Standardized tests for certain subjects, given to high
Which of the following is the correct interpretation of P(X
school students, are scored on a scale of 1 to 5. Let X
> 4)?
represent the score on a randomly selected exam. The
distribution of scores for one subject's standardized test
• The probability of a of a randomly selected test having
is given in the table.
score of at most 4 is 0.36.
• The probability of a randomly selected test having a
Score
score of at least 4 is 0.36.
Probability
0.18
0.20
0.26
0.21
0.15
• The probability of a randomly selected test having &
score lower than 4 is 0.85.
• The probability of a randomly selected test having a
score higher than 4 is 0.15.


Answers

Answer 1

Answer: • The probability of a randomly selected test having a score higher than 4 is 0.15.

This is the correct interpretation of P(X > 4). P(X > 4) represents the probability of a randomly selected test having a score that is greater than 4. This is calculated by summing up the probability of all the scores that are greater than 4 in the distribution table.

Step-by-step explanation:


Related Questions

13. Solve for x. (show work)

Answers

Answer:

The value of x is 12.

i think it is correct.

1. Simplify the expression: [tex](2x^{2} y)x^{3}[/tex]
A. [tex]6x^{5} } y^{0}[/tex]
B. [tex]2x^{6} y^{3}[/tex]
C. [tex]6x^{5} y^{3}[/tex]
D. [tex]8x^{6} y^{3}[/tex]

Answers

Answer:

2·x^5·y

Step-by-step explanation:

2x^5y

IF YOU HELP ME WITH THIS YOU WILL GET 25 POINTS! LINKS=REPORTED!

Answers

Answer:

22. acute triangle

23. right triangle

24. equilateral triangle

25. right triangle

Step-by-step explanation:

let me know if any of these are wrong

If y is a quadratic function of x, which value completes the table?
(table in pic)

Answers

Answer:

44

Hope this helps.  :)

Answer:

48

Step-by-step explanation:

See the difference in y-values:

8, 12, 16

Next level difference is 4, so add 4 to 16:

4 + 16 = 20

Now add 20 to the last number:

20 + 28 = 48

The next number is 48

Which of the following is most likely the next step in the series?
O A.
B.
O c.
D.

Answers

Answer:

try the diamond see if that works sorry if its wrong

Triangle is  most likely the next step in the series, option D is correct.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The first polygon is hexagon which has 6 sides

The second polygon is Pentagon which has 5 sides

The third polygon is square which has 4 sides

As we observe one side is decreasing from the each polygon from 1st to 3

So the fourth polygon will have three sides which is triangle

Hence, triangle is  most likely the next step in the series, option D is correct.

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Given ƒ(x) = − x² – 14, find ƒ (6)

Answers

Answer:

f(6) = - 50

Step-by-step explanation:

substitute x = 6 into f(x) , that is

f(6) = - 6² - 14 = - 36 - 14 = - 50

Answer:

-50

Step-by-step explanation:

f ( x ) = - x² - 14

Accordingly, to find the value of f ( 6 ) you have to replace x with ( 6 ).

f ( 6 ) = - (6)² - 14

f ( 6 ) = - 36 - 14

f ( 6 ) = -50

What are the coordinates of the point on the directed line segment from
3. 2) to (77) that nartitions the segment into a ratio of 3 to 2?

Answers

Answer:

(4.6, 4)

Step-by-step explanation:

Given the coordinates (3,2) and (7, 7) partitioned between 3:2

M(X,Y) = [(ax1+bx2/a+b, ay1+by2/a+b)]

X = 3(3)+2(7)/3+2

X = 9+14/5

X = 23/5

X = 4.6

Similarly;

Y = 3(2) + 2(7)/3+2

Y = 6+14/5

Y = 20/5

Y = 4

Hence the required coordinate is (4.6, 4)

Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of the bag of groceries after any number of years. Predict when the bag of groceries will double in price.

Answers

Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is [tex]C=25(1.025)^x[/tex]

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

[tex]\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28[/tex]

It will take 28 years

What is the smallest positive integer that is both a multiple of $7$ and a multiple of $4$?

