3(q-7)=27 What is the answer?

(about) 6.6 or 6 2/3

Answer:

Susan pays $2220 more interest than Robert

Step-by-step explanation:

Interest = principle times rate times the time

I = PRT

Robert:  I = 30000(.049)(4) = $5880  

Susan:   I = 30000(.045)(6) = $8100

8100 - 5880 = $2220

Answer: x=15

Step-by-step explanation:

Answer: if solving for x the answer is 15

Step-by-step explanation:

-14x+ 132=26(x-18)

-14x+132=26x-468

132=40x-468

600=40x

15

Answer:

Step-by-step explanation:

This is all about the symbols and how they are pronounced; it's also about what they mean in less formal language.

h is less than 21:  h < 21

h is greater than or equal to 21:  \(h \ge 21\)  (notice the half-an-equal sign under the greater than sign)

h is less than or equal to 21:  \(h \le 21\)

h is equal to 21:  h = 21

h is greater than 21:  h > 21

Learn these well, and they'll be your friends for life!

Answer:

try O because it the line technically passes through the origin

Step-by-step explanation:

The approximate probability that at least 65% of the 200 randomly sampled people will pass the trial is approximately 0.9251 or 92.51%

To calculate the approximate probability that at least 65% of the 200 randomly sampled people will pass the trial, we can use the binomial distribution and the cumulative distribution function (CDF).

In this case, the probability of success (passing the trial) is p = 0.6, and the sample size is n = 200.

We want to calculate P(X ≥ 0.65n), where X follows a binomial distribution with parameters n and p.

To approximate this probability, we can use a normal distribution approximation to the binomial distribution when both np and n(1-p) are greater than 5. In this case, np = 200 * 0.6 = 120 and n(1-p) = 200 * (1 - 0.6) = 80, so the conditions are satisfied.

We can use the z-score formula to standardize the value and then use the standard normal distribution table or a calculator to find the probability.

The z-score for 65% of 200 is:

z = (0.65n - np) / √np(1-p))

z = (0.65 * 200 - 120) /√(120 * 0.4)

z = 1.44

Looking up the probability corresponding to a z-score of 1.44in the standard normal distribution table, we find that the probability is approximately 0.0749.

However, we want the probability of at least 65% passing, so we need to subtract the probability of less than 65% passing from 1.

P(X ≥ 0.65n) = 1 - P(X < 0.65n)

P(X ≥ 0.65)  =1 - 0.0749

P(X ≥ 0.65) = 0.9251

P = 0.9251 or 92.51%

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Answer:

SCB

Step-by-step explanation:

Answer:

by using Pythagoras law

height =√{10²-(26-14)²}=±2√11=+2√11

the area of the trapezoid=1/2 height (side1+side2]

=1/2 ×2√11 (14+26)=132.66unit²

Step-by-step explanation:

greater than 132.66unit² is 160 unit² so answer is 160unit²

Answer:

Step-by-step explanation:

Given isosceles trapezoid

First find the base of the triangle with side of 10 and dotted segment (h):

Find the height of the trapezoid, use Pythagorean:

Find the area of the trapezoid:

Correct choice is B

The expected value for the insurance policy is $12,390.795. This represents the average amount the insured can expect to receive if he survives the year, considering the coverage amount and the probability of survival. It takes into account the premium paid for the policy.

The expected value for the insurance can be calculated by multiplying the coverage amount by the probability of survival and subtracting the premium paid. In this case, the expected value is:

Expected Value = (Coverage Amount) * (Probability of Survival) - (Premium Paid)

Expected Value = $12,715 * 0.993 - $225

Expected Value = $12,615.795 - $225

Expected Value = $12,390.795

Therefore, the expected value for the insurance policy is $12,390.795.

This means that on average, the insured can expect to receive a payout of approximately $12,390.795 if he survives the year, taking into account the premium paid for the policy.

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As per unitary method, the amount it will cost to fill the pool is $2.68

The Unitary Method is a mathematical concept which encourages students to use one single rule or principle to solve a problem. It can be used to solve a variety of mathematical problems in algebra, geometry, and other areas.

