Pls show work
y=-2
4x - 3y = 18​

The general expression is 130 x - 600 and total points scored by the player is 1220

A) Let the number of correctly answered questions be x.

∴ Number of incorrectly answered questions will be 20 - x.

+ 100 points is awarded for each question answered correctly while -30 points is awarded for each question answered incorrectly.

Thus, the general equation becomes

= 100x - (20 - x)(-30)

= 100x +30x - 600

= 130x - 600

Thus the general expression becomes 130 x - 600

B)  The player answers 14 questions correctly, thus x = 14

Substituting the value of x =14 in the general equation we get,

= 130(14) - 600

= 1820 - 600

= 1220.

Thus the total points scored by the player will be 1220

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Answer:

Im sure that you need to subtract so 140 minus 15 is 130

Answer: x is 20 degrees

Step-by-step explanation:

145 + 15 = 160

180 - 160 = 20

( straight line: 180 degrees )

Options a, b, d, and g are the correct conditions for a Binomial Distribution.

The four conditions necessary for X to have a Binomial Distribution are:

a. There are n set trials: In a binomial distribution, the number of trials, denoted as "n," must be predetermined and fixed. Each trial is independent and represents a discrete event.

b. The trials must be independent: The outcomes of each trial must be independent of each other. This means that the outcome of one trial does not influence or affect the outcome of any other trial. The independence assumption ensures that the probability of success remains constant across all trials.

d. There can only be two outcomes, a success and a failure: In a binomial distribution, each trial can have only two possible outcomes. These outcomes are typically labeled as "success" and "failure," although they can represent any two mutually exclusive events. The probability of success is denoted as "p," and the probability of failure is denoted as "q," where q = 1 - p.

g. The probability of success, p, is constant from trial to trial: In a binomial distribution, the probability of success (p) remains constant throughout all trials. This means that the likelihood of the desired outcome occurring remains the same for each trial. The constant probability ensures consistency in the distribution.

The remaining options, c, e, and f, are not conditions necessary for a binomial distribution. Option c, "Continue sampling until you get a success," suggests a different type of distribution where the number of trials is not predetermined. Options e and f, "You must have at least 10 successes and 10 failures" and "The population must be at least 10x larger than the sample," are not specific conditions for a binomial distribution. The number of successes or failures and the size of the population relative to the sample size are not inherent requirements for a binomial distribution.

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62.8 cm²

Step-by-step explanation:

Circumference of a circle: 2 x pie x radius

Since the entire perimeter of the square is 80 cm². And a square has 4 sides, you divide it.

80÷4= 20 cm² each side

So if the circle fits perfectly in the square that means it has the same width as the square...which would be 20 cm²...which means 20 cm² diameter.

20 cm² diameter in radius 10 cm² [half of it]

so now you just put it in the formula..

2 x pie x 10= 62.8 cm²

Answer:

33.33...%

Step-by-step explanation:

Fast and easy method: Money left ÷ money had × 100

Divide 12 by 36:      \(\frac{12}{36}\)

Multiply to 100:       \(\frac{12}{36}\times \frac{100}{100}\)

Simplify:                  \(\frac{12}{36}\times \:1\)

                               \(\frac{1}{3}\times \:1\)

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

1/3 is 33.33... in decimal form.

The volume of water filled in the bath tub is 6 feet × 2 feet × 2.2 feet = 26.4 cubic feet. You need 11.83 minutes in the shower to use as much water as the bath.

The volume of water filled in the bath tub is 6 feet × 2 feet × 2.2 feet = 26.4 cubic feet.

The amount of water used in shower = flow rate × time = 2.23 gallons/minute × 8 minutes = 17.84 gallons

Let's convert gallons to cubic feet: 1 cubic foot = 7.5 gallons

17.84 gallons = 17.84/7.5 cubic feet = 2.378 cubic feet

The volume of water used in the shower is 2.378 cubic feet. The volume of water used for taking a bath is 26.4 cubic feet.