Answers

The smallest positive integer that is both a multiple of 7 and a multiple of 4, is 28 .

How to find the smallest positive integer ?

To find the smallest positive integer that is both a multiple of 7 and a multiple of 4, first find the multiples of both 4 and 7 to see which multiples are common between them and which are the lowest.

The multiples of 4 and 7 are:

Multiples of 4 :

4, 8, 12, 26, 20, 24, 28, 32, 36, 40,

Multiples of 7 :

7 , 14 , 21 , 28 , 35 , 42 , 49

The smallest positive integer that is both a multiple of 7 and a multiple of 4 is therefore 28.

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20 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y is > 7

Step-by-step explanation:

Any y value greater than 7 would make the product greater than 5. This can be looked at as y > 7. So y/7 can be rthough of as y divided by 7. 5 x y/7 can be though of as y * 5 divided by 7. Or 5y/7. To make this value 5, y must be 7. Since 7/7 is 1, and 1*5 is 5. If the number is greater than this it would have to be >7/7, since this would make it >1*5. So y must be >7. Hope this helps!

Answer:

9 (or anything above)

Step-by-step explanation:

5 x 9/7 = 45/7 = 6 3/7. Anything above would also work. Also, 8 and 7 work too

The sum of three consecutive integers is 27. Find the value of the greatest of the three.

Answers

Answer: The greatest of the three is 10.

Step-by-step explanation:

27/3=9 so the numbers will be around nine.

8+9+10=27

Answer:

Let x represent the value of the smallest of the three consecutive integers.

Then, the value of the middle integer is x+1, and the value of the greatest integer is x+2.

Since the sum of the three integers is 27, we have:

x + (x+1) + (x+2) = 27

Combining like terms, we have:

3x + 3 = 27

Subtracting 3 from both sides, we have:

3x = 24

Dividing both sides by 3, we have:

x = 8

Therefore, the value of the smallest integer is 8, the value of the middle integer is 8+1 = 9, and the value of the greatest integer is 8+2 = 10.

Thus, the value of the greatest integer is 10.

Step-by-step explanation:

Explain if the ordered pairs represent a function or not.
(1,2)(1,3)(2,4)(3,6)(0,0)(-1,4)

Answers

Not a function, the x values have different y values. In order for it to be a function, all the x values must have specific y values

i think its one but im not sure

Answers

Answer: Commutative property.

Step-by-step explanation: Basically, the commutative property can be expressed as a + b = b + a, which matches this scenario pretty well. You are correct.

Let me know if this is right! :)

HELP DUE IN 20 MINS!

x = ??

Answers

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

We know,

[tex]27 \times (x + 27) = 36 {}^{2} [/tex]

[tex]x + 27 = \dfrac{1296}{27} [/tex]

[tex]x + 27 = 48[/tex]

[tex]x = 21[/tex]

______________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

The function f(x) = StartRoot negative x EndRoot is shown on the graph. Which statement is correct?

Answers

The statement that is correct about the behavior of the given graph is; D:

The range of the function is all real numbers greater than or equal to 0.

How to interpret function graphs?

The graph of the function  is as shown in attached diagram.

The function is;

y = √-x

1. The domain of the function is defined the set of all possible input values for x. Therefore, upon close inspection of the graph, we can say that the domain of this function is;

x ∈ (-∞, 0]

2. The range of the function is defined as the set all possible output values for y. By closely inspecting the attached graph, we can say that  the range of this function is; y ∈ [0, -∞)

From the above, we can tell that the range of the function is all real numbers greater than or equal to 0.

Looking at the options, only option D can be said to be correct about the behavior of the given graph.

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The missing options are;

The domain of the function is all real numbers greater than 0.

The range of the function is all real numbers less than or equal to 0.

The domain of the function is all values less than 0.

The range of the function is all real numbers greater than or equal to 0.

