Does anyone know how to solve this?

Answer:

after simplifying, we get,

23/6

Step-by-step explanation:

(2/3+5/2-7/3)+(3/2+7/3-5/6)

We simplify,

\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)

The correct answer is C. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the population being sampled is normally distributed.

The Central Limit Theorem (CLT) is a statistical principle that states that the sampling distribution of the mean of a sufficiently large sample from any population, regardless of the population's distribution shape, will be approximately normally distributed.

However, the CLT does not guarantee that the individual variable or the sampling distribution of a different statistic (such as the sum or the variance) will be normally distributed. The underlying population needs to be approximately normally distributed for the sampling distribution to also be approximately normal.

Therefore, the statement that the sampling distribution of x is always approximately normally distributed is not accurate. It is only approximately normal if the population being sampled is normally distributed or the sample size is large enough (due to the Central Limit Theorem).

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Answer: The answer is 1x

Step-by-step explanation: Because It has (10x-9) Just Subtracted

Given: μ=14 and σ=2. We have to find the following probabilities: a. P(x≥14.5) b. P(x≤13) c. P(15.56≤x≤18.8) d. P(9.5≤x≤17) Given, μ=14 and σ=2.

Therefore, P(9.5 ≤ x ≤ 17) = 0.921

Therefore, Z= (x - μ)/σ can be used to calculate the standard normal probabilities, where Z is a standard normal random variable. Since we don't know the value of x, we will use the Z-distribution for the following calculations.a) P(x ≥ 14.5) Now, Z = (x - μ)/σ

= (14.5 - 14)/2

= 0.25 \

Using Z-table, the area to the left of Z = 0.25 is 0.5987 P(x ≥ 14.5)

= 1 - P(x < 14.5)

= 1 - 0.5987

= 0.4013

Therefore, P(x ≥ 14.5) = 0.4013b) P(x ≤ 13)

Now, Z = (x - μ)/σ= (13 - 14)/2= -0.5

Using Z-table, the area to the left of Z = -0.5 is 0.3085P(x ≤ 13)= 0.3085

Therefore, P(x ≤ 13) = 0.3085c) P(15.56 ≤ x ≤ 18.8)

Now, Z1= (15.56 - μ)/σ= (15.56 - 14)/2= 0.78Z2= (18.8 - μ)/σ= (18.8 - 14)/2= 2.4

Using Z-table, the area to the left of Z = 0.78 is 0.7823

Therefore, P(15.56 ≤ x ≤ 18.8)= P(z < 2.4) - P(z < 0.78)= 0.9918 - 0.7823= 0.2095

Therefore, P(15.56 ≤ x ≤ 18.8) = 0.2095d) P(9.5 ≤ x ≤ 17)

Now, Z1= (9.5 - μ)/σ= (9.5 - 14)/2= -2.25Z2= (17 - μ)/σ= (17 - 14)/2= 1.5

Using Z-table, the area to the left of Z = -2.25 is 0.0122

The area to the left of Z = 1.5 is 0.9332

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Answer: 85.25

Step-by-step explanation:

To solve this problem, we need to use the formula for surface area of a triangular prism, which is: Surface Area = 2 × (base area) + (lateral area). So, the surface area of the new ramp that Santiago needs to build is 361.8 square feet.

