Answer:
(1) The first quartile of standard normal distribution is -0.67.
(2) The third quartile of standard normal distribution is 0.67.
(3) The percentage of the observations in the standard normal distribution that are suspected outliers is, 0.74%.
Explanation:
A standard normal distribution has mean 0 and variance 1.
(1)
The first quartile of any data is the value below which 25% of the data lie.
That is, P (Z < z) = 0.25.
The value of z is -0.67.
Thus, the first quartile of standard normal distribution is -0.67.
(2)
The third quartile of any data is the value below which 75% of the data lie.
That is, P (Z < z) = 0.75.
The value of z is 0.67.
Thus, the third quartile of standard normal distribution is 0.67.
(3)
In case of a standard normal distribution values lying outside the range
(Q₁ - 1.5 IQR, Q₃ + 1.5 IQR)
are considered as outlier.
Compute the range as follows:
Compute the probability of (Z < -2.68) and P (Z > 2.68) as follows:
The probability of a value being an outlier is,
P (Outlier) = P (Z < -2.68) + P (Z > 2.68)
= 0.0037 + 0.0037
= 0.0074
The percentage of the observations in the standard normal distribution that are suspected outliers is, 0.0074 × 100 = 0.74%.
Step-by-step explanation:
Hope this helped...
A slice is made perpendicular to the base of a right rectangular pyramid through the vertex. What is the area of the resulting two-dimensional cross section? Enter you answer in the box.
Area is a measure of space occupied in 2 dimensions. The area of the considered two dimensional cross section is:
[tex]\dfrac{1}{2}L.h \: \rm unit^2[/tex] (if cross section is with respect to length)[tex]\dfrac{1}{2}W.h \: \rm unit^2[/tex] (if cross section is with respect to width)[tex]\dfrac{1}{2}D.h \: \rm unit^2[/tex] (if cross section is with respect to diagonal)What is a cross section?When some high dimensional object is sliced by hyperplane, then the area of the intersection of the hyperplane with the object is the cross-section.
For the given case, the right rectangular pyramid sliced will be having a triangle with height same as that of the pyramid but base equal to either length or the width of the base rectangle, or the diagonal.
Thus, if we consider: L = length of base, W = width of base , D = diagonal's length of the base of the rectangular pyramid, with the height h units, then we get the cross section's area as:
[tex]\dfrac{1}{2}L.h \: \rm unit^2[/tex] (if cross section is with respect to length)[tex]\dfrac{1}{2}W.h \: \rm unit^2[/tex] (if cross section is with respect to width)[tex]\dfrac{1}{2}D.h \: \rm unit^2[/tex] (if cross section is with respect to diagonal)Learn more about area of cross-section here:
https://brainly.com/question/3381704
I need help. I will give 15 points for the answer
Find the magnitude of
the vector <5, - 3>.
A. 6.1
B. 5.2
C. 4
D. 5.8
Answer:
5.8
Step-by-step explanation:
[tex] \sqrt{ {5}^{2} } + \sqrt( { - 3}^{2} )[/tex]
[tex] \sqrt{25 + 9} [/tex]
[tex] \sqrt{34} [/tex]
5?8
Can the sides of a triangle have lengths 5, 14, and 19?
Answer:
No
Step-by-step explanation:
Add two sides together and see if it is greater than the third. (You have to do this with all possible combinations)
5 + 14 > 19
19 > 19
No, it isn't a triangle
14 + 19 > 5
23 > 5
19 + 5 > 14
24 > 14
can somebody help me with this please
Answer:
j = 120 degrees h = 142 degrees
Step-by-step explanation:
First we should solve for j since we can take the hexagon and solve for j using the equation (n - 2) times 180 divided by n. N represents the number of sides the figure has, in this case its a hexagon so there are 6 sides.
(6 - 2) times 180 = 720/6 j equals 120 degrees
Next we can begin to solve for h by noting that h and 38 degrees are supplementary angles. Therefore, h plus 38 degrees equals 180 degrees.
180 - 38 = h h equals 142 degrees
I hope this helps you out :)
Write the quadratic equation in standard form:
20-2x^2-5x=4
Answer: -2x^2 - 5x + 16 = 0
The correct answer is -2x^2 - 5x + 16 = 0.
