what is the result when the number 28 is increased by 9%​

The probability that the sample mean is more than 82 is 0.1587. Option d is correct.

Given that a random sample of 36 observations is selected from a population with mean μ = 81 and standard deviation σ = 6.

The standard error of the sampling distribution of the sample mean is given as:

SE = σ/√n

= 6/√36

= 1

Thus, the z-score corresponding to the sample mean is given as:

z = (X - μ)/SE = (82 - 81)/1 = 1

The probability that the sample mean is more than 82 can be calculated using the standard normal distribution table.

Using the table, we can find that the area to the right of z = 1 is 0.1587.

Hence, option D is the correct answer.

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The theoretical probability that the family has two dogs or two cats is 1/3.

(branliest will be appreciated)

Answer:

A. 10/11

Step-by-step explanation:

(I just know) Have a Beautiful day.

Answer:the answer is A

To get the answer, just divide the answers to see if you will get a number closer to one

Step-by-step explanation:

10(c+5)=125

Step 1: Simplify both sides of the equation.

10(c+5)=125

(10)(c)+(10)(5)=125(Distribute)

10c+50=125

Step 2: Subtract 50 from both sides.

10c+50−50=125−50

10c=75

Step 3: Divide both sides by 10.

10c /10  =  75 /10

c =  15 /2

For sufficiently large values of n, the function f4(n) = 5000nlog(n) will have the largest values among the given functions. Among the given functions, the function f4(n) = 5000nlog(n) will have the largest values for sufficiently large values of n.

This can be understood by comparing the growth rates of the functions. As n increases, the function f1(n) = n^100 will grow rapidly but still be outpaced by the exponential growth of f2(n) = 1000n^2. However, the function f3(n) = 2n grows even faster than f2(n) because it has a linear growth rate.

In contrast, the function f4(n) = 5000nlog(n) exhibits logarithmic growth, where the growth rate slows down as n increases. However, the logarithmic term ensures that the function will eventually surpass the other functions in terms of value for sufficiently large values of n. This is because logarithmic growth is slower than polynomial growth but still faster than constant growth.

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Answer: $24.50

Step-by-step explanation:

Since the shirts were on sale for $19.95 each, both shirts would cost:

= $19.95 × 2

= $39.90

We are further told that he saved a total of $9.10. This means the original cost for both shirts would be:

= $39.90 + $9.10

= $49.00

Then, the original price for each one would be:

= $49.00 / 2

= $24.50

Answer:

false

Step-by-step explanation:

absolute value turns the number positive

I-10I=10

Let's denote the lengths of the sides of the triangle as a, b, and 6, where side b is twice the length of side a.

According to the given information, we have the following relationships:

b = 2a (side b is twice the length of side a)

c = 6 (the third side has length 6)

To determine the possible values of the lengths of the sides, we can apply the triangle inequality theorem. According to this theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Applying the triangle inequality to our triangle, we get the following inequalities:

a + b > c

a + 2a > 6

3a > 6

a > 2

b + c > a

2a + 6 > a

a > -6 (This inequality doesn't provide any meaningful information as lengths cannot be negative.)

a + c > b

a + 6 > 2a

6 > a

Combining the inequalities, we find that 2 < a < 6.

Since side b is twice the length of side a, we have 4 < b < 12.

Therefore, the possible values of the lengths of the sides of the triangle are:

2 < a < 6

4 < b < 12

c = 6

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(x,y)⇒(x+5,y+10) is the translation rule for A'B, which is a translation of AB.

A translation is a geometric transformation in Euclidean geometry that moves every point in a figure, shape, or space by the same distance in the same direction. A translation may alternatively be thought of as adding a constant vector to each point or changing the coordinate system's origin. A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction. A translation in mathematics moves a form left, right, up, or down but does not turn it. The translated (or picture) shapes appear to have the same size as the original shape, showing that they are congruent. They've just moved in one or more directions.

Here,

A translation is a sort of transformation in which every point in a figure moves the same distance in the same direction. Slides are another term for translations. A translation can be described with words like "moved up 3 and over 5 to the left" or using notation.

The translation rule for A'B is a translation of AB is (x,y)⇒(x+5,y+10).

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Answer:

8x + 5

Step-by-step explanation:

3x + 5x+(3+2)​

Combine like terms

8x + 5

Answer:

8x+5

Step-by-step explanation:

This is a expanded expression so all you have to do is simplify.

Combine like terms:

3x + 5x = 8x

3+2=5

Therefore your answer is 8x+5

Hope this helps!

Answer:

the equation is y=x^2+8

After solving the linear system of equations given, the result shows it has infinitely many solutions.

In mathematics, a collection of two or more linear equations containing the same variables is referred to as a system of linear equations. Here, one might say that linear equations are those of the first order, where the maximum power of the variable is 1. One variable, two variables, or three variables can all be included in a linear equation.

Systems of equations known as linear systems are those in which the variables are always multiplied solely by constants before being added together. Both static and dynamic relationships between variables are described by linear systems.

5x - y = 15 ...............(1)

-10x+2y=-30 ................ (2)

Now, multiply (1) by 2

10x - 2y = 30 ................. (3)

now, add the equation (2) from (3) we get

10x - 2y = 30

-10x + 2y = -30

0 = 0

that means we get infinitely many solutions.

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The complete question is as follows:

Use substitution to solve the linear system of equations.

5x-y=15

-10x+2y=-30

no solution (-15, -6)(-3,10)infinitely many solutions

The closest option to the reorder point is 71.40 pounds.

To determine the reorder point, we need to find the demand during the lead time and the safety stock.

First, let's calculate the demand during the lead time. The mean daily rate is 15 pounds, and it takes 4 days for the order to arrive. So, the mean demand during the lead time is 15 pounds/day * 4 days = 60 pounds.

Next, let's calculate the safety stock. The pizza shop wants to limit the probability of a stockout to 7 percent. We can find this value using the z-score table.

Looking up the z-score corresponding to a 7 percent probability, we find that it is approximately 1.89.

The standard deviation is given as 6 pounds.

So, the safety stock is calculated as 1.89 * 6 pounds = 11.34 pounds.

Finally, the reorder point is the sum of the mean demand during the lead time and the safety stock.

Reorder point = 60 pounds + 11.34 pounds = 71.34 pounds.

Therefore, the closest option to the reorder point is 71.40 pounds.

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Answer:

Step-by-step explanation:

let the cost of one pen be x and the cost of one watch be y

cost of a watch and a pen=$105

cost of 2 such pens=$18 more than the watch = 18+y ------(1)

18+y=105

y=105-18

 =87

Answer:

V = 72 cm³

Step-by-step explanation:

the volume (V) of a prism is calculated as

V = Ah ( A is the area of the triangular face and h is its height )

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

here b = 12 and h = 6

A = \(\frac{1}{2}\) × 12 × 6 = 6 × 6 = 36 cm² , then

V = 36 × 2 = 72 cm³

Answer:

x=25

Step-by-step explanation:

155-(90+65)=x

Answer:

x = 25

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

The given is a right triangle

which means one of the angle has a measure of 90

so if we add up all the angles

65 + 90 + x = 180 add like terms

155 +x = 180 subtract 155 from both sides

x = 25

Answer:

Always

Step-by-step explanation:

When two planes never intersect, they must always be parallel.

The answer can't be sometimes since planes can't sometimes intersect and be parallel.

The answer can't be never because two planes that are never parallel will intersect.

Therefore, two planes that do not intersect must always be parallel.

Answer:

Always parallel

Step-by-step explanation:

Parallel lines never intersect. Think of it like a never ending train track that goes only in a straight line. The two tracks will never cross each other!

Hope this helps!

The total square footage (area) of the apartment is 337 square feet.

It is given in the question that, In a small apartment:-

Dimensions of the bedroom = 10 ft by 10ft

Dimensions of the bathroom = 5 ft by 5 ft

Dimensions of the living room/kitchen = 14 ft by 18 ft

We have to find the total square footage (area) of the apartment.

We know that,

Area of square = \(side^2\)

Hence,

Area of the bedroom = 100 square feet

Area of the bathroom = 25 square feet

Area of the living room/ kitchen = 212 square feet

Hence,

Total square footage of the apartment = 100 + 25 + 212 = 337 square feet.

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The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

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Answer:

-40/21

Step-by-step explanation:

(-4/7) + (-4/3) =

First you need to find a common denominator:

(-4/7)(3/3) + (-4/3)(7/7) =

(-12/21) + (-28/21) =

Then combine the two fractions:

(-40/21)

And because you cannot simplify further, you are finished.

The third angle of the triangle is 80 degrees. If two angles in a triangle are 55∘ and 45∘, the third angle can be calculated by using the following formula:

Third angle = 180 - (Sum of the other two angles)

Let's put the given values in the above formula.

Third angle = 180 - (55 + 45)Third angle = 180 - 100

Third angle = 80Hence, the third angle of the triangle is 80 degrees.

A triangle is a closed figure consisting of three sides. The sum of the angles of a triangle is always equal to 180 degrees. This means that if two angles in a triangle are known, then the third angle can be calculated by subtracting the sum of the known angles from 180 degrees.

In this question, the two angles of the triangle are 55 degrees and 45 degrees. The third angle can be found by using the formula Third angle = 180 - (Sum of the other two angles). By substituting the given values in the formula, we get the third angle as 80 degrees.

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Answer:

5 plus 15 is 20 and then subtract 10 it will become 10 then add 20 it became 30 then subtract 15 it will become 15 then add 25 to 15 answer 40

Step-by-step explanation:

the numbers are repeated again and again like we added 5 to 15 we got 20

then later we added 20 to 10 it became 30

Solution:

Note that:

Divide the length of the court by 2x to find the width of the court.

\(\\ \rm\hookrightarrow 6x^2+20x=2x\)

\(\\ \rm\hookrightarrow 6x^2=-18x\)

\(\\ \rm\hookrightarrow x^2=-3x\)

\(\\ \rm\hookrightarrow x=-3\)

Answer:28

Step-by-step explanation:

10%= 8

35%/10%= 3.5

8 x 3.5 = 28

Answer:

28

Step-by-step explanation:

80/x=100/35

(80/x)*x=(100/35)*x       - we multiply both sides of the equation by x

80=2.85714285714*x       - we divide both sides of the equation by (2.85714285714) to get x

80/2.85714285714=x

28=x

x=28

now we have:

35% of 80=28

In the given figure, the measure of angle ABD is 120 degrees

From the given figure

The measure of angle CBD = 60 degrees

We know the sum of angles on a straight line add up to 180 degrees.

Here the line AC is straight line

Therefore, the sum of the measure of angle ABD and measure of angle CBD is equal to 180 degrees, so the angle ABD and angle CBD are supplementary angles

Angle ABD + Angle CBD = 180 degree

Substitute the values in the equation

∠ABD + 60 = 180

∠ABD = 180 - 60

∠ABD = 120 degree

Therefore, the angle ABD is 120 degrees

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The chi-square statistic is used to determine whether there are differences between two nominally scaled variables. Chi-Square is a statistical test used to compare two nominal variables to determine whether they differ.

The Chi-Square test is used to test for differences between two groups. When you want to compare groups or examine the relationship between two variables, this test is useful. The chi-square test is a method of statistical inference that can be used to compare observed frequencies with expected frequencies, allowing us to determine whether there is a meaningful difference between them. When the p-value obtained from a chi-square test is less than 0.05, it is generally considered statistically significant.

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The directions for dragging the balls into the images have been provided as follows:

1. For every 4 basketballs, there are 5 baseballs: Drag four basketballs and five baseballs into the box.

2. The ratio of basketballs to baseballs is 5:4: Drag ten basketballs and 8 baseballs into the box.

3. 4/5 of the balls are basketballs: Drag 8 basketballs and 2 baseballs into the box.

In order to drag the balls into the boxes, you need to first understand the mathematical expression for each of the boxes and input the right number of balls as stipulated.

For instance, in the first box where we are told that for every 4 basketballs, there are five baseballs, we can simply drag 4 basketballs and 5 baseballs into the box. For the last statement where we are told that 4/5 of the balls are basketballs, we could assume a total of ten balls where 8 are basketballs and 2 are baseballs.

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The weight of Joey is 39kg. Then, he needs to take:

a) He needs to be given 0.39mg

b)On the other hand, 0.39mg in milliliters is:

So, he needs to take 0.78ml

Answer:

B hope this helps

Step-by-step explanation:

Answer: it’s (A)

Step-by-step explanation: