John was gifted a pack of crayons. He gave 13 crayons to his friend Rhea
and was left with 11 crayons. How many crayons did the pack contain?

Answer:

225

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

Answer:

B) 57°

Step-by-step explanation:

114÷2=57

The time taken for the trip will be 12.7 hours.

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

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The Option B statement "the opposite angles are equal" accurately describes a rhombus, as each of the four angles of a rhombus are equal to each other. This means that the opposite sides of the rhombus have the same measure.

A rhombus is a four-sided shape with all sides equal in length. It is also known as a diamond shape. The most important thing to remember about a rhombus is that the opposite angles are equal.

This means that the two angles across from each other on the rhombus have the same measure. This is what is meant by the statement "the opposite angles are equal," and it accurately describes a rhombus.

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Answer:

below

Step-by-step explanation:

Need the diagram......

The density of the wood weighing 19.5061 grams is approximately 19.313 g/cm².

Density is expressed mathematically as;

p = m / v

Where m is mass and v is volume.

Given the data in the question

First, we determine the volume of the wood which is the change in the volume of volume in the cylinder.

Volume of the wood = Final volume of water - Initial volume water

Volume of the wood = 9.76cm³ - 8.75cm³

Volume of the wood = 1.01 cm³

Now, we determine the density of the wood.

p = m / v

p = 19.5061g / 1.01 cm³

p = 19.313 g/cm²

Therefore, the density of the wood is 19.313 g/cm².

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The first equation that represents 42 - p -p= 21 is correct.

An equation is a mathematical statement that express the equality between two or more number of expressions. An equal sign is mandatory for equation. An equation is used to determine unknown values in terms of variables. In our everyday life equation is used by many professionals necessarily. By using equation many complicated problems can be easily solved within a limited time.

Isaac has $42 cash in hand when arrived Saturday market.

He buys two posters that each cost selling price or SP.

when he leaved the market had $21 cash in hand.

assume, each poster has a price = p

The situation is represented by the following.

initial amount - cost for two posters = final amount

42 - p - p = 21

hence, the first equation that given in the question is correct.

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Using a standard normal distribution table, the value of z₀ is -0.64

To find z₀, we need to use the standard normal distribution table or calculator. We know that the area under the standard normal curve between z₀ and 2.2 is 0.7258.

Using a standard normal distribution table or calculator, we can find the z-score corresponding to 0.7258.

From the table, we can find that the closest value to 0.7258 is 0.7257, and the corresponding z-score is approximately 0.61.

Therefore, we have:

P(z₀ < z < 2.2) = 0.7258

P(z < 2.2) - P(z < z₀) = 0.7258

Using the z-score table again, we can find that P(z < 2.2) is approximately 0.9861.

So we have:

0.9861 - P(z < z₀) = 0.7258

P(z < z₀) = 0.2603

Using the z-score table again, we can find that the z-score corresponding to 0.2603 is approximately -0.64.

Therefore, we have:

z₀ = -0.64

Rounding to at least four decimal places, we get:

z₀ = -0.6400

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Answer:30

Step-by-step explanation: LxW (length x Width) 3x10=30.... Hope this helps... if you break it down then you can write down (10) on your page but the answer is 30

a) The parametric equations of the line are: x(t) = −2 + 3t, y(t) = 4 − 2t, z(t) = 3 + 4t and The symmetric equation of the line are: (x + 2)/3 = (y − 4)/−2 = (z − 3)/4

b) The line intersects yz-plane at (0, 8/3, 17/3)

The given points on the line are:

(x₁, y₁, z₁) = (−2, 4, 3)

(x₂, y₂, z₂) = (1, 2, 7)

The direction ratios of this line are:

⟨a, b, c⟩ = ⟨x₂ − x₁, y₂ − y₁, z₂ − z₁⟩

             = ⟨1 + 2, 2 − 4, 7 − 3⟩

             = ⟨3, −2, 4⟩

a) Parametric equations of the line:

These are given by:

x(t) = x₁ + at = −2 + 3t

y(t) = y₁ + bt = 4 − 2t

z(t) = z₁ + ct = 3 + 4t

Symmetric equation of the line:

This is given by:

              (x − x₁)/a = (y − y₁)/b = (z − z₁)/c

              (x + 2)/3 = (y − 4)/−2 = (z − 3)/4

b) When a line intersects the yz-plane, its x-coordinate is zero.

