31202 imagine math help

The probability of the Bob arrived before 1.30 P.M is 1/2 if the Alice arrives after Bob.

According to the question,

Alice and Bob each arrive at a party at a random time between 1.00 P.M and 2.00 P.M.

In probability theory, the sample space(s) of a random trial is the set all possible results of that trial.

Let 'x' be the arrival time of Alice and 'y' be the arrival time of Bob.

s = {(x, y) /1≤x≤2 and 1≤y≤2}

In order to find the probability of the Bob arrived before 1.30 P.M, if the Alice arrives after Bob.

Formula for Probability = [tex]\frac{Number of favorable events}{Total number of events}[/tex]

= 1/2

Hence, the probability of the Bob arrived before 1.30 P.M is 1/2 if the Alice arrives after Bob.

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The probability that exactly one tank in the sample contains high-viscosity material is P(A) = 0,4607 or P(A) = 46,07 %

P(A) = Number of favorable events/ Total number of events FE/TE

If A and B are complementary events ( the sum of them is equal to 1) then:

P(A) = 1 - P(B)

The total number of events is:

C ( 24,4) = 24! / 4! ( 24 - 4 )!    ⇒  C ( 24,4) = 24! / 4! * 20!

C ( 24,4) = 24*23*22*21*20! / 4! * 20!  

C ( 24,4) = 24*23*22*21/4*3*2C ( 24,4) = 24*23*22*21/4*3*2    ⇒  C ( 24,4) =  10626

TE = 10626

Splitting the group of tanks in two 6 with h-v  and 24-6 (18) without h-v

we get that total number of favorable events is the product of:

FE = 6* C ( 18, 3)  = 6 * 18! / 3!*15!  =  18*17*16*15!/15!

FE =  4896

Then P(A) ( 1 tank in the sample contains h-v material is:

P(A) = 4896/10626

P(A) = 0,4607     or   P(A) = 46,07 %

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It is a good practice for a server or bartender to not take patrons' drink orders too quickly

A bartender a person who prepares or serves alcoholic and some non-alcoholic beverages from behind a bar.

Below are some of the duties or responsibilities of a bartender:

So therefore, it is a good practice for a server or bartender to not take patrons' drink orders too quickly

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Answer:

see image

Step-by-step explanation:

The two circles will represent "starter" or "pudding" people and the overlap are both, but also don't forget people who chose neither. There must be 3-neither people. Because 6+7+8 only add to 21 and the question said there were 24 people.

Answer:

y = -3x - 28

Step-by-step explanation:

y = mx + b is the slope-intercept of a line.  To write an equation in this form.  I need to find the slope (m) and the y-intercept (b).  Yay!  They gave us the slope (m).  It is -3.  Now we just need to figure out the y.  We can do that by plugging in the slope (-3) and using the x (-8) and the y (-4) that they gave us from the point to solve for b.

y = mx + b

-4 = -3(-8) + b  Multiple -3(-8) Remember a negative times a negative is a positive.

-4 = 24 + b  Now subtract 24 from both side of the equation

-28 = b  Now we can write the equation

y = mx + b

y = -3x + (-28) or y = -3x -28.  Adding a negative is the same as subtracting a positive.

Answer:

$29.75

Step-by-step explanation:

If Lukas paid for the shoes with $50, and got $17.30 back, the total price of the shoes with the tax was $32.70. Because we are trying to find the price of the shoes without the 9% tax, we calculate what 91% of 32.70 is, which is $29.757

Answer:

[tex]y = -3x+4[/tex]

I hope this helps and that you can give a brainliest!

Step-by-step explanation:

A linear equation means that the y value changes at a constant rate as x increases by 1.

To find the rate of change you need to plug 2 ordered pairs into the formula:
[tex]\frac{y1-y2}{x1-x2}[/tex]

(x1,y1) can be any data point on this table. To make it easy, we will make it (2,-2).

(x2,y2) can be any data point other than the previously chosen point. So, we will choose (-1,7).

If we substitute this into the formula, previously mentioned, we get:

[tex]\frac{-2-7}{2-(-1)}[/tex]

When we solve this, we get the rate of change as -3.

This will be the "m" value in the linear equation format:
"y = mx+b"

The b value is the y-value of the data when x = 0.

So to get the b-value, you need to plug in one ordered pair into the "y=mx +b" equation.

"m" was the rate of change, which we found in the previous step.

Let's use (2,-2) as the chosen ordered pair.

By substitution, we end up with:
[tex]-2=-3(2)+b[/tex]

If we solve this out, we get:
[tex]b = 4[/tex]

m was -3 and b is now 4.

So, putting this into the equation "y = mx+b"
We get our answer as [tex]y=-3x+4[/tex].

The probability computed shows that there ia enough evidence to support the director's claim.

