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What is the sign of the product (3)(−25)(7)(−24)?
Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive
Positive, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is positive
Negative, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is negative
Negative, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is negative

Answer:

3:2.

Step-by-step explanation:

They have 15 - 6 = 9 problems to do, so it is:

9:6

= 3:2.

Answer:

9/15

Step-by-step explanation:

15 - 6 = 9 as a fraction would be 9 meaning what is left and 15 as meaning how much they started with so it is 9/15 also called 9 over 15

Hope This Helped

Answer:

20.4

Step-by-step explanation:

The formula to find the volume of a rectangular prism is :

Given that,

Volume = 8223.75 in³

length = 12.5 in

width = 32.25 in

height = ?

Now let us use the formula and find the height.

V = l × w × h

8223.75 = 12.5 × 32.25 × h

8223.75 = 403.125h

Divide both sides by 403.125.

20.4 = h

Therefore,

height = 20.4 in

Answer:

$7.24

Step-by-step explanation:

it just is

Answer:

the equivalent expression is 1.1(1.3)^4 ×(1.3)^x

Answer:

d

Step-by-step explanation:

i took the test

She deposited $16,000 at 4% and $32,000 at 4.5%

She deposited $16,000 at 4% and $32,000 at 4.5%.

Let's assume Liza deposited an amount x at 4% interest. According to the given information, she deposited twice as much, which is 2x, at 4.5% interest.

To calculate the interest income from the deposits, we'll use the formula: Interest = Principal × Rate × Time.

At 4% interest, the interest earned is 0.04x (4% expressed as a decimal multiplied by x).

At 4.5% interest, the interest earned is 0.045(2x) (4.5% expressed as a decimal multiplied by 2x).

We know that the total annual interest income is $2080. Therefore, we can write the equation:

0.04x + 0.045(2x) = 2080

Simplifying the equation:

0.04x + 0.09x = 2080

0.13x = 2080

x = 2080 / 0.13

x ≈ 16,000

Liza deposited approximately $16,000 at 4% interest, and since she deposited twice as much at 4.5% interest, she deposited approximately $32,000 at 4.5% interest.

Therefore, she deposited $16,000 at 4% and $32,000 at 4.5%.

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Answer:

It does not restate the thesis.

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

Answer:

a) p=0.154

b) P(X≤2)=0.019

c) He can argue that the proportion of minority jurors is not representative of the proportion of that minority in the population.

Step-by-step explanation:

a) The proportion can be calculated dividing the number of jurors that are from the minority race by the total number of jurors:

\(p=X/N=2/13=0.154\)

b) We can model this with a binomial random variable, with sample size n=13 and probability of success p=0.47.

The probability of k minority jurors in the sample is:

\(P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{13}{k}\cdot0.47^k\cdot0.53^{13-k}\)

We have to calculate the probability that 2 or less minority jurors. This can be calculated as:

\(P(x\leq2)=P(x=0)+P(x=1)+P(x=2)\\\\\\P(x=0)=\dbinom{13}{0}\cdot0.47^{0}\cdot0.53^{13}=1\cdot1\cdot0.0003=0.000\\\\\\P(x=1)=\dbinom{13}{1}\cdot0.47^{1}\cdot0.53^{12}=13\cdot0.47\cdot0=0.003\\\\\\P(x=2)=\dbinom{13}{2}\cdot0.47^{2}\cdot0.53^{11}=78\cdot0.221\cdot0.001=0.016\\\\\\\\P(x\leq2)=0.000+0.003+0.016\\\\P(x\leq2)=0.019\)

The probability that 2 or less minority jurors is 0.019.

Answer: 1/4

Step-by-step explanation: Anything to a negative power is the same as the reciprocol to the absolute value of the power

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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Answer:

= 34

Step-by-step explanation:

(32)-5+7

32 - 5 + 7

= 32 + 2

= 34.

The calculated scale factor from ABC to A'B'C is 1/3

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

The triangles

From the triangles, we have the following parameters

A = (0, 3)

A' = (0, 1)

Using the above as a guide, we have the following:

Scale factor of the dilation = A'/A

So, we have

Scale factor of the dilation = (0, 1)/(0, 3)

Evaluate

Scale factor of the dilation = 1/3

Hence, the scale factor of the dilation is 1/3

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Answer:

The answer is not D it's A

Step-by-step explanation:

I just took the test

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

Answer:

144ft^3

Step-by-step explanation:

To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism

Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)

\(V=\frac{1}{2} (36)(8)\)

\(V=(18)(8)\)

\(V=144\)

Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)

Answer:

he should have bought 4-5 unless he under paid but i'd say he bought 4 polo shirts

Step-by-step explanation:

Answer:

(11,2)

Step-by-step explanation:

(8+3,11-9)

(11,2)

After the translations the point locates at (2, 5) and it is in first quadrant.

