Roger Drew one card from a standard deck of 52 cards. what is the probability that the card Roger Drew is not a club? remember all fractions have to be simplified.

If f(x) = 29:

Solve for x:

Divide both sides by 2:

Answer:

X✓X✓✓X

Step-by-step explanation:

Answer:

2/12

3/18

4/24

Step-by-step explanation:

The statement that best describes the effect on the graph of y=(x-9)² if the equation is changed to y = (x + 9)² is:O C. The graph moves left 18 units.

The graph shifts horizontally when the equation is modified from y = (x - 9)2 to y = (x + 9)2. The graph's points' x-coordinates are impacted by the inclusion of 9 inside the brackets.

The graph is moved 9 units to the left by adding 9 to the x-coordinate. As a result, the phrase "The graph moves left 18 units" is the most correct way to describe the effect on the graph.

Therefore the correct option is C.

Learn more about graph here:https://brainly.com/question/19040584

#SPJ1

The equation of the line that passes through (4, 3) and (-4, -1) is y = -x/2 + 5. So, correct option is A.

To find the equation of the line that passes through two given points, we use the slope-intercept form of a linear equation, which is:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line using the two given points. The formula for finding slope between two points is:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given points into the formula, we get:

m = (-1 - 3) / (-4 - 4) = -4/8 = -1/2

Now we know the slope, we can use one of the given points (4, 3) and substitute the slope into the slope-intercept form of the equation and solve for b.

y = mx + b

3 = (-1/2)(4) + b

3 = -2 + b

b = 5

Therefore, the equation of the line that passes through (4, 3) and (-4, -1) is:

y = -x/2 + 5

So, correct option is A.

To learn more about equation click on,

https://brainly.com/question/29255626

#SPJ1

Complete question is:

What is the equation of the line that passes through (4, 3) and (-4, -1)?

Choices:

y = -x/2 + 5

y=2x+7

y=x/2 +1

y= -x/2 +7

Answer:

22 students per class

Step-by-step explanation:

hope this helps :)

The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

For more such questions on cylinder

https://brainly.com/question/28247116

#SPJ8

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Answer:

A system of two linear inequalities in two variables is a set of two linear inequalities that involve two variables, such as x and y. A system of two linear equations in two variables is a set of two linear equations that involve two variables, also typically x and y.

There are several key differences between a system of two linear inequalities in two variables and a system of two linear equations in two variables:

Inequalities use symbols such as "less than" or "greater than" to indicate the relationship between the variables, whereas equations use the equal sign (=).

The solution to a system of linear inequalities is a region in the coordinate plane, whereas the solution to a system of linear equations is a single point.

The solution to a system of linear inequalities is found by graphing the inequalities on the coordinate plane and finding the region where they intersect, whereas the solution to a system of linear equations is found by solving the equations for the values of the variables.

The solution to a system of linear inequalities may include an infinite number of points, whereas the solution to a system of linear equations is always a finite number of points.

Overall, the main difference between a system of two linear inequalities in two variables and a system of two linear equations in two variables is the way in which the solutions are represented and found.

Answer:

25

Step-by-step explanation:

range = largest value - smallest value (123-25)

Answer:

b) -60

c) 98

d) -54

The complete table is drawn below , and from the table we can say that the  relationship between the number of days and the cost is proportional .

In the question ,

it is given that Charge for 20 days = 1400

So , the charge for 1 day = 1400/20 = 70

hence the charge for 15 days  =  15*70 =1050

given for amount 1400 the car can be rented for = 20 days

So, for amount 1 the car can be rented for = 20/1400 = 1/70 days

hence for amount 1820 the car can be rented for = 1820/70 = 26 days .

Therefore , The complete table is drawn below , and from the table we can say that the  relationship between the number of days and the cost is proportional .

Learn more about Proportional Relationships here

https://brainly.com/question/12917806

#SPJ1

Step-by-step explanation:

2 * (1/4) + (3/4)

= (2/4) + (3/4)

= 5/4 or 1.25.

Answer:

5/4

Step-by-step explanation:

First multiply 2 x 1/4

so you would do 2/1 x 1/4

and so that would give you 2/4

and then it would be 2/4 +3/4

and since they have the same denominator

add the numerator which will give you 5/4 or 1 1/4

For the given median, there are 50 students who scored greater than 72.

What is median?

The median is a measure of central tendency in a set of numerical data. It is the value that separates the higher half of the data from the lower half when the data is arranged in order from least to greatest or greatest to least.

