The 7th grade class experienced a 15% decrease in enrollment.Last year,the 7th grade class had 280 students. How many how many students are enrolled in the 7th grade this year?

Answer:

addition

Step-by-step explanation:

altogether means to put things together or to combine.

addition is taking two or more things and combining them.

Answer:

The keyword "altogether" refers to addition.

Step-by-step explanation:

altogether = the sum of something

Answer:

x = -3, x = 7

Step-by-step explanation:

( 5x + 15 ) ( x - 7 ) = 0

5x + 15 = 0

5x = -15

x = -3

x - 7 = 0

x = 7

Answer:

x=−3 or x=7

Step-by-step explanation:

(5x+15)(x-7)=0

5x2−20x−105=0

5(x+3)(x−7)=0

x+3=0 or x−7=0

x=−3 or x=7

Step-by-step explanation:

so...the answer is C.27.7m

Answer:

27.7

................

The probability that the distance exceeds the mean distance by more than 2 standard deviations for banner-tailed kangaroo rats is approximately 0.0472.

we can calculate the probability using the properties of the exponential distribution. The mean of an exponential distribution is equal to 1/λ, where λ is the parameter of the distribution. In this case, the parameter λ is given as 0.01327, so the mean is 1/0.01327 ≈ 75.4457.

The standard deviation of an exponential distribution is also equal to 1/λ. Therefore, the standard deviation in this case is also approximately 75.4457.

To find the probability that the distance exceeds the mean distance by more than 2 standard deviations, we need to calculate the probability of the event X > μ + 2σ.

Substituting the values, we have X > 75.4457 + 2(75.4457).

Simplifying the expression, we get X > 226.3371.

Using the exponential distribution formula, P(X > x) = e^(-λx), we can calculate the probability:

P(X > 226.3371) = \(e^(-0.01327 * 226.3371)\) ≈ 0.0472.

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Using proportions, it is found that the value of yz is given as follows:

yz = 38/13.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Considering that y is between x and z, the lengths can be related as follows:

xz = xy + yz.

Hence, considering that xz and xy are given in the problem, we can find yz as follows:

3 = 1/13 + yz

yz = 3 - 1/13

yz = 39/13 - 1/13

yz = 38/13.

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The scenario in this problem is described as follows:

There are 50 total animals in the barn, and there are 160 legs in total.

The system of equations that describes this situation is given as follows:

The variables that describe the system of equations are given as follows;

There are 50 total animals in the barn, hence:

x + y = 50.

There are 160 legs in total. Considering that each cow has four legs, while each chicken has two legs, we have that:

4x + 2y = 160.

The system of equations is composed by these two equations and can be solved using any method to identify the amounts of each animal.

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In this problem, we have a binomial probability distribution

so

n=3

p=0.50

q=0.50

Find out P(X=2)

The y-intercept of the line 4x + 2y ≥ 14 is y ≥ 7.

The y-intercept is the point where the graph intersects the y-axis. In other words, the y-intercept of a line is the value of y when x equals to zero.

In simpler term, the y-intercept of a function is the point(s) where the graph of the function crosses the y-axis.

Therefore, let's find the y-intercept of the inequality.

4x + 2y ≥ 14

let's substitute x as 0.

Therefore,

4x + 2y ≥ 14

4(0) + 2y ≥ 14

2y ≥ 14

divide both sides by 2

2y / 2 ≥ 14 / 2

Hence,

y ≥ 7

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Answer:

Step-by-step explanation:

21

Answer:

21

Step-by-step explanation:

According to the Centers for Disease Control and Prevention (CDC), about 73.6 percent of adults in the United States are overweight or obese. So, the correct answer is D).

This means that a majority of adults in the U.S. have a body mass index (BMI) above the healthy range, which is defined as a BMI of 18.5-24.9, which puts them at increased risk for a range of health issues, including heart disease, diabetes, and some types of cancer.

The prevalence of overweight and obesity has been increasing in the United States in recent decades, and it is a significant public health concern. Obesity is a complex issue with many causes, including genetics, environment, and lifestyle factors such as diet and physical activity levels. So, the correct answer is D).

