Did zero is prime number?

Answer:

  $18 per hour

Step-by-step explanation:

Emilio's new salary (per hour) will be ...

  $12 +50% × $12 = $12(1.50) = $18

Emilio will make $18 per hour after the raise.

Answer:

Technically, it already works because you have $16.15

Step-by-step explanation:

He needs to sell 90 - 65 = 25 pounds on the third day to reach his goal of selling an average of 30 pounds per day for the entire weekend.

To find out how many pounds Gale needs to sell on the third day of the three-day weekend, we can use the formula for finding the mean or average of three numbers.

We know that his goal is to sell an average of 30 pounds per day, so the total amount of strawberries he needs to sell for the entire weekend is 30 x 3 = 90 pounds.

He has already sold 23 + 42 = 65 pounds on the first two days.
In other words, on the third day, Gale needs to sell 25 pounds of strawberries at the farmers market.
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Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.

The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.

Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).

Given information:

P(M) = 89% (proportion with a mobile phone)

P(L) = 57% (proportion with a landline)

P(N) = 2% (proportion with neither)

We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:

P(M and not L) = P(M) - P(M and L)

To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:

P(M and L) = P(L) - P(N)

P(M and L) = 57% - 2%

P(M and L) = 55%

Now we can substitute the values back into the equation to find P(M and not L):

P(M and not L) = P(M) - P(M and L)

P(M and not L) = 89% - 55%

P(M and not L) = 34%

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Here, we want to get the value for the surface area of the prism

Mathematically, this is the sum of the surface area of the base and that of the sides

Now, as we can see, we have two triangular bases (with the areas given)

What we need next is to get the area of the face, which is a rectangle of side measure 8.1 in by 12 in

The value here is the product of the dimensions

We have this as;

Finally, we know that the net of a triangular prism contains 3 rectangles and 2 triangles

Answer:

Trying to find the surface area of our rectangular prism.

Step-by-step explanation:

Error: The error in using properties of parallelograms is assuming that all quadrilaterals with opposite sides that are parallel are parallelograms.

Correction: Not all quadrilaterals with opposite sides that are parallel are parallelograms. To determine if a quadrilateral is a parallelogram, both pairs of opposite sides must be parallel and equal in length. Additionally, the opposite angles must be congruent. These conditions must be satisfied for a quadrilateral to be classified as a parallelogram.

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The solutions for y are y = -3/4 and y = 1/2.

What is Quadratic equation?

A quadratic equation is a second-degree polynomial equation in a single variable x of the form:

ax^{2} + bx + c = 0

where a, b, and c are constants and a ≠ 0. The variable x represents an unknown quantity that we want to solve for, and the coefficients a, b, and c determine the shape, position, and number of solutions of the equation.

To solve for y, we need to isolate the square root term on one side of the equation and then square both sides.

Starting with: 3y + 2 = √(y² + 10y + 7)

Step 1: Square both sides of the equation:

(3y + 2)² = y² + 10y + 7

9y² + 12y + 4 = y² + 10y + 7

Step 2: Move all the terms to one side of the equation:

8y² + 2y - 3 = 0

Step 3: Solve for y by factoring or using the quadratic formula:

We can factor the quadratic equation as follows:

(4y + 3)(2y - 1) = 0

Therefore, either 4y + 3 = 0 or 2y - 1 = 0.

Solving for y in each case, we get:

4y + 3 = 0 => 4y = -3 => y = -3/4

2y - 1 = 0 => 2y = 1 => y = 1/2

Therefore, the solutions for y are y = -3/4 and y = 1/2.

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Complete question: Solve for y, 3y+2=√(y²+10y+7)

Form the given probability distribution, the probability of selling exactly one batch by baker is equal to 0.10.

As given in the question,

Probability distribution established by baker :

    x :       1               2                3              4

P(x) :       0.10        0.30         0.40          0.20

As it is give that number of batches made by baker to sell muffins .

