what is 3 to power of 2 -4 to the power of 5=

The probabilities are given as follows:

1. a. Exactly one hits the target: 7/20.

1. b. At least one hits the target: 31/40.

2. Health insurance is chosen: 0.57 = 57%.

The outcomes with exactly one person hitting the target are given as follows:

Hence the probability is obtained as follows:

p = 3/5 x 3/4 x 1/2 + 1/4 x 2/5 x 1/2 + 1/2 x 3/4 x 1/2

p = 9/40 + 2/40 + 3/40

p = 14/40

p = 7/20.

The probability that none hits the target is of:

3/5 x 3/4 x 1/2 = 9/40.

Hence the probability of at least one hitting is of:

1 - 9/40 = 40/40 - 9/40 = 31/40.

The percentages associated with health insurance are given as follows:

Hence:

p = 0.45 x 0.4 + 0.65 x 0.6

p = 0.57.

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Answer:

C

Step-by-step explanation:

\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ \frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{2x+1}\)

The denominator cannot equal 0, so:

\(2x+1 \neq 0 \implies x \neq -\frac{1}{2}\)

No, being Independent and being a swing voter is not disjoint that mutually exclusive.

As in 2012 Pew Research survey asked 2,373 randomly sampled registered voters ;

The 11% of respondents are  identified as both Independent and swing voters which means that there is overlap between the two groups, i.e. they are not mutually exclusive.

Some voters may identify as Independent and also as swing voters, meaning they are not independent in terms of political affiliation, but are still considered swing voters because they are not firmly committed to one political party.

Therefore, the categories of Independent and swing voter are not disjoint and can coexist for the same individual.

The given question is incomplete , the complete question is

A 2012 Pew Research survey asked 2,373 randomly sampled registered voters their political affiliation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.

Are being Independent and being a swing voter disjoint, i.e. mutually exclusive ?

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The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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The fine to be paid for the overdue book as given by the function is $4.50

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

To solve this, we simply need to find the value of n and then substitute it into the function.

Given that;f(n) = 1.5 + 0.5(n -1), find f(10 - 3). This becomes f(7)

Substitute 7 in place of nf(7) = 1.5 + 0.5(7 - 1)f(7)

= 1.5 + 0.5(6)f(7) = 1.5 + 3f(7)

= 4.5

The fine for the overdue book is $4.50

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Answer:

4.5

Step-by-step explanation:

God bless u all

Answer:

f(0) = 3

Step-by-step explanation:

We will use the first equation, since x = 0

The value of the equation for x is 32

PEDMAS is described as a mathematical acronym that represents the important operations during calculations.

The alphabets represents;

From the information given, we have;

-(-2)+√(-2)²-4(1)(-8)

expand the brackets

2 + -2 -4(-8)

multiply the values

2 -2 + 32

Add the values

32

Hence, the value is 32

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Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

The multiplication expression involving exponents with a product of 8 over 13 will be 8⁵ x 8⁸.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

For example, 5³ = 5² x 5 here we separate 5³ into 5² and 5 so it is called the law of indices.

The multiplication expression involving exponents with a product of 8 over 13 will be given as,

⇒ 8¹³

By the law of indices that \(\rm x^c = x^a + x^b\) such that c = a + b.

⇒ 8⁵ x 8⁸

The multiplication expression involving exponents with a product of 8 over 13 will be 8⁵ x 8⁸.

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Answer:

PR = 28

Step-by-step explanation:

Since PQRS is a rectangle, the diagonals PR and QS should have the same length. Therefore it holds:

\(9 x + 1 = 13 x - 11 \iff (13 - 9) x = 1 + 11 \iff x = \frac{12}{4} = 3\)

So, \(PR = QS = 9 \cdot 3 + 1 = 28\).

You meant PR, right? I don’t know what “tr” is.