Find the measure of

Answers

Answer:

80 I THINK, SORRY IF NOT RIGHT

Step-by-step explanation:

Please help me out tired want to sleep

Answers

Answer:

The approximate area by Riemann Sum of the curve is represented by [tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex].

Step-by-step explanation:

The area below the curve is estimated by the concept of Riemann Sum with right endpoint rectangles, which is defined by the following formula:

[tex]A = \left(\frac{\Delta x}{n} \right) \cdot \Sigma \limits_{t = 1}^{n} g\left (x_{o} + \frac{\Delta x}{n}\cdot t \right)[/tex] (1)

Where:

[tex]A[/tex] - Area below the curve, in square units.

[tex]n[/tex] - Number of rectangles, no units.

[tex]x_{o}[/tex] - Lower bound of the interval, in units.

[tex]\Delta x[/tex] - Length of the interval, in units.

[tex]t[/tex] - Summation index.

If we know that [tex]g(x) = 2\cdot x^{3} - 4[/tex], [tex]n = 10[/tex], [tex]x_{o} = 2[/tex] and [tex]\Delta x = 4[/tex], then the area below the curve is represented by the following equation:

[tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex]

What is 85 divided by 4973?

Answers

85/4973 = 0.01712

Step Move the decimal point three places to the left in the dividend (85): 0.085

Step 2: Divide 0.085 by 4973: 0.01712
Answer: 0.02

To solve 85/4973, how many times does 4973 go into 85? 0 so subtract 85 by 0, which is 0 and put a 0 with a decimal point on top of the division bar. Carry down a zero that make 85 transform to 850. How many times does 4973 go into 850? 0 so put a above the division bar and do 850 - 0 = 850. Carry a zero down making 850 into 8500. How many times does 4973 go into 8500? 1 so put it above the division bar and subtract 4973 from 8500 = 3527. Carry down a zero to make 3527 into 35270. How many times does 4973 go into 35279? 7 so write it above the division bar. Above the division bar, you should have 0.017. Round it to the nearest hundredth, which is 0.02 since 7 rounds up a number.

Find the explicit formula for an arithmetic sequence with a common difference of 8 and whose first term is -2.

Answers

The explicit formula for an arithmetic sequence whose common difference is 8 and the first term is -2 is

8 + (n - 1) * -2

What is arithmetic sequence?

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The sequence is given by the formula

nth term = a + (n - 1) * d

where a = first term

n = the term

d = common difference

In the problem, d = -2 and a = 8, because of this we have

= a + (n - 1) * d

= 8 + (n - 1) * -2

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simplify cos^2 A/1+sin A

Answers

Answer:

[tex]\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)[/tex]

Step-by-step explanation:

We want to simplify:

[tex]\displaystyle \frac{\cos^2(A)}{1+\sin(A)}[/tex]

Recall the Pythagorean Identity:

[tex]\sin^2(A)+\cos^2(A)=1[/tex]

So:

[tex]\cos^2(A)=1-\sin^2(A)[/tex]

Substitute:

[tex]\displaystyle =\frac{1-\sin^2(A)}{1+\sin(A)}[/tex]

Factor. We can use the difference of two squares pattern:

[tex]\displaystyle =\frac{\left(1-\sin(A))(1+\sin(A))}{1+\sin(A)}[/tex]

Cancel. Hence:

[tex]\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)[/tex]

There are three ways to solve a system of equations. Sometimes it is easier to use one method instead of another. Provide an example of three systems and explain what method should be used to solve and why it is the easiest method given the way the system is written.

Answers

Answer is graphing, substitution and elimination

Explanation

Graphing is easy if you have a graphing app like D e s m o s graphing calculator - where you can plug in the equations and find the point where they intersect.

Substitution works great when the equations are already in y intercept form, substitute one equation into the other for the value of a variable.

