As preparation for designing a new line of business wear, a clothing manufacturer asked a large sample of department store customers, "What is your favorite
color of dress shirt?" The ple chart below summarizes their responses.
(a) Which color was chosen by approximately one fourth of
the customers?

It have get \(24\) customer of them to sign up for the new service feature.

Given:

  Sign up percentage is \(25\) %.

    \(96\) customer.

To find the solution by,

Multiply customer and sign up

   \(=96*25\)%

   \(=96*\frac{25}{100} \\\\=2400/100\\\\=24\)

Thus, it have get \(24\) customer of them to sign up for the new service feature.

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[  3   9   13 ] is the Matrix showing all types of property available in key west .

A matrix is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns to represent a mathematical object or an attribute of such an entity in mathematics.

given in the table that how many types of property are there in the table

its a simple matrix which u can directly see

its a  3 x 1 matrix ...

[3  9  13] this matrix shows the required value

hope this helps...

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Answer:  [3 9 13]

Step-by-step explanation:

Answer:

322

Step-by-step explanation:

The volume of the giant microwave is 6 cubic yards.

It is a polygon having six faces.

The volume of a cube is side³.

We have,

Length = 9 feet

Width = 6 feet

Height = 3 feet

The volume of the giant microwave.

= 9 x 6 x 3

= 162 cubic feet.

1 yard = 3 feet

Cube on both sides.

1 yard³ = 27 feet³

Multiply 162/27 on both sides.

162/27 yard³ = 162 feet³

6 yard³ = 162 feet³

Thus,

6 cubic yards is the volume of the giant microwave.

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Answer:

a) Independent

b) Dependent

Step-by-step explanation:

a) is independent as the first marble does not affect the chance of getting the second marble as you are putting the marble you picked out back in the bag.

b) is dependent as it affects the chance of picking out other cards as you have removed one card from the list of possibilities.

Step-by-step explanation:

the shehejjene

brbnrb grutbdbd

Find 2% of what she sold by multiplying the amount she sold by 2%:

5250 x 2% = 5250 x 0.02 = $105

Now add that to her monthly salary:

3462 + 105 = $3,567

Let's denote the three numbers A, B, and C.

Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.

Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.

Let's list the possible combinations:

These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).

Answer:

cup B can hold 21.2  cubic in more than cup A when theyre both full, so the answer is cup B.

Step-by-step explanation:

P(8/3) is not equal to zero, we can conclude that 8/3 is not a zero of P(x). Therefore, our suspicion was incorrect.

What is quadratic equation and how to solve it ?

A quadratic equation is a second-degree polynomial equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.

To solve a quadratic equation, there are different methods, such as factoring, completing the square, and using the quadratic formula. The quadratic formula is the most general method and can be used for any quadratic equation.

It states that the solutions to the equation ax^2 + bx + c = 0 are given by the formula

x = (-b ± sqrt(b^2 - 4ac)) / (2a).

We can use this formula to find the roots of the equation by substituting the values of a, b, and c into the formula and simplifying.

To confirm if 8/3 is a zero of the quadratic function P(x) = 3x^2 - 4x - 7, we can substitute 8/3 for x in the equation and check if the resulting expression is equal to zero. If P(8/3) equals zero, then we can confirm that 8/3 is indeed a zero of P(x).

P(8/3) = 3(8/3)^2 - 4(8/3) - 7

= 3(64/9) - 32/3 - 7

= 64/3 - 32/3 - 21/3

= 11/3

Since P(8/3) is not equal to zero, we can conclude that 8/3 is not a zero of P(x). Therefore, our suspicion was incorrect. If we want to find the zeros of P(x), we can use the quadratic formula or factor the equation into (3x + 1)(x - 7) = 0 to get the roots x = -1/3 and x = 7.

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Answer:

41.13 centimeters (rounded to 2 decimal places)

Step-by-step explanation:

The perimeter is the sum of all sides of the figure.

This figure consists of two semicircular lines (right and left) and two lines (top and bottom). We add up all of them and find the perimeter of the figure.

