PLEASE ANSWER ASAP!!!


Fill in the box for the missing numerator in the set of equivalent expressions in the picture

Answer options are also shown in picture




any unrelated answer will be reported​

Answer:

[tex]A = \frac{1}{2}h(b_1+b_2)\\2A = h(b_1+b_2)\\h = \frac{2A}{b_1+b_2}[/tex]

Answer:

(A) 0.11

(B) 0.0526

(C) Related

(D) 0.28

Step-by-step explanation:

The data provided is:

DC = event that a randomly selected driver is using a cell phone

TA = event that a randomly selected driver has a traffic accident

(A)

From the provided data:

P (DC) = 0.11

(B)

From the provided data:

P (TA) = 0.0526

(C)

To determine whether the events DC and TA are dependent, we need to show that:

[tex]P(DC\cap TA)\neq P(DC)\times P(TA)[/tex]

The value of P (DC ∩ TA) is,

[tex]P(DC\cap TA)=P(DC|TA)\time P(TA)[/tex]

                     [tex]=0.28\times 0.0526\\=0.014728[/tex]

Now compute the value of P (DC) × P (TA) as follows:

[tex]P (DC) \times P (TA)=0.11\times 0.0526=0.005786[/tex]

So, [tex]P(DC\cap TA)\neq P(DC)\times P(TA)[/tex]

Thus, cell phone use while driving and traffic accidents are related.

(D)

The probability that the driver was distracted by a cell phone given that the driver has an accident is:

P (DC | TA) = 0.28

Answer:

The correct option is D

P(A or B) = 1.30

Step-by-step explanation:

Given two independent (or mutually exclusive) events with P(A) = 0.60, and P(B) = 0.70

P(A or B) = P(A) + P(B)

= 0.60 + 0.70

= 1.30

This is however absurd, as the probability of an event can only be less than or equal to 1, and not less than 0.

Based on the information given, the value of then P(A or B) will be D. 1.30.

From the information given, A and B are independent events with P( A) = 0.60 and P( B) = 0.70.

Then, the value of P(A or B) will be calculated thus:

= 0.60 + 0.70

= 1.30

In conclusion, the correct option is D.

Learn more about probability on:

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Answer:

9

Step-by-step explanation:

What we have to note is that the slope of a line is rise/run. This means that the amount of y change in that line is 4, and the amount of x change is 3.

We can now use a proportion to find the value of w.

[tex]\frac{4}{3} = \frac{12}{x}[/tex]

Cross multiply:

[tex]12\cdot36 = 36\\\\36\div4=9[/tex]

Hope this helped!

Answer: 9

Step-by-step explanation:

Answer:  [tex]x = \frac{7\sqrt{6}}{2}\\\\[/tex]

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

Explanation:

Focus on the upper triangle. This is a 30-60-90 triangle. The short leg is 7 and the long leg is [tex]7\sqrt{3}[/tex]. The long leg is always sqrt(3) times that of the short leg (and this only works for 30-60-90 triangles).

In short, the horizontal length is [tex]7\sqrt{3}[/tex] units long.

Now move to the lower triangle. This is a 45-45-90 triangle with congruent legs (each are x units long). We just found the hypotenuse is [tex]7\sqrt{3}[/tex]

We can use the pythagorean theorem to say the following:

[tex]a^2 + b^2 = c^2\\\\x^2 + x^2 = (7*\sqrt{3})^2\\\\2x^2 = 147\\\\x^2 = \frac{147}{2}\\\\x = \sqrt{\frac{147}{2}}\\\\x = \frac{\sqrt{147}}{\sqrt{2}}\\\\x = \frac{\sqrt{147}*\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\x = \frac{\sqrt{147}*\sqrt{2}}{2}\\\\x = \frac{\sqrt{147*2}}{2}\\\\x = \frac{\sqrt{294}}{2}\\\\x = \frac{\sqrt{49*6}}{2}\\\\x = \frac{\sqrt{49}*\sqrt{6}}{2}\\\\x = \frac{7\sqrt{6}}{2}\\\\[/tex]

Answer:

Option b. None is the correct option.

The Answer is 63%

Step-by-step explanation:

To solve for this question, we would be using the z score formula

The formula for calculating a z-score is given as:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

We have boxes X and Y. So we will be combining both boxes

Mean of X = 100 lb

Mean of Y = 5 lb

Total mean = 100 + 5 = 105lb

Standard deviation for X = 1 lb

Standard deviation for Y = 0.5 lb

Remember Variance = Standard deviation ²

Variance for X = 1lb² = 1

Variance for Y = 0.5² = 0.25

Total variance = 1 + 0.25 = 1.25

Total standard deviation = √Total variance

= √1.25

Solving our question, we were asked to find the percent of filled boxes weighing between 104 lb and 106 lb are to be expected. Hence,

For 104lb

z = (x-μ)/σ,

z = 104 - 105 / √25

z = -0.89443

Using z score table ,

P( x = z)

P ( x = 104) = P( z = -0.89443) = 0.18555

For 1061b

z = (x-μ)/σ,

z = 106 - 105 / √25

z = 0.89443

Using z score table ,

P( x = z)

P ( x = 106) = P( z = 0.89443) = 0.81445

P(104 ≤ Z ≤ 106) = 0.81445 - 0.18555

= 0.6289

Converting to percentage, we have :

0.6289 × 100 = 62.89%

Approximately = 63 %

Therefore, the percent of filled boxes weighing between 104 lb and 106 lb that are to be expected is 63%

Since there is no 63% in the option, the correct answer is Option b. None.

The percent of filled boxes weighing between 104 lb and 106 lb is to be expected will be 63%.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

A machine fills boxes weighing Y lb with X lb of salt, where X and Y are normal with a mean of 100 lb and 5 lb and standard deviation of 1 lb and 0.5 lb, respectively.

The percent of filled boxes weighing between 104 lb and 106 lb is to be expected will be

Then the Variance will be

[tex]Var = \sigma ^2[/tex]

Then for X, we have

[tex]Var (X) = 1^2 = 1[/tex]

Then for Y, we have

[tex]Var (Y) = 0.5^2 = 0.25[/tex]

Then the total variance will be

[tex]Total \ Var (X+Y) = 1 + 0.25 = 1.25[/tex]

The total standard deviation will be

[tex]\sigma _T = \sqrt{Var(X+Y)}\\\\\sigma _T = \sqrt{1.25}[/tex]

For 104 lb, then

[tex]z = \dfrac{104-105}{\sqrt{25}} = -0.89443\\\\P(x = 104) = 0.18555[/tex]

For 106 lb, then

[tex]z = \dfrac{106-105}{\sqrt{25}} = 0.89443\\\\P(x = 106) = 0.81445[/tex]

Then

[tex]P(104 \leq Z \leq 106) = 0.81445 - 0.18555 = 0.6289 \ or \ 62.89\%[/tex]

Approximately, 63%.

More about the normal distribution link is given below.

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Answer:

8

Step-by-step explanation:

3x = 24

Divide both sides by 3

3x/3 = 24/3

x = 8

The solution for x in the equation, 3x = 24 is 8.

To solve the equation 3x = 24 for x, we need to isolate x on one side of the equation. Here's how we can do that:

Start with the equation 3x = 24.

Divide both sides of the equation by 3 to isolate x. This gives us (3x)/3 = 24/3.

Simplify the equation: x = 8.

Therefore, the solution to the equation 3x = 24 is x = 8.

This means that if we substitute x with 8 in the original equation, we get 3(8) = 24, which is true.

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Answer:

[tex]area = \pi {r}^{2} \\ r = 7 \\ a = \frac{22}{7} \times {7}^{2} [/tex]

[tex]a = \frac{22}{7} \times 49 \\ a = 22 \times 7 = 154 {cm}^{2} [/tex]

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ a \: = 3.14 \times {7}^{2} \\ a \: = 3.14 \times 49 = 153.86 {cm}^{2} [/tex]

Answer:

C. 153.86 in^2

Step-by-step explanation:

The area of a circle can be found using the following formula.

[tex]a=\pi r^2[/tex]

where r is the radius.

We know the radius is 7 inches. Therefore, we can substitute 7 in for r.

[tex]r= 7 in[/tex]

[tex]a=\pi (7 in)^2[/tex]

Evaluate the exponent.

(7 in)^2= 7 in * 7 in= 49 in^2

[tex]a= \pi * 49 in^2[/tex]

Let's use 3.14 for pi.