From the information given, the hospital director is told that 79% of the emergency room visitors are insured.

p = 0.79

q = 1 - 0.79 = 0.21

The computation of the z value is -1.91. This is a two tailed test.

The p-value will be:

= P(Z < -1.91)

= 0.0562 under the distribution table.

In this case, the p value is less than 0.10, therefore, we reject the null hypothesis.

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The measure of m<1, m<2 and m<3 are 90, 63 and 63 degrees respectively

A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.

The given figure is a kite with two intersecting lines that are perpendicular to each other.

Since the lines are perpendicular to each other, hence;

m<1 = 90 degrees

For the measure of m<2

m<2 + 90 + 27 =180

m<2 + 117 = 180

m<2 = 180 - 117

m<2 = 63degrees

Since the opposite sides are congruent, hence the measure of m<2 is congruent to m<3. Hence m<3 = 63 degrees

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Answer:

31.

Step-by-step explanation:

We have the equation:

(2x - 17) / 3 = 15     where x is the number to be found.

Multiply both sides by 3:

2x - 17 = 45

2x = 45 + 17 = 62

x = 31.

[tex]\tan 45^{\circ}=\frac{x}{2\sqrt{10}}\\\\1=\frac{x}{2\sqrt{10}}\\\\\boxed{x=2\sqrt{10}}\\\\\\\\\sin 45^{\circ}=\frac{2\sqrt{10}}{y}\\\\\frac{1}{\sqrt{2}}=\frac{2\sqrt{10}}{y}\\\\y=2\sqrt[20}\\\\\boxed{y=4\sqrt{5}}[/tex]

pi/5.

Think of a clock as a circle. The minute hand when it moves around the clock will have traveled 360 degrees or 2*pi radians, traveling 2*pi radians in 60 minutes. So3 minutes out of 60 minutes is 1/10.  So the minute hand travels 1/10 of 2*pi radians (multiply 1/10 and 2*pi to get your answer).

Therefore your answer is pi/5 which is the letter a.

Well, a Radian, simply put, is a unit of measure for angles that is based on the radius of a circle. What this means is that if we imagine taking the length of the radius and wrapping it around a circle, the angle that is formed at the center of the circle by this arc is equal to 1 Radian.

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Using the together rate, it is found that it would take each person working individually 27 and 29 hours to paint the house.

The together rate is the sum of each separate rate.

In this problem, we have that the rates are given as follows:

Hence:

[tex]\frac{1}{d} + \frac{1}{d - 2} = \frac{1}{14}[/tex]

[tex]\frac{d - 2 + d}{d(d - 2)} = \frac{1}{14}[/tex]

d² - 2d = 28d - 28.

d² - 30d + 28 = 0

(d - 29)(d - 0.96) = 0.

Both d and d - 2 have to be positive, hence the solution is d = 29, and it would take each person working individually 27 and 29 hours to paint the house.

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Answer:

3 cups for 60 biscuits

60/3=20

1 cup for 20 biscuits

95/20=4.75

4.75 cups of flour

Hope This Helps!!!

Answer:4.75

Step-by-step explanation: If 3 cups equals 60 biscuits then how much with you need for 95 biscuits

60/3 equals 20 95/20 equals 4.75 just to make sure lets multiply

475x20 equals 9500 now put the decimal back in place   95.00

Answer:

m= -1/5

Step-by-step explanation:

slope formula to find it ^^

Hi! ❄

  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

The eccentricity of the conic section below is 1, since the given conic section is a parabola, and any parabola's eccentricity is 1.

Hope that made sense !!

  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\star\tiny\pmb{_{calligraphy}}\star[/tex]

To predict the bagel sales numbers for the next month, Leigh could use Predict trend.

Given that Leigh has information on how many customers purchase bagel at her coffee shop.

We are required to answer the spreadsheet Leigh could use to predict bagel sales number for the next month.

Spreadsheet is developed for windows, macOS, Android and iOS.It features calculation through functions. In this we can use mathematical functions,logical functions, etc.

Leigh could use predict trend to predict the sales number of bagels of next month.

Hence predict trend could be used by Leigh to predict the sales for the next month.

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Question is incomplete as question should include the following:

What spreadsheet could Leigh use to predict the sales of next month?

Answer:

[tex]\frac{5x+2}{(x-4)(x+7)}[/tex]

Step-by-step explanation:

to obtain a common denominator

multiply the numerator/denominator of the first fraction by x + 7

multiply the numerator/denominator of the second fraction by x - 4

= [tex]\frac{2(x+7)}{(x-4)(x+7)}[/tex] + [tex]\frac{3(x-4)}{(x-4)(x+7)}[/tex]

simplify and add numerators leaving the common denominator

= [tex]\frac{2x+14+3x-12}{(x-4)(x+7)}[/tex]

= [tex]\frac{5x+2}{(x-4)(x+7)}[/tex]

Answer:

300

Step-by-step explanation:

25 choose 2 (exactly how it sounds like)

= (25*24)/(2*1)=600/2=300

Answer,

Leaves from home=22:15hour

get to destination=4:00hour

time taken on a journey,

from time 22:15hour to 24:00hour=2:45hour and,

time is taken form 22:00hour to 4:00hour=4:00hour
So, the total time taken to reach the destination is 2:45+4:00=6:45hour

Answer:

30.

