Sarina throws a ball up into the air, and it falls on the ground nearby. The ball's height, in feet, is modeled by the function ƒ(x) = –x2 – x + 3, where x represents time in seconds. What's the height of the ball when Sarina throws it?Question 12 options:A) 1 footB) 3 feetC) 4 feetD) 2 feet

Answer:

[ 20_(7)•2]

[ 20_7•2]

[ 20_14]

[ 6]

Answer:

\(6\)

Step-by-step explanation:

Order of Operations: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. (P.E.M.D.A.S) \(please\) \(excuse\) \(my\) \(dear\) \(aunt\) \(sally\).

Begin with solving the parentheses

[20 - (3+4) × 2] ⇒ [20 - 7 × 2]

Next multiplication is the next highest operation

[20 - 7 × 2] ⇒ [20 - 14]

Next and last on the list subtraction

[20 - 14] ⇒ [6]

Answer:

a. Mean: 9.5.

Standard deviation: 2.18.

b. The critical value for signficantly low girl births is 5.14.

The critical value for signficantly high girl births is 13.86.

Step-by-step explanation:

a) If we take a sample of 19 births, all with individual probability of 0.5, we have a random binomial variable with n=19 and p=0.5.

This random variable will have mean and standard deviation calculated as:

\(\mu=n\cdot p=19\cdot0.5=9.5\\\\\sigma=\sqrt{np(1-p)}=\sqrt{19\cdot0.5\cdpot0.5}=\sqrt{4.75}=2.18\)

b) Range rule of thumb: The standard deviation is approximately a quarter of the range, difference between the maximum and minimum value.

The range rule of thumb tells us that the expected minimum and maximum value are 2 standards deviation below or above, respectively, from the mean.

Then, the extreme expected values are:

\(Min=\mu-2\sigma=9.5-2\cdot2.18=9.5-4.36=5.14\\\\Max=\mu+2\sigma=9.5+2\cdot2.18=9.5+4.36=13.86\)

The critical value for signficantly low girl births is 5.14.

The critical value for signficantly high girl births is 13.86.

The likelihood of having a girl child is its probability

The given parameters are:

\(\mathbf{n = 19}\) --- sample size

\(\mathbf{p = 0.5}\) --- the probability of a girl child

(a) Mean and standard deviation

The mean is calculated as:

\(\mathbf{Mean = np}\)

So, we have:

\(\mathbf{\bar x= 19 \times 0.5}\)

\(\mathbf{\bar x = 9.5}\)

The standard deviation is:

\(\mathbf{SD = \sqrt{np(1 - p)}}\)

So, we have:

\(\mathbf{\sigma= \sqrt{19 \times 0.5 \times (1 - 0.5)}}\)

\(\mathbf{\sigma= \sqrt{4.75}}\)

\(\mathbf{\sigma= 2.18}\)

Hence, the mean and the standard deviation are 9.5 and 2.18, respectively.

(b) The values separating the significantly low and high results

Using the range rule of thumb, we have:

\(\mathbf{Low = \bar x - 2\sigma}\)

\(\mathbf{High = \bar x + 2\sigma}\)

So, we have:

\(\mathbf{Low= 9.5 - 2 \times 2.18 = 5.14}\)

\(\mathbf{High= 9.5 + 2 \times 2.18 = 13.86}\)

Hence, the values separating the significantly low and high results are 5.14 and 13.86, respectively.

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Answer:

19 million

Step-by-step explanation:

Answer & Step-by-step explanation: 4.58

PEMDAS:

Parenthesis first! (8 + 7 + 3.3) = 18.3

Exponents second! \(1/2^{2}\) = 1/4 = 0.25

Multiply third and solve! 18.3 x 0.25 = 4.575

Round if needed! 4.575 = 4.58 = 4.6 = 5

Answer:

BUDDY YOU OUT OF LUCK

Step-by-step explanation:

Answer:

3¼

Step-by-step explanation:

\(formula \frac{{y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } \)

We take any of the two points shown in the question. I will take (-3, 1) and (1, 14).

x¹ = -3

y¹ = 1

x² = 1

y² = 14

Now, we sub these figures into the formula.

\( \frac{14 - 1}{1 - ( - 3)} \)

This leaves us with 14-1/1+3, which we can make into 13/4

13/4 = 3¼

Disclaimer: It is not actually x (or y) in the power of two, but a way to distinguish one x (or y) from the other. It is a label of sorts.

Answer:

The answer is 3 1/4

The Main Street is 1/12 of a mile longer than the Oak Street

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

Using the above as a guide, we have the following:

Difference = Main Street - Oak Street

substitute the known values in the above equation, so, we have the following representation

Difference = 1/3 - 1/4

Evaluate the difference

Difference = 1/12

Hence, the difference is 1/12 of a mile

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Answer:

2 hours

Step-by-step explanation:

Answer: the journey will take you 2 hours.

