Consequently, the solution of the given question of probability comes out to be P(x<5.67 = 0.63
What is probability?Probability fundamentals. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Here,
we use the z-score algorithm to answer this query.
Score Z = x - 40/5
x = the raw score
population mean= μ
Population standard deviation is σ
Hence,
x = 40 μ = 5.67, σ =5
Z = 5.67 - 40/5
z=0.37
Probability based on the Z-Table:
P(x<5.67 = 0.63
Consequently, the solution of the given question of probability comes out to be P(x<5.67 = 0.63 .
To know more about probability , visit
https://brainly.com/question/30034780
#SPJ1
What is the coefficient of x9 y3 in 2x − y 12?
The coefficients in the expression [tex]12x^{3} (2x^{3}) + y^{3}[/tex] are , coefficient of of x⁹ is 24 and coefficient of of y³ is 1 .
The Coefficients are defined as a multiplicative factor in some term of a polynomial , series or an expression , the coefficient is usually a number .
the expression is given as [tex]12x^{3} (2x^{3}) + y^{3}[/tex] ;
to find the coefficients we first simplify the expression ,
we get ;
= [tex]12x^{3} \times2x^{3} + y^{3}[/tex]
= [tex]24x^{9} +y^{3}[/tex] ;
so , the numerical term with x⁹ is 24 and the numerical term with y³ is 1 .
Therefore , the coefficient of x⁹ is 24 and the coefficient of y³ is 1 .
The given question is incomplete , the complete question is
What is the coefficient of x⁹ and y³ in the expression [tex]12x^{3} (2x^{3}) + y^{3}[/tex] ?
Learn more about Coefficients here
https://brainly.com/question/29004528
#SPJ4
5u > 30
solve for u
pls help
I need help, please help me
A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.
A. about 25%
B. about 20%
C. about 10%
D. about 5%
Answer:
About 20%
Step-by-step explanation:
The probability of a point on the un-shaded region will be given by;
Area of the shaded region/total area
Considering that the circles are of the same size, then the length of the square is 2d
Area of the square = 4d²
Area of the shaded = (4d² -4π(d/2)²
= 4d² -πd², but π = 22/7
= 6/7d²
Probability = (6/7d² ÷ 4d²) × 100%
= (6/28 d²) × 100%
= 21.42 %
So your answer is B. 20%
Don't thank me this was easy.
Help i will give brainiest
Answer:
your answer is going to be B: Obtuse
what is the theorem related to this triangle!!!! plss hurry up!!!!!
Answer:
Its an isosceles triangle..
Step-by-step explanation:
a triangle has an area of 240 square inches. the height of the triangle is 15 inches what is the length of the base of the triangle
Answer:
230.86 / 23.8 =9.7 inches-half of the base.
9.7 x 2 =19.4 inches-the length of the base.
Step-by-step explanation:
What is the 4th interval called?
The 4th interval is called perfect. It is also called consonant.
What is interval in mathematics?
In mathematics, interval means the gap between two particular numbers in where some numbers can be located. The numbers that are kept between two particular numbers are all real and their ranges must be maintained between two particular number.
What is the 4th interval called?The 4th interval is called perfect. The fourth interval is always consonant because it is maintained by earlier third and next fifth.
Other perfect intervals along with fourth are unison, fifth and octave. The intervals listed above are all consonant. The fourth interval is called perfect because it behaves just like the unison interval.
To know more about interval visit:
https://brainly.com/question/13832937
#SPJ1
Will mark brainliest if you have the full practice answers!!!
Mary graphed the movement of a car on a Ferris wheel. The path of the car was described by the equations x=2cost and y=sint. The graph that she drew is shown. Is her graph correct?
Answer:
1. D (x-5)^2-(y-2/2)^2=1
2. A
3. C No. The car travels counterclockwise in a circle at the origin with radius 2.
Step-by-step explanation:
Round 9,888,000 to the nearest whole number as needed
Idek :|
What is the value of the expression shown below?
-28+42-12+(-16) + 7
A.14
B. 7
C.-7
D.-14
Algebraically determine the inverse of the function f(x)= 12x2+5.
Answer:
Step-by-step explanation:
f(x)= 12x2+5 should be written as f(x) = 12x^2 + 5; the " ^ " symbol signifies exponentiation and is mandatory.
Here's how we find the inverse function.
1. Apply the horizontal line test. if a horizontal line intersects the graph in more than one place, the function is not one-to-one and does not have an inverse for all x. However, if we focus on only [0, infinity), this part of the graph does have an inverse, which we can find as follows:
2. Replace 'f(x)' with 'y: y = 12x^2 + 5
3. Interchange x and y: x = 12y^2 + 5
x - 5
4. Solve for y: 12y^2 = x - 5; y^2 = ------------
12
x - 5
y = √(----------)
12
Is 4 a polynomial or not?
The term given to us is 4 , this is a constant number therefore this cannot be regarded as a polynomial.