We are given that 99 6th graders took a test and the median score was 72. We want to find out how many students scored greater than 72.

Let the scores be denoted by S1, S2, ..., S99. We can sort these scores in order from least to greatest:

S1 ≤ S2 ≤ ... ≤ S99

Since the median score is 72, exactly half of the scores are above 72 and half are below 72. Thus, the 50th score in the sorted list is 72.

Since there are 99 scores in total, we can approximate the number of students who scored above 72 by dividing the total number of students by 2:

\($\frac{99}{2} = 49.5$$\)

This means that approximately 49.5 students scored above 72.

Since 0.5 rounds up to 1, we round 49.5 up to 50. Therefore, approximately 50 students scored greater than 72.

To learn more about median visit:

https://brainly.com/question/26177250

#SPJ1

Answer:

\(a=4\)

Step-by-step explanation:

So we have the equation:

\(a+2a-1=11\)

First, combine like terms:"

\(3a-1=11\)

Now, add 1 to both sides:

\(3a=12\)

Divide both sides by 3:

\(a=4\)

And we're done!

if we  that Abby spent 50% of her time on School, 30% on Work, and 20% on Sleep, we can estimate that she spent:

100% - (50% + 30% + 20%) = 100% - 100% = 0% on Other.

If Abby divided her time into four categories (School, Work, Other, and Sleep), the percentage she spent on Other would be 100% less the sum of the percentages she spent on School, Work, and Sleep.

So, assuming Abby spending 50% of her time at school, 30% at work, and 20% sleeping, we can estimate she spent:

On Other, 100% - (50% + 30% + 20%) = 100% - 100% = 0%.

However, this is just a guess based on assumptions about how Abby spent her time. It's difficult to provide a more accurate estimate without more information.

To know more about spending visit:

brainly.com/question/15587297

#SPJ1

Step-by-step explanation:

Laurie read x+1/3 pages.

Mia read x pages.

Answer:

\((a)\ \bar x_1 - \bar x_2 = 2.0\)

\((b)\ CI =(1.0542,2.9458)\)

\((c)\ CI = (0.8730,2.1270)\)

Step-by-step explanation:

Given

\(n_1 = 60\)     \(n_2 = 35\)      

\(\bar x_1 = 13.6\)    \(\bar x_2 = 11.6\)    

\(\sigma_1 = 2.1\)     \(\sigma_2 = 3\)

Solving (a): Point estimate of difference of mean

This is calculated as: \(\bar x_1 - \bar x_2\)

\(\bar x_1 - \bar x_2 = 13.6 - 11.6\)

\(\bar x_1 - \bar x_2 = 2.0\)

Solving (b): 90% confidence interval

We have:

\(c = 90\%\)

\(c = 0.90\)

Confidence level is: \(1 - \alpha\)

\(1 - \alpha = c\)

\(1 - \alpha = 0.90\)

\(\alpha = 0.10\)

Calculate \(z_{\alpha/2}\)

\(z_{\alpha/2} = z_{0.10/2}\)

\(z_{\alpha/2} = z_{0.05}\)

The z score is:

\(z_{\alpha/2} = z_{0.05} =1.645\)

The endpoints of the confidence level is:

\((\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\)

\(2.0 \± 1.645 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}\)

\(2.0 \± 1.645 * \sqrt{\frac{4.41}{60}+\frac{9}{35}}\)

\(2.0 \± 1.645 * \sqrt{0.0735+0.2571}\)

\(2.0 \± 1.645 * \sqrt{0.3306}\)

\(2.0 \± 0.9458\)

Split

\((2.0 - 0.9458) \to (2.0 + 0.9458)\)

\((1.0542) \to (2.9458)\)

Hence, the 90% confidence interval is:

\(CI =(1.0542,2.9458)\)

Solving (c): 95% confidence interval

We have:

\(c = 95\%\)

\(c = 0.95\)

Confidence level is: \(1 - \alpha\)

\(1 - \alpha = c\)

\(1 - \alpha = 0.95\)

\(\alpha = 0.05\)

Calculate \(z_{\alpha/2}\)

\(z_{\alpha/2} = z_{0.05/2}\)

\(z_{\alpha/2} = z_{0.025}\)

The z score is:

\(z_{\alpha/2} = z_{0.025} =1.96\)

The endpoints of the confidence level is:

\((\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\)

\(2.0 \± 1.96 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}\)

