Write the following expression using the fewest possible terms. (−4x − 15) + (17 + 7x)

Answer:

a) The probability that the T-shirt will be grey is 2/20 or 1/10. This is because Hamid has 2 grey T-shirts out of 20 total T-shirts.

b) The probability that the T-shirt will not be red is 1 - (4/20) or 16/20, which can be simplified to 4/5. This is because Hamid has 4 red T-shirts out of 20 total T-shirts, so the probability of not selecting a red T-shirt is equal to the probability of selecting one of the 16 non-red T-shirts.

c) Hamid has only one light blue T-shirt out of the total 20 T-shirts. So, the probability of selecting a light blue T-shirt is 1/20.

Answer:

Step-by-step explanation:

a) The probability that Hamid pulls out a grey T-shirt is 2/20, or 1/10 in simplified form since there are 2 grey T-shirts out of 20 total.

b) The probability that the T-shirt will not be red is 16/20, or 4/5 in simplified form since there are 4 red T-shirts and 16 T-shirts that are not red.

c) Hamid has only 1 light blue T-shirt out of the 20 total T-shirts. So, the probability that he takes out the light blue T-shirt is 1/20. Note that the numbers of dark blue and white T-shirts are not needed to answer this question.

Answer:

Step-by-step explanation:

200.00 division ➗️ 66

Answer:

Step-by-step explanation:

To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.

Let's apply the Luhn algorithm to the given credit card number:

Step 1: Starting from the rightmost digit, double every second digit

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|

Step 2: If the doubled value is greater than 9, add the digits of the result

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |

Step 3: Add up all the digits in the credit card number, including the check digit

5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61

Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.

61 is not divisible by 10, therefore the given credit card number is invalid.

Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.

Answer:

I just think it's D. 0.3, 1/3, 2, \(\sqrt{3}\)

Step-by-step explanation:

Answer:

0.3, 1/3, sqrt(3), 2

Step-by-step explanation:

If you don't know the exact value of the square root of 3(no one does), you can still deduce that it's going to be in between 1 and 2, since 3 is between 1(square of 1) and 4(square of 2).

Now, let's look at the fractions(which must be smaller than 1). 1/3 is roughly 0.333, which is greater than 0.3, so 0.3 is smaller than 1/3.

Knowing all that, we can figure out that the order must be:

0.3, 1/3, sqrt(3), 2.

The calculated output value for an input value of 5 is (c) 10

From the question, we have the following parameters that can be used in our computation:

Kerrin is making an input-output table for the rule "add 5."

This means that

Output = input + 5

In this case, we have

input = 5

substitute the known values in the above equation, so, we have the following representation

Output = 5 + 5

Evaluate

Output =10

Hence, the output is 10

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Answer:

area = 6.5 square units

Step-by-step explanation:

Use the area of a triangle in coordinate geometry formula:

\(\triangle GHI =\frac{1}{2} |x_1(y_2- y_3) + x_2(y_3 -y_1) + x_3(y_1 -y_2)|\)

where \((x_1,y_1)=(-8,-8) \ \ \ \ (x_2,y_2)=(-6,-7) \ \ \ \ (x_3,y_3)=(-9,-2)\)

      \(\triangle GHI =\frac{1}{2} |x_1(y_2- y_3) + x_2(y_3 -y_1) + x_3(y_1 -y_2)|\)

\(\implies \triangle GHI =\frac{1}{2} |-8(-7+2) -6(-2 +8) -9(-8 +7)|\)

\(\implies \triangle GHI =\frac{1}{2} |40 -36 +9|\)

\(\implies \triangle GHI =6.5\)

Expression for -16x squared +36 in factored form is \(-4(2x - 3)(2x + 3).\)

The given equation is \(-16x^{2} +36\)

simplifying the equation,

\(-16x^2 + 36 = 4(-4x^2 + 9)\)

\(=-4x^2 + 9\\ = -(2x)^2 + 3^2 \\= -(2x - 3)(2x + 3)\)

when compared together,

\(-16x^2 + 36 = 4(-4x^2 + 9) = 4(-(2x - 3)(2x + 3)) = -4(2x - 3)(2x + 3)\)

The expression for the equation in factored form is -4(2x - 3)(2x + 3).

The question is incomplete. complete question will be "which of these expression is equivalent to \(-16x^{2} +36\) in factored form?

options- 4(x+2)(3-2x) , -4(2x - 3)(2x + 3) or (4x+2x)(9x-2x)"

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Answer:

3) Associative Property

4) 0

5) -3 + (5 + 8) + (-1)

Hope this Helps!

Answer:

3) it is Associative Property

4) 0

5) 3rd

The answer of the given question based on Statistics to find minimum monthly premium payments is option D) Plan 2, since it has lower monthly premium payments.

Probability is  measure of  likelihood or chance of an event occurring. It is expressed as  number between 0 and 1, where 0 indicates an impossible event and 1 indicates  certain event

Assuming that the coverage details are similar, we can compare the monthly premium payments for each plan based on the different categories of coverage:

Individual: Plan 1 has a monthly premium of $87.32, while Plan 2 has a monthly premium of $11.77. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Spouse: Plan 2 has a monthly premium of $735.00, while Plan 1 has a monthly premium of $890.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Child: Plan 2 has a monthly premium of $606.00, while Plan 1 has a monthly premium of $750.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Individual+Family: Plan 2 has a monthly premium of $1,400.00, while Plan 1 has a monthly premium of $1,600.00. Therefore, Plan 2 has the lower monthly premium for this category of coverage.

