How many people were surveyed for the bar graph below?

A. 17
B. 34
C. 21
D. 6

Answer:

69.72 inches.

Step-by-step explanation:

The best point estimate for the average height if males in the United States is...

For large samples, as we have here, the best point estimate is the sample mean. In this question, the sample mean is of 69.72 inches, so the answer is 69.72 inches.

For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.

f(x) = 7/8x² - 14

Substitute f(x) with 0 -

0 = 7/8x² - 14

Add 14 to both sides -

7/8x² = 14

Multiply both sides by 8/7 -

x² = 16

Take the square root of both sides -

x = ±4

Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.

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Answer:

w = 3/4 or w = -1/4

Step-by-step explanation:

3l4w - 1l - 5 = 1

Add 5 to both sides.

3|4w - 1| = 6

Divide both sides by 3.

|4w - 1| = 2

Set the inside of the absolute value equal to 2 and -2.

4w - 1 = 2 or 4w - 1 = -2

Add 1 to both sides.

4w = 3 or 4w = -1

Divide both sides by 4.

w = 3/4 or w = -1/4

Check w = 3/4:

3l4w - 1l - 5 = 1

3|4(3/4) - 1| - 5 = 1

3|3 - 1| - 5 = 1

3|2| - 5 = 1

6 - 5 = 1

1 = 1

w = 3/4 works.

Check w = -1/4:

3l4w - 1l - 5 = 1

3|4(-1/4) - 1| - 5 = 1

3|-1 - 1| - 5 = 1

3|-2| - 5 = 1

3(2) - 5 = 1

6 - 5 = 1

1 = 1

w = -1/4 works.

There are no extraneous solutions.

Answer: w = 3/4 or w = -1/4

It will take approximately 6.5 years for the prices of gasoline and oil to be equal. Option C

To determine how many years it will take for the price of gasoline and oil to be equal, we can set up equations for each scenario and find when their prices will intersect.

Let's denote the number of years as "t."

For gasoline, the price decreases at a rate of $0.03 every two months. Since there are 12 months in a year, the rate of decrease in dollars per year is (0.03/2) * (12/1) = $0.18. The equation for the price of gasoline in terms of years can be written as:

Price of gasoline = $2.27 - $0.18t

For oil, the price increases at a rate of $0.05 every six months. Again, converting this to dollars per year, we get (0.05/6) * (12/1) = $0.10. The equation for the price of oil in terms of years is:

Price of oil = $0.45 + $0.10t

To find the intersection point, we set the prices of gasoline and oil equal to each other:

$2.27 - $0.18t = $0.45 + $0.10t

Simplifying the equation:

$1.82 = $0.28t

t = $1.82 / $0.28 ≈ 6.5 years

Therefore, it will take approximately 6.5 years for the prices of gasoline and oil to be equal.

The correct answer is C) 6.5 years.

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Answer: 0.4255

Step-by-step explanation:

Given:  IQ scores of adults, and those scores are normally distributed

Mean: \(\mu=100\)

Standard deviation: \(\sigma= 15\)

Let X denotes the IQ of a random adults.

The area between 102 and 130 = \(P(102<X<130)=P(\dfrac{102-100}{15}<\dfrac{X-\mu}{\sigma}<\dfrac{130-100}{15})\)

\(=P(0.13<Z<2)\ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=P(Z<2)-P(Z<0.13)\\\\=0.9772- 0.5517\ [\text{By z-table}]\\\\=0.4255\)

Hence, area between 102 and 130 = 0.4255

Solution

For the function f(x) = 18x^2+ 15x - 10, find a when f(x) = 15.​

For this case we can do the following:

15 =18x^2+ 15x - 10

We can subtract 15 in both sides and we got:

18x^2 +15x -25=0

And we can apply the quadratic formula given by:

where a= 18, b= 15 and c= -25 and replacing we got:

And then the two solutiona are:

x= 5/6

x= -5/3

The equation that represents the cost, c, of n sets is c = 63.74n

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

Each volleyball set costs $63.74.