In this case, the pool is 10 ft wide. To calculate the capacity of a pool with a rectangular shape, you need to multiply its width by its length and then multiply that result by its depth.

If we assume that the length and depth of the pool are both equal to 10 ft, then the capacity of the pool can be calculated as follows:

=> 10 ft x 10 ft x 10 ft = 1,000 cubic feet.

To convert the capacity to gallons, you need to divide

=> 1,000  / 7.48 = 133.89

gallons of water required to fill the pool.

Finally, to calculate the cost of filling the pool, you just need to multiply the number of gallons by the cost per gallon of water ($0.02).

=> 133.89 x 0.02 = 2.68

This gives us a total cost of $2.68 to fill the pool with water.

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Okay, it seems like you want to analyze a sample of 16 babies based on their weight.

The information you provided states that the Center for Disease Control and Prevention reports that 25% of baby boys aged 6-8 months in the United States weigh more than 20 pounds.

However, you haven't mentioned the specific question or analysis you want to perform on the sample. Could you please clarify what you would like to know or do with the given information?

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When an integer is negative, its cube is also negative because the exponent is odd.

Hey there!

Fun fact:

• MONOMIAL contains ONE term because MONO- means 1

• BINOMIAL contains TWO terms because BI- means 2

• TRINOMIAL contains THREE terms.. because TRI- means 3.

• POLYNOMINAL contains FOUR or MORE terms because POLY- means 4 or more

ANSWERING YOUR QUESTION

(3/5x + 3)^2

= (3/5x)(3/5x) + (3/5x)(3) + (3/5x)(3) + 3(3)

• 3/5x(3/5x) = 9/25x

• 3/5x(3) = 9/5x

• 3(3) = 9

= 9/25^2 + 9/5x + 9/5x + 9

• COMBINE the LIKE TERMS

= (9/25)x^2 + 18/5x + 9

Therefore, your answer is:

“9/25x^2 + 18/5x + 9”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

A compass and straight-edge can be used to measure segments and angles.  For example, to measure a segment, you would draw the segment, then use the compass to extend the segment and mark off divisions on the straight-edge.

A compass and straight-edge are two important tools used in geometry to measure segments and angles. A compass is a tool used to draw circles or arcs, while a straight-edge is a tool used to draw straight lines. Together, these tools allow us to measure segments and angles accurately.

For example, to measure a segment, we can use a straight-edge to draw a line connecting the two endpoints of the segment. Then, we can use a compass to measure the distance between the endpoints by setting the compass at one endpoint and adjusting it until the other end of the compass reaches the other endpoint. The distance between the two endpoints is the length of the segment.

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Answer:

because when x ing a positive to a negative it will give you a negative however if you x a negative and a negitive it will give a positive

Step-by-step explanation:

Answer:

Domain: \([-1,\infty)\)

Range: \((-\infty, 3]\)

Decreases over: \((-1,-\infty)\)

Step-by-step explanation:

Given

\(f(x) = -\sqrt{x + 1} + 3\) --- Missing from the question

Solving (a): The domain

To get the domain, the expression under the square root must not be negative.

In other words:

\(x + 1 \ge 0\)

Solve for x

\(x + 1 -1\ge 0-1\)

\(x \ge -1\)

Hence, the domain is:

\([-1,\infty)\)

To get the range, we plot the values of the domain in the expression.

\(x = -1\)

\(f(x) = -\sqrt{x + 1} + 3\)

\(f(-1) = -\sqrt{-1+1} +3\)

\(f(-1) = -\sqrt{0} +3\)

\(f(-1) = -0 +3\)

\(f(-1) = 3\)

\(x = \infty\)

\(f(\infty) = -\sqrt{\infty +1}+3\)

\(f(\infty) = -\sqrt{\infty}+3\)

\(f(\infty) = -\infty+3\)

\(f(\infty) = -\infty\)

So, the range is: \((-\infty, 3]\)

To get the interval where the function increases or not, we simply plot the graph of f(x).

See attachment for graph.