Elimination works best when the two equations have one variable that can be eliminated through adding together a same positive and negative variable, such as +2x and -2x

Find the length of the radius of the cylinder given the volume and height.
V=314
h = 25 ft
a. 1 ft
b. 2 it
C.5 ft
d. 12.3 it
I'll give Brainly

Answers

Answer:

b. 2 feet

Step-by-step explanation:

The formula for volume of a cylinder is: V=πr^2h

Start by plugging in what they give you

V=πr^2h

314 =π(r)^2(25)

314 = 25π(r)^2

divide both sides by 25π, which is 78.5

4 = r^2

take the square root of both sides

r = 2

Please please please help ASAP!!

Answers

Answer:

2*2*3*3*5

When these numbers are multiplied, the answer is 180.

During a fireworks display, one rocket went up and came down without exploding. The height of the rocket was described by the function, h(t)= − 16 t 2 + 88 t , where t = time in seconds and h(t) = height in feet. What was the maximum height reached by the rocket?

Answers

Answer:

121 feet

Step-by-step explanation:

By graphing the equation we can see the maximum y value is 121

Jenny babysits for $6)per hour plus $10 for taxi fare. Mary charges ($3 every ?half ?hour plus $15 in taxi fare.

Answers

Answer:

Step-by-step explanation:

122121

Will give brainliest if right

O D. The points seem to be clustered around a line.

Answers

Answer:

D. The points seem to be clustered around a line.

Step-by-step explanation:

The scatterplot points are spread out and forming a line, not around a point.

There are two outliers.

What is the coefficient of x² in 3x² 5 )( 4 4x² )? *?

Answers

The coefficient of the variable x² in the expression 3x² is 3 and 4x^2 is 4

The expression is 3x²

To find : The coefficient of the variable x² in the expression

Coefficient is the number that is beside the variable in the equation.

The coefficient of x in 3x²  is 3

A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6

As we can see that the term that is in multiplication with x²  is 3.

Hence, the coefficient of x²  in the equation 3x²  is 3.

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How do you draw a logarithmic graph?

Answers

Choose the range of values for the x-axis and the y-axis , Plot the points on the graph, using the logarithmic formula , Connect the points with a smooth curve and Label the axes and add any other details you want to include.

1. Choose the range of values for the x-axis and the y-axis. Select the minimum and maximum values for both the x-axis and the y-axis.

2. Plot the points on the graph, using the logarithmic formula. Use the formula log(x) = y to calculate the points that should be plotted on the graph. For example, if the x-axis range is from 1 to 10, and the y-axis range is from 0 to 10, then the first point would be (1,0).

3. Connect the points with a smooth curve. Once all the points have been plotted, use a ruler or a graphing calculator to connect them with a smooth curve.

4. Label the axes and add any other details you want to include. Use a ruler or a graphing calculator to label the axes and add any other details you want to include, such as a title, a legend, or a grid.

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What is the example of quadrant 2?

Answers

The example of Quadrant 2 is (-1, 1)

The term quadrant in math is called as the coordinate plane is divided into four equal parts by the intersection of the x-axis such as the horizontal number line and the y-axis such as the vertical number line.

Here we have to give the example for quadrant 2.

In order to find the example, first we have to know the definition and properties of quadrant 2.

The quadrant 2 is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the value of y-axis has positive numbers.

Therefore, the resulting coordinate for Quadrant 2 is written as,

=> (-1, 1)

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What is the surface area of the right cylinder pictured below with
measurements a = 5 cm, b= 20 cm? Leave your answer in terms of T.
a
b
A. 22517 cm
ООО
B. 250 cm2
C. 50 cm2
o
D. 100 cm2

Answers

Applying it's formula, the surface area of the given cylinder is:

B. S = 250pi cm²

What is the surface area of a cylinder?

The surface area of a cylinder with radius r and height h is given by the following formula:

S = 2pi(r + h)

For this problem, the dimensions are given as follows:

r = 5 cm, b = 20 cm.

Hence we apply these measures to the given formula, and the surface area in square centimeters is given as follows:

S = 2pi(r + h)

S = 2pi x 5(5 + 20)

S = 250pi cm²

Hence option B is the correct surface area.

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