\(2.0 \± 1.96* \sqrt{\frac{4.41}{60}+\frac{9}{35}}\)

\(2.0 \± 1.96 * \sqrt{0.0735+0.2571}\)

\(2.0 \± 1.96* \sqrt{0.3306}\)

\(2.0 \± 1.1270\)

Split

\((2.0 - 1.1270) \to (2.0 + 1.1270)\)

\((0.8730) \to (2.1270)\)

Hence, the 95% confidence interval is:

\(CI = (0.8730,2.1270)\)

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

Learn more about normal distribution here:

https://brainly.com/question/31327019

#SPJ1

Answer:

x=180-43-59=78

y=180-78=102

z=78-49=29

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I got this problem too and I got it correct

Answer:

i took the test⬇️

Answer:

the point (13, 22.6°) is almost exactly (12, 5) in Cartesian Coordinates.

Step-by-step explanation:

Answer:  

yes

Step-by-step explanation:

yes because 5 times 4 a

is 20 a and 5 times 7u is 35

Answer:

Yes

Step-by-step explanation:

If you were to give the variables a number value such as a=2 u=3

5(4*2+7*3)=145

20*2+35*3=145

They are equivalent

The third angles in the given cases are:a) 68°b) 79°c) 106°d) 120°e) 64°.

To calculate the third angle of a triangle in which two of the angles are given, we need to use the fact that the sum of all the angles of a triangle is always 180°. Let's use this fact to solve each case given:a) Two angles are given as 47° and 65°. To find the third angle, we subtract the sum of the given angles from 180°.

That is, third angle = 180° - (47° + 65°) = 68°.b) Two angles are given as 24° and 77°. Similar to the previous case, the third angle = 180° - (24° + 77°) = 79°.c) Two angles are given as 56° and 18°. The third angle = 180° - (56° + 18°) = 106°.

d) Two angles are given as 39° and 21°. The third angle = 180° - (39° + 21°) = 120°.e) Each of the two angles is given as 58°. To find the third angle, we subtract twice the value of one of the given angles from 180°. That is, third angle = 180° - (2 × 58°) = 64°.

for more question angles

https://brainly.com/question/25770607

#SPJ8

Answer:

Mostly correct

For Q3, you are doing great, you remembered that negative numbers can happen if the exponent is an odd number.

For Q4, I think you were confused with the fractions,

4(i)

\((\frac{2}{3} )^{4} = (\frac{2^{4}}{3^{4}}) = (\frac{16}{81}) =0.198\)

4(ii) is also wrong but I'll let you try to fix it yourself following what I given you for 4(i). You should get 1/64

Hope this helps!

Answer:

i = correct

ii = correct

iii = correct

iv = correct

4

i = 16/81 => 0.1975308642

ii= 1/64

Answer:

1 year

Step-by-step explanation:

1. Convert 10% into a z-score, using a calculator or whateva

2. Z = -1.281551 ( you can find this by doing the following equation: (x - mean) / (standard deviation)

3. Hence -1.281551 = (x - 4) / 2 or, x = 1.436898, ( rounded to the nearest year ) = 1 year

Answer:

First, we need to find the total volume of the spherical tank. We can use the formula for the volume of a sphere:

V = (4/3)πr³

We are given that the radius is 1 foot, 6 inches, which is 1.5 feet.

V = (4/3)π(1.5)³

V ≈ 14.14 ft³

To find the volume of propane in the tank when it is filled to 80%, we multiply the total volume by 0.8:

V_propane = 0.8 × 14.14

V_propane ≈ 11.31 ft³

We are also given that the tank contains 7,741,000 Btu of energy. To find the energy per gallon, we need to know how many gallons are in the tank. One gallon is equal to 231 cubic inches.

1 ft³ = 12³ = 1,728 in³

11.31 ft³ = 11.31 × 1,728 in³

11.31 ft³ ≈ 19,536 in³

19,536 in³ ÷ 231 in³/gal ≈ 84.5 gallons

So, the tank contains approximately 84.5 gallons of propane. To find the energy per gallon, we divide the total energy by the number of gallons:

7,741,000 Btu ÷ 84.5 gal ≈ 91,580 Btu/gal

Therefore, 1 gallon of liquid propane in the tank contains approximately 91,580 Btu of energy.

Answer:

correct answer is explained in the picture attached.

Answer:(B)0.250

because 0.250 is a very nice number so it would make sense for it to be the answer

Answer:

Step-by-step explanation: