-7.79+9.55 what does this equal?

Answer:

∠ B = 48°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180° for ∠ B

∠ B = 180° - (90 + 42)° = 180° - 132° = 48°

Answer:

4

Step-by-step explanation:

The value of function f (x) at x = 3 is,

⇒ f (3) = 4

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = 1  ; x < 1

          = x + 1 ; x > 1

Hence, The value of function at x = 3 is defined as;

⇒ f (x) = x + 1 ; x > 1

Put x = 3;

⇒ f (3) = 3 + 1

⇒ f (3) = 4

Thus, The value of function f (x) at x = 3 is,

⇒ f (3) = 4

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The number of people who would prefer Choco chocolate chip  is 120.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

In order to determine the number of people who would prefer Choco chocolate chip , multiply the given ratio of people who prefer Choco chocolate chip by the total number of people in the group.

The number of people who would prefer Choco chocolate chip = (ratio of people who prefer choco / sum of ratios) x number of people

(3/5) x 200 = 120

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Answer:

The pic can explain evt

Answer:

babe its lost115 the one u were textin before

Step-by-step explanation:

The Venn diagram shows the correct relationship among different sets of numbers and the correct placement of -648 is (f) rational number , integer (-648) and whole number

Whole number the numbers without fractions and it is a collection of positive integers and zero.

-648 is not a whole number because it is negative.

Integers is  a whole number that can be positive, negative, or zero

Integers can be negative so -648 is an integer

Rational number any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero.

Rational includes integer and whole number.

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The given question is incomplete the complete question is :

Which Venn diagram shows the correct relationship among different sets of numbers and the correct placement of -648?

plot the frequency distribution with frequency 11, 8, 7, 5, 2, 2,2 and box numbers on X axis

It will show a graph which is Positively skewed.

After ten years, you will have approximately $34,448.12.

To calculate the future value of an amount invested at a certain interest rate, we can use the compound interest formula:

Future Value = Present Value * (1 + interest rate)^number of periods

In this case, we will receive $15,500 in three years and then invest it for seven more years at a 9% interest rate.

Step 1: Calculate the future value after three years.

Future Value after three years = $15,500 * (1 + 0.09)^3

Step 2: Calculate the future value after ten years (three years plus the additional seven years).

Future Value after ten years = Future Value after three years * (1 + 0.09)^7

Let's calculate the future value using the given values:

Future Value after three years = $15,500 * (1 + 0.09)^3

= $15,500 * (1.09)^3

= $15,500 * 1.295029

= $20,045.45

Future Value after ten years = $20,045.45 * (1 + 0.09)^7

= $20,045.45 * (1.09)^7

= $20,045.45 * 1.71899

= $34,448.12

Therefore, after ten years, you will have approximately $34,448.12.

It's important to note that this calculation assumes that the interest is compounded annually. If the interest is compounded more frequently (e.g., semi-annually or quarterly), the calculation would be slightly different.

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If the randomly selected student denies having a visa, the probability that the student also denies having a mastercard is 0.

To calculate the probability that a student denies having a Mastercard given that they have already denied having a Visa, we need to use conditional probability. Let's use the notation:

Dv: the event that a student denies having a Visa

Dm: the event that a student denies having a Mastercard

We want to find P(Dm | Dv), the probability that a student denies having a Mastercard given that they have already denied having a Visa.

We can use Bayes' rule to calculate this probability:

P(Dm | Dv) = P(Dv | Dm) * P(Dm) / P(Dv)

We know that the probability of a randomly selected student denying having a Mastercard is P(Dm) = 0.4, as given in the problem.

We also know that the probability of a randomly selected student denying having a Visa, given that they do not have a Mastercard, is P(Dv | not Dm) = 0.9, as given in the problem. This means that the probability of a student having a Visa and a Mastercard is P(not Dv and not Dm) = 0.1.