Step-by-step explanation:

2 digit Numbers which  have factor of  2:

2*3, 2*5, 2*7, 2*11, 2*13, 2*17, 2*19, 2*23, 2*29, 2*31, 2*37, 2*41, 2*43, 2*47.

That's 14.

Then there are the ones with factor 3:

3*5 ....... 3*31 = 9 numbers.

Then

5*7  to 5*19 = 5 numbers.

7*11 , 7*13 = 2 numbers.

Total is 14 + 9 + 5 + 2

=  30.

There are 30 2-digit numbers that are the product of two different primes.

To determine the number of 2-digit numbers that are the product of two different primes, we first need to identify the primes within the range of 10 to 99. The prime numbers within this range are 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

To find the count of 2-digit numbers that are the product of two different primes, we can consider all possible pairs of these primes.

The numbers that yield 2-digit numbers with a multiple of 2 are:

(2, 5), (2, 7), (2, 11), (2, 13), (2, 17), (2, 19), (2, 23), (2, 29), (2, 31), (2, 37), (2, 39), (2, 41), (2, 43), (2, 47).

Total = 14

The numbers that yield 2-digit numbers with a multiple of 3 are:

(3, 5), (3, 7), (3, 11), (3, 13), (3, 17), (3, 19), (3, 23), (3, 29), (3, 31).

Total = 9

The numbers that yield 2-digit numbers with a multiple of 5 are:

distinct: (5, 7), (5, 11), (5, 13), (5, 17), (5, 19).

Total = 5

The numbers that yield 2-digit numbers with a multiple of 7 are:

Distincts: (7, 11), (7, 13)

Total = 2

Therefore, the total numbers of pairs are 14 + 9 + 5 + 2 = 30.

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The diagonal of the rectangle solid is [tex]\sqrt{50[/tex]

The dimensions are given as:

3,4,5

The diagonal is calculated as:

[tex]d = \sqrt{3^2 + 4^2 + 5^2[/tex]

This gives

[tex]d = \sqrt{50[/tex]

Hence, the diagonal of the rectangle solid is [tex]\sqrt{50[/tex]

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Answer: 4

Step-by-step explanation:

The points are (-1, 1) and (5, 5).

So, the difference in the y coordinates is [tex]5-1=4[/tex].

The net change between the x-coordinates and y-coordinates on the graph is 6 units and 4 units respectively.

The coordinates from the given graph are (5, 5) and (-1, 1).

Given two points, (a, f(a)) and (b, f(b)) on the graph of f(x), the net change is the difference between the two f(x) values. Thus, net change is given by f(b)−f(a).

Here, the change in x-coordinates is 5-(-1) = 6

The change in y-coordinates is 5-1 = 4

Therefore, the net change between the x-coordinates and y-coordinates on the graph is 6 units and 4 units respectively.

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Answer:

parallel because they have the same slope

Step-by-step explanation:

Answer:

I don't understand the array of numbers as written in the question.

Step-by-step explanation:

See attached image

The equation of a parabola with vertex at (-2, 2) and passes through (-3, 5) and (-1, 5) is y = 3x² + 12x + 14. The value of a in the equation is 3.

An equation is an expression that shows the relationship between two or more variables and numbers.

The graph of a quadratic equation has the shape of a parabola. The standard quadratic equation has the form:

y = ax² + bx + c

The equation of a parabola with vertex at (-2, 2) and passes through (-3, 5) and (-1, 5) is y = 3x² + 12x + 14. The value of a in the equation is 3.

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Answer:

The correct answer is A:3

Step-by-step explanation:

Answer:

large pitcher, or from 2 small pitchers, 1 medium pitcher, and 3 la

or from 2 small pitchers, 1 medium pitcher, and 3 large pitchers. If we use only large pitchers of water, Root Tissues

Identify the root tissues. Record your answer under "Slide 5" on your lab report.

Answer:

Step-by-step explanation:

150 kilometers

60 kph

tank is 20 liters

6 km/l

150/6 = 25 liters needed

$60/l

5 more liters of fuel

total cost 25 x .60 =  $15

The multiplicative rule states that when two outcomes are independent, the probability that these outcomes occur together is the product of their probabilities.

Therefore, the multiplicative rule states that when two outcomes are independent, the probability that these outcomes occur together is the product of their probabilities.

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