How many times does 15 fit into 35.

Answer:

A

Step-by-step explanation:

-4 is the y-intercept, so there will always be an arrow that crosses over that point. And for the slope (2x) you need to go up two places from the y-intercept and then one to the right :)

Answer:

A

Step-by-step explanation:

The 2 in 2x-4 tells us that the line is rising, so that disqualifies answer B and C.

The -4 tells us the line passes the y axis at -4, so that disqualifies C and D.

Leaves A!

The bearing of point A from point O is 256°.

In mathematics, a bearing is the angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing. For example, 30° clockwise from north is usually written as 030°.

Given that, angle x= 076° and angle y = 111°.

Now, the bearing of point A from point O is

180°+ 076°

= 256°

Therefore, the bearing of point A from point O is 256°.

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The solution to the system of equations by substitution is x = 3 and y = -8.

To solve the system of equations by substitution:

Solve one equation for one variable in terms of the other variable. Let's solve the first equation for x:

4x - y = 20

4x = y + 20

x = (y + 20)/4

Substitute this expression for x into the second equation:

-2x - 2y = 10

-2((y + 20)/4) - 2y = 10

(y + 20)/2 - 2y = 10

(y + 20) - 4y = 20

-y - 20 - 4y = 20

-5y = 40

y = -8

Substitute the value of y back into the first equation to find x:

4x - (-8) = 20

4x + 8 = 20

4x = 20 - 8

4x = 12

x = 12/4

x = 3

Therefore, the solution to the system of equations is x = 3 and y = -8.

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Answer:

57%

Step-by-step explanation:

200+245+125 = 570

570/1000 = .57

Answer:

57%

Step-by-step explanation:

First find the total number of families in the sample.

Total = 350 + 200 + 245 + 125 + 66 + 10 + 4

Total = 1000

Next find the number of families that have 3, 4 or 5 people.

Total(3,4 or 5) = 200 + 245 + 125

Total(3,4 or 5) = 570

Now the % = (Total 3,4 or 5) / Total ) * 100

% = 570 / 1000 * 100

% = 57%

Answer:

x = 3

Step-by-step explanation:

x  + 9 = 12

To solve the equation, we have to isolate 'x'.

To isolate x,  subtract 9 from both sides.

x + 9 - 9 = 12 - 9

x = 3

Answer:

\(\boxed{\sf{x=3}}\)

Step-by-step explanation:

The only thing you need to do to solve this problem is to isolate the term x from one side of the equation.

x+9=12

First, subtract by 9 from both sides.

\(\sf{x+9-9=12-9}\)

Solve.

\(\sf{12-9=3}\)

\(\boxed{\sf{x=3}}\)

Therefore, the final answer is x=3.

I hope this helps you! Let me know if my answer is wrong or not.

Step-by-step explanation:

120÷24

    0   24⟌120

    0   24⟌120   0  

    0   24⟌120   -0      1

    00  24⟌120   -0      12 

   0   24⟌120   -0      12 

    00  24⟌120   -0      12    - 0     12 

   00  24⟌120   -0      12    - 0     120

Answer:

37500

Step-by-step explanation:

100-80 = 20 percent of original price

Therefore 20 percent of selling price = 7500

\(\frac{20x}{100}=7500\\ 20x = 750000\\x = 37500\)

Answer:

20 percent * 37500 =

(20:100)* 37500 =

(20* 37500):100 =

750000:100 = 7500

Answer:

His profit in dollars per day is 91.

Step-by-step explanation:

You know that the net profit in dollars per day for a small business owner is given by the equation f(x) = -0.1*x² + 6*x + 1, where x is the number of employees he hires.

If he hires the number of employees that will maximize his profit, then this indicates that I should look for the maximum of the function f (x).

A quadratic function or second degree function is a polynomial function defined as:

f(x)= a*x² + b*x + c

If the scalar a> 0, the parabola opens upwards and the vertex is the minimum of the function. On the other hand, if a <0, the parabola opens downwards and the vertex is the maximum of the function.

In this case, having a value of -0.1, the vertex will indicate the maximum of the function.

The maximum in x is then reached when:

\(x=\frac{-b}{2*a}\)

In this case, being a=-0.1 and b=6, you get:

\(x=\frac{-6}{2*(-0.1)}=\frac{-6}{-0.2} =30\)

The number of employees who will maximize their profits is 30. So, replacing in the function f (x) you get:

f(30) = -0.1*30² + 6*30 + 1

Solving:

f(30)= 91

His profit in dollars per day is 91.