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--The given question is incomplete, the complete question is given

"  According to the Centers for Disease Control and Prevention (CDC), approximately what percentage of u.s. adults is overweight? select one: a. 24 percent b. 44 percent c. 64 percent d. 73.6 percent "--

Assess the treatment processes: Coagulation and Flocculation

Designed Treatment Capacity = 2,562,200 * 1.3 = 3,332,860 liters per day

To design a water treatment plant for the town with a population of 20,500 persons, considering a population growth rate of 1.5% annually, an average per capita water consumption (PCWC) of 120 liters per day, and the requirement to treat 1.3 times the average water requirement, the following steps need to be taken:

Estimate the future population:

Population in 2024 = Population in 2020 * (1 + Growth Rate)^(Years)

Population in 2024 = 20,500 * (1 + 0.015)^(2024 - 2020)

Population in 2024 ≈ 20,500 * (1.015)^4 ≈ 21,385 persons

Calculate the average water requirement:

Average Water Requirement = Population * PCWC

Average Water Requirement = 21,385 * 120 = 2,562,200 liters per day

Determine the designed treatment capacity:

Designed Treatment Capacity = Average Water Requirement * 1.3

Designed Treatment Capacity = 2,562,200 * 1.3 = 3,332,860 liters per day

Assess the treatment processes:

To adequately remove very fine suspended solids and microorganisms, a typical water treatment process may include:

Coagulation and Flocculation

Sedimentation

Filtration (such as rapid sand filtration or multi-media filtration)

Disinfection (such as chlorination or ultraviolet disinfection)

A water treatment plant needs to be designed to accommodate the projected water demand for a population of approximately 21,385 persons in 2024. The designed treatment capacity should be 3,332,860 liters per day, which is 1.3 times the estimated average water requirement. The treatment processes should include coagulation and flocculation, sedimentation, filtration, and disinfection to adequately remove very fine suspended solids and microorganisms. It is crucial to consider the specific requirements and regulations of the local authorities while designing and constructing the water treatment plant.

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Answer:

(-5, 2)

Step-by-step explanation:

Attached is a plot that compares the two variables, income and revenue using the test statistic.

(A) A statistic (a quantity obtained from the sample) used in statistical hypothesis testing is known as a test statistic.

A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.

In general, a test statistic is chosen or defined in a way that quantifies, within observed data, behaviors that would separate the null from the alternative hypothesis, where such an alternative is prescribed, or that would characterize the null hypothesis if there isn't an explicitly stated alternative hypothesis.

(B) Weakly positive association, r = 0.423.

(C) df = n-2 = 25-2 = 23 One-tailed Critical Value: = 0.05 T = 1.319

T, the test statistic, is defined as r*Sqrt[(n-2)/(1-r2)] = 0.423*Sqrt[(25-2)/(1-0.4232)]. = 2.24

We can infer that there is a positive link between the variables because 2.24 > 1.319.

(D) The variation in the number of rooms occupied accounts for around 18% of the variation in revenue, according to the formula r2 = 0.4232 = 0.179.

Therefore, attached is a plot that compares the two variables, income and revenue using the test statistic.

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Answer:

160.

Step-by-step explanation:

The area of the base is 64 since each side is 8, 8x8 is equal to 64. Then you have the lateral faces with a length of 8, and a height of 6, which is 48, but since they are triangles, you divide by 2, finally add 24+24+24+24+64 and your final answer is 160.

Answer:

The total area codes that are currently available is 692.

Step-by-step explanation:

The area code is of the form: NXX.

The variable N can take values,

N = {2, 3, 4, 5, 7, 8 and 9}

The variable X can take values,

X = {0, 1, 2, 3, 4, 5, 7, 8 and 9}

Considering that repetitions are allowed.

The total possible number of area codes is:

T = 8 × 10 × 10 = 800

So, there are 800 possible area codes.

The exception codes are:

{37X, 96X, N9X and N11}

So, the number of reserved area codes is, 10 + 10 + 80 + 8 = 108.

Then the area codes that are currently available is, 800 - 108 = 692

Thus, the total area codes that are currently available is 692.

Answer:

Step-by-step explanation:

simplify the following

3ab+2ab-ab =                            (3 + 2 = 5)

5ab - ab =                                  (5 - 1 = 4)

4ab

Answer:

turn 3% into decimal by diving 3 by 100

3/100=0.03

0.03X3460=103.80

3460-103.80=3356.20

3356.20-100=3256.2

A sample size of approximately 4,148 newborns is required to obtain a 99% confidence interval for the proportion of all newborns who are breast-fed exclusively in the first two months of life to within 2 percentage points.

To calculate the required sample size for a 99% confidence interval with a margin of error (precision) of 2 percentage points for the proportion of newborns breast-fed exclusively in the first two months of life,

we will use the following formula:
\(n = (Z^2 * p * (1-p)) / E^2)\)
where:
n = required sample size
Z = Z-score for the desired confidence level (in this case, 99%)
p = estimated proportion (since we don't have this value, we will use 0.5 for the most conservative estimate)
E = margin of error (2 percentage points, or 0.02 in decimal form)
For a 99% confidence interval, the Z-score is 2.576.

Now, let's plug these values into the formula:
\(n = (2.576^2 * 0.5 * (1-0.5)) / 0.02^2\)
n = (6.635776 * 0.5 * 0.5) / 0.0004
n = 1.658944 / 0.0004
n ≈ 4147.36
Since we cannot have a fraction of a person, we will round up to the nearest whole number.

