1. Which option below is not a correct way of naming the angle

1) 2) <2
3) 4)

Answer:

\(4860\) cubic units

Step-by-step explanation:

First, we use the formula of the triangle prism to solve the question

\(v=\frac{1}{2}b*h*l\)  

\(v=\frac{1}{2} 18*12*45\)

\(v=4860 cm^{3}\)

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

Answer:

15

Step-by-step explanation:

We can start by trying to figure out the divisors for each number. A divisor is a whole number that we can multiply by another whole number to equal our target number.

For example, 2's divisors would be 2 and 1, because we can multiply 2 and 1 together to get 2.

30's divisors would be: 1, 30, 2, 15, 3, 10 4, 5, 6

45's divisors would be: 1, 45, 3, 15, 5, 9

75's divisors would be: 1, 75, 3, 25, 5, 15

We should start with 30's divisors because we're searching for a greatest common divisor, so we have to make sure that divisor still fits into the smallest number. Additionally, we should go from biggest to smallest because by eliminating the highest possibilities first, we can ensure that our answer will be the biggest possible one without having to check every single one.

30's biggest divisor is 30, but neither 45 nor 75 have it. 30's next biggest divisor is 15, and that is a common divisor between 45 and 75. Since we worked from the biggest to the smallest, we also know that it is the highest possible common divisor.

That means the G.C.D. of 30, 45, and 75 is 15.

Answer:

v = 7

Step-by-step explanation:

42 = v + 35

-35        -35

7 = v

The answer is D. 7

I took the quiz and got it right

EXPLANATION

As the distance between the earth and the moon is 386400 x 10³ m, we have that the time taken to reach the moon would be equivalent to the distance of moon from earth / speed of ship = 386400 x 10³ / 11184.7258 = 34.5471 x 10³ s

Now, we need to represent this value in hour units by applying the unitary method:

In conclusion, It will take 9.596 hours to reach the moon.

Answer:

Nonexistent

Step-by-step explanation:

The constant of proportionality k is given by k=y/x

We have three examples:

1. x=-3, y=1 (k=-1/3)

2. x=-1, y=3 (k=-3/1)

3. x=3, y=-1 (k=-1/3)

Because the constants are inconsistent, the answer is the last option, Nonexistent.

1. The function f that determines the height of the beanstalk is \(h(t) = 7 * (1.15)^t\)

2. f(1)/f(0) = 1.15.

3. f(2)/f(1) = 1.149.

Let h be the height of the beanstalk in inches after t days. Then we can write: \(h(t) = 7 * (1.15)^t\) where 1.15 is the factor by which the height increases each day.

i. To compute f(1)/f(0), we need to substitute t = 1 and t = 0 into the function f and divide:

f(1)/f(0) = [7 * (1.15)^1] / [7 * (1.15)^0]

f(1)/f(0) = 1.15/1

f(1)/f(0) = 1.15

ii. To compute f(2)/f(1), we need to substitute t = 2 and t = 1 into the function f and divide:

f(2)/f(1) = [7 * (1.15)^2] / [7 * (1.15)^1]

f(2)/f(1)= (1.3225) / (1.15)

f(2)/f(1) = 1.149

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Answer:

80

Step-by-step explanation:

10+4+2+4=20 and 20×4 numbers=80

Answer:

the answer is twelve by multiplying them all.

Answer:

2 , 40,420

Step-by-step explanation:

10 × 11 × 12 × 13 × 14

1,320 × 182

2,40,240

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Answer:

She will pay $13.20 altogether.

Step-by-step explanation:

1. 40% of 20 is 8.

Write 40% as 40/100.

40/100 of 20 = 40/100 × 20.

2. Sale Price = $12. This means the cost of the dress to Molly is $12. She will pay $12 for a dress with an original price of $20 when discounted 40%.

3. The 10% tax will be $1.20. When a store-issued coupon is redeemed, the sales tax is based on the discounted price (the cost of the item after the coupon is applied). So multiply 12 x 0.10 and you will get 1.20.

4. After tax is added to the sale price, she will pay $13.20.

12.00 + 1.20 = 13.20.

Answer:

            4  to  1

Step-by-step explanation:

                                                Tablespoon of cocoa   to Tablespoon of sugar

                                                                          8             :                2

                                                                          \(\frac{8}{2}\)              :                \(\frac{2}{2}\)

                                                                          4             to                1

When recipe is doubled:                             ( 8 x 2)         to        (2 x 2)

                                                                         16             :              4

                                                                         \(\frac{16}{4}\)             :               \(\frac{4}{4}\)

                                                                          4           to              1

It can be observed that the ratio remains the same

Answer:

formula is y2-y1 ÷ x2-x1

- 4 - 4 = -8

20 - 8 = 12 simplify and we get

\( - \frac{ 2}{3} \)

Answer: \(-\frac{2}{3}\)

Step-by-step explanation:

-4-4=-8

20-8=12    \(\frac{-8}{12}\)

The  volume of rectangular prism is 90 unit³.