To find the probability of a randomly selected student denying having a Visa, we can use the law of total probability:

P(Dv) = P(Dv | Dm) * P(Dm) + P(Dv | not Dm) * P(not Dm)

P(Dv) = 0.6 * 0.4 + 0.1 * 0.6

P(Dv) = 0.24 + 0.06

P(Dv) = 0.3

Therefore, we have:

P(Dm | Dv) = P(Dv | Dm) * P(Dm) / P(Dv)

P(Dm | Dv) = 0 * 0.4 / 0.3

P(Dm | Dv) = 0

This means that the probability that a student denies having a Mastercard, given that they have already denied having a Visa, is 0. In other words, if a student denies having a Visa, they cannot also deny having a Mastercard.

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Answer:

Yes

Step-by-step explanation:

Yes, because 6.9 > 0.95

Answer:

Yes

Step-by-step explanation:

Yes....about 7 times faster because   6.9 >> .95 meters

Answer:

a, d

Step-by-step explanation:

A direct variation graph will just have points going in a straight line.

The only graphs with a straight line are (a) and (d).

Answer:

Therefore for this distance combined speed is to be taken. Time taken to cover 2800 miles = 2800/(60+40) = 28 hours.

Step-by-step explanation:

We can assume that B leaves Los Angeles not at noon but at 2pm Eastern Time, so 5 hours later than A leaves New York.

In 5 hours A covers 5*40=200 miles. So, A and B together should cover 3,000-200=2,800 miles.

Combined rate = 40 + 60 = 100 miles per hour.

To cover 2,800 miles they'll need 2,800/100=28 hours.

2pm Eastern Time on Monday + 28 hours = 6pm Eastern Time on Tuesday

Answer:

Yes

Step-by-step explanation:

When opening the parenthesis of 2(g + d), the 2 is being multiplied by each addend. Therefore, 2(g + d) is 2g + 2d simplified.

Answer:

i think its c

Step-by-step explanation:

Answer:

The right approach is "Systematic sampling".

Step-by-step explanation:

Answer:

t=144x3+432x2y+432xy2+144y3−x2

2xy2

Step-by-step explanation:

Answer:

y = 3x - 19.

Step-by-step explanation:

To find the slope and y-intercept of the line passing through the points (7,2) and (9,8), we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.First, we need to find the slope m:m = (y2 - y1) / (x2 - x1)

m = (8 - 2) / (9 - 7)

m = 6 / 2

m = 3So the slope of the line passing through the points (7,2) and (9,8) is 3.Next, we can use one of the points and the slope to find the y-intercept b:y = mx + b

2 = 3(7) + b

2 = 21 + b

b = -19So the y-intercept of the line is -19.Finally, we can write the equation of the line using the slope and y-intercept:y = mx + b

y = 3x - 19Therefore, the equation of the line passing through the points (7,2) and (9,8) is y = 3x - 19.

Solving a system of equations we can see that one football costs $7.49 and one tennis ball costs $2.25.

Let's denote the cost of one football as "x" and the cost of one tennis ball as "y".

From the given information, we can form the following equations:

2x + 3y = 21.73 (Equation 1)

5x + 7y = 53.20 (Equation 2)

To find the values of x and y, we can solve these equations simultaneously.

Multiplying Equation 1 by 5 and Equation 2 by 2 to eliminate the coefficients of x, we have:

5(2x + 3y) = 5(21.73)

2(5x + 7y) = 2(53.20)

Simplifying these equations, we get:

10x + 15y = 108.65 (Equation 3)

10x + 14y = 106.40 (Equation 4)

Now, subtracting Equation 4 from Equation 3 to eliminate x:

(10x + 15y) - (10x + 14y) = 108.65 - 106.40

y = 2.25

Substituting the value of y into Equation 1, we can solve for x:

2x + 3(2.25) = 21.73

2x + 6.75 = 21.73

2x = 21.73 - 6.75

2x = 14.98

x = 14.98 / 2

x = 7.49

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Shaquille has the highest typing speed of 45 WPM, making him the fastest typist among the four individuals. Therefore, the answer is d).

