45 40 36 38 42 48 40 40 70 45 42 43 48 36 what is the mean

Answer:

Step-by-step explanation:

d

Answer:224 squared

Step-by-step explanation:

H

The probability of randomly selected customers ordering both an appetizer and dessert is 57%.

We have,

The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given data as:

P(E₁) = 52%

P(E₂) = 32%

P(E₁ or E₂) = 27%.

Using the formula:

⇒ P(E₁ or E₂) = P(E₁) + P(E₂) - P(E₁ & E₂)

Substitute the values and solve for P(E₁ & E₂)

⇒ P(E₁ & E₂) = 52% + 32% - 27%

⇒ P(E₁ & E₂) = 57%

Therefore, the probability of randomly selected customers ordering both an appetizer and dessert is 57%.

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Answer:

150

Step-by-step explanation:

maybe it could be like this

0.40x = 240

we could get x = 600

then 0.25x = 600 × 0.25 = 150

Answer

its 455

Step-by-step

First you multiply 195 x 2 and your answer will be 390 = 6 minutes. Then you divide 195 and 3 and it will give you 65 = 1 minute. Lastly you add 65 + 390 and your answer is 455

Answer:

DE = 34

AC = 68

Step-by-step explanation:

since DE are midpoints, you can create this equation: 2(8x + 2) = 20x - 12

solve:

16x + 4 = 20x - 12

16x + 16 = 20x

16 = 4x

4 = x

plug this into both equations to find each side:

DE: 8(4) + 2 = 34

AC: 20(4) - 12 = 68

we know our answer is right because AC is twice as long as DE

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

Work Shown:

2x+3y = 18

3y = 18-2x ..... subtract 2x from both sides

3y = -2x+18

y = (-2x+18)/3 .... divide both sides by 3

y = (-2x)/3 + 18/3

y = (-2/3)x + 6

-----------

As a quick shortcut, anything in the form Ax+By = C will convert to y = (-A/B)x+(C/B) when you solve for y.

The slope is -A/B and the y intercept is C/B

Answer:

64

Step-by-step explanation:

50 - 36 = 14

14×5 =90

90 - 36 = 64

Answer:

(9\(\sqrt{2}\))/2

Step-by-step explanation:

a diagonal divides the square into two right-angle triangles. Given that the two sides are the same length, and the hypothenuse is 9 cm, this applies:

2(a^2) = b^2 (a = side, b = hypothenuse)

2(a^2) = 9^2 (find for a)

2(a^2) =  81

a^2 = 81/2

a =\(\sqrt{81/2}\)

a = (9\(\sqrt{2}\))/2 or 6.3639 (rounded)

For a square having a diagonal 9 cm, its side will be  \(9/\sqrt{2}cm\).

Square is quadrilateral having 4 sides of equal length with measurement of all four angles as 90 degrees. It has two diagonals of equal length which bisects each other at  90 degrees.

Given the measure of the diagonal of a square,d is 9cm.

Let, the side of a square is a.

Using, the concept that the diagonal of a square is \(\sqrt{2} a\).

\(d=a\sqrt{2}\\\)

On substituting d=9,

\(9=a\sqrt2\\a=9/\sqrt2\)

Thus, the side of the square is \(9/\sqrt{2}cm\).

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The survey question that could have been asked to produce the data display is: How many bags of dog food do you buy each month, and how much does your dog weigh?

According to the data presentation, on average, dog owners purchase 2. 5 packs of food for their dogs each month and the typical dog weighs 40 pounds.

It can be inferred that the weight of a dog has a direct influence on the quantity of dog food purchased by its owner on a monthly basis.

The additional inquiries in the survey do not have a direct correlation with the presentation of the information. One example of an irrelevant question is "How often do you feed your dog daily. " as it fails to inquire about the quantity of dog food purchased by the owner.

The inquiry regarding the weight of a bag of dog food is inconsequential as it fails to inquire about the weight of the dog. The significance of the bag's weight for a dog owner is contingent upon the purchase of a particular type of dog food packaged in bags with specific weights.

To sum up, the survey could have been formulated as follows: "What is the weight of your dog and how many bags of dog food do you purchase per month. " in order to generate the presented data.

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Answer:

5/7

Step-by-step explanation:

Billy experienced a rate of catfish to toral fish of 10/14. This is 5/7. So if this rate continues, he could expect the probability of catching a catfish to be : 5/7

Elizabeth can dress up in 720 different ways.

We must add up the alternatives for each piece of clothing to reach the total number of outfits Elizabeth can wear.

Six skirt choices are available.

5 variations for shirts are available.

Given that she must select one pair from a possible four pairs of shoes, there are four possibilities available.

There are two different necklace alternatives.

3 different bracelet choices are available.

We add these values to determine the total number of possible combinations:

Total number of ways = (Number of skirt choices) + (Number of top options) + (Number of pairs of shoes options) + (Number of necklace options) + (Number of bracelet options)

Total number of ways is equal to 720 (6, 5, 4, 2, and 3).