We can consider the 1 block = 1 unit.

Length of prism = 5 unit

width of prism = 6 unit

Height of prism = 3 unit

So, Volume of rectangular prism

= l w h

= 5 x 6 x 3

= 90 unit³

Thus, the volume of rectangular prism is 90 unit³.

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Use the definition of absolute value to rewrite each equation or inequality.

\(|x| = \begin{cases} x & \text{if } x\ge0 \\ -x & \text{if }x < 0 \end{cases}\)

1. (E) From the definition it follows that

\(x-4 \ge 0 \implies |x-4| = x-4 = 8 \implies x = 12\)

\(x-4 < 0 \implies |x-4| = -(x-4) = 4-x = 8 \implies x = -4\)

Then the solution set contains exactly 2 elements, and we write it as shown in choice (E), \(x\in\{-4,12\}\).

2. (D) We solve the inequality in essentially the same way as in (1), we just need to keep track of the direction of the inequality.

\(x-4\ge0 \implies|x-4|=x-4\ge8 \implies x\ge12\)

\(x-4<0 \implies|x-4|=4-x\ge8 \implies x\le-4\)

Note the inclusion of \(x=12\) and \(x=-4\). We write this as a union of two half-closed intervals, \(x\in(-\infty,-4]\cup[12,\infty)\).

3. (C) This follows from the same steps as in (2). This time the inequality is strict, so we exclude the endpoints and with open intervals write \(x\in(-\infty,4)\cup(12,\infty)\).

4. (A) Since \(|x|\) always returns a non-negative number, any real number \(x\) satisfies the inequalty \(|x-4|<\infty\). We write the solution set as the entire real line, \(x\in(-\infty,\infty)\).

5. This leaves us with (B) for the last solution set. This inequality is complementary to the one in (3), which means the solution set to \(|x-4|\le8\) is the complement of the set we found in (3). That interval removes everything between and including -4 and 12 from the real line. So the solution in this case is what we omit from the solution to (3), and we write \(x\in[-4,12]\).

Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

Answer:

C

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = \(\frac{EF}{BC}\) = \(\frac{11}{66}\) = \(\frac{1}{6}\)

Answer:

but

Step-by-step explanation:

yrge sksue dnd djd d d. r e g g h a s. v j u r d. d c g y t

Tyler's claim about finishing his painting first is False because it will take Benito 10 minutes while Tyler will require over 11 minutes to finish up his painting despite starting before Benito.

Size of fence = 150 feet

Benito's rate = 15 ft/min

Tyler's rate = 11 ft/ min

Size already painted by Tyler when Benito started = 39/2 = 19.5 ft

Portion of fence left for Tyler to paint when Benito started = (150 - 19.5) = 130.5 feets

Time required for Tyler to finish :

Time required = 130.5 ÷ 11 = 11.863 minutes

Time required for Benito to finish :

Time required = 150 ÷ 15 = 10 minutes

Time required for Benito to complete his painting is lesser than Tyler's (10 < 11.863)

Hence, Tyler's claim is False

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Part 1: the mean number of misprints per page is 0.3668 and Part 2: the probability that it has 3 misprints is 0.0560.

Part 1:

Using TI 84 calculator,

P(X > 39500) = normal cdf ( 39500 , 1000, 37764 , 5100)  

= 0.3668

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen

Part 2:

P ( X > 38700 ) = normal cdf ( 38700 , 1000 , 37764 , 5100/sqrt(75) )

= 0.0560

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If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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Answer:

B. y = –2.9x + 13.5

Step-by-step explanation:

You can try to use the calculator to determine the best line for the values given; you will se that the calculator form, for the linear function is

y = a + bx, where a is the y intercept and b is the slope.

To determine the slope, we apply a formula, to calculate the product of the two xy and, x², plus the sum of each column.

x    y    xy    x²  

1  .  11 = 11 → x² = 1² = 1

2 .  8 = 16 → x² = 2² = 4

3 .  4 = 12 → x² = 3² = 9

4 .  1 = 4 → x² = 4² = 16

5 .  0 = 0 → x² = 5² = 25

Total x = 1 + 2 + 3 + 4 + 5 = 15

Total y = 11 + 8 + 4+ 1 + 0 = 24

Sum of xy = 11 + 16 + 12 + 4 + 0 = 43

Sum of x² =  1 + 4 + 9 + 16 + 25 = 55

n = 5

So b =  5 (43) - (15) . (24) / 5 (55) - 15² = -2.9

a =  y media - b . x media → a = 24/5 - (-2.9) . 15/5 = 13.5

After answering the presented question, we can conclude that probability Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many fields, including statistics, economics, science, and engineering.