The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.

The given function is,

y = 1/2 x + 2.

Also, the domain of the function is {-4, -2, 0}.

Since, the domain of the functions defines the values of x,

And range defines the value of y in function.

The value of y at x = -4

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

At x = -2,

y = 1/2(-2) + 2 = -1 + 2 = 1

At x= 0,

y = 1/2 (0) + 2 = 2

The values of y are 0, 1 and 2.

Hence, the range of the function is {0, 1, 2}.

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The probability that the hacker guesses the password on their first try is extremely low.

What is the probability that the hacker guesses the password on his first try?

There are 26 lowercase letters, 26 uppercase letters, and 10 numerical digits, for a total of 62 possible characters for each position in the password. Since the password is 9 characters long, there are \(62^{9}\) possible passwords.

The probability that the hacker guesses the password on their first try is 1 out of the total number of possible passwords:

Probability = 1 / (\(62^{9}\))

Using a calculator, this can be simplified to approximately 1.2 x \(10^{-16}\)

Therefore, the probability that the hacker guesses the password on their first try is extremely low.

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Answer:

\( \boxed{Area \: of \: circle = 5538.96 {in}^{2}} \)

Step-by-step explanation:

Radius (r) = 42 in.

Area of circle = πr²

= 3.14 × (42)²

= 3.14 × 1764

= 5538.96 in²

Answer:

There are 3 blue fish in the aquarium.

Step-by-step explanation:

Let the total number of fish be denoted by T, total number of blue fish be B and total number of red fish be R

We can write, T = B + R

Since the aquarium has one fewer redfish than blue fish, R = B - 1

So,

T = B + (B - 1) = 2B - 1

As 60% of total fish is blue, we can write

60% of T = B

or, (60/100) x T = B

or, 3/5 x T = B

or, 3/5 x (2B - 1) = B

or, 6B - 3 = 5B

or, 6B - 5B = 3

or B = 3

Therefore, there are 3 blue fish in the aquarium.

No. of red fish, R = B - 1 = 3 - 1 = 2

Answer:

Step-by-step explanation:

I can't give answer you by step to step cause I can't make any symbols through my computer.

The values of the two integers are -43 and -143.

Let the value of the smaller integer be "x".

Since, the sum of two integers is -186.

Smaller integer + Larger integer = -186

x + ( 3x - 14 ) = -186

Solve for x

x + 3x - 14 = -186

4x - 14 = -186

4x = -186 + 14

4x = -172

x = -172/4

x = -43

Hence;

The smaller integer = x = -43

The largere integer = 3x - 14 = 3(-43) - 14 = -143.

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The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

It is easy

Step-by-step explanation:

1)100%=120kg

so 50%=120/50

=60kg

2)100%=120

so 25%

=120/25

=30kg

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The required 95% confidence interval for the mean breaking force of acrylic bone cement is approximately 267.29 to 344.85 newtons.

Find the critical value (t*) for a 95% confidence level and (n - 1) degrees of freedom.

The degrees of freedom (df) is equal to the sample size minus 1 (df = 7 - 1 = 6). From a t-table or statistical software, the critical value for a 95% confidence level and df = 6 is approximately 2.447.

Calculate the standard error of the mean (SE).

The standard error of the mean is given by SE = (sample standard deviation) / sqrt(sample size).

\(SE =\dfrac{41.96}{\sqrt{7}}\)

   ≈ 15.85

Calculate the margin of error (MoE).

The margin of error is MoE = (t*) * SE.

MoE ≈ 2.447 * 15.85
        ≈ 38.78

Calculate the confidence interval.

The confidence interval is given by: Mean ± MoE.

Mean ± MoE ≈ 306.07 ± 38.78

Calculate the lower and upper bounds of the confidence interval.

Lower bound ≈ 306.07 - 38.78
                       = 267.29

Upper bound ≈ 306.07 + 38.78
                       = 344.85

Therefore, the 95% confidence interval for the mean breaking force of acrylic bone cement is approximately 267.29 to 344.85 newtons.

