Choose the fractions that are greater than 1/2.
0 5/8
O 1/4
O 6/3
O 7/10
05/12
O 6/12


Answer:A & C

Step-by-step explanation:

f(5)& g(2)= 14; f(1) & g(0)= 2

The probability that the mean of their test scores is greater than 78 is 0.0301.

Given,

Mean = 73

Standard Deviation σ = 7.8

Number of students randomly selected = 24

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x.

The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

The number of standard deviations from the mean is called the z - score and can be found by the formula

Z = (x - μ)/σ.

Z = (70 - 73)/(7.8/√24) = -1.88442228

P(z < -1.88) = 0.0301

Therefore, P(z < -1.88) = 0.0301

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Answer:

40%

Step-by-step explanation:

Find the percent by dividing 220 by 550

220/550

= 0.4

So, he spends 40% of his monthly income on gas

Answer: 40%

Step-by-step explanation:

I  would put an explanation but I am supposed to be in class!

Answer:

Step-by-step explanation:

The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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Step-by-step explanation:

I4(-3)+5| +8(-3)

|-12+5| -24

7-24 = -17

Answer:

supplementary

Step-by-step explanation:

angles that are over 90° that over all equal to 180° are supplementary. 156° is over 90° and adding 24° is simple math, meaning 156+24=180

hope this helps

The mean salary for baseball players on the East Coast is the same as the mean salary for all professional baseball players.

What is the standard deviation?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. A low standard deviation means data are clustered around the mean, and a high standard deviation indicates data are more spread out.

A P-value of 0.78 indicates that there is a 78% probability that the mean salary for baseball players on the East Coast is the same as the mean salary for all professional baseball players.

Since this probability is not below the level of significance (usually set at 5% or 1%),

the correct conclusion for this test is that there is not sufficient evidence to reject the null hypothesis that the mean salary for baseball players on the East Coast is the same as the mean salary for all professional baseball players.

Therefore,  the mean salary for baseball players on the East Coast is the same as the mean salary for all professional baseball players.

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The manufacturer of thermostats needs at least 135 kanban containers to control the flow of materials efficiently in their packaging center.

In a kanban system, the flow of materials is controlled to ensure efficient production.

In this case, the packaging center processes 20 thermostats per hour and receives completed thermostats every 45 minutes.

Each container can hold 5 thermostats.

To calculate the number of kanban containers needed, we need to find the maximum number of containers required to keep the production line running smoothly.

First, we need to determine the number of thermostats produced per minute.

Since there are 60 minutes in an hour, the packaging center processes 20 thermostats per 60 minutes, which means they process 1/3 of a thermostat per minute (20/60 = 1/3).

Next, we need to calculate the time it takes to fill a container. Since the packaging center receives completed thermostats every 45 minutes, it takes 45 minutes to fill a container.

To find the number of containers needed, we divide the time it takes to fill a container by the production rate per minute.

So, 45 minutes divided by 1/3 thermostats per minute gives us 135 containers (45 / 1/3 = 135).

Therefore,

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Answer:

-67x + 10

Step-by-step explanation:

3x + 10(1 - 7x)

(use distributive property)

3x + 10 - 70x

(simplify)

3x - 70x + 10

-67x + 10

Answer:

-67x+10

Step-by-step explanation:

3x+10(-7x+10)

3x+10(-7x+10)

3x-70+10

______________

3x-70+10

-67x+10

The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.

Step 1: Move all the terms to one side of the equation to set it equal to zero:

2a^2 - 8a + 6 = 0

Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':

a = (-b ± √(b^2 - 4ac))/(2a)

Comparing with our equation, we have:

a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))

Simplifying further:

a = (8 ± √(64 - 48))/(4)

a = (8 ± √16)/(4)

a = (8 ± 4)/(4)

Now, we can calculate the two possible solutions:

a1 = (8 + 4)/(4) = 12/4 = 3

a2 = (8 - 4)/(4) = 4/4 = 1

Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

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Answer:

B. \(y = -\frac{11}{3}x - \frac{2}{3}\)

Step-by-step explanation:

The equation of a line is

y = mx + b

Since they gave us two points we could use it to find the slope(m) of the equation. The formula to find the slope of the line is:

\(m=\frac{y_{2} - y_{1} }{x_{2}-x_{1} }\)

They gave us the coordinate of the first point: (-2, 6), and the coordinate of the second point: (1, -4)

so, we plug in the x and y values into the slope formula:

\(m=\frac{-4-6}{1-(-2)}\)

\(m=\frac{-11}{3}\)

Since the answer choices all have different slope, we just have to look for the equation with the right slope which is \(\frac{-11}{3}\), so the answer is C.