[tex]a= 3.14 * 49 in^2[/tex]

Multiply 3.14 and 49

3.14 * 49=153.86

[tex]a= 153.86 in^2[/tex]

The area of the circle is 153.86 square inches. Therefore, C is the correct answer.

Answer:

0.25.

Step-by-step explanation:

To find the common difference, you need to find the number that each value increases by.

1.75 - 1.5 = 0.25.

1.5 - 1.25 = 0.25.

1.25 - 1 = 0.25.

All values apparently increase by 0.25. So, that is your common difference.

Hope this helps!

Answer:

0.25

Step-by-step explanation:

The common difference is the value added to the first term to get the second term, then added to the second to get the third and so on.

To find the common difference, subtract the first term from the second. Then check by subtracting the second term from the third.

The sequence is:  1,1.25,1.5,1.75

second term - first term

1.25- 1= 0.25

third term- second term

1.5 -1.25= 0.25

The common difference in the arithmetic sequence is 0.25

Answer:

  one car at a time

Step-by-step explanation:

For each car in the shorter train* (A) ...

When there are no more train A cars in front of train B, both trains can continue on their journey.

We assume cars can be decoupled at any point in the train, so that any required order of cars can be preserved. We further assume that train B can move any one of train A's cars in addition to all of its own.

_____

* The total number of car lengths that must pass the offshoot is (at least) the product of the number of cars in both trains, so it doesn't seem to matter which train makes use of the offshoot. We choose to decouple the cars of train A so that the minimum number of cycles is required--even though each cycle is longer.

Answer

The mean is 8.6

The median is 7

And the mode is 6

Answer:

combined like terms and then follow  the order of operations.

Step-by-step explanation:

Answer:

they are parallel lines so have the same slope.   Difference would be the where they intersect the x and y axis

Step-by-step explanation:

Answer:

There is no solution to this.

Explanation :

We have a double system of equation to solve. Let x be the big number and let y be the smaller number, such that y < x.

x is equal to twice a smaller number plus 3, which translates into : x = 2y + 3

and x is equal to twice the sum of the smaller number and 1 : x = 2 * (y + 1)

We get this system to solve : [tex]\left \{{{x=2y+3} \atop {x=2(y+1)}} \right. \left \{{{x-2y=3} \atop {x-2y=2}} \right.[/tex]

It's either x minus 2y equals 3, or x minus 2y = 2 but it can't be both. No solutions exist because the situation describes two lines that have the same slope and different y-intercepts

Answer:

see below

Step-by-step explanation:

the observed ph is 6.32

the mean pH of Tap water is shown below

                       sum of observations

Mean (Tap) = -----------------------------------

                       number of observations

 (7.24 +7.05 +7.07 +6.6 +7.28 +7.29 +7.05 +6.7 +7.16 +7.07 +7.12 +6.56

= ---------------------------------------------------------------------------------------------------------

                                                      12

= 7.016

then mean pH of bottle water is shown below

                            sum of observations

Mean (Bottles) = -----------------------------------

                             number of observations

 (5.35 + 5.29 + 5.46 + 5.4 + 5.95 + 6.22 + 5.43 +5.48 +6.06 +5.33 +5.46 +5.41)

= --------------------------------------------------------------------------------------------------------------

                                                      12

= 5.57

theoretically.. the higher the pH values should be between 0 to 14.

based from the above results, the mean tap water has an average of 7.016 and by looking at the pH chart... its a neutral or pure water.

while the average pH Bottles has 5.57, this means its more acidic water, or by looking at the pH chart its an acid rain water.

a 6.32pH is below pure water, based on the chart looks like a urine/saliva.

Answer: B. Always

Explanation:

Two points always create a line. The correct answer is option B.

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.

If there are two points A(x₁,y₁) and B(x₂,y₂) then the distance between the two points will be the length of the line. The formula to calculate the distance is given as below:-

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore, the two points always create a line. The correct answer is option B.

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Answer:

6 lockers have both students' stickers

Step-by-step explanation:

There are 130 lockers in the hallway

Janine goes down a hallway in the school and puts a sticker on every fourth locker.

Janine= 4th, 8th, 12th, 16th, 20th, 24th, 28th, 32nd, 36th, 40th, 44th, 48th, 52nd, 56th, 60th, 64th, 68th, 72nd, 76th, 80th, 84th, 88th, 92nd, 96th, 100th, 104th, 108th, 112th, 116th, 120th, 124th, 128th.