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

Given that, in the first quadrant, you start at (8, 11) and move 3 units right and 9 units down

The point moves 3 units right is (8+3, 11+3)

= (11, 14)

The point moves 9 units down is

(11-9, 14-9)

= (2, 5)

Therefore, after the translations the point locates at (2, 5).

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The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

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Ston:A

ep-by-step explnswer:

anati

Given the problem: Frank can type a 600-word essay in just 8 minutes. How many words can he type in 60 minutes (1 hour)?

So we know Frank can type 600 words in 8 minutes, we need to find how many words he can type in 60 minutes.

To do that, we will do 60/8, which gives us 7.5. This is how many times 8 minutes goes into 60 minutes. So next, we will do (7.5)(600), which equals 4,500. So Frank can type 4,500 words in 1 hour.

The statement that the Property damage liability pays for injuries to a driver or their passengers caused by an uninsured or underinsured driver is false.

Auto insurance policy is a contract between the insurance company and the person being insured which protects the person under any financial loss caused by accident or theft.

There are mainly six types of auto insurance coverage that the company basically provide.

They are Property damage liability, Bodily injury liability, PIP, Uninsured and underinsured motorist coverage, collision and comprehensive.

Property damage liability pays for the damage that the person insured causes to someone else's property, which include someone else's car, buildings or so.

The given coverage in the statement is the Uninsured and underinsured motorist coverage.

Hence the given statement is false.

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Using the properties of confidence interval and probability we can conclude from the observations that the process is not a statistical control process.

(a) The process is not a statistical process .

b) The control & chart is not in control because there some false alarm at 8-15. There are some special causes in the clata (may be in manufacturing) exist.

(c) (i) Given that Target length = 37 USL + LSL = 37 USL+2SL= 74

and Tolerance = 0.01 USL LSL = 0.01

After Solving equation 1 & 2 we get VSL = 37.005, LSL = 36.995

cp =2 × 0.01 6/0.05 × 2.059 = 0.01 ×0.1457 = 0.0686

(ii) Cp = min (Cpu, CP).

Cpu = 37.005-37 0.073 = 0.06849

CPL = 0.06859

Срк = 2 × 0.06849 = 0.024

The application of statistical methods to monitor and regulate the quality of a manufacturing process is known as SPC (statistical process control) or SQC (statistical quality control).

This increases the efficiency of the process, resulting in more specification-conforming goods with less waste (rework or scrap). SPC can be used to any process that can measure the output of a "compliant product" (a product that fulfils standards).

The primary tools of SPC are run charts, control charts, a focus on continuous improvement, and experiment design. Manufacturing lines are one example of a process that employs SPC.

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Answer:

Step-by-step explanation:

A = 1/2 b h

A2 = b h

b = 2A

      h

yikes i messed up like bad

Step-by-step explanation:

\( \sf{\dfrac{5( \fbox{41} - 32)}{9} = C}\)

\( \sf{\dfrac{5( \fbox{9})}{9} = C}\)

\( \sf{ \dfrac{45}{9} = C}\)

\( \sf{C = 5 }\)

So,

41° F = [5]°C

Answer:

Step-by-step explanation:

There are 36 ways 2 dice can be thrown. Sometimes colors are used to tell the difference between the dice.

36 comes from 6*6

Suppose you have 2 dice 1 blue and the other white

Blue      White

1              1

              2

              3

              4

              5

              6

There's 6 ways that have been thrown. Then you go to the blue dice being 2. You get six more. Then 3 gives you six more 4 gives you another six. and so on. The whole procedure adds to 36

you can throw a four 3 ways

Blue       white

1               3

3              1

2              2

You can throw 7 six ways

Blue         white

1                 6

6                1

2               5

5               2

3               4

4               3

So of the 36 ways to throw the dice 9 will successful. (6 + 3)

Answer: 9/36 = 1/4 times you will be successful