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Answer:

we can see it pls try to show it closer pls

Answer:

1376

Step-by-step explanation:

32 · 43 = 32 x 43

=> 32 x 43 = 1376.

Therefore, 1376 is our answer.

Hoped this helped.

Answer:

if your asking about what has the same answer as 32×42 then -32×-42 will get you the same answer

The width of the bumper sticker is 6 1/4 inches .

In order to determine the width of the bumper sticker, the first step is to determine the relationship between the height of the design and that of the bumper sticker.

The relationship can be determined by dividing the height of the bumper sticker by the height of the design.

Proportion of the heights = 3 1/2 ÷ 2

5/2 ÷ 2

= 5/2 x 1/2 = 5/4 = 1 1/4

Now, multiply the proportion of the heights by the width of the design :

Width of the design = 1 1/4 x 5

5/4 x 5/1 = 25/4 = 6 1/4 inches

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Answer: 6 1/4

Step-by-step explanation: stickers that can be custom screen printed. The most common or average size is probably the 3″ X 11.5″

Answer:

Don't be lazy and read      

Step-by-step explanation:

a. The decimal is terminating and the rational number is 0.

b. The decimal is terminating and the rational number is 0.

c. The decimal is repeating and the rational number is 0.161616...

d. The decimal is terminating and the rational number is 0.

To write a rational number as a decimal, you need to divide the numerator by the denominator. Let's go through each option to determine which decimal is repeating or terminating.

a. 0: This decimal is terminating because there are no numbers after the decimal point. The rational number is 0.

b. 0: This decimal is also terminating because there are no numbers after the decimal point. The rational number is 0.

c. 0.16 overbar: This decimal has a line over the 16, indicating that it is repeating. The rational number is 0.161616...

d. 0: This decimal is terminating because there are no numbers after the decimal point. The rational number is 0.

So, to summarize:

a. The decimal is terminating and the rational number is 0.

b. The decimal is terminating and the rational number is 0.

c. The decimal is repeating and the rational number is 0.161616...

d. The decimal is terminating and the rational number is 0.

.

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Answer:

y= 2200 (3/4)x

Step-by-step explanation:

You can model a real-world situation involving an initial value and a constant growth or decay factor with an exponential equation in the form y=a(b)x, where b>0 and b≠1.

The constant a represents the initial value. It is the y-value of the equation when x=0.

The constant b represents the growth or decay factor.

When the equation models exponential growth, b>1.

When the equation models exponential decay, 0<b<1.

An exponential equation in the form y=a(b)x can model the value of the machine, y, x years after purchase. To write the equation, first look for phrases in the problem that tell you about the initial value, a, and the growth or decay factor, b.

Tessa is opening Tessa's Terrific Tees, her own custom T-shirt business. She bought a T-shirt printing machine that is currently valued at $2,200. The machine loses  1/4 of its value every year.

The constant a is the initial value. The initial value of the machine is $2,200. So, a=2,200.

The constant b is the decay factor, since the value of the machine is decreasing. The machine loses 1/4 of its value each year. In other words, the value of the machine each year will be 1–1/4= 3/4

times the value the year before. So, b= 3/4.

The exponential equation y= 2200 (3/4)x models the value of the machine.

An exponential equation in the form y=a(b)x that can model the value of the machine, y, x years after purchase is y= 2200*14*x

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. In mathematics, a linear equation is an equation that may be put in the form \({\displaystyle a_{1}x_{1}+\ldots +a_{n}x_{n}+b=0, } where x_{1}, \ldots, x_{n} are the variables, and {\displaystyle b, a_{1}, \ldots, a_{n}}\) are the coefficients, which are often real numbers.

Given that;

The cost of tshirt printing machine= $2200.

The lose of machine= 14

Now,

Substituting all the values in equation y=a(b)x

a=2200

b=14

y=2200*14*x

Therefore, the linear equation of the question will be y=2200*14*x

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Answer:

A, B, and C

Step-by-step explanation:

EDGE unit test 2020

The rows that stands for when (p ∧ q) ∨ (p ∧ r) is true is row A, B, and C. Check more about Truth table below

The truth table is known to be a table that depicts the real value of any kind of compound statement.

Note that for every truth-value of a statements there is a similar table depicting the value of the output for all of the value of all of the  input and as such, rows that stands for when (p ∧ q) ∨ (p ∧ r) is true is row A, B, and C.

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Answer:

c

Step-by-step explanation:

The Scale factor was used to enlarge the picture is 7/ 31.5.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

So, scale factor is

= Original dimension / Enlarged dimension

= 9/ 40.5

= 90/ 405

= 10/45

= 2/9

Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.

= 7/ 3.15

= 70/31.5

= 2/9

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