To calculate how many minutes one would need in the shower to use as much water as the bath, divide the volume of water used in taking a bath with the amount of water used per minute in the shower as shown:

26.4/2.23=11.83 min

Therefore, one needs 11.83 minutes in the shower to use as much water as the bath.

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Answer:

2

Step-by-step explanation:

3x>-12

3x/3>-12/3

x>-4

Answer:

total distance = 3*3*3/4

total distance =

\(9 \frac{3}{4} \)

Answer:

Step-by-step explanation:

we have to know what the numbers are

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

b = 35°44'

B = 37°28'

Step 02:

right spherical triangle:

b = 35°44' = (35 + 44/60) = 35.73°

B = 37°28' = (37 + 28/60) = 37.47°

The request is to download a document and complete the proof of the Triangle Sum Theorem. After finishing the proof, the completed file should be saved for upload on a webpage.

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always equal to 180 degrees. To complete the proof, it is necessary to provide a logical and coherent argument that supports this theorem. The document provided likely contains a partially completed proof, and the task is to finish it.

The proof of the Triangle Sum Theorem typically involves using the properties of parallel lines and alternate interior angles. By extending one side of the triangle, parallel lines can be created that intersect with the other sides. This forms interior and exterior angles that can be related to the interior angles of the triangle. Through geometric reasoning and the use of angle relationships, the proof should demonstrate that the sum of the interior angles of a triangle equals 180 degrees.

Once the proof is completed, the document should be saved for upload on the webpage specified, most likely for evaluation or further review. It is important to follow any instructions provided regarding the file format or naming conventions for the upload.

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Answer:

\(144\pi in^2\)

Step-by-step explanation:

Given

Shape: Circe

Radius = 6 inches

Required

What is the surface area of a sphere when the circle

When a circle is rotated about its diameter, the resulting sphere maintains the same radius and diameter as the circle, before rotation;

This implies that

Radius [of sphere] = 6 inches

\(Surfare\ Area = 4\pi r^2\)

Substitute 6 for r

\(Surfare\ Area = 4\pi* 6^2\)

\(Surfare\ Area = 4\pi* 6 * 6\)

\(Surfare\ Area = 4\pi*36\)

\(Surfare\ Area = 144\pi\)

Hence, the surface area of the resulting sphere is 144 pi inches square

Answer:

24

Step-by-step explanation:

rhombus area formula= (diagonal×diagonal)÷2

=6×8

=48÷2

=24

Answer:

14

Step-by-step explanation:

How many 1/2s are in 7? Then, write a multiplication equation and a division equation that answer the question.

Let the number of 1/2s = x

Hence:

Division Equation =

7 ÷ 1/2

Multiplication Equation =

= 7 × 2/1

= 14

There are 14 1/2s in 7

Answer:6.16

Step-by-step explanation:

Roxy can make her goal SMART by deciding an attainable amount of money, diving the total of money in paymets and using the money for emergencies only.

This is a technique to plan and achieve goals based on 5 characteristics:

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The last option; intersecting, but not perpendicular

Chloe wants to buy a hoodie that costs $\$32.75$. She empties her wallet and finds she only has three $\$10$ bills, eight quarters, and a pile of dimes. Thus, she needs at least 8 dimes to be able to pay for the hoodie. She needs at least 8 dimes in her pile so she can pay for the hoodie.

We are required to find the minimum number of dimes that must be in her pile so she can pay for the hoodie. Let us start the solution with the conversion of the given $\$10$ bills into dollars.The three $\$10$ bills are worth $\$30$ in total. She needs $\$2.75$ to be able to pay for the hoodie. To avoid having any extra cents left, we should use only quarters and dimes in this purchase. Let d be the number of dimes needed.Then, the number of quarters needed is equal to (275 − 10d)/25. Since the number of quarters is given to be 8, we can use this to form the equation: (275 − 10d)/25 = 8Multiplying both sides of the equation by 25, we have:275 − 10d = 200d = (275 − 200)/10= 7.5She needs at least 7.5 dimes to pay for the hoodie, which is not possible.

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The minimum number of dimes that must be in her pile so she can pay for the hoodie is 297 dimes.

