A researcher wanted to test the claim that, "Seat belts are effective in reducing fatalities." A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2823 occupants not wearing seat belts, 31 were killed. Among 7765 occupants wearing seat belts, 16 were killed. If a significance level of 5% is used, which of the following statements gives the correct conclusion?

a. Since p >α we conclude that this data shows that seat belts are effective in reducing fatalities.
b. Since p <α, we conclude that this data shows that seat belts are effective in reducing fatalities U
c. Since p >α we conclude that this data shows that seat belts aren't effective in reducing fatalities.
d. Since p<α, we conclude that this data shes that seat belts aren't effective in reducing fatalities.

Answer:

Yes, it is.

Step-by-step explanation:

Answer:

Not a function.

Step-by-step explanation:

It is not a function because there are more than two points on the y coordinate line. This means that the y-coordinate is 0 in two different points. The points are (0,4) and (0,-1). Because the number 0 occurs twice, it is not a function. hope this helped

The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The speed of the second pedestrian is 5 kilometers per hour.

Let's say that the speed of the second pedestrian is S.

We know that the other pedestrian walks at a speed of 4km/h, and they (together) travel a distance of 27km in 3 hours, then we can write the linear equation:

(4km/h + S)*3h = 27km

It says that both pedestrians work, together, a total of 27km in 3 hours.

Now we can solve that linear equation for S, to do this, we need to isolate S in the left side of the equation.

4km/h + S = 27km/3h = 9 km/h

S = 9km/h - 4km/h = 5km/h

The speed of the second pedestrian is 5 kilometers per hour.

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Answer:

The answer is -1

Step-by-step explanation:

2^(2x+1) = 2^2x × 2^1 = 2^2x × 2

after this we can make appointments

2^x = t

and then solve it :)

The interest Pedro will have to pay is $5200

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

Principal = $32.500

Rate = 4% simple interest

Time = 4 years

The formula of simple iinterest is

I = Principal * Rate * Time

substitute the known values in the above equation, so, we have the following representation

I = 32500 * 4% * 4

Evaluate

I = 5200

Hence, Pedro have to pay $5200 as interest

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Jane has 6 - 14 - 12 = -20 boxes of beads left.

Jane initially had 6 boxes of beads.

She used 14 of those boxes to make face mask holders and gave 12 boxes to her sister.

To find out how many boxes of beads she has left, we need to subtract the boxes used and given away from the initial number.

First, let's calculate the total number of boxes used and given away:

Total boxes used and given away = Boxes used for face mask holders + Boxes given to sister

Total boxes used and given away = 14 + 12

Total boxes used and given away = 26

Next, we can subtract the total boxes used and given away from the initial number of boxes Jane had:

Boxes left = Initial number of boxes - Total boxes used and given away

Boxes left = 6 - 26

Boxes left = -20

The result is -20, which implies that Jane has a deficit of 20 boxes of beads.

This means she doesn't have any boxes of beads left; she has a shortage of 20 boxes based on the activities she performed.

It's important to note that having a negative value indicates that Jane doesn't have enough boxes to fulfill her activities.

If the result were positive, it would represent the number of boxes remaining.

However, in this case, Jane has used and given away more boxes than she initially had, resulting in a negative value.

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Answer:JL=MO

Source:trust me bro

Answer:31800grams

Step-by-step explanation:

Answer:

6+5/18

Step-by-step explanation:

the probability that both are blue;

4/9 × 3/8 = 6

the probability that only one is blue;

4/9 × 5/8 = 5/18

6 + 5/18

Probability is a branch of mathematics that deals with the occurrence of a random event.

The probability that at least one of the two counter is blue​ is  \(\frac{4}{9}\)

Probability of event to happen is calculated by using below formula,

   P(E) = Number of favourable outcomes / Total Number of outcomes.

Since, Bag contains 9 counters 4 of the counter are blue .