Your answer will be 35

Answer:

C). y = 8

Step-by-step explanation:

Answer:

Let first angle be x

x+x+6+x-12=180°

3x-6=180°

3x=186

x=63°

First angle=63°

Second Angle=69°

Third angle=51°

Hope it helps you

Answer:

y = 8

Step-by-step explanation:

5x + 2y = -6 .... 5x = -6 - 2y ...... x = -6/5 -2y/5

3 × ( -6/5 -2y/5 ) - 2y = 22

-18/5 - 6y/5 - 2y = 22 ... (×5)

-18 - 6y - 10y = 110

-16y = 128 .... (× -1)

16y = -128 .... (÷16)

y = 8

Step-by-step explanation:

1)  Total rectangle area =  W x H = 12 x 8 = 96 cm^2

 area of triangle (shaded portion) = 1/2 base * height = 1/2 * 7 x 8 = 28 cm^2

              Nonshaded portion = 96 - 28 cm^2 = 68 cm^2

          ratio shaded:nonshaded is then   28 : 68 = 7:17

2)   Look at the two middle triangles :  Height of each = 8 cm

       then reading across the diagram  height + base + height = 21 cm

            so base = 5 cm

   area of ONE triangle = 1/2 * base * height = 1/2 * 5 * 8 = 20 cm^2

        total area for FOUR of them  = 80 cm^2

The length of the adult crocodile more than the young crocodile is 5.0 feet.

A young crocodile is 0.4 feet long. An adult crocodile is 13.5 times as long. The length the adult crocodile is more than the young crocodile can be calculated as follows:

Hence,

length of the adult crocodile = 13.5(0.4)

length of the adult crocodile = 13.5 × 0.4

length of the adult crocodile = 5.4 feet

Therefore,

the length of the adult crocodile more than the young crocodile = 5.4 - 0.4 = 5.0 feet

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The number of ways is 120 ways.

The given scenario states that there is one extra pack of 10 identical pens and the owner of these pens decided to give away all the 10 pens to 3 of their classmates.

Now, we need to find out the number of ways that these pens can be distributed among these 3 classmates. We can use the formula for combinations to solve this problem.

The formula for combinations is as follows:

ⁿCk = n! / (k! * (n - k)!)

Where n represents the total number of items, k represents the number of items being selected, and ! represents the factorial function.

Here, n = 10 (total number of pens), k = 3 (number of classmates)So, the number of ways that the pens can be distributed to these 3 classmates is given by:

¹⁰C3 = 10! / (3! * (10 - 3)!)

¹⁰C3  = (10 * 9 * 8) / (3 * 2 * 1)

¹⁰C3  = 120

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Answer:

28

Step-by-step explanation:

24/6=4 then take the 4 and multiply it by 7(other number in ratio) and you get 28

The upper bound of the 90% confidence interval for the recovery time is approximately 23.696 days.

It takes more than approximately 21.257 minutes to find a parking space 90% of the time.

To find the probability that it will take more than 11 days to recover from the surgical procedure, we need to calculate the area under the normal distribution curve to the right of 11 days.

Mean (μ) = 7 days

Standard deviation (σ) = 7.92 days

We can standardize the value of 11 days using the z-score formula:

z = (x - μ) / σ

z = (11 - 7) / 7.92

z = 0.506

Using a standard normal distribution table or a calculator, we can find the probability corresponding to the z-score of 0.506. The probability is approximately 0.3051.

Therefore, the probability that it will take more than 11 days to recover is approximately 0.3051 or 30.51%.

Question 8:

To find the upper bound of the 90% confidence interval for the number of days needed to recover from the surgical procedure, we need to calculate the z-score corresponding to the desired confidence level and then find the corresponding value using the standard deviation.

Given:

Mean (μ) = 20 days

Standard deviation (σ) = 2.24 days

For a 90% confidence interval, the z-score corresponding to the upper tail probability of 0.10 (1 - 0.90) is approximately 1.645.

Using the formula for the upper bound of the confidence interval:

Upper bound = μ + (z * σ)

Upper bound = 20 + (1.645 * 2.24)

Upper bound ≈ 23.696

Therefore, the upper bound of the 90% confidence interval for the recovery time is approximately 23.696 days.

Question 9:

To find the time it takes more than 90% of the time to find a parking space, we need to calculate the z-score corresponding to the desired upper tail probability and then find the corresponding value using the standard deviation.

Mean (μ) = 15 minutes

Standard deviation (σ) = 4.89 minutes

For a probability of 90%, the upper tail probability is 1 - 0.90 = 0.10.

Using a standard normal distribution table or a calculator, we can find the z-score corresponding to the upper tail probability of 0.10, which is approximately 1.282.

Using the formula for the upper bound:

Upper bound = μ + (z * σ)

Upper bound = 15 + (1.282 * 4.89)

Upper bound ≈ 21.257

Therefore, it takes more than approximately 21.257 minutes to find a parking space 90% of the time.