Using the parametric equations of the part (a):

                                   x = 0

                          −2 + 3t = 0

                                  3t = 2

                                    t = 2/3

Substitute this in the parametric equations corresponding to y and z as well:

                                   y = 4 −2t

                                      = 4 − 2(2/3)

                                      = 8/3

                                   z = 3 + 4t

                                      = 3 + 4(2/3)

                                      = 17/3

Hence, the required point is: (x, y, z) = (0, 8/3, 17/3)

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Answer:

3/10 = x or 0.3 = x

Step-by-step explanation:

2.1 /  x + 1 4/5 = 3 / 10x

1. first cross multiply and solve it normally:

3 (x + 1 4/5) = (2.1) 10x

3x + 5 2/5 = 21x

-3x               -3x

5 2/5 = 18x

3/10 = x or 0.3 = x

these questions are kind annoying to solve because of the fractions, so if you can, use a calculator to solve them! its much easier!

hope this helps!

Answer:

x = 3/10 = 0.3

Step-by-step explanation:

{(2.1)/(x+1 4/5)} = 3/10x

x + 1 4/5 = x + 5/5 + 4/5 = x + 9/5

then:

(2.1)/(x+9/5) = 3/10x

10x*2.1 = 3(x+9/5)

21x = 3x+ 27/5

21x - 3x = 27/5

18x = 27/5

90x/5 = 27/5

90x = 27

x = 27/90

x = 3/10 = 0.3

Answer:

38 cm

Step-by-step explanation:

The perimeter of a rectangle is given by

P =2(l+w)

P =2( 2x+1  + x)

Combine like terms

P = 2(3x+1)

Distribute

P = 6x+2

Let x=6

P = 6*6+2

   = 36+2

   = 38 centimeters

The perimeter of a rectangle is given by

P =2(l+w)

P =2( 2x+1  + x)

Combine like terms

P = 2(3x+1)

Distribute

P = 6x+2

Let x=6

P = 6*6+2

   = 36+2

   = 38 centimeters

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The value of the missing data point is 10. Option C

The data set has 8 data points, and the median is given as 12. The median is the middle value when the data points are arranged in ascending or descending order.

Let's arrange the data set in ascending order:

6, 8, ?, 8, 14, 15, 16, 18

Since the median is 12, it should be the fourth data point when arranged in ascending order. Therefore, the missing data point must be the fourth value in the sorted data set.

From the given options, the only whole number that could fit as the fourth value in the data set is 10.

Thus, the value of the missing data point is C. 10.

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Answer:

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

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

Answer:

dividing is splitting a number by another number.

Step-by-step explanation:

4 divided by 2 = 2

because half of 4 is 2

12 divided by 6 =2

because there are 6 groups of 2

14 divided by 2=7

because there are 2 groups of 7

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The number of coupon codes that can be generated is given as follows:

247,808 coupon codes.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The codes are composed as follows:

Thus the total number of codes is obtained as follows:

N = 22² x 8³

N = 247,808 coupon codes.

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Answer:

$24,992

Step-by-step explanation:

The equation for simple interest is I = PRT where I is the interest earned, P is the principal deposited/borrowed, R is the rate as a decimal, and T is time in years.

I = (17,600)(0.084)(5)

I = 7,392

The total amount that must be repaid is the interest + the principal:

7,392 + 17,600 = 24,992

Please let me know if you have questions

Answer: $5.04

Step-by-step explanation:

1.) Start by subtracting 2002 from 2018. (2018-2002=16)

2.) plug into the equation ( y= 0.24(16)+1.20)

3.) plug into calculator and you should get 5.04

Answer:

5.04

Step-by-step explanation:

5.04

The features of the given polynomial graph are;

A) Domain: (-∞, ∞)

Range: (-∞, 16)

B) The x-intercepts are; (-2√2, 0), (0, 0), (2√2, 0)

C) The y-intercept is; (0, 0)

D) The interval(s) for which the function is increasing is; (-∞, -2) and (0, 2)

E) The interval(s) for which the function is decreasing. is; (-2, 0) and (2, ∞)

F) The graph has no constant interval.

G) It is symmetrical about the y-axis

H) Even function

The domain of a function is defined as the set of all possible input values for which the function holds. The range of a function is defined as the set of all possible output values for all possible input values.

A) The x-values intervals we reckon will be positive and negative infinity as the graph extends till infinity. However, the maximum value of the y-values will be 16 while the minimum is negative infinity.

B) The x-intercepts are the points where the graph crosses the x-axis and they are; (-2√2, 0), (0, 0), (2√2, 0)

C) The y-intercepts are the points where the graph crosses the y-axis and it has the coordinate; (0, 0)

D) Looking at the given graph, it is increasing when the curve rises  and in this case it is; (-∞, -2) and (0, 2)

E)  Looking at the given graph, it is decreasing when the curve descends and in this case it is; (-2, 0) and (2, ∞)

F) The graph has no constant interval.