Let the total number of sets be n

So we have

Cost of n = 63.74 * n

This gives

c = 63.74n

Hence, the equation is c = 63.74n

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The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)

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

35/100,5/10,65/100

In the above sequence, we can see that 15/100 is added to the previous term to get the new term

This means that

First term, a = 35/100

Common difference, d = 15/100

The nth term is then represented as

f(n) = a + (n - 1) * d

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

f(n) = 35/100 + 15/100(n - 1)

So, we have

f(n) = 7/20 + 3/20(n - 1)

Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)

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Answer:

Answer:

3.5

Step-by-step explanation:

42/12=3.5

With given scaling factor, the length of the car as depicted in the blueprint is 4.5 inches.

What exactly is scaling factor?

A scaling factor is a number that multiplies each coordinate in a geometric figure to change its size. The scaling factor can be a fractional or decimal value or a whole number. When the scaling factor is greater than 1, it results in an enlargement of the figure, and when it is between 0 and 1, it results in a reduction or shrinking of the figure. In other words, a scaling factor determines how much larger or smaller the resulting figure is compared to the original figure.

Now,

If the scale factor is 1 inch = 20 feet, this means that every 1 inch on the blueprint represents 20 feet in real life. To find the length of the car as depicted in the blueprint in inches, we can set up a proportion:

1 inch / 20 feet = x inches / 90 feet

We can then solve for x by cross-multiplying:

20 feet * x inches = 1 inch * 90 feet

20x = 90

x = 4.5

Therefore,

                 the length of the car as depicted in the blueprint is 4.5 inches.

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Answer:

$16.10

Step-by-step explanation:

He spent $16.10 in total. Because 3.5 x 4.6 feet = 16.1

Answer:

$16.10

Step-by-step explanation:

3.50 x 4.6 = 14 + 2.10

When the y-value starts to decrease and the x-value remains constant over time, Y decreases and X increases to a consistent slope.

A consistent slope represents a constant rate of change between two variables, typically represented by the ratio of the change in y to the change in x.

When the y-value starts to decrease and the x-value remains the same over time, the consistent slope represents a negative correlation between y and x.

This means that as the value of y decreases, the value of x remains the same or may increase, depending on the context of the problem.

Therefore, the answer is option B: Y decreases and X increases.

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The dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

A box plot, sometimes called a box whisker plot, shows the distribution of a dataset graphically. The minimum value, the first quartile (25th percentile), the median (50th percentile), the third quartile (75th percentile), and the maximum value are the five main values used to standardise this method of displaying the distribution of data.

Two whiskers that extend from a rectangular box make up a box plot. The range of values between the first and third quartiles is represented by the box, which is known as the interquartile range (IQR).

From the given box plot we observe that the minimum value is 12 and the maximum value is 24.

Here, the median is 19.

From the information the two data set that have the corresponding values are:

12, 15, 15, 17, 19, 19, 20, 22, 24

12, 15, 17, 17, 19, 19, 22, 22, 24

The lower quartile is 15.

The upper quartile is 21.

Calculating the lower quartile for the data sets:

12, 15, 15, 17, 19, 19, 20, 22, 24

Lower quartile = 15

Hence, the dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

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Answer:

15:24, 20:32 and 40:64.

Step-by-step explanation:

hope this helps

Answer:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Step-by-step explanation:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Hello!

area

= 2*25 + (20 - 2)*(25-8)

= 50cm² + 306cm²

= 356cm²

Answer:

\( x = \frac{\sqrt{6}}{2} \)

Step-by-step explanation:

Reference angle = 45°

Opposite side = x

Hypotenuse = √3

Use the following trigonometric ratios formula to find x:

\( sin(\theta) = \frac{opp}{hyp} \)

Plug in the values

\( sin(45) = \frac{x}{\sqrt{3}} \)

Multiply both sides by √3

\( \sqrt{3}*sin(45) = x \)

\( \sqrt{3}*\frac{\sqrt{2}}{2} = x \)

\( \frac{\sqrt{3*2}}{2} = x \)

\( \frac{\sqrt{6}}{2} = x \)

m∡A = 70º

1) Considering that the Sum of the interior angles within a triangle is always 180º

2) We can write the following, and solve for x

x+80 + x +80 +40 = 180

2x +160 +40 = 180

2x + 200 = 180

2x =180-200

2x= -20

x=-10

3) So since angle A = x +80, we can plug it into that the value of x

m∡A = x +80º

m∡A=-10+80

m∡A = 70º

Answer:

22

-10

-16

-21

-32

Explanation:

On a number line, negative numbers are on the left and positive numbers are on the right. So, typically, the positive numbers would be less than the negative numbers.