From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.

This implies that, the graph decreases over the interval \((-1,-\infty)\)

The equation Ax = b does not have a solution for all possible b. The set of all b for which Ax = b does have a solution is the set of all b such that 6b3 - 3b2 + 2b1 = 0.

The equation Ax = b is equivalent to the system of equations:
x1 - 4x2 - 3x3 = b1
-4x1 + 4x2 + 0x3 = b2
2x1 + 0x2 + 6x3 = b3

we add the first two equations, we get:
-3x3 = b1 + b2

This means that 6b3 - 3b2 + 2b1 = 0. So, the set of all b for which Ax = b has a solution is the set of all b such that 6b3 - 3b2 + 2b1 = 0.
Step-by-step solution:
1.We can write the equation Ax = b as a system of equations:
x1 - 4x2 - 3x3 = b1
-4x1 + 4x2 + 0x3 = b2
2x1 + 0x2 + 6x3 = b3

2.Add the first two equations:

-3x3 = b1 + b2

3.This means that 6b3 - 3b2 + 2b1 = 0.

4.Therefore, the set of all b for which Ax = b has a solution is the set of all b such that 6b3 - 3b2 + 2b1 = 0.

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The set of all b for which Ax = b does have a solution can be described as: b = b1*[1, -4, -3] + b2*[-4, 4, 0] = [b1 - 4b2, -4b1 + 4b2, -3b1].

To show that the equation Ax = b does not have a solution for all possible b, we can row reduce the matrix A to determine if it has a pivot position in every row. If there is a row without a pivot position, it means that the corresponding equation in the system is inconsistent, and thus the system does not have a solution for all possible b.

Let's row reduce the matrix A:

1 -4 -3

-4  4  0

2   4  6

Performing row operations:

R2 + 4R1 -> R2

R3 - 2R1 -> R3

1 -4 -3

0   0  12

0   12 12

Now, we can see that the second row consists of all zeros, which means there is no pivot position in that row. Therefore, the system Ax = b does not have a solution for all possible b.

To describe the set of all b for which Ax = b does have a solution, we need to consider the column space of matrix A. The column space is the span of the columns of A, and any vector b that can be written as a linear combination of the columns of A will have a solution.

The columns of A are:

[1, -4, 2]

[-4, 4, 4]

[-3, 0, 6]

We can see that the third column is a multiple of the second column, so the column space of A is actually spanned by the first two columns. Therefore, any vector b that can be expressed as a linear combination of the first two columns will have a solution to Ax = b.

Thus, the set of all b for which Ax = b does have a solution can be described as:

b = b1*[1, -4, -3] + b2*[-4, 4, 0] = [b1 - 4b2, -4b1 + 4b2, -3b1]

Here, b1 and b2 are scalar coefficients that can vary, and bz is set to 1 as indicated in the question.

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Let A = 1-4 -3 -4 4 0 2 4 6 and b = b2 . Show that the equation Ax=b does not have a solution for all possible b, and describe the set of all b for which Ax=b does have a solution. How can it be shown that the equation Ax = b does not have a solution for all possible b? Describe the set of all b for which Ax=b does have a solution. 0= (Type an expression using b1,b2, and bz as the variables and 1 as the coefficient of bz.)

Answer:

B, C

Step-by-step explanation:

Answer:

photosynthesis is a processes by which plants get their proteins

In cofunction cot(3π/10)  can be expressed as tan(9π/10).

To express cot(3π/10) in terms of its cofunction, we'll utilize the relationship between cotangent and its cofunction, tangent.

The cofunction of an angle is the value of the corresponding trigonometric function with the complementary angle.

Since the complementary angle of 3π/10 radians is π/2 - 3π/10, we can express cot(3π/10) in terms of its cofunction as:

cot(3π/10) = tan(π/2 - 3π/10).

Now, let's simplify this expression:

cot(3π/10) = tan(π/2 - 3π/10)

           = tan(π/2 + 3π/10 - π)

           = tan(2π/2 + 3π/10 - π)

           = tan(2π/2 - π/10)

           = tan(π - π/10)

           = tan(9π/10).

