Suppose X is normally distributed with a mean of 5 and a standard deviation of 0.4. Assume that P(X ≤ X₀) = P(Z ≤ 1.3). Which of the following equations should be solved to get the value of X₀?

Answers

Answer 1

For the standard deviation, from the equation find the value of X₀ is 10.2

What is Standard Deviation ?

The standard deviation measures the degree of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean (also known as the expected value) of the set, whereas a high standard deviation indicates that the values are dispersed over a wider range.

Given

Z = 1.3

μ = 5 , σ = 0.4

Now for  X₀

Z =    X₀ -X / σ

1.3 =   X₀ - 5 / 0.4

X₀ = 10.2

Hence, X₀ = 10.2

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Related Questions

Point V is on line segment \overline{UW}
UW
. Given UV=3UV=3 and VW=6,VW=6, determine the length \overline{UW}.
UW
.

Answers

Since the point V is located on line segment UW, the length of the line segment UW is 9 units

How to determine the length of the line segment UW?

From the question, we have the following parameters:

Point V is located on line segment UW

And the lengths are

UV= 3 units

VW = 6 units

Because the point V is located on line segment UW, then we have

UW = UV + VW

This gives

UW = 3 + 6

Evaluate the sum

UW = 9

Hence, the length of the line segment UW is 9 units

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What porcent of 96 is 36?

Answers

The percentage would be 37.5%.

Explanation: 36 is 37.5% of 96
The percent would be 37.5

Write the equation of the line that passes through the points (-3,-1) and (5, -1).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line. i need help

Answers

Answer:

y = -1

Step-by-step explanation:

Since the y-coordinates are the same, the equation is y=-1.

Use properties of exponents to write an equivalent expression. Write the
correct exponent for each box.

Answers

The correct exponent is 12  for the equivalent expression [tex]5^{12}[/tex].

Which are the Power Rules?

Knowing some of the main power rules.

   Multiplication with the same base: you should repeat the base and add the exponents.    Division with the same base: you should repeat the base and subtract the exponents.    Power. For this rule, you should repeat the base and multiply the exponents.    Exponent negative - For this rule, you should write the reciprocal number with the exponent positive.    Zero Exponent. When you have an exponent equal to zero, the result must be 1.

For solving this question, you should apply the power rule -  Multiplication with the same base - in the expression  

[tex]5^{10}[/tex]*5*5.

Here you have the same base (5), therefore you should repeat the base 5 and add the given exponents (10 +1 +1=12). Thus, the answer will be [tex]5^{12}[/tex].

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After it snows it takes Maria and her little sister Anita 1/2 of an hour to shovel the snow off of the sidewalks on their street. This is 2/3 of the time it takes Maria to do the same job by herself. How long does it take Maria to do this job by herself?

Answers

The time taken for Maria to do the job by herself is 3/4 of a hour which is 45 minutes.

How to compute the fraction?

It should be noted that it was stated that Maria and her little sister Anita used 1/2 of an hour to shovel the snow off of the sidewalks on their street and that this is 2/3 of the time it takes Maria to do the same job by herself.

Therefore, the time taken for Maria to do the job will be represented by x

Therefore, 2/3x = 1/2

Divide

x = 1/2 ÷ 2/3

x = 1/2 × 3/2

x = 3/4

Therefore, the time taken for Maria to do the job by herself is 3/4 of a hour which is 45 minutes.

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Pls help this is super confusing

Answers

B. It is that way because it is

please help
pic provided below
what can you tell about the mean of each distribution?

Answers

The information illustrated that A. there is a small difference in the mean number of stray cats placed in homes buy a new lease on life animal clinic each week and the mean number of stray cats placed in homes by no raft staff animal hospital each week.

What is a mean?

A mean or average is the ratio of the sum of observations to the number of observations.

For the first case:

Mean = (13*5 + 14*10 + 15*19 + 16*13 + 17*4)/75 = 10.21

For the second case:

Mean =(3*2 + 4*10 + 5*21 + 6*11 + 7*5 + 8*3)/33 = 10.48

Therefore, it should be noted that there is a small difference in the mean number of stray cats placed in homes buy a new lease on life animal clinic each week and the mean number of stray cats placed in homes by no raft staff animal hospital each week.

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find the cost of 200 shares of stock that sell for 11.3 per share

Answers

Thats just 200 times 11.3 so i believe 2260 is the answer!

Which equation does the graph of the systems of equations solve?

Answers

According to the equation does the graph of the systems of equations solve is B.

1/3x+1=2x-4 is correct.

What is Graph?

A graph is a structure consisting of a group of items, some of which are "linked." The objects are mathematical abstractions known as vertices, and each pair of connected vertices is known as an edge.

According to the given data:

It is evident from the graph that the two lines intersect at the location:

(3, 2).

To put it another way,

at x =3, y = 2

The point where two lines intersect is:

(x, y) = (3, 2) (3, 2).

Now,

x = 3 is the point  of the x-coordinate

y = 2 is the point of the y-coordinate

Now, examine the equation, 1/3x+1=2x-4, to see if it contains the correct x-coordinate value.

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

subtracting 1 from both side:

(1/3)x + 1 -1  = 2x -4 -1

We get:

(1/3)x = 2x -5

subtract 2x from both sides:

(1/3)x -2x = 2x -5 -2x

We get:

-(5/3)x = -5

on simplifying the equation we get:

x = 3

the value of x = 3

this show that the 1/3x+1=2x-4 is correct.

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The price of a coat is reduced by 15% in a sale.
If the table originally cost £80, what is it’s sale price

Answers

Answer:

68

Step-by-step explanation:

The formula for this equation is %/100 x original cost. The equation then is 15/100 x 80. Cut the zero from the 80 and 100 making the equation 15/10 x 8. divide the 15/10 which is 1.5. The final equation is 1.5 x 8 which is 12. This isnt the answer this is the price reduction which means u also have to do 80 - 12 which means the final answer is 68

For ()=‾‾√, use the values of (144) and (169) to estimate the value of 155‾‾‾‾√.

Answers

The square root of 155 is estimate according to the following compound inequality:

12 < sqrt(155) < 13.

What is a compound inequality?

A compound inequality is a combination of multiple inequalities, at least two, involving operations such as and and or, explained below.

The and operation between multiple sets is composed by the elements that belong to all the sets.The or operation between multiple sets is composed by the elements that belong to at least one of the sets.

Hence one example of a compound inequality is:

a ≤ x ≤ b.

Which is read as follows:

x is greater or equal than a and less or equal than b.

For this problem, we have that:

12² = 144, hence sqrt(144) = 12.13³ = 169, hence sqrt(169) = 13.

Considering that 155 is between 144 and 169, and the square root function is increasing over it's entire domain, the square root of 155 is estimate according to the following compound inequality:

12 < sqrt(155) < 13.

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Solve please it is for homework

Answers

Step-by-step explanation:

a) 4

b) 4

c) 4

d) DNE

why is that ? as there is a hollow dot in the curve exactly at x = -3, there is no defined functional value for x = -3.

but it is only this one specific dot that is excluded. so, the lim calculation can still use it for a) - c). although it changes direction there, it is still the same coming from left or from right. and therefore it is the same limit overall.

e) 1

f) -1

g) DNE

h) 1

at x = 0 the function has a jumping discontinuity. therefore, the limits are different when coming from left or from right. and because of this difference, the general limit does not exist. the functional value at x = 0 is part of the curve coming from the left.

i) 2

j) DNE

similar to a) - d). the point (but only the single point) at x = 2 is excluded from the function and has no assigned functional value. nevertheless, it can still be used for the limit calculation.

k) it is not very well to see in the picture. when coming from the right, it appears to be 3.

but it might be possible that it goes further down to 2.

l) similar to k) it is not good to see in the picture. when coming from the left, is the wild "swinging" ending at 2 ? or going back up to 3 to meet the functional curve of k) ?

I would suspect it is 3, but it could be 2.

you need to decide k) and l) when you look at your original, because the picture is too fuzzy to be sure.

f(x)=cos(x). Find the x-intercepts of f(x) on [0, 2).

Answers

The x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2

What is the x-intercept of the function?

The x-intercept of the function is the point or points where the graph of the function crosses the x-axis i.e. the point where the function equals 0

How to find the x-intercepts of the function?

