Elijah gave out a survey to some students in his school about their favorite color. 392 of those surveyed said their favorite color was red. If 56% of the students surveyed said their favorite color was red, how many students were surveyed in total?

Answer:

I do not understand the question please ask a question before sending that

The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).

To find an ordered triple representing \(3u - 2v\),

where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),

we can perform the following operations:

\(3u = 3(5, -2, 3)\)

\(3u = (15, -6, 9)\)

\(2v = 2(1, 1, 2)\)

\(2v = (2, 2, 4)\)

Now, subtracting 2v from 3u gives:

\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)

\(3u - 2v = (15-2, -6-2, 9-4)\)

\(3u - 2v = (13, -8, 5)\)

Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).

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To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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The expanded and simplified form of the expression (x + 5)(x - 1) is  x² - x + 5x - 5.

Given the expression in the question;

(x + 5)(x - 1)

To expand and simplify the expression (x+5)(x-1),

we use the distributive property:

(x + 5)(x - 1)

x(x - 1) + 5(x - 1)

Now we can simplify each term by using the distributive property again:

x(x - 1) = x² - x

5(x - 1) = 5x - 5

Putting these terms back together, we have:

(x+5)(x-1) = x² - x + 5x - 5

Combining like terms, we get:

(x+5)(x-1) = x² + 4x - 5

Therefore, (x+5)(x-1) simplifies to the quadratic expression x² + 4x - 5.

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Answer:

\(\boxed{\tt A. \;y = .613x + 4.142}\)

Step-by-step explanation:

Equation: (y-y_1)=y_2-y_1/x_2-x_1 (x-x_1)

Here,

\(\tt (x_1,y_1):(-2,2.9)\)

\(\tt (x_2,y_2): (-3.5,2)\)

\(\tt y-2.9=\cfrac{(2-2.9)}{(-3-5-(-2))} (x-(-2))\)

\(\tt y-2.9=\cfrac{-0.9}{-1.5} (x+2)\)

\(\tt y-2.9=0.6(x+2)\)

\(\tt y-2.9=0.6x+1.2\)

\(\tt y=.613x+4.142\)

___________________

Hope this helps you!

Have a nice day!

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Slope is:

At the point (-3,-3) and (-2,1).

so:

so the slope is:

slope of the line is 4.

Answer:

D

Step-by-step explanation:

It has a repeating decimal.

please don't know what to do 3about I am going through the silence of my own thoughts on this you will be able and my brother to make the world but you will not come to Nepa with you and say you will come in your house is like the one of your daughters of God in your heart to 8be to make the Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.Nepal is a beautiful country in the world full of natural diversity.

a) The probability that the homeowner will get less than $260,000 if he leaves the house on the market for another month is equal to the area under the probability density function (PDF) of the uniform distribution from $245,000$ to $260,000$. Since the distribution is uniform, the PDF is constant over the interval of interest, and its value is $\frac{1}{270000-245000}=\frac{1}{25000}$. Therefore, the probability is:

�

(

selling price

<

260

,

000

)

=

260

,

000

−

245

,

000

25

,

000

=

0.6

P(selling price<260,000)=

25,000

260,000−245,000

​

=0.6

b) Similarly, the probability that the homeowner will get more than $260,000$ if he leaves the house on the market for another month is equal to the area under the PDF of the uniform distribution from $260,000$ to $270,000$. Therefore, the probability is:

�

(

selling price

>

260

,

000

)

=

270

,

000

−

260

,

000

25

,

000

=

0.4

P(selling price>260,000)=

25,000

270,000−260,000

​

=0.4

c) The probabilities calculated in parts a) and b) provide a way to assess the risk and potential benefit of leaving the house on the market for another month. If the homeowner is risk-averse and prefers a certain outcome, then he should take the $260,000 offer, since the probability of getting less than $260,000 is higher than the probability of getting more. On the other hand, if the homeowner is willing to take a risk for the potential benefit of a higher selling price, then he should leave the house on the market for another month. Ultimately, the decision will depend on the homeowner's risk preferences and other personal circumstances.

To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

Answer:

what is the question

Step-by-step explanation:

If an object has a density of less than \(1\) g/ml, the object will float in water.

So, fourth option is correct

\(Density = \frac{Mass}{Volume}\)

The object with density less than \(1\) g/ml will float, and the object with a density more than \(1\) g/ml will sink.

So, if an object has a density of less than \(1\) g/ml, the object will float in water.

Therefore, fourth option is correct

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The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

In the equation, we will need to calculate the maximum amount of money Marian can spend on the house.

We can calculate the maximum amount of money Marian can spend on a house by multiplying her monthly income by the number of months she would want to save.

Marian earns $4,100.00 per month

Suppose Marian wants  to save for  x months,  then the maximum amount that she can spend on the house is:

4100  *   x    +  21390

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

Hope this helps!

Let's solve the equation:

9x + 27 =  9 ( x + 2 ) + 9 ← Distribute 9 to the x and 2

9x + 27 = 9x + 18 + 9 ← Combine like terms

9x + 27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x

0 = 0  

{Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.}

hope this helps..........