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Answer:

-20r + 40

Step-by-step explanation:

-10(2r - 4)

-20r +40

The probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

Since there are 8 cameras in the box, the total number of ways to choose 2 cameras from the box is given by the combination formula:

C(8,2) = 8!/(2!×(8-2)!) = 28

So there are 28 possible ways to choose a sample of 2 cameras.

Now, let's calculate the probability of each possible value of x:

When x = 0, both cameras in the sample are non-defective. The number of ways to choose 2 non-defective cameras from the 4 non-defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 0 is:

P(x=0) = (number of ways to choose 2 non-defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

When x = 1, one camera in the sample is defective and the other is non-defective. The number of ways to choose 1 defective camera from the 4 defective cameras in the box and 1 non-defective camera from the 4 non-defective cameras in the box is given by the product of the corresponding combinations:

C(4,1) × C(4,1) = 4×4 = 16

So the probability of x = 1 is:

P(x=1) = (number of ways to choose 1 defective camera and 1 non-defective camera)/(total number of ways to choose 2 cameras)

= 16/28

= 0.571

When x = 2, both cameras in the sample are defective. The number of ways to choose 2 defective cameras from the 4 defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 2 is:

P(x=2) = (number of ways to choose 2 defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

Therefore, the probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

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Answer:

The distance between the ground and the top of the slide is 2.4 meters.

Given:

The length of the slide is 4.1 meters.

The angle between slide and ground is 35 degrees.

To find:

The distance between the ground and the top of the slide.

Explanation:

Let  be the distance between the ground and the top of the slide.

Using the given information draw a figure as shown below.

In the below figure,

Therefore, the distance between the ground and the top of the slide is 2.4 meters.

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

5 min

Step-by-step explanation:

If the minute hand takes an hour to go 360°, going 155° would take 26 minutes.

The first step is to find the number of degrees the minute hand goes in a minute:

= Degrees in an hour / Minutes in an hour

= 360 / 60

= 6° per minute

In order to go 155°, the minute hand would go for:

= Degrees / Degrees per minute

= 155 / 6

= 25.83

= 26 minutes

In conclusion, it would take 26 minutes for the minute hand to turn 155°.

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Answer:

D=40

C=140

E=140

Step-by-step explanation:

opposite angles are congruent in parallelograms, so D is equal to 40. Also, the interior angles of any quadrilateral always equal 360, and because there are only 2 angles left that we don't know what they equal, if we add 40 to 40, which equals 80, and then subtract 80 from 360, we get 280, which we then divide by 2, to get 140 for C and E.

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer:

I think it would be 2,34 becuase when you think about the question it fits together

Step-by-step explanation:

:)

Vector v can be written as the sum of two vector components, \(v_x = -5i\)  and \(v_y = 6j\)

To write vector v as the sum of two vector components, we need to decompose it into two vectors along different directions.

v = -5i + 6j

w = 3i + 4j

We can decompose vector v into two components, one along the x-axis and the other along the y-axis.

Let's denote the component along the x-axis as \(v_x\) and the component along the y-axis as \(v_y.\)

The x-component, \(v_x,\) represents the projection of vector v onto the x-axis and can be found using the dot product of v and the unit vector i:

\(v_x = v . i = (-5i + 6j) . i = -5i . i + 6j . i = -5\)

Similarly, the y-component, \(v_y,\) represents the projection of vector v onto the y-axis and can be found using the dot product of v and the unit vector j:

\(v_y = v . j = (-5i + 6j) . j = -5i . j + 6j . j = 6\)

Now, we can write vector v as the sum of its components:

\(v = v_x + v_y = -5i + 6j\)

So, vector v can be written as the sum of two vector components: -5i along the x-axis and 6j along the y-axis.

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Answer: try -2

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

If we use PEMDAS, we know that we need to do the multiplication and division first. (1/2)^4 is equal to 1^4/2^4, which is 1/16. Next, 1/16 * 32 is equal to 2. Finally, we do 6 divided by 3, which is 2. 2 - 2 is equal to 0, so the answer is 0.