Elizabeth can therefore dress up in 720 different ways

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Answer:

A) 2 B) 6 C)0

Step-by-step explanation:

A)

f(6) = 6/3 - 1 = 1

g(3) = 2(3) - 5 = 1

f(6) + g(3) = 1 + 1 = 2

B)

Find the inverse of the function g(x)

x = 2y-5

-2y = -x-5

2y = x+5

y = (x+5)/2

g^-1(7) = 12/2 = 6

C)

g^-1(7) = 6

Find the inverse of the function f(x)

x = y/3 - 1

x+1 = y/3

y = 3x+3

f^-1(1) = 3+3 = 6

g^-1(7) – f^-1(1)​ = 6-6 = 0

Answer:

70°

Step-by-step explanation:

m<13 + m<14 = 180

So, 12x-22+9x-29=180

or, 21x=180+29+22

or, 21x=231

or, x=11

now m<2=<m14=9x-29

or, m<2=9×11-29=70°

Answered by GAUTHMATH

Answer:

14

Step-by-step explanation:

The angles add to form a straight angle, so

\(7x-1+6x-1=180 \\ \\ 13x-2=180 \\ \\ 13x=182 \\ \\ x=14\)

The period of the pendulum (t) is approximately 4.77 seconds.

The formula for a basic pendulum's period is

T = 2π√(L/g)

where L is the pendulum's length and g is its gravitational acceleration.

Substituting the given values, we get:

T = 2π√(5.64/9.8)

Simplifying the expression inside the square root, we get:

T = 2π√(0.5755)

Calculating the square root, we get:

T = 2π(0.759)

Multiplying by 2 and π, we get:

T = 4.77 seconds (rounded to two decimal places)

Therefore, the period of the pendulum is approximately 4.77 seconds.

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a) -43, -12, -1 1/2

b) 1 1/2. 12, 43

c) it is different

a) -1 1/2, -12, -43

from the least to the greatest:

The higher a negative number , the lesser the value of the number

-43, -12, -1 1/2

b) The absolute values of -1 1/2, -12, -43:

1 1/2, 12, 43

absolute values from least to greatest:

1 1/2. 12, 43

The order of the rational numbers in part (a) is different from the order of the numbers' absolute values in part (b)

c) Absolute values of a negative number gives a positive number. The higher a posititve number, the greater its value. While a higher negative number has a lower value. This makes the result in ordering the data different

Answer:

anthony froze 3 1/4 of the meatball

The bridge must be crossed 20 times to make the monthly costs equal.

According to the statement

We have to find that the number of times in a month the bride must be crossed.

So, For this purpose, we know that the

To determine the number of times in a month.

Then

Let n = the number of times in a month the bridge is crossed.

Let C = monthly cost

With pass:

C = 30+3.5n

without pass:

C=5n

Then Substitute the values in the place of the C. So, The equation become

30+3.5n=5n

1.5n = 30

n =20

The bridge must be crossed 20 times to make the monthly costs equal.

So, The bridge must be crossed 20 times to make the monthly costs equal.

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Answer:

1. h = 11 cm

2. d = 220 km

Step-by-step explanation:

1. A = 1/2bh

Where,

A = 66 cm²

b = 12 cm

A = 1/2bh

66 = 1/2 * 12 * h

66 = 6h

h = 66/6

h = 11 cm

2. s = d/t

Where,

s = 110 km/h

t = 2h

s = d/t

110 = d/2

Cross multiply

110 * 2 = d

d = 220 km

The rate at which his pulse is increasing after 3 minutes is 9.5 beats per minute

The given graph shows the curve and the tangent.

From tangent line, we have the following points:

(x,y) = (3,119) and (1,100)

The beat rate (m) at this point is:

\(m = \frac{y_2 -y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{100 - 119}{1 - 3}\)

Evaluate the differences

\(m = \frac{-19}{-2}\)

Evaluate the quotient

m = 9.5

Hence, the rate at which Sam's pulse is increasing after 3 minutes is 9.5 beats per minute

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Answer:

5.83

Step-by-step explanation:

Pythagorean Theorem a^2 + b^2 = c^2

\(5^{2} + 3^{2} = 34\\\sqrt{34} = 5.83\)

Answer:

Domain: {-10, -8, -6, -4}

Range: {-5, -4, -3, -2}

Step-by-step explanation:

The domain is a set of all the x's. Here you were given points and the first number in the parenthesis is the x in (x, y). Sometimes they will give you a table or a graph. But domain is all the x's gathered together. I put them in order from small to big to be neat. There aren't any repeats here, but if there ever are repeats you don't have to list them multiple times, just once.

The range is all the y's in the points (x, y) its the second number. Gather all the y's in a set, that is the range.

The value of the expression is 4.

The code :

int a[4] = {1, 2, 3, 4};

int *p = a;

what is *(p + 3)?

The variable a is an array of integers, and the variable p is a pointer to the first element of the array.

The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.

Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.

Therefore, the value of the expression is 4.