An expression is said to be a polynomial if it also contains a variable along with constants which are joined with each other through various mathematical operations. These expressions usually have more than one terms.
A polynomial can be of various degrees such as one degree , two degree based upon that they are known as linear , quadratic , cubic polynomial etc. Unlike terms are polynomial terms in which the variables are different and also the same variables with different powers. Contrary terms are two or more terms that are not synonymous.
To learn more about polynomials
brainly.com/question/29468186
#SPJ4
whats the area of this?
please show your work
REALY HELP ME PLEASE!!!!!!
The equation of line in slope intercept form is,
⇒ y = x - 2
When the graph is shift down 9 units.
Then, Equation of line become,
⇒ y = x - 11
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (2, 0) and (0, -2).
Now,
Since, The equation of line passes through the points (2, 0) and (0, -2).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 2 - 0) / (0 - 2)
m = - 2 / -2
m = 1
Thus, The equation of line with slope 1 is,
⇒ y - 0 = 1 (x - 2)
⇒ y = x - 2
And, When the graph is shift down 9 units.
Then, Equation of line become,
⇒ y = x - 2 - 9
⇒ y = x - 11
Therefore, The equation of line in slope intercept form is,
⇒ y = x - 2
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ1
SOME ONE HELP PLSSSS
which number line represents all of the values of x for the equation x2=100?
(picture below)
) In the first week of her school's fundraiser, Julie sold 6 items. By the end of the
fundraiser, Julie had earned a beach ball as a prize for selling more than 20 items.
Let x represent how many more items Julie sold after the first week of the fundraiser.
Which inequality describes the problem?
6 + x > 20
6 + x 2 20
Solve the inequality. Then, complete the sentence to describe the solution.
Julie sold more than
items after the first week of the fundraiser.
Answer:
6+x > 20
Step-by-step explanation:
solving the inequality-
subtract 6 from sides.
it is x> 14
Julie sold more than 14 items after the first week of the fundrai.
have a great Day!
The cost of an online newspaper is 7. 99 per month. If you buy a one year subscription the cost is 89. 88. How much do you pay each month if you choose the one year subscription
If we chosen the one year subscription we have to pay 7.49 per each month.
What is Linear Equation ?
Linear Equation can be defined as the equation in which the highest degree of the variable is one.
Given,
The cost of an online newspaper is 7.99
And if we bought the one year subscription the cost is 89.88
Let the the cost of the each month if we bought the one year subscription be x .
for one year the cost is 89.88
for one month could be
that is, x = 89.88/12
x = 7.49
Hence , If we chosen the one year subscription we have to pay 7.49 per each month.
To learn more about the Linear Equation from the given link.
https://brainly.com/question/12788590
#SPJ4
The table shows data for 4 cyclists during one day of training.
Complete the table by finding the rate of speed for each cyclist. Use the formula r = d ÷ t.
Cyclist Distance (mi) Time (hr) Rate (mi per hr)
Alisha 40 4
Jose 30 2
Raul 40 4
Ruthie 80 5
Rate of speed of each cyclist is:
Alisha 10mi/hr
Jose 15mi/hr
Raul 10mi/hr
Ruthie 16mi/hr
Data given of each cyclist;
Formula used: [tex]r=\frac{d}{t}[/tex]
here,
r=rate of speed
d=distance
t=time
Alisha: Distance=40mi; Time=4hr
applying the formula
[tex]r=\frac{d}{t} \\r=\frac{40}{4} =10mi/hr[/tex]
Jose: Distance=30mi; Time=2hr
applying the formula
[tex]r=\frac{d}{t}\\ r=\frac{30}{2} =15mi/hr[/tex]
Raul: Distance=40mi; Time=4hr
applying the formula
[tex]r=\frac{d}{t} \\r=\frac{40}{4}=10mi/hr[/tex]
Ruthie: Distance=80mi; Time=5hr
applying the formula
[tex]r=\frac{d}{t} \\r=\frac{80}{5} =16mi/hr[/tex]
Alisha= 10mi/hr
Jose= 15mi/hr
Raul= 10mi/hr
Ruthie= 16mi/hr
Learn more about speed-time relation:
https://brainly.com/question/26862717
#SPJ4
What is 20 percent in money
Answer:
0.2 out of 1
Step-by-step explanation:
Lets say you have $100
20% of that is 20
10% of that is 10
Answer:
I think its 5?
Step-by-step explanation:
Im not rlly 100% sure but i think all u have to do is just divide 100 by 20
Can u please help ………….
Answer:
x = 17
Step-by-step explanation:
the midsegment of a triangle is half the length of the third side, that is
DE = [tex]\frac{1}{2}[/tex] × BC = [tex]\frac{1}{2}[/tex] × 34 = 17
so x = 17
A neighborhood playground has an area of 3,025 square feet. Which is this area expressed in scientific notation?