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Answer:

The purpose of the vertical line test is to determine if the function is in fact a function. (Option C)

Explanation:

Once a vertical line is drawn to every part of the function and it only hit one point on the graph, then it is a function. For example,

If the vertical line hits two points or more on the graph, then the graph is not a function. For example, a circle is not a function.

The volume of the tetrahedron is 1/162 cubic units.

Integration is a mathematical operation that is the reverse of differentiation. Integration involves finding an antiderivative or indefinite integral of a function.

To find the volume of the tetrahedron enclosed by the coordinate planes and the plane 9x + y + z = 1, we can set up a triple integral over the region that the tetrahedron occupies in space.

The region of integration is defined by the inequalities:

0 ≤ x ≤ 1/9

0 ≤ y ≤ 1 - 9x

0 ≤ z ≤ 1 - 9x - y

The limits of integration for each variable are based on the boundaries of the tetrahedron.

Thus, the triple integral for the volume is:

V = ∭R dV = ∫\(^{(1/9)\) ∫\(^{(1-9x)\) ∫\(^{(1-9x-y)\) dz dy dx

Evaluating this integral, we get:

V = ∫\(^{(1/9)\) ∫\(^{(1-9x)\) (1-9x-y) dy dx

= ∫\(^{(1/9)\) [(1-9x) (y - 0.5y²)]\(^{(1-9x)\) dx

= ∫\(^{(1/9)\) (1/2) (1-9x)² dx

= (1/2) [∫\(^{(1/9)\) (1-18x+81x²) dx]

= (1/2) [x - 9x² + (27/2) x²]\(^{(1/9)\)

= 1/162

Therefore, the volume of the tetrahedron is 1/162 cubic units.

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She must put in at least 5 raisins so that the probability of a randomly chosen slice have no raisins is 0.01.

a. If she puts 100 raisins into a batch of dough, the probability that a randomly chosen slice of bread contains no raisins is\((20-1/20)^100\), which is equal to 0.36.

b. If she puts 200 raisins into a batch of dough, the probability that a randomly chosen slice of bread contains 5 raisins is\((200C5)*(20-5/20)^195\), which is equal to 0.0122.

c. To find the number of raisins she must put in so that the probability that a randomly chosen slice will have no raisins is 0.01, we can use the formula \((20-1/20)^x = 0.01\), where x is the number of raisins. Solving for x yields x = 4.76 or 5. Therefore, she must put in at least 5 raisins so that the probability of a randomly chosen slice have no raisins is 0.01.

She must put in at least 5 raisins so that the probability of a randomly chosen slice have no raisins is 0.01.

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The maximum area covered under the 1 SD range (i.e. from positive axis to negative axis of central tendency) is 68%, so in any case there will be 32% data will be unaffected.

Here, as measure of central tendency is median, data might be discrete and do not follow normal curve.

By summing all the numbers in a data collection and dividing by the total number of values in the set, one can determine the mean (average) of the data set. When a collection of data is ordered from least to largest, the median represents the midpoint value. The occurrence of a number most frequently in a data set is called the mode. The mean is defined as the average of all the observations in the mean median mode formula. In mathematical terms, it is written as Mean = "Sum of Observation" "Total number of Observations." The result of dividing a group of values' sum by their total number is the value known as the mean. The middle value among a group of values is called the median.

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The value of q is -27.

Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.

In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.

We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.

Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.

Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.

Combine like terms: 15 - beta = 6.

Subtract 15 from both sides: -beta = -9.

Multiply both sides by -1 to solve for beta: beta = 9.

Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.

Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.

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Answer:

the answer is a for approval

Correct option is C, The situation's slope is calculated to be:  0.70.

A situation's slope is always its unit rate. And m in y = mx + b is how it appears in a linear equation.

The value of b in the preceding linear equation can be either the starting value or an additional value.

According to our interpretation of the circumstances, we have:

The additional cost, b, is the y-intercept and equals $3.25.

The price of 1 bagel is equal to the slope/unit rate.

Cost of 12 bagels is $8.40

Slope (m) equals $8.40 / 12 = $0.7

This indicates that the situation's slope is shown as: 0.7.

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Answer: 0.70

Step-by-step explanation:

I took the test so I know it is correct

Answer:

-193 is correct.

The number of t-shirts that Brian can order is at most 5, to keep the total cost within the team's budget.

This inequality is t ≤ 5.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Let t be the number of t-shirts that Brian orders.

Since each t-shirt costs $12,

The total cost of the t-shirts will be 12t dollars.

The team's budget for clothing is at most $60.

This means that the total cost of t-shirts should be less than or equal to $60.

The inequality that represents the situation is:

12t ≤ 60

This inequality can also be written as:

t ≤ 5

Thus,

The number of t-shirts that Brian can order is at most 5, to keep the total cost within the team's budget.

This inequality is t ≤ 5.

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