Given that Chloe wants to buy a hoodie that costs 32.75.

She empties her wallet and finds she only has three $10$ bills, eight quarters, and a pile of dimes.

We need to find the minimum number of dimes that must be in her pile so she can pay for the hoodie.

In order to solve this, we first need to convert the given amount into cents.

Since, there are three $10 dollar bills, then the total amount of money Chloe has is:

\($\text{Total money}= 3 \times 10 + 8 \times 25 = 305$\) cents

Chloe needs 3275 cents to pay for the hoodie.

Therefore, the minimum number of dimes that must be in her pile so she can pay for the hoodie is:

\($\frac{3275 - 305}{10} = 2970/10 = \boxed{297}$\) dimes.

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The ratio of junior to adult = 6/5

What is proportion?

An equality between two ratios. According to proportion, if 2 sets of given numbers area unit increasing or decreasing within the same quantitative relation, then the ratios area unit aforesaid to be directly proportional to every different.

Main body:

Given - data in the question

To find answer the question

Solution - Let no of junior, children and adults be x, y, z respectively.

Now, ratio of junior to children = 1/3

So, x = 3y

Ratio of children to adult = 5/2

So, 5y = 2z

.(2)

So, from (1) we get, y = x / 3

So, 5x / 3 = 2z

⇒5x = 6z

⇒ x/z=6/5

Hence, the ratio of junior to adult = 6/5

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Answer:

\(2(x+11y)\)

Step-by-step explanation:

Rearrange:

\(10x-7x-x+13y+9y\)

Subtract and Add:

\(2x+22y\)

Simplify:

\(2(x+11y)\)

Answer:

x + 11y

Step-by-step explanation:

Working in parts starting with x...

10x-7x = 3x

3x - x = 2x

Moving on to y...

13y + 9y = 22y

Put it together

2x + 22y

Simplify by dividing both by a common number ( in this case 2)

x + 11y

The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

What is the domain and range?

The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.

The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.

The range of a function refers to the set of all possible output values, or y-values.

To find the domain and range of functions and represent them in different formats.

To find the domain and range of a function:

The domain refers to the set of all possible input values (x-values) for the function.

The range refers to the set of all possible output values (y-values) for the function.

To represent the function as a table, you would list the input-output pairs. For example:

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

To represent the function as a mapping, you would indicate the correspondence between the input and output values.

For example:

-3     ->   -4

-1     ->     2

0     ->     0

-3    ->     5

2     ->     4

To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.

The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.

Hence, The domain and range are the set of x and values of the function are in the table.

the function as a table,

Input (x) | Output (y)

-3         |        -4

-1          |         2

0         |         0

-3         |         5

2         |         4

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The Area of the Faces are:

Face A: 93.5 square inches

Face B: 93.5 square inches

Face C: 46.75 square inches

Face D: 46.75 square inches

Face E: 93.5 square inches

Face F: 93.5 square inches

Face A:

Since the dimensions of the base sheet are 8.5 inches by 11 inches, the area of Face A is:

Face A = 8.5 inches x 11 inches

= 93.5 square inches

Face B:

Since the dimensions of the whole sheet are 8.5 inches by 11 inches, the area of Face B is:

Face B = 8.5 inches x 11 inches

= 93.5 square inches

Face C:

Since the dimensions of the half sheet are 8.5 inches by 5.5 inches (half of 11 inches), the area of Face C is:

Face C = 8.5 inches x 5.5 inches

= 46.75 square inches

Face D:

It has the same dimensions as Face C, so the area is also:

Face D = 8.5 inches x 5.5 inches = 46.75 square inches

Face E:

They have the same dimensions as the whole sheet, so the area of Face E is:

Face E = 8.5 inches x 11 inches = 93.5 square inches

Face F: This is the top face of the prism, which is the same as Face B. So the area of Face F is also:

Face F = 8.5 inches x 11 inches = 93.5 square inches

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The balance after 6 years on an account that pays 5.5% annual interest compounded continuously with an initial deposit of $975 is $1,356.19.