Here is a breakdown of the code:

int a[4] = {1, 2, 3, 4}: This line declares an array of integers called a and initializes it with the values 1, 2, 3, and 4.

int *p = a; This line declares a pointer to an integer called p and initializes it with the address of the first element of the array a.

what is *(p + 3)?: This line asks what the value of the expression *(p + 3) is.

The expression *(p + 3) is the value of the element of the array that is 3 elements after the element that p points to.

Since p points to the first element of the array, the expression *(p + 3) is the value of the fourth element of the array, which is 4.

Therefore, the value of the expression is 4.

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Correct Question :

Int a[4]={1,2,3,4}, int *p=a. What is the value of *(p+3)?

There are 9 possible schedules to play basketball such that dave can play on monday or wednesday or both which is union of two set .

so this question seems like we have to take union of ways of palying on monday or wednesday

let n(m) be number of ways of playing on monday

n(w) be number of ways of playing on wednesday

we have to find n(m∪w)

n(mUw) = n(m) +n (w) - n(m∩ w)

so n(m) = \(4_C__2\) as one day is now fixed which is monday so we have 4 available days and 2 days to play.

n(m) = \(4_C__2\)  = 6

similary n(m) = n(w) = 6

now  n(m∩w) = \(3_C__1\) as now we have  2 fixed day and we have 3 day remaining and only one day to play.

n(m∩w) = \(3_C__1\) =3

now n(mUw) = n(m) +n (w) - n(m∩ w)

=> 6 + 6 -3

=> 12 - 3

so n(mUw) = 9

so we have 9 schedules to paly keeping condition given in the question.

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Answer:Inhale oxygen blow out carbon dioxide

Step-by-step explanation:

Answer: There are 2 possible answers here. We know it can either be:

x - 5 = 25 or x - 5 = -25

For possibility number 1: Add 5 over to the other side to get x alone

x = 30

For possibility number 2: Add 5 over to the other side to get x alone

x = -20

The matching numbers are:

1) 0.0000225 = 2 x 10⁻⁵

2) 219,000 = 2 x 10⁵

3) 3,40,000 = 3 x 10⁶

4) 297,000 = 3 x 10⁵

5) 0.0000034 = 3 x 10⁻⁶

What are Exponents?

The exponent of a number indicates how many times a number has been multiplied by itself. For instance, 34 indicates that we have multiplied 3 four times. Its full form is 3 3 3 3. Exponent is another name for a number's power. A whole number, fraction, negative number, or decimal are all acceptable.

We have to match the following terms :

1) 0.0000225 = 2 x 10⁻⁵
we can write 0.0000225 as
2.25 / 100000
or, 2.25 / 10⁵
then, 2.25 x 10⁻⁵

2) 219,000 =  2 x 10⁵
as the numbers after 2 are 5
therefore we write 10⁵

3) 3,40,000 = 3 x 10⁶
as the numbers after 3 are 6
therefore we write 10⁶

4) 297,000 = 3 x 10⁵
we round off 297 as 300
as the numbers after 3 are 5
therefore we write 10⁵

5) 0.0000034 = 3 x 10⁻⁶
we can write 0.0000034 as
3.4/ 1000000
or, 3.4 / 10⁶
then, 3.4x 10⁻⁶

Hence, the matching numbers are:
1) 0.0000225 = 2 x 10⁻⁵
2) 219,000 = 2 x 10⁵
3) 3,40,000 = 3 x 10⁶
4) 297,000 = 3 x 10⁵
5) 0.0000034 = 3 x 10⁻⁶

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In a nonequivalent control group interrupted time series design, the independent variable is studied as a factor that influences the dependent variable, while accounting for potential confounding factors. The design involves two groups: the treatment group, which receives the intervention or manipulation of the independent variable, and the nonequivalent control group, which does not receive the intervention.

The control group serves as a comparison for assessing the impact of the independent variable on the treatment group. By comparing the outcomes of both groups over a series of time points before and after the intervention, researchers can analyze the effect of the independent variable while minimizing the influence of extraneous factors.

This design is particularly useful when random assignment of participants to the treatment and control groups is not feasible, as it helps to control for potential threats to internal validity. By using an interrupted time series approach, the researcher can better understand the patterns of change in the dependent variable and establish a causal relationship between the independent variable and the observed outcomes.

In summary, in a nonequivalent control group interrupted time series design, the independent variable is studied as a factor that affects the dependent variable, while using a control group to account for potential confounding factors and enhance the validity of the findings.

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The total cost of repayment over 5 years is $23,300.

A loan repayment refers to the act of paying back money previously borrowed from a lender.

To get total cost of repayment, we must principal amount, the interest rate and the duration of the loan.

The formula to get total cost of repayment is given by \(Total Cost of Repayment = Principal + Interest\)

Interest = Principal * Interest Rate * Time

Given:

Principal amount is $20,000

Interest rate is 3.3%

Duration is 5 years.

Interest = $20,000 * 0.033 * 5

Interest = $3,300

Total Cost of Repayment = Principal + Interest

= $20,000 + $3,300

= $23,300.

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