Probability of the both counter is blue​,

                     \(=\frac{4}{9}*\frac{3}{8}=\frac{1}{6}\)

Probability of only one is blue is,

                   \(\frac{4}{9}*\frac{5}{8}=\frac{5}{18}\)

Thus, the probability that at least one of the two counter is blue​ is,

                  \(\frac{1}{6}+\frac{5}{18}=\frac{3+5}{18}=\frac{8}{18}\\\\P=\frac{8}{18}=\frac{4}{9}\)

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C. the slope of the function is -3/4 and the y-intercept is 7.

D. y= -3/4x + 7 represents this function.

G. the function is decreasing.

Answer:

1). x = 2.67 units

2). x = 4.80 units

3). x = 6.00 units

Step-by-step explanation:

1). By applying Pythagoras theorem,

 Hypotenuse² = [Leg(1)]² + [leg(2)]²

  12² = x² + b² [Let the base of both the triangles = b units]

  144 = x² + b² ------(1)

  Similarly, 13² = (x + 3)² + b²

  169 = x² + 6x + 9 + b²

  169 - 9 - 6x = x² + b²

  160 - 6x = x² + b² ------(2)

  From equation (1) and (2)

  144 = 160 - 6x

  6x = 160 - 144

  x = \(\frac{16}{6}\)

  x = 2.67 units

2). By applying Pythagoras theorem,

  10² = x² + h² [Let the height of the triangle = h]

  100 = x² + h² ------(1)

  13² = (2x)² + h²

  169 = 4x² + h² -----(2)

  By substituting equation (1) from equation (2),

  169 - 100 = (4x² + h²) - (x² + h²)

  69 = 3x²

  x² = 23

  x = √23

  x = 4.795

  x ≈ 4.80 units

3). By applying Pythagoras theorem,

  9² = x² + h² [Let the height of the triangle = h units]

  81 = x² + h² ------(1)

  7² = (x - 4)² + h²

  49 = x² + 16 - 8x + h²

  49 - 16 = x² + h² - 8x

  33 + 8x = x² + h² -------(2)

  From equation (1) and (2)

  81 = 33 + 8x

  8x = 48

   x = 6.00 units

Answer: =0

Step-by-step explanation:

(10 - 3*3) - 1

(10 - 9) - 1

1-1

=0

We are asked to graph the following inequality:

the graph corresponds to the numbers that are smaller or equal to -6, that is, the numbers that are to the left of -6, like thi

The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

3/20.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of at bats in this problem is given as follows:

80.

In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

12/80 = 3/20.

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Answer:

180 !!

Step-by-step explanation:

Since the figure is in the opposite quadrant, that means we can immediately assume the answer is 180, since that forms a straight angle, and would turn to figure around that much

i hope this helps !

By identifying that it is a translation of the natural logarithm, we see that the function is:

g(x) = ln(x - 5).

We can see that the function has a logarithmic behavior. We know that the function:

f(x) = ln(x)

Has an asymptote at x = 0, and is equal to 0 for x = 1.

For our function, we can see that the asymptote is at x = 5 and the zero is at x = 6. So the graphed function seems to be the natural logarithm translated 5 units to the right.

Then the function graphed is:

g(x) = f(x - 5) = ln(x - 5)

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Answer:45

Step-by-step explanation:

The amount of trace element is 357.4 grams.

What is volume of cylinder?

The volume of a cylinder of radius r and height h is given by:

V = \(\pi r^2h\) unit cube.

In this problem, we have that the radius and the height are given, respectively, by:

Diameter = 19.4cm then radius = 9.7cm , h = 18.9cm.

Hence the volume of the cylinder in cubic centimeters is given by:

=> V= \(\pi *94.09*18.9 = 5584 cm^3\)

A water sample shows 0.064 grams of some trace element for every cubic centimeter of water, hence the amount of trace element is given by:

=> 0.064 x 5584 = 357.4 grams.

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The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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The rent per unit should be $8,354.22 to generate a Net Operating Income (NOI) of $100,000, given the vacancy rate and operating expenses.

The operating expenses are costs that must be deducted from the gross operating income to arrive at the net operating income.