Thor goes down the same hallway, putting one of his stickers on every fifth locker

Thor= 5th, 10th, 15th, 20th, 25th, 30th, 35th, 40th, 45th, 50th, 55th, 60th, 65th, 70th, 75th, 80th, 85th, 90th, 95th, 100th, 105th, 110th, 115th, 120th, 125th, 130th.

Common multiples of Janine fourth locker and Thor fifth locker= 20, 40, 60, 80, 100, 120

Therefore,

6 lockers have both students' stickers

1 inch = four 1/4’s

1 inch = 4 feet

6 X 4 = 24 feet

3/4 inches = 3 feet.

6 3/4 inches = 27 feet

4 x 4 = 16

1/2 inch = 2 feet

4 1/2 inches = 18 feet

Room is 27 feet x 18 feet

Answer:

No, it's not enough

Step-by-step explanation:

Given

Tilling Dimension = 4m by 2m

Tile Dimension = 400mm by 400mm

Required

Determine the 45 tiles is enough

First;

The area of the tiling has to be calculated

[tex]Area = Length * Breadth[/tex]

[tex]Area = 4m * 2m[/tex]

[tex]Area = 8m^2[/tex]

Next, determine the area of the tile

[tex]Area = Length * Breadth[/tex]

[tex]Area = 400mm * 400mm[/tex]

Convert measurements to metres

[tex]Area = 0.4m* 04m[/tex]

[tex]Area = 0.16\ m^2[/tex]

Next, multiply the above area result by the number of files

[tex]Total = 0.16m^2 * 45[/tex]

[tex]Total = 7.2m^2[/tex]

Compare 7.2 to 8

Hence, we conclude that the 45 tiles of 400mm by 400 mm dimension is not enough to floor his bathroom

Answer:

7

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

let,x=-1

f(x)= 12/4x + 2

f(-1)= 12/4x(-1) + 2

=12/(-4) +2

= -3+2

= -1

Answer:

2x^3+5x^2+2x

Step-by-step explanation:

x+2 x and 2x+1

The volume of a rectangular prism is solved by multiplying the height, width, and base. So to solve for the volume, it is (x^2+2x)*(2x+1) [just multiplies x+2 and x] 2x^3+5x^2+2x

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

6.8 feet

Answer From Gauth Math

Width = area/length = 22.6/5.2 = 113 ≈/26

Diagonal = √[length² + width²] ≈ √23.0 feet

Answer:

a≥0

Step-by-step explanation:

a-82≥-82

a≥-82+82

a≥0

Answer:

420 miles

Step-by-step explanation:

60 ×7=420

thank

Answer:210 miles

Step-by-step explanation:because there is 7 hours so you need to multiply up to six hours so 60 x 3 = 180 or 6 hours + 1 hour = 30 miles so 180+30= 210

Answer:

Option (1)

Step-by-step explanation:

Monica earned a bonus = $60

Per hour earning in addition to bonus = $8.50

Let she worked for 'h' hours this week.

Then total earning from the hourly rate = $8.50h

Total earning for the week = Earning of 'h' hours + Bonus earned

                                             = $(8.50h + 60)

Therefore, Option (1) will represent Monica's earnings for the week.

Answer:

8.50h + 60

Step-by-step explanation:

Answer:

Answer:

-7.692%

Step-by-step explanation:

a.)Buying: total cost

Total cost= commission + (price per share* # of shares ) ;

Total cost= 12 + (11.06*750)= 12+8295 = $8,307

b.)Net gain or loss;

First, find cash received from sale of stock and deduct commission;

Cash from sale =10.24 * 750= 7,680

deduct commission= 7680-12= $7,668

Gain or loss= sale-cost = 7668-8307 = -$639, meaning there is a loss.

c.) Annual rate of return= (net gain or loss/amount paid)*100%

return= -639/(8307)*100 = -7.692%

Step-by-step explanation:

Answer:

I can’t really explain this bc i did it mentally, but i got 162.5

Answer:

c

Step-by-step explanation:

use the distributive property to expand the expression:

-2(9 + 32n)

-2*9 + (-2*32n)

-18 - 64n