G) It is symmetrical about the y-axis

H) The function is an even function

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Answer:

A. 7.88*10^(-16)

B. 1.0000000 (almost certainty)

Step-by-step explanation:

United Airlines flight 1832 from chicago to orlando is on time 80% of the time, according to united states airlines. Suppose 65 flights are randomly selected.

Binomial distribution will be required for the discrete case where there can be only two outcomes for each trial, success or failure, and where the number of experiments is known, and the probability of success is known and remains constant.

P(x) = n* (C(n,x)*p^x*(1-p)^(n-x)

where

n = size of experiment in number of trials

p = probability of success of one individual trial

x = number of successes

C(n,x) = number of combinations when x objects are taken out of n

         = n!/(x!*(n-x)!)

P(x) = probability of success out of n experiments.

A) find the probability that exactly 22 flights are on time.

n = 65

x = 22

p = 0.80

P(22) = C(65,22) (0.80^22 * 0.20^(65-22))

= 65!/(22!(65-22)!) * (0.80^22 * 0.20^(65-22))

= 7.88*10^(-16)

B) Find the probability that at least 2 flights are on time.

We find the probabilities of 0 and 1 flight on time, and subtract from 1 to get probability of at least 2 on time.

P(0) = C(65,0)*0.8^0*0.2^65 = 3.689*10^(-46)

P(1) = C(65,1)*0.8^1*0.2^64 = 9.59*10^(-44)

Therefore probability of having at least 2 flights on time equals

1-P(0)-P(1) = 1-3.689*10^(-46)-9.59*10^(-44) = 1.0  (almost certainty)

Answer: I think that the answer is 3/4 miles

Step-by-step explanation:

The number of points to be removed from the graph is 2

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

The graph

From the graph, we can see that

2 points have the same y coordinates

Another 2 points have the same y coordinates

For it to be a function, one of the 2 points must be removed each

So, we have the number of points to be removed from the graph is 2

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A unit circle is parametrized by the functions sine and cosine, that is, in a unit cricle

In our case we want to know the value of the point if t=-5pi. Then

Now, since the sine function is odd and the cosine function is even we have:

Therefore the terminal point is (-1,0).

The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6  < √7 <  π  < 2√6

(a)

π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)

√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)

2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)

√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)

(b)

Order from least to greatest:

√6  < √7 <  π  < 2√6

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Answer:

490000

Step-by-step explanation:

Substituting \(x=40\),

\(I=-425(40)^2 + 45500(40) - 650000=490000\)

The used values are;

p = $10,000

r = 3.3%

n = 9 years

And, The amount after 9 years will be $14,593.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

A bank features a savings account that has an annual percentage rate of r = 3.3% with interest compounded quarterly.

And, Maia deposits $10,000 into the account.

Now,

Since, The interest rate is for compounded quarterly.

So, The used formula is,

⇒ \(A = P (1 + \frac{r}{4} )^n^t\)

Here, P = $10,000

r = 3.3% = 0.033

n = 4

t = 9

Substitute all the values, we get the amount after 9 years,

⇒ \(A = P (1 + \frac{r}{4} )^n^t\)

⇒ A = $10,000 (1 + 0.033/4)³⁶

⇒ A = $10,000 (1 + 0.008)³⁶

⇒ A= 10,000 × (1.008)³⁶

⇒ A = 10,000 x 1.45

⇒ A = $14,593

Thus, The amount after 9 years will be $14,593.

Therefore, The used values are;

p = $10,000

r = 3.3%

n = 9 years

And, The amount after 9 years will be $14,593.

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The probability of selecting a matching donut on the second try is 7/23.There is a 10.14% chance of selecting two ​-filled donuts in a row from Elizabeth's box of two dozen donuts.

To find the probability of selecting two ​-filled donuts in a row, we first need to determine the total number of donut combinations.

Since there are three different fillings, there are three possible outcomes for the first donut and three possible outcomes for the second donut. Therefore, the total number of combinations is 3 x 3 = 9.

Next, we need to determine the number of combinations where both donuts are filled. There are 24 donuts in the box, and eight of them are jelly-filled, eight are lemon-filled, and eight are custard-filled.

So, the probability of selecting a filled donut on the first try is 8/24, or 1/3. Once the first donut is eaten, there are only 23 donuts left, and seven of them are filled with the same type of filling as the first donut.

To find the probability of selecting two ​-filled donuts in a row, we multiply the probabilities of each event. So, the probability of selecting two matching ​-filled donuts in a row is (1/3) x (7/23) = 7/69, or approximately 0.1014.

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