°

again,

63+80+<RMB=180(sum of all angles of triangle)

or, 143+<RMB=180

or, <RMB=180-143

or,<RMB= 37°

again,

X+ <RMB= 180(straight angle)

or,X= 180°-37°

or, X = 143°

Answer:

34.65

Step-by-step explanation:

Answer:

34.65

is the correct answer.

Answer:

5 2/7

Step-by-step explanation:

First, we can find how many whole 7's would fit into 37.

We find that five 7's fit into 37.

5*7=35

37-35=2

So, our mixed number is 5 2/7

The height of first graders in a class, represented by x, would be considered a Continuous variable. Continuous variables can take on any value within a specified range and are often used to measure physical attributes, such as height.

Let x represent the height of first graders in a class. Discrete variables are those that can be measured using whole numbers, such as the number of people in a room, the number of items on a grocery list, or the number of pages in a book. Continuous variables, on the other hand, are those that can take on any value, such as height, weight, and time.Continuous variables are those that can take on any value between two points on a measurement scale. For example, the height of first graders in a class can be measured in inches or centimeters and can take on any value between the smallest and largest heights in the class.

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Answer:

Step-by-step explanation:

Remark

2 of the sides are equal. That means that the two angles opposite the equal sides  are equal as well.

Every triangle has 180 degrees

Solution

The unmarked angle = 61 degrees

x + 61 + 61 = 180                 The three angles add to 180

x + 122 = 180                       Subtract 122 from both sides

x + 122-122 = 180 - 122       Combine

x = 58        

Answer:

\((a)\ Area = \pi (6-x)^2\)

(b) 4 times

Step-by-step explanation:

The question is illustrated with the attached figure

Solving (a): The area of the pupil

First, we need to calculate the radius (r) of the pupil.

Since the smaller circle is the pupil, then

\(r = 6 - x\)

Area is then calculated as:

\(Area = \pi r^2\)

\(Area = \pi (6-x)^2\)

Solving (a): The area of the pupil

First, we need to calculate the radius (r) of the pupil.

Since the smaller circle is the pupil, then

\(r = 6 - x\)

Area is then calculated as:

\(Area = \pi r^2\)

\(Area = \pi (6-x)^2\)

Solving (b): How many times greater is the area of the pupil, if x decreases from 4 to 2

Initially,

\(x = 4\)

So, the area of the pupil is:

\(Area = \pi (6-x)^2\)

\(Area = \pi(6 - 4)^2\)

\(Area = \pi(2)^2\)

\(Area = 4\pi\)

When x reduces to 2, the area of the pupil is:

\(Area = \pi (6-x)^2\)

\(Area = \pi (6-2)^2\)

\(Area = \pi (4)^2\)

\(Area = 16\pi\)

Calculate the ratio (r) of both areas:

\(r = \frac{16\pi}{4\pi}\)

\(r = 4\)

Hence, it is 4 times greater

We want to answer different things regarding circles, we will see that the area of the pupil is:

A = pi*(6mm -x)^2

And that the area of the pupil is 4 times larger after entering the dark room.

We know that the radius of the pupil is R = 6mm - x

The area of the pupil is given by:

A = pi*(6mm - x)^2

This is the polynomial we wanted.

Now we know that the width of the iris decreases from 4mm to 2mm when you enter a dark place, so x goes from 4mm to 2mm, then the two areas are:

The quotient between the areas is:

A'/A = (50.24 mm^2)/(12.56 mm^2) = 4

So the area of the pupil is 4 times larger after entering the room than before entering the room.

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Given:

Diameter of the hole = 30 cm

To find:

The area of the hole.

Solution:

The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:

\(r=\dfrac{30}{2}\)

\(r=15\)

Area of a circle is:

\(A=\pi r^2\)

Putting \(\pi = 3.14\) and \(r=15\) in the above formula, we get

\(A=(3.14)(15)^2\)

\(A=(3.14)(225)\)

\(A=706.5\)

Therefore, the area of the hold is 706.5 square cm.

The order of rational symmetry of each of the shape are as follows:

This is how many times any object or shape can be rotated to remain like the original shape.

A circle has infinite order of rational symmetry

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The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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the Department of Education receives about 65 percent of the federal funds transferred to state governments.

First, you need to identify what type of information is being asked for in the question. In this case, the question is asking which department receives a certain percentage of federal funds transferred to state governments.

Next, you need to research the answer. You can find the answer to this question by looking at the U.S. Department of Education website or other reliable sources.

The answer is that the Department of Education receives about 65 percent of the federal funds transferred to state governments.

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