Answer:
3.025 x 10³ sq ft
Step-by-step explanation:
Help. Lots of points
Answer:
A
Step-by-step explanation:
The two equations represents two lines that have the same slope, and so they are parallel.
this means that the two lines have no points in common
Answer:
A
Step-by-step explanation:
What value will make the equation true? Show your work or explain how you found your solution. - 2.1 - x = -1.5.
The answer of this problem is -0.6. I'm also gonna leave the solution to show you that it's correct.
HELPP
Simplify the square root of 38
Answer:
Hey there! So the square root of 38 can be simplified by breaking it down into simpler parts. We can use a technique called prime factorization. We need to find the largest perfect square that is a factor of 38 and extract it from the square root. So, we can express 38 as 219 and that means we have 2^2=4 as the largest perfect square. Therefore, we can simplify the square root of 38 as 2sqrt(19).
It can't be simplified anymore, but it gives us a more manageable form. Let me know if you have any more questions, I'm happy to help!
________________________________________________________
How can you determine if a number is a perfect square?A perfect square is a number that can be written in the form of n^2 (n raised to the power of 2) for some whole number n. For example 4, 9, 16, 25 and 36 are perfect squares. A way to determine if a number is a perfect square is by taking the square root of that number, if the result is a whole number it's a perfect square. Also, you can check it by finding the prime factorization of the number, if each of the prime factors appears in even power, it's a perfect square.
Are there any shortcuts for simplifying square roots?There are a few techniques that can make simplifying square roots quicker and easier:
Recognizing perfect squares (as described above) and extracting them from the square root
Using prime factorization to simplify the square root
Recognizing when the square root can be written as a rational number (a fraction of two integers)
Another way to approach is to factorise the radicand and combine any pairs of identical factors out from the square root.
Please let me know if you have any other questions on this topic or any other topic I could help with.
√38 is the simplest representation of the square root of 38.
The square root of a number is a value that, when multiplied by itself, gives the original number.
In the case of √38, we are looking for a number that, when multiplied by itself, equals 38.
Since 6 multiplied by itself is 36 and 7 multiplied by itself is 49, we can conclude that the square root of 38 lies between 6 and 7.
We cannot find a whole number that satisfies the equation √38 = x, where x is an integer.
Therefore, we express the square root of 38 as an irrational number, meaning it cannot be expressed as a simple fraction or a terminating or repeating decimal.
Hence, √38 is the simplest representation of the square root of 38.
To learn more on Square root click:
https://brainly.com/question/29286039
#SPJ6
Is (x 5) a factor of f(x) = x3 − 4x2 3x 7? explain your reasoning.
(x+5) is not a factor of f(x) because x = -5 does not satisfy the given equation f(x) = x³ - 4x² + 3x + 7.
Step 1. First we solve the equation x +5 = 0, we get
x = -5
Step 2. By putting the value of x = -5 in f(x) check whether we get a zero or a number other than zero.
If we get zero then x+5 is a factor of f(x) and if we get a number other than zero then x+5 is not a factor of f(x)
f(-5) = (-5)³ − 4(-5)² + 3(-5) + 7 = - 233
Since we got -233 and not 0. Therefore, (x+5) is not a factor of f(x).
To know more about number, here
https://brainly.com/question/17429689
#SPJ4
Sue ate one sweetie one day, and each day afterward she ate one sweetie more than she did the day before. How many sweeties did she eat during her first week?
Answer:
28
Step-by-step explanation:
1 + 2 + 3 + 4 + 5 + 6 + 7
Look at this set of 5 numbers:
1 2 2 2 8
By how much would the mean increase if the number 9 were added to the set?
Question: What are the characteristics of a normal distribution? Instruction: Choose all options that best answer the question. Standard deviation will be high The smaller the sample, the more the normal distribution takes on a bell curve Samples are indicative of the population Most values are close to the mean value
Answer:
Samples are indicative of the population .
Most values are close to the mean value.
Step-by-step explanation:
The normal distribution is characterized by two parameters mean and standard deviation.
The graph of the normal distribution is symmetrical bell shaped curve called the normal curve. The location and shape of the normal curve are determined by mean and standard deviation.
We see from the figure as the mean and standard deviation increase the spread and curve change.
FALSE: Standard deviation will be high. This is false because more than 50% of the values lie 1 standard deviation of the mean .When the data is clustered around the mean the standard deviation is low.
FALSE: The smaller the sample, the more the normal distribution takes on a bell curve
The sample size greatly affects the normal curve. The greater the sample size the more likely the distribution is bell shape or normal curve.
TRUE: Samples are indicative of the population .
The normal distribution population with mean and standard deviation has a normal sample with and standard deviation.
Most values are close to the mean value
TRUE: About 68% of values are within 1 standard deviation of the mean and around 95% of values are within 2 standard deviations of the mean in the normal distribution.
Which means more than 50% of the values lie 1 standard deviation of the mean.