Answer: 28 It’s the right Answer Good Luck‼️

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Dimensions of a cuboid = 3.6cm, 8.2cm and 11cm

As we know,

Volume of a cuboid = length × breadth × height

Therefore,

Volume of the given cuboid

= 3.6cm × 8.2cm × 11cm

\( = 3.6cm \: \times 90.2 {cm}^{2} \)

\( = 324.72 {cm}^{3} (ans)\)

Hello there! :)

V=lwh (length times width times height)

We are given that:

Length=3.6 cm

Width=8.2 cm

Height=11 cm

Plug the values into the formula for volume:

V=lwh

V=(3.6)(8.2)(11)

Multiply:

V=324.72 cm³ (cubic centimeters)

Remember, volume is measured in cubic centimeters.

Hope it helps. Please let me know if you have any questions.

~A smiley teen who adores helping others

\(MagicalNature :)\)

Answer:

The expression for the area of the shaded region is:

\(5x^2+7x-26\)

Step-by-step explanation:

The area of the shaded region of the given figure can be calculated by subtracting the area of the unshaded inner rectangle from the area of the outer rectangle.

The area of a rectangle is the product of its width and length:

\(\boxed{A=w \cdot l}\)

Therefore, the area of the inner (unshaded) rectangle is:

\(\begin{aligned}\sf Area_{inner}&=(x-3)(x-6)\\&=x^2-6x-3x+18\\&=x^2-9x+18\end{aligned}\)

The area of the outer rectangle is:

\(\begin{aligned}\sf Area_{outer}&=(2x+2)(3x-4)\\&=6x^2-8x+6x-8\\&=6x^2-2x-8\end{aligned}\)

Therefore, the area of the shaded region is:

\(\begin{aligned}\sf Area_{shaded\;region}&=\sf Area_{outer}-Area_{inner}\\&=(6x^2-2x-8)-(x^2-9x+18)\\&=6x^2-2x-8-x^2+9x-18\\&=6x^2-x^2+9x-2x-8-18\\&=5x^2+7x-26\end{aligned}\)

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

The complete proof are;

Suppose m ∠WOX ≠ 90°. By the definition of linear pair of straight line ∠ WOX is supplementary to ∠WOZ.

Therefore,  m ∠WOX + m ∠WOZ = 180°.

By the assumption and the substitution property of equality.

90° + m ∠WOZ = 180°.

Using the subtraction property of equality, the measure of angle WOZ is equal to 90°, which contradicts the given.

Therefore, the assumption is not true and m ∠WOX = 90°.

What are Supplementary angles?

The two angles are called supplementary angles when sum of both angles are 180 degree.

Given that;

m ∠WOZ = 90°

Now, The proof of m ∠WOX = 90° is given as;

Suppose m ∠WOX ≠ 90°.

By the definition of linear pair of straight line ∠ WOX is supplementary to ∠WOZ.

Therefore,  

⇒ m ∠WOX + m ∠WOZ = 180°.

By the assumption and the substitution property of equality.

⇒ 90° + m ∠WOZ = 180°.

Using the subtraction property of equality, the measure of angle WOZ is equal to 90°, which contradicts the given assumption.

Therefore, The assumption is not true and m ∠WOX = 90°.

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Answer:

The predicted price of a 9 room house is $925.3 K.

Step-by-step explanation:

The regression equation for predicting the appraised value (in thousands of dollars) from the  number of rooms for houses in East Meadow, New York is as follows:

\(\text{Value}=748+19.7\ \text{Rooms}\)

Compute the price of a 9 room house as follows:

\(\text{Value}=748+19.7\ \text{Rooms}\)

         \(=748+(19.7\times 9)\\\\=748+177.3\\\\=925.3\)

Thus, the predicted price of a 9 room house is $925.3 K.