Therefore, cot(3π/10) in terms of its cofunction is equal to tan(9π/10).

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Given the expression:

The expression shows the distribution property of addition

So, 6 ( 3 +4 ) = 6 * 7 = 42

Which will give the same result if we distribute 6 over 3 and 4

So, 6 (3) + 6(4) = 18 + 24 =42

Show the following diagram:

As shown, the rectangle on the left side has 3 rows + 4 rows

Which will give us 7 rows when divided to 6 column will give 42 squares

While the rectangles on the right side. we have divided it to 3 rows and 4 rows, each one of them is divided to 6 column which will give us 18 squares and 24 squares the sum of them will give us 42 squares

So, 6 ( 3 + 4 ) = 6(3) + 6 (4)

As a college basketball player makes 70% of his free throws, there is a 0.833 chance that he will convert at least two of them.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Here,

free throws made by a college basketball player=70%

=70/100

the probability that he makes at least two of the free throws,

=(70/100)²+(70/100)³

=0.833

The probability that he makes at least two of the free throws will be 0.833 as free throws made by a college basketball player in 70%.

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Answer:

As a college basketball player makes 70% of his free throws, there is a 0.833 chance that he will convert at least two of them.

Step-by-step explanation:

Answer:

IF its a pretest the grade doesnt count im pretty sure.

Answer:

1. 15% of 48= 7.2

2. 25% of 80= 20

3. 135% of 70= 94.5

4. 7/10 of 100= 0.7

5. Solution for 36 is what percent of 50:

36: 50*100 =

(36*100): 50 =

3600: 50 = 72

6. Solution for 4 is what percent of 20:

4: 20*100 =

(4*100): 20 =

400: 20 = 20

7 30 is 50% of what number

50% is half of 100 so all you do is times the number by 2 which is 30 to get 60

8. 2 is 25 percent of what number?

again 25% you need to do 4 times 25 to get 100 so you do 12 x 4 and you get 48

9 its 800 so 75 again is 3 x 25 so you divide 600 by 3 and you get 200 so then to get 100 percent you do 4 x 200 and you get 800 so the awnser is 800

Step-by-step explanation:

Final Answer: 18 lemons

Explanation:

8 x 3 = 24

In order to find how many lemons you need, you need to multiply the amount of lemons by 3 as well.

6 x 3 = 18

Therefore, you need 18 lemons. :)

Answer:

P(t) = 10t - 400

Step-by-step explanation:

Selling price of each ticket = $10

Cost of setting up the dance= $400

Profit = Revenue - cost

Revenue = price × quantity

Revenue that will maximize profit = 10t

where t= quantity of tickets that maximises profits

Cost = $400

Profit(t) = Revenue - cost

P(t)= 10t - 400

We want to find the equation that represents the school's profit. We will get:

P(x) = $10*x - $400

We know that the tickets to the school dance are sold for $10 each, then the revenue, if they sell x tickets, is just:

r(x) = $10*x

And we know that they spent a total of $400.

Remember that profit is defined as the difference between revenue and costs, so the profit equation is just:

P(x) = $10*x - $400

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Answer:

f(7) ≥ 19

Step-by-step explanation:To find the smallest possible value of f(7), we can use the Mean Value Theorem for Derivatives. According to this theorem, if a function f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one point c in (a, b) such that:

f'(c) = (f(b) - f(a))/(b - a)

In this case, we know that f(2) = 14 and f'(x) ≥ 1 for 2 ≤ x ≤ 7. Therefore, we can apply the Mean Value Theorem to the interval [2, 7] to get:

f'(c) = (f(7) - f(2))/(7 - 2)

Since f'(x) ≥ 1 for 2 ≤ x ≤ 7, we have:

1 ≤ f'(c) = (f(7) - 14)/5

Multiplying both sides by 5 and adding 14, we get:

f(7) ≥ 19

Answer:

straight angle

Step-by-step explanation:

I know that angle one and angle two will add to give 180 degrees as it lies on a straight line hence the answer would be straight angle