Based on these comparisons, we can see that Plan 2 has a lower monthly premium for all categories of coverage. Therefore, the answer is option D: Plan 2, since it has lower monthly premium payments.

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The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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Answer:

4.5

Step-by-step explanation:

Answer:c

Step-by-step explanation: commutative property is just moving things around, so that should work.

Answer:

Right, Isosceles

Step-by-step explanation:

The side lengths of this triangle : 2√8 2√5 2√5

Scalane triangle has all side lengths in different measure but in this triangle we have two side lengths equal

Right triangle has a right angle with 90° and the square measure of hypotenuse is equal to sum of the square length of two side lengths in this triangle since 2√5 + 2√5 = 2√8 we can say that this is a right triangle.

Isosceles triangle are triangles with two side lengths equal to each other

Equilateral triangles are triangles with all side lengths equal to each other but we know one of the side length in this triangle is different

so the answer is Right and Isosceles.

Answer:

Right, Isosceles

Step-by-step explanation:

Answer: B

Step-by-step explanation:

To solve for x, we have to use inverse properties.

\(-x+\frac{3}{7} =2x-\frac{25}{7}\)              [subtract both sides by \(\frac{3}{7}\)]

\(-x=2x-4\)                       [subtract both sides by 2x]

\(-3x=-4\)                           [divide both sides by -3]

\(x=\frac{4}{3}\)

This gives the answer B.

The value of the double integration is 7776 after solving and integration. the answer is 7776.

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

It is given that:

Double integration (x + y) dA

y = x²

y² = 216x

y = √216 √x

∫∫(√216 √x +  x²)

After solving:

\(\rm \int _0^{36}\int _0^6\:\left(\sqrt{216}\:\sqrt{x}\:+\:\:x²\right)dxdy\)

=7776

Thus, the value of the double integration is 7776 after solving and integration. the answer is 7776.

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Answer:

Step-by-step explanation:

Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.

Fixed costs: $34,000

Variable costs per widget: $5.00

Total costs = Fixed costs + (Variable costs per widget × Number of widgets)

Total costs = $34,000 + ($5.00 × 7,000)

Total costs = $34,000 + $35,000

Total costs = $69,000

Average cost per widget = Total costs / Number of widgets

Average cost per widget = $69,000 / 7,000

Average cost per widget ≈ $9.86

Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.

Step-by-step explanation: :)

The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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Each input value has exactly one corresponding output value, which satisfies the definition of a function.

A function is a relation between two sets of values where each input value (independent variable) corresponds to exactly one output value (dependent variable). In this case, the input values are the values of "x" column, and the output values are the values of "y" column.

Looking at the given table, for each unique value of "x", there is a unique corresponding value of "y".

For example, when "x" is 25, "y" is 5; when "x" is -25, "y" is -5; when "x" is 36, "y" is 6; and when "x" is -36, "y" is -6.

Therefore, each input value has exactly one corresponding output value, which satisfies the definition of a function.

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Answer:

A

Step-by-step explanation:

conjugate means we flip the sign between the two terms.

the two terms here are 5 and √(x+4), with a minus sign in between. we flip the minus sign to a plus sign to find the conjugate.

A fits this

Answer: -11

Step-by-step explanation:

Answer:

–0.11

Step-by-step explanation:

edge 2023

The total volume of water in the tank after 3 mins 24.75 gallons.

The new volume of water that entered into the tank is calculated as follows;

V₁ = 0.1 L/sec x (3 x 60 s)

V₁ = 18 L

1 liter = 0.264 gallons

18 Liter = ?

= 18 x 0.264

= 4.75 gallons

V = 20 gallons + 4.75 gallons

V = 24.75 gallons

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Answer:

Option D

Step-by-step explanation:

x is given to be 4 in this case, so all we would have to is plug it into the following function -

\(f ( x ) = \left \{ {{x - 2, x < 4 } \atop {x + 2, x \geq 4 }} \right\)

Through substitution, you would receive the following function -

\(f ( x ) = \left \{ {{2, 4 < 4 } \atop 6, 4 \geq 4 }} \right\)

Now the graph proves that this function is closer to 4, and thus proves that the y - coordinate is about 2 at the same time. However, the graph is cut off, so the limit doesn't exists.

Answer

D and A?

Step-by-step explanation:

The correct option is - Unimodal and left skewed.

Dot plot

A dot plot is a graph that is made up of dots and a number line. The dots in the dot plot represent the frequency of the data. The greater the frequency of a data, the greater the number of dots .

Unimodal

The term "mode" in this context refers to any peak of the distribution, not just to the strict definition of mode which is usual in statistics .

A unimodal probability distribution or unimodal distribution is a probability distribution which has a single peak .

One reason for the importance of distribution unimodality is that it allows for several important results. Several inequalities are given below which are only valid for unimodal distributions.

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question attached here :-

The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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