The price of a 9-room house is (c) $252.262

The regression equation is given as:

\(\mathbf{y = 74.8 + 19.7 \times rooms}\)

For a 9-room house, we have:

Rooms = 9

Substitute 9 for rooms in the above regression equation

\(\mathbf{y = 74.8 + 19.7 \times 9}\)

Multiply

\(\mathbf{y = 74.8 + 177.3}\)

Add

\(\mathbf{y = 252.1}\)

The closest to this value is (c) $252.262

Hence, the price of a 9-room house is (c) $252.262

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Answer:

1560

Step-by-step explanation:

First (2 1/2)/(1/4) = (5/2)(4) = 20/2 = 10

Next, 3/(1/4) = 3(4) = 12

Lastly, (3 1/4)/(1/4) = (13/4) x 4 = 52/4 = 13

This means we need 10 rows of 12, 13 high. 10(12)(13) = 1560 cubes.

Another way is to multiply 2 1/2 x 3 x 3 1/4 = 5/2 x 3 x 13/4 = 195/8

A 1/4 inch cube is 1/4 x 1/4 x 1/4 for a volume of 1/64

(195/8)/(1/64) = (195/8)(64) = 1560 cubes.

Given: compound interest

Balance = P = $24,000

Time = t = 3 years

Rate = r = 3% = 0.03

Daily compounding, n = 365

so,

substitute with P, r, t, and n

So, the answer will be the balance after 3 years = $26,260

Answer:

Step-by-step explanation:

You just need to find the corresponding coordinates on the graph by using one of the coordinates and the graph.

4) Find f(0.8)

Find the point 0.8 on the x-axis and check the point the vertical line from that point crosses the graph. See what that point is on the y-axis.

This is point 1

The answer is 1, the point has coordinates (0.8, 1)

5) Find x when f(x) = 3

Find the point of the graph against 3 on the y- axis

And check what is corresponding point on x-axis, this is point 4

So the answer is 4, the point has coordinates of (4,3)

Answer:?

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Answer:

The answer is option C

Step-by-step explanation:

The solution is in the image

Answer:

Step-by-step explanation:

8x - 4y = 16

3x + 4y = 17

11x = 33

x = 3

12 - 2y = 8

-2y = -4

y = 2

(3, 2)

answer is C

Answer:

x-y=0

Hope this helped

Answer:

See below

Step-by-step explanation:

Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.

Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.

Answer:

84

Step-by-step explanation:

So,

1% of 1200 = 12

12x7 = 84

Answer:

 (x - 2) • (4x + 1)

Step-by-step explanation:

The required y-intercept for the given line on the graph is -1.

In the equation intercept is the value of the linear function where either of the variables is zero.

here,
From the graph, the line intersects the y-axis at (0, -1).
Since y-intercept is defined as the point of the y-axis over the coordinate plane where any line or curve intersects the y-axis.

So y - intercept = -1

Thus, the required y-intercept for the given line on the graph is -1.

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Consecutive angles in a paralleogram have sum 180

\(\\ \rm\rightarrowtail 5z+4+86=180\)

\(\\ \rm\rightarrowtail 5z+90=180\)

\(\\ \rm\rightarrowtail 5z=90\)

\(\\ \rm\rightarrowtail z=18\)

And

And

opposite angles are equal

Answer:

Here, given

present population = 20000

according to question,

population gets double every 34 years

i.e P = 20000 × 2

= 40000

now,

P = 40000

T = 68-34 = 34

ie, again p is double

so, P = 40000×2

= 80000

Hence, the population after 68 years from now is 80000

The most concerning potential source of bias in the provider's survey are the fact that they only reached 350 customers out of the 5,000 randomly selected phone numbers.

Generally, If the people who did not answer the phone or who could not be reached after three attempts have concerns about personal information being shared that are significantly different from those of the people who were reached, then the results of the survey may not accurately reflect the concerns of the entire customer base.

The service provider might attempt to find a means to reach a larger proportion of the phone numbers that were randomly picked.

For example, they could try phoning the customers more than once or use some other technique to get in touch with them. This would help eliminate this possible source of bias.

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