For selling 1 batch x = 1.

For selling 2 batch x = 2.

For selling 3batch x = 3.

For selling 4 batch x = 4

Probability of selling exactly one batch by baker is given by when x =1

Probability of x  = 1 is given by :

P( x = 1 )  = 0.10

Therefore, form the given probability distribution, the probability of selling exactly one batch by baker is equal to 0.10.

The complete question is :

A baker is deciding how many batches of muffins to make to sell in his bakery. He wants to make enough to sell every one and no fewer. Through observation, the baker has established a probability distribution. x P(x) 1 0.10 2 0.30 3 0.40 4 0.20 What is the probability the baker will sell exactly one batch.

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1. 6 km ≈ 3.73 mi

2. 2.5 L ≈ .66 gal

3. 90 lb ≈ 40.82 kg

Step-by-step explanation:

180 ° - 146°=34°

Where by isosceles triangle is 180

Answer:

I am pretty sure it is a reflection over the x-axis followed by a translation of 1 unit left and 2 units down.

Step-by-step explanation:

I dont really have an explanation i just know this is the answer. I am on this problem too lol

Translated 1 unit right and 2 units up followed by a reflection across x-axis.

Given that, a parallelogram with vertices A(−2, 1), B(−4,−3), C(2,−5), and D(4,−1).

We need to find which sequence of transformations will result in a parallelogram with vertices.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or a geometric figure. The original shape of the object is called the pre-image and the final shape and position of the object is the image under the transformation.

Parallelogram has vertices A(−2, 1), B(−4,−3), C(2,−5), D(4,−1) while parallelogram A'B'C'D' has vertices A'(-1, -3) B'(-3, 1) C'(3, 3) D'(5, -1)

If a point X(x, y) is translated a units right and b unit up, the new point is X'(x + a, y + b).

If a point X(x, y) is reflected across the x-axis, the new point is X'(x, -y)

If parallelogram ABCD is translated 1 unit right and 2 units up (i.e. x + 1, y + 2), the new points is A'(-1, 3), B'(-3, -1), C'(3, -3), D'(5, -1). If a reflection across x-axis is then done, the new point is A'(-1, -3) B'(-3, 1) C'(3, 3) D'(5, -1)

Hence, translated 1 unit right and 2 units up followed by a reflection across x-axis.

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Answer:

6.25%

Step-by-step explanation:

I'm simply returning the favor.

If the down payment is $200, then we can subtract:

$800 - $200 = $600

Then we can find the "rent" times ten, then subtract it from the $600 left to pay.

$65*10 = $650

Now here is the hard part. We know that 600 < 650. So we need to subtract 650 from 600.

$650 - $600 = $50

Now we need to find how much more Mohamed paid than the original price.

$850 is _____% more than $800.

$850 is 106.25% more than $800.

Subtract 100% to get the difference.

6.25% is your answer.

Hope this helps. Have a nice day.

The shortest side of a right triangle with a hypotenuse of 15 and one angle of 60° is 7.5

An equation is an expression that shows the relationship between two or more numbers and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Given that the longer leg of a right triangle has a length of 15, hence hypotenuse = 15. One angle in the triangle is 60°. Let x represent the shortest side.

The shortest side is adjacent to the 60° angle, hence:

cos(60) = x / 15

x = 7.5

The shortest side of a right triangle with a hypotenuse of 15 and one angle of 60° is 7.5

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Answer:

Step-by-step explanation: Took the practice test

Answer:

a) x value is -2, min is -3(if thats y)

b) x value is 3, max is 21(if thats y)

Step-by-step explanation:

yes you do quadratic formula and such :)

The given system of equations can be written as a vector equation (7x1 + x2 - 3x3) = 7 and as a matrix equation = , where A = [7 1 -3 3 2 2] and B = [7 0].