Let's first find the base area of Santiago's current ramp. Since the ramp is in the shape of a triangular prism, the base is a triangle. Let's call the base dimensions b and h, and the length of the ramp l. Then the base area is:
base area = (1/2)bh
We are not given the dimensions of the triangle, but we are given the surface area of the ramp, which is 40.2 ft^2. So we can set up an equation:
2 × (base area) + (lateral area) = 40.2
Substituting the formula for base area, we get:
2 × (1/2)bh + (lateral area) = 40.2
Simplifying:
bh + (lateral area) = 40.2
Now we need to find the lateral area. Since the ramp is in the shape of a triangular prism, the lateral area is the area of three rectangles, each with base l and height equal to one of the dimensions of the triangle. Let's call these dimensions x, y, and z, so that:
lateral area = xl + yl + zl
We are given that Santiago needs to build a ramp 3 times longer in every dimension than the ramp he has. So the new dimensions of the triangle are 3b, 3h, and 3l. The new lateral area is:
(3b)(3l) + (3h)(3l) + (3b)(3h) = 27bl + 27hl + 27bh
Substituting this into our equation for surface area, we get:
bh + 27bl + 27hl + 27bh = 40.2
Simplifying:
55bh + 27bl + 27hl = 40.2

Now we can solve for the new surface area by using the formula for surface area again, but with the new dimensions:
Surface Area = 2 × (base area) + (lateral area)
Substituting in the new dimensions, we get:
Surface Area = 2 × (1/2)(3b)(3h) + (27bl + 27hl + 27bh)
Simplifying:
Surface Area = 9bh + 54bl + 54hl
Substituting in the equation we found earlier:
Surface Area = 9bh + 54bl + 54hl = (40.2 - 27bl - 27hl)/55
Multiplying both sides by 55:
495bh + 2970bl + 2970hl = 40.2 - 27bl - 27hl
Simplifying:
522bh + 2997bl + 2997hl = 40.2
So the surface area of the new ramp is 522bh + 2997bl + 2997hl square feet.

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Therefore, the sum of the first 7 terms of the given geometric sequence is 127/128.

To find the sum of the first 7 terms of a geometric sequence, we need to determine the common ratio and the first term of the sequence.

Let's denote the first term of the sequence as 'a' and the common ratio as 'r'.

Given that the 4th term is 1/16 and the 7th term is 1/128, we can write the following equations:

a * r^3 = 1/16 (equation 1)

a * r^6 = 1/128 (equation 2)

Dividing equation 2 by equation 1, we get:

(r^6)/(r^3) = (1/128)/(1/16)

r^3 = 1/8

Taking the cube root of both sides, we find:

r = 1/2

Substituting the value of r back into equation 1, we can solve for 'a':

a * (1/2)^3 = 1/16

a * 1/8 = 1/16

a = 1/2

Now we have the first term 'a' as 1/2 and the common ratio 'r' as 1/2.

The sum of the first 7 terms of the geometric sequence can be calculated using the formula:

Sum = a * (1 - r^n) / (1 - r)

Substituting the values into the formula, we have:

Sum = (1/2) * (1 - (1/2)^7) / (1 - 1/2)

Simplifying the expression

Sum = (1/2) * (1 - 1/128) / (1/2)

Sum = (1/2) * (127/128) / (1/2)

Sum = (127/128)

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Answer:

278.1

Step-by-step explanation:

Follow order of operations

Multipacation first (in this situation) and then just add left to right :)

To determine whether the process is in control or not, we can use a control chart. The control chart is a graphical tool used to monitor the stability of a process over time by plotting the sample statistics such as means or proportions over time and comparing them to control limits.

In this case, we are interested in monitoring the proportion of claims that were mailed within the five-day limit. We will use a p-chart, which is a control chart used to monitor the proportion of nonconforming items in a sample.

The formula for the p-chart is:

p = (number of nonconforming items in the sample) / (sample size)

The control limits for the p-chart are:

Upper control limit (UCL) = p-bar + 3sqrt(p-bar(1-p-bar)/n)

Lower control limit (LCL) = p-bar - 3sqrt(p-bar(1-p-bar)/n)

where p-bar is the overall proportion of nonconforming items, n is the sample size, and sqrt is the square root function.

Let's calculate the p-chart for the given data. The total number of samples is 24 and the sample size is 100.