Continuous compounding involves calculating the interest earned on a principal amount continuously over time, which results in a higher overall balance than other compounding frequencies.

Using the formula A = Pe^(rt), where A is the final balance, P is the initial deposit, r is the interest rate, and t is the time, we can calculate the balance after 6 years as A = 975e^(0.055*6) = $1,356.19. Therefore, the correct answer is option D, $1,356.19.

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Using the probability concept, it is found that there is a 0.375 = 37.5% probability that she will pick either a yellow or orange sweet.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

The probability that she will pick either a yellow or orange sweet is:

\(p = \frac{D}{T} = \frac{9}{24} = 0.375\)

0.375 = 37.5% probability that she will pick either a yellow or orange sweet.

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Probability to pick yellow or orange sweet is 3 / 8

Given:

Number of yellow sweet = 5

Number of red sweet = 4

Number of green sweet = 8

Number of orange sweet = 4

Number of white sweet = 3

Find:

Probability to pick yellow or orange sweet

Computation:

Total number of sweets = 24 sweets

Probability to pick yellow = 5 / 24

Probability to pick orange = 4 / 24

Probability to pick yellow or orange sweet = 5/24 + 4/24

Probability to pick yellow or orange sweet = 9 / 24

Probability to pick yellow or orange sweet = 3 / 8

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Answer:

48 and 32

Step-by-step explanation:

both numbers get rounded by 8 going up and down rounding it to 40

Answer:

13841287201

Step-by-step explanation:

I typed it into a calculator.

Answer:

Explanation:

Hope it helps.....

:)

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Given

It is clear that m∠ABD and m∠CBD lie on a straight line.

Thus, the sum of m∠ABD and m∠CBD will be 180°.

Hence,

m∠ABD and m∠CBD are supplementary angles.

Part b)

As m∠ABD and m∠CBD are supplementary angles, so the sum of m∠ABD and m∠CBD will be 180°.

Thus,

m∠ABD + m∠CBD = 180°

substitute m∠ABD = (7q-46)° and m∠CBD = (3q + 6)°

(7q-46)° + (3q + 6)° =  180°

Part c)

Given the equation

(7q-46)° + (3q + 6)° =  180°

Combining the like terms

7q + 3q - 46 + 6 = 180

10q - 40 = 180

10q = 180 + 40

10q = 220

divide both sides by 10

10q/10 = 220/10

q = 22

Therefore, the value of q = 22

Part d)

As

m∠ABD = (7q-46)°

substituting q = 22

m∠ABD = 7(22) - 46

             = 154 - 46

             = 108°

also

m∠CBD = (3q + 6)°

substituting q = 22

m∠CBD = 3(22) + 6

              = 66+6

              = 72°

Therefore,

Null Hypothesis is equal to  \($H_a: \mu > 275$\) and  \(\quad \beta=0.926 \quad\)

Null Hypothesis

\($H_0: \mu=275$\)

Alternate Hypothesis

\($H_a: \mu > 275$\)

\($\sqrt{7}=55$\)

n=30

\($\bar{x}=292$\)

\($z=\frac{\bar{x}-\mu}{\sigma /\sqrt{x} { }}$\)

\($=\frac{292-275}{55 / \sqrt{30}}$\)

\($=1.69$\)

at \(\alpha=0.05, z$ is $1.96$\)

\($$\begin{aligned}z &=\frac{\bar{x}-\mu}{\sigma / \sqrt{n}} \\1.96 &=\frac{\bar{x}-275}{55 / \sqrt{30}}\end{aligned}$$\)

\($\begin{aligned} \bar{x}-294 \cdot 6 \\ z=& \frac{294 \cdot b=280}{55 / \sqrt{30}} \\ \frac{(14.6)(\sqrt{30})}{55} \end{aligned}$\)

\($z=1.45$\)

\(p(x < z)=0.926$.\)

\($\therefore \quad \beta=0.926 \quad($\) Type II)

The null hypothesis in inferential statistics states that two possibilities are the same. The null hypothesis states that the observed difference is solely attributable to chance. The likelihood that the null hypothesis is true can be calculated using statistical testing.

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