An equation is a mathematical statement that expresses the equality of two expressions. It usually consists of two expressions separated by an equals sign (=). The expressions may contain numbers, variables, and operations, such as addition, subtraction, multiplication, and division. The solution of an equation is the value of the variable that makes the equation true.

Vector equation:

(7x1 + x2 - 3x3) = 7

Part 2
Write the system as a matrix equation. Select the correct choice below and fill in any answer boxes to complete your choice.

Matrix equation:

=

A =

[7 1 -3
3 2 2]

B =

[7
0]

Conclusion:

The given system of equations can be written as a vector equation (7x1 + x2 - 3x3) = 7 and as a matrix equation = , where A = [7 1 -3 3 2 2] and B = [7 0].

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The value of the expression  \(\frac{27^{\frac{1}{3}b} }{9^{ \frac{1}{2} a} }\)  is 1/9.

Exponent rules are a set of mathematical properties that help simplify expressions with exponents and make it easier to manipulate them in algebraic operations.

The fractional exponent or power rule:

The rule states that for any real numbers a and b, and any positive integer n, the expression \(a^{\frac{1}{n} }\) is equal to the nth root of the fraction a/b. That is:   \(a^{\frac{1}{n} }\)  = \(\sqrt[n]{a}\)

Here we have

=>  \(\frac{27^{\frac{1}{3}b} }{9^{ \frac{1}{2} a} }\)  

Using the fomrula, \(a^{\frac{1}{n} }\)  = \(\sqrt[n]{a}\)

=> \(27^{ \frac{1}{3} b} = (\sqrt[3]{27})^{b}\)  

As we know 27 = 3³  

=> \((\sqrt[3]{27})^{b} = (\sqrt[3]{3^{3} })^{b} = 3^{b}\)  

=> \(9^{ \frac{1}{2} a} = (\sqrt {9})^{a}\)    

As we know 9 = 3²

=> \((\sqrt {9})^{a} = [\sqrt{3^{2} } ]^{a} = 3^{a}\)    

Hence the expression will be

=>  \(\frac{27^{\frac{1}{3}b} }{9^{ \frac{1}{2} a} } = \frac{3^{b} }{3^{a} }\)

=>  \(\frac{3^{b} }{3^{a} } = \frac{1}{3^{a-b} }\)

=>  \(\frac{1}{3^{a-b} } = \frac{1}{3^{2} }\)

=>  \(\frac{1}{3^{2} } = \frac{1}{9}\)

Therefore,

The value of the expression  \(\frac{27^{\frac{1}{3}b} }{9^{ \frac{1}{2} a} }\)  is 1/9.

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Answer:

x = 4

Step-by-step explanation:

-6 + x/4 = -5,

x/4 = 1,

x = 4

Answer:

would it be 64

Step-by-step explanation:

The sample size that would be required for the width of 99% is 2653.

The number of subjects involved in a sample size is referred to as the sample size in market research. A set of people chosen from the general community who are thought to be a representative sample size for that particular study is referred to as the sample size.

The following details are given:

Margin of error, E = 0.025; Significance Level, = 0.01

The proportion p is estimated to be p = 0.53.

The significance level with a critical value of 0.01 is 2.58.

The smallest sample size needed to estimate the population proportion p within the necessary margin of error is determined using the formula shown below:

n >= p*(1-p)*(zc/E)2 n = 0.53 *(1 - 0.53*)2 n = 2652.97 *(1-p)*(2.58/0.025)2

As a result, we determine that n = 2653 is the minimal sample size needed to satisfy the criteria that

n >= 2652.97 and that it must be an integer value.

Sample size is 2653.

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Answer:

The mean weight of an adult is 66 kilograms with a variance of 144. If 123 adults are randomly selected, the sample mean would follow a normal distribution with a mean of 66 kilograms and a standard deviation of sqrt(144/123) = 3/sqrt(123) kilograms.