Answer:

33.82

Step-by-step explanation:

8.9 x 3.8 would be 33.82

make brainliest if u want

Hope this helped :)

Answer:

use the website desmos, and type in the equation.

i'll try to explain the line to the best of my ability, it should be a downward line with a slope of 1/2

Answer:it has a slope 1/2

Step-by-step explanation:slope 1/2

A random selection of an Endure All battery has a 10.56% probability of lasting more than 550 hours.

The Z score is utilized to calculate how far the raw score deviates from the mean.

The Z score is calculated as follows:

z = (x - μ)/σ

Given that x > 550 and μ = 500, σ = 40:

z = 550 - 500 / 40

z = 1.25

Following the normal distribution chart,

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, there is a 10.56% chance that a randomly chosen Endure All battery would survive longer than 550 hours.

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Answer:

 s=19, r=30,c=11

Caroline is young

Step-by-step explanation:

Hope this helps !

Answer:

-1.5533

Step-by-step explanation:

-89 degrees x Pi/180 degrees

=-0.49444444444Pi rad

=-1.5533430342 rad

Therefore, the probability that the student did not pass the final exam given that they passed the course is approximately 0.0022 or 0.22%.

To find the probability that the student did not pass the final exam given that they passed the course, we can use Bayes' theorem.

Let's define the events:

A: Passing the final exam

B: Passing the course

We are given the following probabilities:

P(A) = 0.80 (probability of passing the final exam)

P(B) = 0.90 (probability of passing the course)

P(B|A) = 0.99 (probability of passing the course given that the student passed the final exam)

We want to find P(A' | B), which is the probability of not passing the final exam given that the student passed the course.

Using Bayes' theorem, we have:

P(A' | B) = (P(B | A') * P(A')) / P(B)

We know that P(A) + P(A') = 1, so P(A') = 1 - P(A).

Substituting the known probabilities, we get:

P(A' | B) = (P(B | A') * (1 - P(A))) / P(B)

Since P(A) = 0.80 and P(B) = 0.90, we can substitute these values:

P(A' | B) = (P(B | A') * 0.20) / 0.90

We are given that P(B | A) = 0.99, which means P(B | A') = 1 - P(B | A) = 1 - 0.99 = 0.01.

Substituting this value, we have:

P(A' | B) = (0.01 * 0.20) / 0.90

P(A' | B) = 0.0022

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Noote that the measure of angle R is 27°. Here is how we got that.

Since the largest triangle is right triangle, the vertical segment is the perpendicular bisector of right angle with vertex at the center of circle.

Then we have

m∠R + 18° = 90°/2

m∠R + 18° = 45°

m∠R = 45° - 18°

m∠R = 27°

Note that the angle on the top of the triangle is right angle, 90 deg. Its altitude is the vertical segment, which is also angle bisector. It bisects the right angle and each formed angle measures 90/2 = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See the attached iamge.

Answer:

y = 0x + 2

Step-by-step explanation:

First, plug the values in the formula.

y2 - y1 / x2 - x1     2-2/ -3 - 0

= 0

Now find the y-intercept.

y = 0x + b

2 = 0 (-3) + b

2 = 0 + b

2 = b

Answer:

D

Step-by-step explanation:

I took the test

Answer:The numbers are 162,164,166,168,

Step-by-step explanation:

The solution is in the attached

Answer: The numbers are 162,164,166,168,

Step-by-step explanation:

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer: 20.8

Step-by-step explanation: .

The correct answer is (b) 1. Relative frequencies should add up to 1.

In statistics, relative frequency refers to the proportion of times an event or category occurs relative to the total number of observations or occurrences. It is calculated by dividing the frequency of a specific event or category by the total number of observations. Since the relative frequency represents a proportion, it should add up to 1 or 100% when expressed as a percentage.

For example, if we have a dataset with 100 observations and we are interested in the relative frequency of two categories, A and B, let's say the relative frequency of A is 0.4 and the relative frequency of B is 0.6. When we add these two relative frequencies together (0.4 + 0.6), we get 1, which indicates that we have accounted for the entire dataset.

The sum of relative frequencies being equal to 1 is a fundamental property that ensures the completeness of the data. It guarantees that all the observations or occurrences have been accounted for and that the relative frequencies represent a valid representation of the dataset. Therefore, option (b) is the correct answer.

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Answer:

Plug the x and y values to get it

Step-by-step explanation:

The value of x from the given figure is 12 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔADC and ΔABC,

∠C=∠C (Reflex property)

AC=AC (Reflex property)

∠BAC=∠CDA=90°

By AA similarity, ΔADC ~ ΔABC

So, AC/BC = DC/AC

x/36 = 4/x

x²=36×4

x²=144

x=12 units

Therefore, the value of x from the given figure is 12 units.

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Answer:

x=10

Step-by-step explanation:

-18x + 30 = -150

subtract 30 from both sides = -18x=-180

divide both sides by -18 = x=10

x=10