Answer:

x=1

Step-by-step explanation:

9x+27=9(x+2)+9

9x+27=9x+18+9

9x+27=9x+27

9x=9x

x=1

Thus, the total area of the figure made by square grids paper in three-dimensional figure is found as: 48 in².

Three-dimensional (3D) shapes have three dimensions, like length, breadth, and height. Prisms and spheres are two examples of 3D shapes. Multidimensional and physically holdable 3D forms.

The three - dimensional dimensions comprising width, height, and depth are referred to as three dimensions, or 3D. The physical world is three dimensional, as is everything that can be seen there.

For the given net of 3-D figure.

Each  square of grip represents 1 in².

Total area = rectangle area + 2*triangle area

Total area = length*breadth + 2*(1/2*base*height)

Total area = 12*3 + 3*4

Total area =  48 in².

Thus, the total area of the figure made by square grids paper in three-dimensional figure is found as: 48 in².

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The expression has 3 terms, that are

1st term n²

2nd term 2k³

3rd term 3m²

Given that,

The expression is n²+2k³+3m².

We have to find how many terms are in the expression.

A term may be a number, a variable, the product of two or more variables, a number and a variable, or any combination of these. A single term or a collection of phrases can be used to create an algebraic expression. For instance, 4x and y are the two terms in the formula 4x + y.

Take the expression,

n²+2k³+3m²

There are 3 terms

1st term n²

2nd term 2k³

3rd term 3m²

Therefore, The expression has 3 terms, that are

1st term n²

2nd term 2k³

3rd term 3m²

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The length of side b of the given right angle triangle using law of sines is; b = 12.044 m

The law of sines states that when we divide side "a" by the sine of angle A, it is equal to side "b" divided by the sine of angle B, and also equal to side "c" divided by the sine of angle C

Thus;

a/sin A = b/sin B = c/sinC

The parameters are;

B = 42°

c = 18m

Since c is the hypotenuse, it is the side that will be opposite the right angle and so;

C = 90°

Thus, using sine rule;

c/sinC = b/sin B

18/sin 90 = b/sin 42

b = (18 * sin 42)/1

b = 12.044 m

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Answer:

The weight that does not round to 2.46 pounds is C 2.454 pounds.

Step-by-step explanation:

Based on the given information, the weights of the four similar packs of tomatoes are as follows:

Malcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:

From the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.

Answer:

0.0022 = 0.22% probability that the sample proportion is greater than than 0.43

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Based on historical data, your manager believes that 32% of the company's orders come from first-time customers.

This means that \(p = 0.32\)

Mean and standard deviation:

Sample of 146 means that \(n = 146\)

\(\mu = p = 0.32\)

\(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.32*0.68}{146}} = 0.0386\)

What is the probability that the sample proportion is greater than than 0.43?

This is 1 subtracted by the pvalue of Z when X = 0.43. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.43 - 0.32}{0.0386}\)

\(Z = 2.85\)

\(Z = 2.85\) has a pvalue of 0.9978

1 - 0.9978 = 0.0022

0.0022 = 0.22% probability that the sample proportion is greater than than 0.43

Answer: search

Step-by-step explanation: look up the question on your browser and the answer will pop up

Answer:

$77

Step-by-step explanation:

10% of 70$ is $7

$70+$7=$77

Answer:

(a) Bako is 10 years old

(b) His mother was 30 years old when Bako was 5

(c) Bako will be 25 years old when his mother is 50

(d) Bako's mother was 25 years old when he was born

(e) The difference between Bako's age & his mother's is 25 years

Step-by-step explanation:

Let Bako's age five years ago be x years

Presently, Bako is 2x years old (according to the 1st statement)

Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.

This simply means that Bako's present age is BOTH 2x years & (x + 5) years.

We have to equate them since they mean the same thing (Bako's present age)

x + 5 = 2x

2x - x = 5

Therefore x = 5 years

Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.

This simply means that Bako's age now is 10 years old.

His mother was then six times 5 years = 30 years old (from the 2nd statement).

If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.

This simply means that Bako's mother is older than him with 25 years.

Therefore, Bako will be 25 years old when his mother is 50 years old

Answer:

A ≈ 380 m²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

we require to find r using the circumference (C) , that is

C = 2πr

given C = 22π , then

2πr = 22π ( divide both sides by 2π )

r = \(\frac{22\pi }{2\pi }\) = 11

then

A = π × 11² = 121π ≈ 380 m² ( to the nearest whole number )

Answer:

3x + y = 17   --------(1)

2x + y = 12 ---------(2)

from (1) : y = 17 - 3x.

Substitute y in (2)

2x + (17 -3x) = 12

2x + 17 -3x = 12

-x = 12 - 17

-x = -5

x = 5

Substitute x in (1)

3(5) + y = 17

15 + y = 17

y = 17 -15

y = 2

Answer : x = 5, y = 2

Answer:

Option A is the right answer mate...

Answer:

See below

Step-by-step explanation:

In Q I    cos sin and thus tan are all positive

tan = sin / cos     so you need to find sin

TRIG identity:  

cos^2 + sin^2 =1

 16/27 + sin^2 =1

              sin^2 = 1 - 16/27 =  11/27

                  sin = sqrt (11/27)

tan = sqrt (11/27) / ( 4/sqrt27) =+ sqrt (11) /4

Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

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