The function is given as

f(x) = cos(x)

And the interval is given as

[0, 2)

The above means that we determine the value of x when the function f(x) equals 0

So, we have

cos(x) = 0

The above equation can be solved graphically

See attachment for the graph of the function f(x) = cos(x)

In the interval [0, 2), the graph crosses the x-axis at points x = π/2 and 3π/2

Hence, the x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2

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Is 0.375 rational or irrational

Answers

Rational numbers can be written as fractions. 0.375 can be written as a fraction. Therefore it’s a rational number.

0.375 is a rational numbers.

What are rational numbers?

A rational number is any number that can be expressed as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, where the denominator of the fraction is not equal to zero.

0.375 can be written as a fraction.

0.375 = 375/1000

Therefore 0.375 is a rational number.

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Please please look at the picture and help me with this

Answers

Step-by-step explanation:

ur right because y is pumpkin 3 is the slope and x is the apple

Help! I'm confused with this. Hurry!!! I have to turn it tomorrow

Answers

You would use subtraction to solve this problem:

50.00
-36.85

=13.15

Answer:

Do 50.00-36.85 and boom ur answer

Even has 532 blocks.He divides them into 46 boxes. What is the quotent?

Answers

Answer:

532/46=11.565217

Step-by-step explanation:

i think its help u

Answer:

11.57 or 11 is the quotient. This depends if hundredths can allowed or not.

Step-by-step explanation:

Even would take the 532 blocks and divide it by 46 thus getting 11.565...

Hopefully this helped! Take a break and have a great day! :D

2) An exam worth 145 points
contains 50 questions. Some of
the questions are worth two
points and some are worth five
points. How many two point
questions are on the test? How
many five point questions?

Answers

The exam has 35, 2-point questions, and 15 5-point questions solved by linear equations.

A linear equation is an equation with only one variable. It has the formula Ax + B = 0, where A and B can be any two real values, and x is an unsolved variable.

Let us assume there are x 2-points question, so there are x-50 5-points question .

Hence total no of points: 2×x+5×(50-x)=145 points

This forms a linear equation in x.

Now let us solve the linear equation in x to get the number of 2 mark questions.

2x+250-5x=145

or, -3x=-105

or, x=-105/-3

or, x=35

There are 35 2-points questions

Remaining questions 50-35=15

Hence there are 15 5-points questions.

Solving the linear equation we get 35 2 point questions and 15 5 point questions.

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A triangle has three interior angle measures; x is the largest angle, y is the next largest angle, and z is the smallest angle.

The measure of the largest angle is 40 degrees less than the sum of the measure of the other two angles.
The largest angle is twice the smaller angle minus 30 degrees.
The sum of the triangle's interior angles is x + y + z = 180.

Which two equations represent the remaining angle relationships?

Select each correct answer.


x = y + z + 40
x, = , y, + , z, + 40

x=2z−30
x equals 2 z minus 30

x=30−2z
x equals 30 minus 2 z

x=y+z−40
x equals y plus z minus 40

x=y−z+40

Answers

The equations that represent the remaining angle relationships will be D. x=y+z−40

x equals y plus z minus 40

How to illustrate the information?

It should be noted that the measure of the largest angle is 40 degrees less than the sum of the measure of the other two angles.

This will be x = y + z - 40.

Also, the sum of the triangle's interior angles is x + y + z = 180.

Therefore the correct option is D.

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A moped travel 25 miles in two hours at this rate how many miles with the moped travel in 1/2 hour

Answers

Moped travels a distance of  6.25 miles in 1/2 hours at the given rate.

What is the distance?Distance is a numerical or qualitative measurement of the distance between two objects or points. The distance can refer to a physical length or an estimate based on other criteria in physics or everyday usage (e.g. "two counties over").

The moped travels 25 miles in 2 hours.

So, distance traveled in 1 hour: 25/2 = 12.5 milesThen, the distance traveled in 1/2 hours that is 30 minutes: 12.5/2 = 6.25 miles

Therefore, a Moped travels a distance of  6.25 miles in 1/2 hours at the given rate.

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Evaluate the function.
f(x)=-x²-8
Find f(4)

Answers

Answer: 8

Step-by-step explanation:

The answer is 8 because you simply replace x with 8.

f(8)=-4^2-8

-4 times -4 equals 16 and then you do 16-8 which is 8. The answer is 8.