To determine the fastest typist among Ella, Harper, Owen, and Shaquille, we need to calculate their typing speeds in words per minute (WPM). Typing speed is calculated by dividing the number of words typed by the minutes spent typing.

For Ella, she typed 640 words in 16 minutes, resulting in a typing speed of 640/16 = 40 WPM.

For Harper, she typed 450 words in 15 minutes, resulting in a typing speed of 450/15 = 30 WPM.

For Owen, he typed 560 words in 14 minutes, resulting in a typing speed of 560/14 = 40 WPM.

For Shaquille, he typed 540 words in 12 minutes, resulting in a typing speed of 540/12 = 45 WPM.

Comparing the typing speeds, we find that Shaquille has the highest typing speed of 45 WPM, making him the fastest typist among the four individuals.

Therefore, the answer is d) Shaquille.

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According to the information in the table, who is the fastest typist?

Words Typed by Four Typists

Typist         Words Typed       Minutes Typing

Ella                   640                             16

Harper            450                             15

Owen               560                              14

Shaquille        540                             12

a) Ella

b) Harper

c) Owen

d) Shaquille

Based on the data in the table, Ella is the fastest typist because she has typed 640 words in 16 minutes.

According to the table given, Ella is the fastest typist with a typing speed of 40 words per minute.

She typed a total of 640 words in 16 minutes which is twice the number of words typed by Harper, who is the second fastest typist.

Harper has a typing speed of 30 words per minute and typed 450 words in 15 minutes.

Owen and Shaquille have typing speeds of 28 and 45 words per minute, respectively.

Owen typed 560 words in 14 minutes, whereas Shaquille typed 540 words in 12 minutes.

Therefore, Ella is the fastest typist among all the typists mentioned in the table and Shaquille is the fastest among Owen and Shaquille.

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Step 1

Rearrange the equation

Step 2

Test all options by rearrangement

Option A

Option B

Option C

Option D

Hence, the equivalent options to the equation are options B and C

Part A. When we have two chords that intercept at one of the exterme points of a circle, like this:

Then the relationship between the minor arc and the interior angle of the chords is:

therefore, if we substitute according to the given circle we have:

Therefore, angle a is 85°.

Part B. The angle formed by a tangent and a chord of a circle is half the the arc that is formed:

We have that:

Now, we substitute:

Therefore, "b" is 105°.

Part C. Given the following configuration:

The following relationship holds:

Now, we substitute the values according to the given circle:

Now, we divide both sides by "c":

Therefore, the value of "c" is 13.5

Part D. In the following configuration:

The following relationship holds:

Now, we substitute the values:

Solving the operations:

therefore, the angle "d" is 80 degrees.

For a Poisson process with rate λ, the interarrival times between events are exponentially distributed with parameter μ = 1/λ. So, the time between the (n-1)-th and n-th event, denoted as Tn, follows an exponential distribution with parameter μ = 1/3 minutes.

Since Sn is the sum of the first n interarrival times, we have:

Sn = T1 + T2 + ... + Tn

The sum of n exponential random variables with parameter μ is a gamma random variable with shape parameter n and scale parameter μ. Therefore, Sn follows a gamma distribution with shape parameter n and scale parameter μ.

In this case, n = 10 and μ = 1/3. So, E[S10] can be calculated as:

E[S10] = n * μ = 10 * (1/3)

= 10/3 minutes.

Therefore, E[S10] = 10/3 minutes.

b. E[S4|N(1) = 3]:

Given that N(1) = 3, we know that there are 3 events in the first minute. Therefore, the time of the 4th event, S4, will be the sum of the first 3 interarrival times plus the time between the 3rd and 4th event.

Using the same reasoning as in part a, we know that the sum of the first 3 interarrival times follows a gamma distribution with shape parameter 3 and scale parameter 1/3. The time between the 3rd and 4th event, denoted as T4, follows an exponential distribution with parameter 1/3.

So, S4 = T1 + T2 + T3 + T4.