The operating expenses do not include some period expenses, which are indirect costs.

                                                                                            Total

Rent per unit (per month) = $696.19 ($8,354.22/12)   $150,376

Vacancy Rate (5% of Potential Gross Income)                   7,519

Effective Gross Income                                                $142,857

Operating Expenses (30% of Effective Gross Income) 42,857

Net Operating Income (NOI)                                      $100,000

Number of Units 18

Gross operating income = net operating income + operating expenses

Operating expenses = 30% of effective gross income

Net operating income = 70% of effective gross income (100 - 30%)

= $100,000

Effective Gross Income (100%) = $142,857 ($100,000 ÷ 70%)

Vacancy rate = 5% of potential gross income

Effective Gross Income = 95% (100 - 5)

Potential gross income = $150,376 ($142,857 ÷ 95%)

Number of units = 18

Rent per unit = $8,354.22 ($150,376/18)

Rent per month = $696.19 ($8,354.22 ÷ 12)

Thus, a rent of $8,354.22 per unit can generate a Net operating income of $100,000.

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The standard deviation is $8,000. So, the standard deviation measured in thousands of dollars, is 8. and The mean is the average. So the average, measured in thousands of dollars, is 56.

Average salary: 56

Standard deviation of the salary: 8

$56,000 dollars is 56 thousand dollars.

$8,000 is 8 thousand dollars.

The mean is the average. So the average, measured in thousands of dollars, is 56.

The standard deviation is $8,000. So, the standard deviation measured in thousands of dollars, is 8.

complete question

Let X denote the average starting salary for 2014 U.S. college graduates, measured in dollars. Suppose that the average annual salary is $56,000 dollars, with a standard deviation of 8,000. Find the mean and standard deviation when salary is measured in thousands of dollars.

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==========================================================

Explanation:

The expression g(f(2)) has f(2) as the inner function.

Let's compute f(2)

This means we plug x = 2 into the f(x) function

f(x) = 4x^3 - 10

f(x) = 4(x)^3 - 10

f(2) = 4(2)^3-10

f(2) = 4*8-10

f(2) = 32-10

f(2) = 22

Now we'll plug this into the g(x) function

This is because g(f(2)) = g(22). I've replaced f(2) with 22

So,

g(x) = (3x-4)/2

g(22) = (3*22-4)/2

g(22) = (66-4)/2

g(22) = 62/2

g(22) = 31

Therefore, g(f(2)) = 31

The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 4x³ - 10

g(x) = (3x - 4) / 2

The function g(f(x)) is written as,

g(f(x)) = [3(4x³ - 10) - 4] / 2

g(f(x)) = [12x³ - 30 - 4] / 2

g(f(x)) = [12x³ - 34] / 2

g(f(x)) = [6x³ - 17]

The value of the function g(f(x)) at x = 2 will be given as,

g(f(2)) = [6(2)³ - 17]

g(f(2)) = 6(8) - 17

g(f(2)) = 48 - 17

g(f(2)) = 31

The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.

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Answer:

To calculate the monthly payments for each option, we can use the PMT function in Excel or a financial calculator.

For the new car option:

Loan amount = $31,000

Interest rate (annual) = 7.19%

Loan term = 3 years

Number of payments = 3 x 12 = 36

Using the PMT function in Excel, we get:

PMT(7.19%/12, 36, -$31,000) = $966.59

For the used car option:

Loan amount = $16,000

Interest rate (annual) = 5.89%

Loan term = 4 years

Number of payments = 4 x 12 = 48

Using the PMT function in Excel, we get:

PMT(5.89%/12, 48, -$16,000) = $385.36

The difference in monthly payments between the two options is:

$966.59 - $385.36 = $581.23

Therefore, the difference in monthly payments between financing the new car and financing the used car is $581.23.

Step-by-step explanation:

Answer:

36 feet :P

Step-by-step explanation:

4x9=36 habe a wonderful day love

Answer:

0.44. ??

Step-by-step explanation:

Answer:

B......................

Answer:

20 feet is the answer