We can standardize the sample mean to find the probability that it would be greater than 66.7 kilograms. The standardized value for 66.7 is (66.7 - 66) / (3/sqrt(123)) = 2.3094.

Using a standard normal distribution table, we find that the probability of a standard normal variable being greater than 2.3094 is approximately 0.0104.

Therefore, the probability that the sample mean would be greater than 66.7 kilograms is approximately 0.0104, rounded to four decimal places.

Step-by-step explanation:

Answer:

SA=BA+LA and SA=BA+ph

Step-by-step explanation:

I just looked it up

The correct formulas to find the surface area of a right prism are:

SA = BA + LA and SA = BA + ph.

Options (A), and (D) are the correct answer.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The correct formulas to find the surface area of a right prism are:

1)

SA = BA + LA, where SA is the total surface area, BA is the area of the two identical bases, and LA is the lateral area (the sum of the areas of all the rectangular sides).

2)

SA = BA + ph, where SA is the total surface area, B is the area of one base, p is the perimeter of the base, h is the height of the prism, and ph is the area of all the rectangular sides (the lateral area).

Therefore,

The correct formulas to find the surface area of a right prism are:

SA = BA + LA and SA = BA + ph.

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Answer:

Step-by-step explanation:

1. Isolate Y by subtracting 6x from both sides.

2. Divide everything by 5, since 5 is the coefficient of Y

Final equation:

Y = \(-\frac{6}{5} x -3\)

Hope this helps!

In 2016,  the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months is 0.0385

Since form the graph, we know that 77% experienced homelessness and

9% Food Insecurity

If the total sample is 100%

Then the the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months is:

0.05 x 0.77 = 0.0385

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Full Question:

See attached image.

In 2016, what was the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months?

Yes it is correct that the expected value of a random variable can be interpreted as a long-run average.

The expected value of a random variable is a concept used in probability theory and statistics. It is a way to summarize the average behavior or central tendency of the random variable.

To understand why the expected value represents the average value that the random variable would take in the long run, consider a simple example. Let's say we have a fair six-sided die, and we want to find the expected value of the outcomes when rolling the die.

The possible outcomes when rolling the die are numbers from 1 to 6, each with a probability of 1/6. The expected value is calculated by multiplying each outcome by its corresponding probability and summing them up.

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Answer:

Robert told his classmates that when he rolls a eight-sided dice it will land on 1,2,3,4,or 5. There is a 5/8 chance that will happen.

Step-by-step explanation:

It's a probability scenario because there is no guarantee it will land on those numbers.

I hope this works! :))

We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:

d^2y/dx^2 + (chx)^2 * y = 0

Where:

y(x) is the deflection of the beam at position x,

d^2y/dx^2 is the second derivative of y with respect to x,

ch(x) is the hyperbolic cosine function.

To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.

Substituting this assumed solution into the differential equation, we get:

k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0

Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:

(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0

For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:

A + A * chx^2 = 0

B + B * chx^2 = 0

Simplifying these equations, we have:

A * (1 + chx^2) = 0

B * (1 + chx^2) = 0

Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:

1 + chx^2 = 0

Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:

1 + (1 - (sinx)^2) = 0

Simplifying further, we get:

2 - (sinx)^2 = 0

Solving for (sinx)^2, we find:

(sin x)^2 = 2

Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

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or, 2z + 2z - 64° = 180°

or, 4z = 180° + 64°

or, 4z = 244°

or, z = 61°

The value of z is 61°.

Hope it helps.

Do comment if you have any query.

Step-by-step explanation:

F= G× Mass of sun × Mass of Jupiter

==============================

( distance between them)²

G = 6.67×10^-11

Mass of sun = 1.89×10²⁷

Mass of Jupiter = 2.0×10³⁰

distance between them = 7.73×10¹¹

F= 6.67×10^-11 × 1.89×10²⁷ × 2.0×10³⁰

============================= = 4.219×10^23N

( 7.73×10¹¹ )²