First, we calculate the proportion of claims that were mailed within the five-day limit for each sample:

p1 = 1 - 12/100 = 0.88

p2 = 1 - 14/100 = 0.86

p3 = 1 - 18/100 = 0.82

p4 = 1 - 10/100 = 0.90

p5 = 1 - 8/100 = 0.92

p6 = 1 - 12/100 = 0.88

p7 = 1 - 13/100 = 0.87

p8 = 1 - 17/100 = 0.83

p9 = 1 - 13/100 = 0.87

p10 = 1 - 12/100 = 0.88

p11 = 1 - 15/100 = 0.85

p12 = 1 - 21/100 = 0.79

p13 = 1 - 19/100 = 0.81

p14 = 1 - 17/100 = 0.83

p15 = 1 - 23/100 = 0.77

p16 = 1 - 24/100 = 0.76

p17 = 1 - 21/100 = 0.79

p18 = 1 - 9/100 = 0.91

p19 = 1 - 20/100 = 0.80

p20 = 1 - 16/100 = 0.84

p21 = 1 - 11/100 = 0.89

p22 = 1 - 8/100 = 0.92

p23 = 1 - 20/100 = 0.80

p24 = 1 - 7/100 = 0.93

Next, we calculate the overall proportion of claims that were mailed within the five-day limit:

p-bar = (p1+p2+...+p24)/24 = 0.8575

Then, we calculate the control limits for the p-chart:

UCL = p-bar + 3sqrt(p-bar(1-p-bar)/n) = 0.8992

LCL = p-bar - 3sqrt(p-bar(1-p-bar)/n) = 0.8158

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Answer: When do you need it done?

Step-by-step explanation: ?

Answer:

Step-by-step explanation:

x+y=17

x-y = 7

From equation 2, x = 7 + y

put this in equation 1.

(7+y) + y = 17

7+2y = 17

2y = 10

y = 5.

We said that x = 7+y

thus, x = 7 + 5

x = 12.

2x+2y=36

2(x+y) = 36

Thus, x + y = 18.

x+y = 18

x-y=6 using elimination (literally simplifying this)

2x = 24 (y-y=0. ELIMINATED!)

x = 12

When x = 12,

x+y=18

12+y=18

y=6.

3x = y

x + y = 20

From 1, y = 3x.

x + (3x) = 20

4x = 20

x = 5.

when x = 5,

y = 3x

y = 3(5)

y = 15.

x+y = -4

xy = -21

from 1, x = -4-y

=> y(-4-y)= -21

-y²-4y = -21

Therefore,

y² + 4y -21 = 0

y= 3 or -7.

When y = 3,

x + 3 = -4

x= -7.

When y = -7,

x + (-7) = -4

x-7=-4

x = 3.

Hope these help! :)

*fingers cracking*

Move 6x to the right side

2y = -6x - 14

Divide all numbers by 2 to isolate the variable

2y/2 = -6x/2 - 14/2

y = -3x - 7

Answer:

#9 has 8 vertices

# 10 has 5 vertices

Step-by-step explanation:

A vertex is is a point where two or more curves, lines, or edges meet.  The word "vertices" is the plural of the word "vertex."

Answer:

C) 89.12 m^2

Step-by-step explanation:

You can find the area of this figure by finding the areas of both shapes (semicircle and rectangle) then adding both areas.

To find the area of a semicircle, use this formula:

1/2πr^2 (1/2 x 3.14 x radius x radius)

Here, this radius is 4.

Now, we just plug in the numbers.

[3.14 is always used for π (pi)].

1/2 x 3.14 x radius x radius

                ↓

1/2 x 3.14 x 4 x 4 = 25.12

25.12 is the area of the semicircle.

Now, we must find the area of the square.

SQUARES ARE HAVE EQUAL SIDES, SO TO FIND THE AREA, WE SIMPLY MULTIPLY A SIDE LENGTH BY ITSELF TWICE.

8 x 8 = 64.

Now that we have both areas, we add to find the area of the figure.

25.12 + 64 = 89.12

Therefore, the area of this figure is 89.12 meters^2.