Step-by-step explanation:

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The maximum area is 12.25 square feet

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

Perimeter = 14 feet

This means that

P = 2(l + w)

So, we have

2(l + w) = 14

Divide by 2

l + w = 7

Make l the subject

l = 7 - w

The area is calculated as

A = lw

So, we have

A = (7 - w)w

Expand

A = 7w - w²

Differentiate and set to 0

7 - 2w = 0

So, we have

w = 3.5

Substitute w = 3.5 in A = (7 - w)w

A = (7 - 3.5) * 3.5

Evaluate

A = 12.25

Hence, the area is 12.25 square feet

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Complete question

There is 14 feet of fencing available to enclose a rectangular region. For what value of area is the area maximum

The prime factοrizatiοn οf 250 is 2, 5, 5, and 5. Thus, οptiοn B is cοrrect.

Factοring a number invοlves breaking it dοwn intο smaller numbers than can be multiplied tοgether tο get the οriginal number. We can factοr any number dοwn tο a series οf prime numbers tο create a cοmplete set οf numbers that have nο smaller factοrs. The οnly exceptiοns are prime numbers which are already in their smallest factοr fοrm.

The prime factοrizatiοn οf 250 is 2, 5, 5, and 5.

Technically, we can begin the factοrizatiοn prοcess by finding any factοr οf a number, prime οr cοmpοsite. After that, we can begin factοring thοse factοrs. Hοwever, fοr the sake οf clarity and easy explanatiοn, we we begin with the lοwest prime numbers and wοrk οur way tο higher prime numbers. As 250 is even, we can extract a prime factοr οf 2.

250 = 2 × 125

This leaves us with the οdd number οf 125 tο still factοr. If a number ends in 5 οr 0, it will always have a factοr οf 5. In this case, we can repeat this prοcess because dividing 125 by 5 prοduces anοther number ending in 5.

250 = 2 × 5 × 25

250 = 2 × 5 × 5 × 5

Once the final number in the series is a prime number, we have the cοmplete prime factοrizatiοn set.

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Complete question:

Which οf the fοllοwing shοws the cοrrect prime factοrizatiοn fοr 250?

A. 2 × 2 × 5 × 5

B. 2 × 5 × 5 × 5

C. 2 × 5 × 5 × 7

D. 2 × 3 × 5 × 5

The x-intercepts are (4,0)(5,0) of the following graph.

In the context of a graph, an x-intercept is a point where a curve or line crosses the x-axis. It is the point at which the value of y is zero. In other words, the x-intercept is the value of x when the function or equation crosses the x-axis.

To find the x-intercepts of a function, you can set y equal to zero and solve for x. The resulting values of x will be the x-intercepts.

In the context of a graph, a y-intercept is a point where a curve or line crosses the y-axis. It is the point at which the value of x is zero. In other words, the y-intercept is the value of y when the function or equation crosses the y-axis.

To find the y-intercept of a function, you can set x equal to zero and solve for y. The resulting value of y will be the y-intercept.

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Complete Question

Calculating conditional probability

The usher at a wedding asked each of the 80 guests whether they were a friend of the bride or of the groom.

Here are the results:

Bride :29

Groom :30

BOTH : 20

Given that a randomly selected guest is a friend of the groom, find the probability they are a friend of the bride.

P (bride | groom)​

Answer:

The probability is \(P(B|G) = \frac{2}{3}\)

Step-by-step explanation:

The sample size is \(n = 80\)

The friend of the groom are \(G = 30\)

 The friend of the groom are \(B = 29\)

 The friend of both bride and groom are \(Z = 20\)

The probability that a guest is a friend of the bride is mathematically represented as

      \(P(B) = \frac{29}{80}\)

The probability that a guest is a friend of the groom is mathematically represented as

       \(P(G) = \frac{30}{80}\)

The probability that a guest is both a friend of the bride and a friend of the groom is mathematically represented as

       \(P(B \ n \ G) = \frac{20}{80}\)

Now

    \(P(B|G)\) is mathematically represented as

     \(P(B|G) = \frac{P(B \ n \ G)}{P(G)}\)

     Substituting values

       \(P(B|G) = \frac{\frac{20}{80} }{\frac{30}{80} }\)

      \(P(B|G) = \frac{2}{3}\)

Answer:

the answer is 3/5

Step-by-step explanation:

on Khan

The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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Answer:

(-7, -4)  which is your answer D in the list of options

Step-by-step explanation:

The center of the circle should be located half way in between the given points on the plane.