Answer:

give brainliest to other person, I read the question wrong lol

Simplify the expression: 6 + 2(3d² + 4) − d²​

Answers

Answer:

5d^2 + 14

Step-by-step explanation:Distribute

6 + 2(3d^2+4) -1d^2

Add the numbers

14 + 5d^2

Rearrange terms

5d^2 + 14

Sol. : 5d^2 + 14

Find an expression for the perimeter of the figure.

Answers

Answer:

10z+20

Step-by-step explanation:

The perimeter is the sum of all the side lengths.  Starting at the top left corner and going clockwise:

2z+z+5+10+5+z+2z+4z

Combine like terms

2z+z+z+2z+4z+5+5+10

10z+20

Answer:

16z+10

Step-by-step explanation:

The explanation is in the attached file below

Here is a theorem: If A:B with B isn't equal to 0 and C:D with D isn't equal to 0 are equivalent, then they have the same value:A/B = C/D. This is essentially stating that if two ratios are equivalent, then their values are the same (when they have values). Can you provide any counterexamples to the theorem above?​

Answers

Examples of the given theorem are [tex]\frac{2}{4} \ \& \ \frac{3}{6}[/tex] , [tex]\frac{4}{16} \ \& \ \frac{8}{32}[/tex]  and so on .

Equivalent fractions can be defined as fractions that have different numerators and denominators but represent the same value. Two or more fractions are said to be equivalent if they simplify to the same fraction. Equivalent fractions are fractions that have the same value regardless of the numerator and denominator.For example, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which on simplification, result in the same fraction, that is, 1/5.

According to the theorem .

if two ratios are equivalent, then their values are the same .

Let one ratio be [tex]\frac{2}{4}[/tex] and other be [tex]\frac{3}{6}[/tex] .

On simplifying and equating these ratios , we get

           [tex]\frac{2}{4} =\frac{3}{6} \\\\\frac{1}{2} =\frac{1}{2}[/tex]

As the ration is same hence [tex]\frac{2}{4} \ \& \ \frac{3}{6}[/tex] are equivalent fractions .

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What is the total distance that two people travel in 3 h if one of them is riding a bike at 17 mi/h and the other is walking at 2 mi/h?

Answers

Answer:

the one riding a bike went a total distance of 51 miles and the person walking went 6 miles

Step-by-step explanation:

17 x 3 = 51

2 x 3 = 6

can somone help me with these fractions will give u brainliest :'(

Answers

Answer:

9/5=1/4/5

7/3=2/1/3

12/10=1/1/5

If the price-demand equation for milk is q = 4,800 600p, find the price that will pro-
duce revenues of
(A) $9,300 (B) $10,500

Answers

Answer:

Probably A!

Step-by-step explanation:

Please Hurry !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The prepositional phrases that are in the sentences include:

In his hands.

To cheer

To the pinata.

With candy.

What is a preposition?

To indicate direction, time, place, location, spatial relationships, or to introduce an object, a preposition is a word or set of words used before a noun, pronoun, or noun phrase. Prepositions include phrases like "in," "at," "on," "of," and "to."

Prepositions, their objects, and any words used to modify the objects make up a prepositional phrase. A prepositional phrase usually modifies a verb or a noun.

Therefore, the prepositional phrases that are in the sentences include:

In his hands.

To cheer

To the pinata.

With candy.

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Find the circumference and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary. (5,3) (2,1)

Answers

The area and circumference of a circle is 40.8cm² and 22.6 cm respectively.

What is meant by a circle's circumference?

The distance along a circle's perimeter is referred to as its circumference. In other words, the circumference of a circle is equal to the length of a straight line formed by opening up the circle.

AB = r = √(5-2)²+(3-1)²

r = √9 + 4

r = √13

r = 3.605

Determine the circumference

C = 2(3.14)(3.605)

C = 22.6394

Hence the circumference of the circle is 22.6 cm

Determine the area

Area = πr²

Area = 3.14 * 3.605 * 3.605

Area = 40.8cm²

Hence the area and circumference of a circle is 40.8cm² and 22.6 cm respectively.

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7th grade!!!!
Pls show work ty :]
Will give brainliest ty!!!​

Answers

5.625

I can't really show my work bc since I'm in high school we don't solve division problems on paper we use a calculator so I forgot how to do it normally

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