Answer:

1.89753

Step-by-step explanation:

22/11,594

         \(\frac{22}{11.594} * 1000 = \frac{22000}{11594}\)

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Answer: -3.11111112

Step-by-step explanation:

1 and 5/9 as a decimal is 1.555555556

-1/2 as a decimal is -0.5

1.555555556 divided by -0.5 is -3.11111112

Answer:

please mark me brainlist

Step-by-step explanation:

p = proportion of residents qualified for discounts = 0.70

Sample size = 20

If X is the no of residences selected for discounts then x is binomial with (20,0.7)

P(X>=12) = 0.8867

The value of x in the equation is x = -1 and x = -4.67

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

3x^2 + 13x + 4 = 0

This is a quadratic equation that can be solved using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 3, b = 13, c = 4

So, we have

x = (-13 ± √(13² - 4 * 3 * 4)) / 2 * 3

x = (-17 ± √(169 +- 48)) /6

x = (-17 ± 11) /6

Expand

x = (-17 + 11)/6 and x = (-17 - 11)/6

Evaluate

x = -1 and x = -4.67

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Answer:

C) 8

Step-by-step explanation:

5x=2x+24

5x-2x=24

3x=24

x=8

The value cosθ is 0.707.

The value angle z is -45⁰, and 45⁰.

The value of angle θ  is 45⁰ and 315⁰.

The value cosθ, and angle Z is calculated by applying trigonometry ratio as follows;

for question 6,

tan θ = opposite side/adjacent

tan θ = 5/5

tan θ = 1

θ = 45⁰ = z

cos θ = 0.707

for question 7;

tan z = opp/adjacent

tan z = -5/5

tan z = -1

z = arc tan (-1)

z = -45⁰ =

The value of θ is calculated as;

θ = 360 - 45

θ = 315

cos (315) = 0.707

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The present value of this investment project is $72,500. This can be solved by the concept of Compound interest.

The perpetual cash flow of $4,350 per year can be considered as an annuity perpetuity, where the cash flow is constant forever. To calculate the present value of this perpetuity, we can use the formula:

Present Value = Annual Cash Flow / Discount Rate

Here, the annual cash flow is $4,350, and the discount rate is the interest rate of 6%. Thus, we can calculate the present value as:

Present Value = $4,350 / 0.06

Present Value = $72,500

Therefore, to participate in this investment project, you would need to pay $72,500 today to receive $4,350 per year forever, starting from one year from now

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

Explanation:

Using a calculator,

We see that 12/30 = 0.4 is the odd one out.

The Equivalent Fraction are:

30/70, 9/21 and 6/14.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

To find the equivalent fraction we need to simplify the fraction.

First. 30/70

= 3/7

second, 12/30

= 6/15

= 3/5

third, 9/21

= 3 / 7

fourth, 6/14

= 3 /7

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a) 5/8

b) 3/5

Hope this helps

Answer:

more than

Step-by-step explanation:

Answer: (A ) greater than

Step-by-step explanation:

The answer is greater than the number Of points Luther scores in each game

All you have to do is count the little lines and wherever the little end part of the line in box ends is the number of points he gets a game so Nelson is 24 points and Luther is 19 points.

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

<95141404393>

Answer:

a

Step-by-step explanation:

 Answer: a and b bc that are in the negative-positive quad

Therefore, the temperature of the can of soda after 115 minutes is approximately 55°F, rounded to the nearest degree.

A mathematical equation is an expression with equality on both sides of the equal to sign that connects two other expressions. Think about the equation 3y = 16 as an illustration.

To find the value of k, we need to use the information given to solve for k in the equation T = Ta + (To - Ta) * \(e^(-kt)\), where T is the temperature of the can of soda, Ta is the ambient temperature (73°F), To is the temperature of the refrigerator (39°F), and t is the time elapsed in minutes.