Sketch of exponential probability distribution with mean of 12 seconds:

   |                            

   |                            

   |              .            

   |             . .            

   |             . .            

   |             . .            

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . . .        

   |             . . . .        

   |             . . . .        

   |             . . . . .      

   |             . . . . .      

   |_____________. . . . . . .

        0       12             X

The X-axis represents the time between vehicle arrivals, and the Y-axis represents the probability density. The peak of the distribution is at 12 seconds, which is the mean.

b. Probability of the arrival time between vehicles being 12 seconds or less:

Since the mean of the exponential distribution is 12 seconds, we can use the cumulative distribution function (CDF) to find the probability of the arrival time being 12 seconds or less:

\(P(X < = 12) = 1 - e^(-12/12) = 1 - e^(-1) ≈ 0.6321\)

Therefore, the probability of the arrival time between vehicles being 12 seconds or less is approximately 0.6321.

c. Probability of the arrival time between vehicles being 6 seconds or less:

\(P(X < = 6) = 1 - e^(-6/12) = 1 - e^(-0.5) ≈ 0.3935\)

Therefore, the probability of the arrival time between vehicles being 6 seconds or less is approximately 0.3935.

d. Probability of 30 or more seconds between vehicle arrivals:

\(P(X > = 30) = e^(-30/12) ≈ 0.0498\)

Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

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The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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If each value is equally likely and the mean of x is 6, x = 24.

The arithmetic mean (arithmetic average or simply the mean or average) in statistics is the sum of a collection of numbers divided by the count of numbers in the collection, which is is often a set of results from an experiment, a survey, or observational study.

The arithmetic mean A is defined to be the formula: \(A = \frac{1}{n} \sum_{i=1}^{n} a_i=\frac{a_1+ ... +a_n}{n}\).

We're given a set of {0, 1, 2, 3, x} where x is unknown and the mean of x is 6. In order to find the value of x, we can plug all the known values in the formula first and then we're going to simplify the equation:

\(A = \frac{a_1+...+a_n}{n}\\\\6 = \frac{0+1+2+3+x}{5}\\\\6 = \frac{6+x}{5}\\\\30 = 6 + x\\\\30 - 6 = x\\\\x = 30 - 6\\\\x = 24\)

We've confirmed that x is indeed equal to 24.

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Answer:

A, 0.29

Step-by-step explanation:

Since 16 ounces cost 4.69, 1 ounce costs 4.69 divided by 16. This is roughly 0.29, which would then be A.

Answer:

A. $0.29

Step-by-step explanation:

16 ounces = $ 4.69

Dividing both sides by 16

1 ounce = $0.29

Given statement solution is :- The correct answer is: The frequency is 3 more than expected.

To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.

The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The expected frequency can be found by multiplying the probability by the total number of rolls:

Expected frequency = Probability of landing on an even number × Total number of rolls

Expected frequency = 0.5 × 30 = 15

Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.

The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).

Therefore, the correct answer is: The frequency is 3 more than expected.

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Answer:

Step-by-step explanation:

y=0.75x+0.00

y=mx+b

Your slope is 0.75 because y=0.75

Your x is the number of times you multiply 0.75.

And there is no b so b=0 because the line would not go through the y line (vertical line)

So to conclude it would be y=0.75x+0

Sorry it took so long, if you are still confused please ask :)

Answer:

1050!!

Step-by-step explanation:

please mark me brainliest!

The discount of the purchase price results in the buyer making the identical monthly payment under either purchase option, $4064.76.

Financing is the process of providing funds for business activities, making purchases, or investing. Financial institutions, such as banks, are in the business of providing capital to businesses, consumers, and investors to help them achieve their goals. The use of financing is vital in any economic system, as it allows companies to purchase products out of their immediate reach.

the PV=FV÷(1+r)^N,

here, PV is present value, FV is future value and r is the rate of discount or interst.

According to the given conditions,

if car financing at 0% ,

then car price=$36,000.

time period =48 months.

so, monthly payment =36000÷48

                                   =$750.

if financing at regular rate then, monthly interest rate is 0.5%

time=48 month.

monthly payment, if we consider same payment=$750

the discount of the purchase price will be $4064.76.

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Answer:

1/3

Step-by-step explanation:

The total number of marbles

10+4+7 = 21

P(blue) = blue marbles / total marbles

            = 7 / 21

            = 1/3