Hope this Helps!

Therefore, Paxton will need to invest her money for approximately 21.62 years to increase her investment from $4850 to $8000 at a simple interest rate of 7.6% per year.

To determine how long Paxton needs to invest her money in order for it to increase to $8000, we can use the formula for simple interest:

I = P * r * t

Where:

I = Interest earned

P = Principal (initial investment)

r = Interest rate per year (expressed as a decimal)

t = Time (in years)

Given that Paxton invests $4850 at an interest rate of 7.6% per year, we have:

4850 * 0.076 * t = 8000

Simplifying the equation:

369.8t = 8000

To find t, we divide both sides of the equation by 369.8:

t ≈ 8000 / 369.8 ≈ 21.62 years

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A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.

In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;

y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.

Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).

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Answer:

it’s D dotted line with shading below

Step-by-step explanation:

i got it on my quiz

Answer:

set y = 0 to get the x intercept,,,,,,,,,,   0 = 2x -3 =    x = 3/2 or 1.5

Step-by-step explanation:

Answer:

x=-pie/12

sinxcosx=-1/4

multiply both sides by 2

sin2x = 2sinxcosx we know

now equation will be

sin2x = -1/2

2x=-pie/6

x=-pie/12

Answer:

List price (original price) = $350

Discount amount ($ saved) = $133

Step-by-step explanation:

The list price is the sale price ($217) divided by the difference of 1 minus the result of the discount (38%) divided by 100.

Answer:

Paired samples t- test is appropriate for Dean's hypothesis

Step-by-step explanation:

Given Data :

Student           1     2     3      4      5      6      7      8

Marketing      82  86   74    93    90    76   87   100

Finance         76   91    70    79    96     70  85   81

We are supposed to find the test which is appropriate for Dean's hypothesis

We are given the grades of two different subjects for same student

We perform the paired t test because the final grades for the Marketing and Finance  is taken for the same student.

So, Option B is correct

Hence Paired samples t- test is appropriate for Dean's hypothesis

Answer:

(-2)3+4divided(-15+9)(3)-4=====    -12

Step-by-step explanation:

I used a calculator, sorry for cheating brainly since I didnt use paper

Answer:

Assuming you mean a rectangular prism, cube, or triangular prism,the volume would be 384.

Step-by-step explanation:

Well volume for those two shapes could be b*h

SO base times height is always gonna give you volume for most shapes

Answer:

A. In 1991, there were 5.74 billion people

D. The carrying capacity of Earth is 64 billion people

Step-by-step explanation:

A. In 1991, there were 5.74 billion people

D. The carrying capacity of Earth is 64 billion people

The total population in 1991 were 5.74 billion and the population grow exponentially but then start decreasing so option (A) and (B) both will correct.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given that the expression  P(t)= 64/(1+11\(e^{0.8}\)t)

if you put t =1 for the year 1991 then it comes out to be around 5.74 billion.

And if you look at the nature of this graph then it will grow exponentially for a while but then start to decrease.

Hence A and B both will be correct.

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Answer:

9

Step-by-step explanation:

Ac = BD

3(x  - 3) = x + 3  Distribute the 3

3x - 9 = x + 3   Subtract x from both sides

2x - 9 = 3   Add 9 to both sides

2x = 12  Divide both sides by 2

x = 6

Plug 6 back into either expression to solve for the side length

3(x - 3)

3(6-3)

3(3) = 9

or

x + 3

6 + 3 = 9

Answer:

AC = BD = 9

Step-by-step explanation:

the diagonals of a rectangle are congruent , then

AC = BD , that is

3(x - 3) = x + 3 ← distribute parenthesis on left side

3x - 9 = x + 3 ( subtract x from both sides )

2x - 9 = x + 3 ( add 9 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

AC = 3(x - 3) = 3(6 - 3) = 3(3) = 9

BD = x + 3 = 6 + 3 = 9

that is AC = BD = 9