Then the center ahs to be located half way for the x coordinates of both points:

half way between -12 and -2 (notice that there is a difference of 10 units between them), therefore half way would be at 5 units to the right from the furthest point, that is  -12 + 5 = -7

Similarly, for the y coordinate, we see that the difference is between -5 and -3 (a difference of two units) therefore the center point will be located half way  (that is one unit) up from the lowest y coordinate: -5 + 1 = -4

Then the center of the circle is located at (-7, -4)

Answer:

Step-by-step explanation:

There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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9514 1404 393

Answer:

  P(E') = 12/13

Step-by-step explanation:

If E is the event "a 10 is drawn", then its probability is 4/52 = 1/13, because there are 4 cards in the deck that are 10s. The probability of E' is the complement of this:

  P(E') = 1 -P(E) = 1 -1/13

  P(E') = 12/13

\(\sf \Large \boxed{\displaystyle \sf \frac{12}{13} } \\\\\\ 10 \ of \ spades \ or\ 10 \ of \ clubs \ or\ 10 \ of \ diamonds \ or\ 10 \ of \ hearts \\\\4 \ cards \ from \ the \ 52 \ are \ tens\\\\48 \ are \ not \ tens\\\\\displaystyle \frac{48}{52} =\frac{12}{13}\)

So, after Evan's lunch, there was 7/8 quantity of pizza left.

Here we can write,

The simple fraction of \(1\frac{1}{8}\) = 9/8

So, if there were 9/8 pizzas left at the end of the party and Evan ate 2/8 of a pizza for lunch,

we can start by subtracting the amount that Evan ate from the total amount that was left,

⇒ 9/8 - 2/8

To subtract fractions with like denominators,

We can simply subtract the numerators and keep the same denominator,

⇒ 9/8 - 2/8 = 7/8

So, after Evan's lunch, there were 7/8 of a pizza left.

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Answer:

y= 2x +7

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 2, m=2.

y= 2x +c

Given that the y-intercept is -7, c = -7.

y= 2x +7

Answer:

-11h+13

explanation

-2h+1-9h+12

-11h+13

The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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a. System of equations: 500+0.04x = monthly income with option A

                                       : 400+0.05x = monthly income with option B.

b. $10,000 worth of athletic shoes.

c. It depends on the level of sales and other factors.

What is system of equations?

In mathematics, a system generally refers to a collection of equations or inequalities that are meant to be solved simultaneously. The solutions of the system are the values of the variables that satisfy all of the equations or inequalities in the system. A system can have a single solution, no solution, or an infinite number of solutions

a. Let x be the total sales in dollars. Then we can write the following system of equations to represent the situation:

System of equations can be written as:

Monthly income with option A: 500 + 0.04x

Monthly income with option B: 400 + 0.05x

b. To find the total price of the athletic shoes Kenisha needs to sell to earn the same income from each pay scale, we can set the two expressions for monthly income equal to each other and solve for x:

500 + 0.04x = 400 + 0.05x

0.01x = 100

x = 10,000

Therefore, Kenisha needs to sell a total of $10,000 worth of athletic shoes to earn the same income from each pay scale.

c. To determine which offer is better, we can compare the monthly incomes for different levels of sales. For example, if Kenisha sells $15,000 worth of athletic shoes in a month, we can calculate her monthly income for each option:

Monthly income with option A: 500 + 0.04(15,000) = 1,100

Monthly income with option B: 400 + 0.05(15,000) = 1,150

In this case, option B offers a higher monthly income. However, the better offer may depend on other factors, such as the amount of effort required to make the sales or the stability of the monthly income.

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Some things you can do to help you decide on a bank include:

When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.

To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.

Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.

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6 kiloliters are approximately equal to 202,884.14 fluid ounces.

We have,

To convert 6 kiloliters (kL) to fluid ounces (fl oz), we need to use the conversion factor between these two units.

The conversion factor states that 1 kiloliter is equal to 33814.0227 fluid ounces.

This means that for every kiloliter, there are 33814.0227 fluid ounces.

To convert 6 kiloliters to fluid ounces, we multiply the given value (6 kL) by the conversion factor (33814.0227 fl oz/kL).

= 6 kL x 33814.0227 fl oz/kL

= 202884.1362 fl oz

Therefore,

6 kiloliters are approximately equal to 202,884.14 fluid ounces.

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Answer:

132

Step-by-step explanation:

f(1) = 9

f(n) = -4f(n-1) + 4

Let n = 2

f(2) = -4f(2-1) + 4 = -4 f(1) +4 = -4(9) +4 = -36+4 = -32

Let n = 3

f(3) = -4f(2-1) + 4 =-4f(2)+4 =  -4 (-32) +4 = 128+4=132