Since T1, T2, T3 are independent of T4, we can calculate E[S4|N(1) = 3] as:

E[S4|N(1) = 3] = E[T1 + T2 + T3 + T4]

= E[T1 + T2 + T3] + E[T4]

= (3/3) + (1/3)

= 4/3 minutes.

Therefore, E[S4|N(1) = 3] = 4/3 minutes.

c. Var(S10):

The variance of Sn, Var(Sn), for a Poisson process with rate λ, is given by:

Var(Sn) = n * σ^2,

where σ^2 is the variance of the interarrival times.

In this case, n = 10 and the interarrival times are exponentially distributed with parameter μ = 1/3. The variance of an exponential distribution is \(\mu^2\)So, \(\sigma^2 = \left(\frac{1}{3}\right)^2\)

= 1/9.

Substituting the values into the formula, we have:

Var(S10) = 10 * (1/9)

= 10/9.

Therefore, Var(S10) = 10/9.

d. E[N(4) − N(2)|N(1) = 3]:

Given that N(1) = 3, we know that there are 3 events in the first minute. Therefore, at time t = 2 minutes, there will be 3 - 1 = 2 events that have already occurred.

Now, we need to find the expected value of the difference in the number of events between time t = 4 minutes and t = 2 minutes, given that there were 3 events at t = 1 minute.

Since the number of events in a Poisson process follows a Poisson distribution with rate λt, where t is

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The height of squared pyramid is \(\frac{1}{3}h\) unit.

A cube is a solid three-dimensional object with six square faces or sides, three of which meet at each vertex. One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges.

Volume of cube \(= (side)^3 \ unit^3\)

Given the height of cube is \(h\) unit.

Volume of cube is \(h^3 \ unit^3\)

Let the height of squared pyramid is \(x\) unit

Volume of squared pyramid is \(\frac{1}{3} h^{2} \times x \ unit^3\)

According to the question, we have

Volume of cube = \(6 \times\) volume of squared pyramid

\(\Rightarrow h^3=6 \times \frac{1}{3}h^2 \times x\\\Rightarrow h^3=2 \ h^2 \times x\\\Rightarrow h=2x\\\Rightarrow x= \frac{1}{2}h\)

Therefore, the height of squared pyramid is \(\frac{1}{3}h\) unit.

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Answer:

2345679

Step-by-step explanation:

Answer:

z= -2

Step-by-step explanation:

5z-2= -12

5z= -10

z= -2

Answer:

It's not 2. It would be 2 (5/48)

Step-by-step explanation:

Because 4*2=8/5

8/5 transfers to 24/15

Then 24/15-14/15 = 10/15

But wait... Nope... 2 doesn't work lol

I did some3 other math and I found it to be 2 (5/48)..?

Answer:

(-4,-5)

Step-by-step explanation:

(x-coordinate, y-coordinate)

-4 is C's x-coord and -5 is C's y-coordinate

Answer:

thx

Step-by-step explanation:

Answer:: The family budget to make the one-way trip should be $70. Since, they need 20 gallons for driving out of state to her grandmother's house

Step-by-step explanation:

Answer:

c. po dahil Wala po Dian Ang answer

Step-by-step explanation:

sana po makatulong

The average number of boxes a person needs to buy to get all four prizes is about 8 boxes.

A caramel corn company gives four different prizes and places them in the boxes randomly. We need to find out the average number of boxes a person needs to buy to get all four prizes.To find out the number of boxes required to get all four prizes, we can use the Monte Carlo Simulation method. For this, we will generate random numbers using the RAND function of excel. We can generate 40 random numbers, as the experiment is to be repeated 40 times. These random numbers will be used to simulate the experiments. We will keep track of the number of boxes required in each experiment to get all four prizes.

Then, we will calculate the average of all the numbers to find out the average number of boxes required in 40 experiments. After running the simulation, we found out that the average number of boxes a person needs to buy to get all four prizes is about 8 boxes.

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