We know that after 15 minutes, the temperature of the can of soda reaches 61°F, so we can substitute these values into the equation and solve for k:

61 = 73 + (39 - 73) * \(e^(-k * 15)\)

-12 = -34 * \(e^(-15k)\)

0.3529 =\(e^(15k)\)

㏒(0.3529) = 15k

k = -0.0301

So k is approximately -0.0301, rounded to the nearest thousandth.

To find the temperature of the can of soda after 115 minutes, we can use the same equation with the value of k we just found:

T = 73 + (39 - 73) * \(e^(-0.0301 * 115)\)

T = 73 + (-34) * \(e^(-3.47)\)

T = 73 + (-34) * 0.54

T = 54.62

Therefore, the temperature of the can of soda after 115 minutes is approximately 55°F, rounded to the nearest degree.

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Answer:

Minimum cost needed = $221

Remaining quart paint = 7/8

Step-by-step explanation:

Let

x = number of 1 gallon paints

y = number of 1 quart paints

1 gallon covers 320 square feet

1 quart covers 80 square feet

Number of gallons paint needed = Total siding of the house / 320 square feet

= 2250 / 320

= 7.0312

Approximately to the nearest whole number

Number of gallons paint needed = 7 gallons

Total siding of the house covered by gallons = 7 gallons × 320 square feet

= 2,240 square feet

Siding of the house remaining = Total siding - Siding covered

= 2,250 - 2,240

= 10 square feet

1 quart covers 80 feet

Therefore, 1 quart will cover the remaining 10 square feet

A. The minimum cost of the paint needed to complete the job

Total cost = (Price of gallons × Quantity of gallons needed) + (price of quart × Quantity of quart needed)

= (29 × 7) + (18 × 1)

= 203 + 18

= $221

Minimum cost needed = $221

B. How much paint is left over

Recall

1 quart covers 80 square feet

And remaining siding to be covered = 10 square feet

That is,

10/80 = 1/8 of a quart paint used

Remaining quart paint = 1 - 1/8

= 7/8 quart paint

Answer:

no

Step-by-step explanation:

no

It takes 3,510,000 ft-lbs of work to pump all the water out of the rectangular water tank.

To calculate the work done in pumping all the water out of a rectangular water tank, we need to find the volume of the tank and then multiply it by the weight of water and the distance it needs to be lifted.
Step 1: Calculate the volume of the tank.
The volume of a rectangular tank can be calculated using the formula:
Volume = length × width × depth
In this case:
length = 25 ft
width = 10 ft

depth = 15 ft
Volume = 25 ft × 10 ft × 15 ft = 3750 cubic feet
Step 2: Find the weight of the water in the tank.
The weight of water is given as 62.4 pounds per cubic foot.

Therefore, the weight of the water in the tank is:
Weight = Volume × Weight per cubic foot
Weight = 3750 cubic ft × 62.4 lbs/cubic ft = 234000 lbs
Step 3: Calculate the work done.
Since the depth of the tank is 15 ft, we can assume that the water needs to be pumped out to a height of 15 ft.

Work can be calculated using the formula:
Work = Force × Distance
In this case:
Force = Weight of the water = 234000 lbs
Distance = Depth of the tank = 15 ft
Work = 234000 lbs × 15 ft = 3,510,000 ft-lbs.

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It is true that when you design an algorithm, it should be general enough to provide a solution to many problem instances, not just one or a few of them.

In mathematics, an algorithm is a process, a description of a series of steps that may be used to solve a problem; however, they are now far more prevalent than that.

Although many areas of research (and daily life) employ algorithms, long division's step-by-step process is probably the most prevalent example.

Thus, It is true that when you design an algorithm, it should be general enough to provide a solution to many problem instances, not just one or a few of them.

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Answer:

y= −1/2x + 3/4

Step-by-step explanation:

Write in slope-intercept form, y=mx +b.

Problem: 6x+12y=9

Hopefully this helps you!

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