Step-by-step explanation:
Hope this helps =)
?
m∠ABD = m∠ABC
AB ≅ BC
B is the midpoint of DC.
m∠DBC = 90°
Answer:
50*
Step-by-step explanation:
math problem can someone help me I'm having trouble with this someone tell me
Answer:
x-3
Step-by-step explanation:
x (x-3) (x^2-3x+4)
ㅇㅇㅇㅇㅇㅇ
HELPP!!! PLSS (ill give brainlyesttt
)
12y +32 ? Select one:
1. 6(2y+8)
2. 4(3y+9)
3. 6(3y+5)
4. 4(3y+8)
Answer: 4.
Step-by-step explanation:
The Medicare tax rate was 1.45% in 2016. Erick made $68,052 that year. How much money did he pay in Medicare tax in 2016?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{1.45\% of 68052}}{\left( \cfrac{1.45}{100} \right)68052}\implies 986.754~\hfill \stackrel{about}{\approx 986.76}[/tex]
A baker bakes muffins to sell at the local coffee shop for $3 each.
• The baker has some initial muffins ready to sell and must bake 4 more
batches of 2 muffins.
• The expression 3(4x + 24) represents the amount, in dollars, the baker earns
selling all the muffins.
How many muffins does the baker have initially?
The baker has initially made 24 muffins.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that a baker bakes muffins to sell at the local coffee shop for $3 each.
The expression that represents the money earned -
C(x) = 3(4x + 24)
In this equation : [x] represents the number of batches. Total muffins left to bake : 4[x]. Remaining muffins that were already made were are 24.
Therefore, the baker has initially made 24 muffins.
To solve more questions on functions, expressions and polynomials, visit the link below -
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Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air. After 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air. Who was descending at a faster rate?
Mel: (2, 50) and (5, 35)
Victor: (1, 60) and (4, 50)
Mel’s rate of change is _. That means that her height in the air decreases _ feet every second.
Victor’s rate of change is _. That means that his height in the air decreases _ feet every second.
Answer:
Mel was descending at 5 feet per second and Victor was descending at 3.33 feet per second, thus Mel was descending faster.
Since after 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air, while after 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air, to determine who was descending at a faster average rate and what is Mel's rate of change, the following calculations must be performed:
You must subtract the difference between the two times for each person, and check which is the highest rate between the two.
Mel =
(50 - 35) / (5 - 2) = X
15/3 = X
5 = X
Victor =
(60 - 50) / (4 - 1) = X
10/3 = X
3.33 = X
Therefore, Mel was descending at 5 feet per second and Victor was descending at 3.33 feet per second, thus Mel was descending faster.
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!! WILL GIVE BRAINLIEST IF RIGHT! 2 PPPL HAVE TO ANSWER FIRST
Answer: J
Step-by-step explanation:
[tex]log_2 24 - log_2 3 = log_2 (24/3) = log_2 8 = 3[/tex]
So [tex]log_5 x = 3 -> x=125[/tex]
Which statement correctly describe the data shown in the scatter plot?
The scatter plot shows a negative association.
The point (2, 14) is an outlier.
The scatter plot shows a linear association.
The scatter plot shows no association.
A graph measuring variable y in relation to variable x. Multiple coordinates indicate a pattern of variable y increasing as variable x increases
Answer:
Hello! I wanted to explain the answer which someone might have already answered.. First off, I want to let you know that the Answer is "The scatter plot shows a linear association." But how? Well, linear means: "arranged in or extending along a straight or nearly straight line." Which if you didn't notice.. All the points on the graph, make up a generally straight line.
"No association" means there is no line or association with any of the points. So, you'd pick that if the points were all over the graph in no order, line or combination; which isn't the case.
"Negative association" is when the top of the points come from the left of the graph lowering into the right. While Positive association would be from right to left. So, it couldn't be choice "Negative Association" since it's coming from right to the left of the graph.
"The point (2, 14) is an outlier." If you didn't know, an outlier is one dot out of a whole group. Think of it as if EVERYONE was wearing pink except one; who wore black. It's just the out of placed kind of dot; but it's supposed to be there. When you look at the graph, there is no dot or outlier at point (2,14) so, that's automatically out as well.
Ending with the last choice "The scatter plot shows a linear association." which is not just true but is the only one that'd make since. So, I hope this helped you!
I HOPE THIS HELPS YOU! BE SAFE :)
Answer:
The scatter plot shows a linear association
Step-by-step explanation:
credit goes to ssanc053
What is the perimeter of a square who’s sides are ten units long?
Answer:
40 units
Step-by-step explanation:
The formula for the perimeter of a square is P= 4s
s= 10 units
so P= 4 x 10
so P= 40 unites
Answer:
Perimeter=40 units
Step-by-step explanation:
[tex]Solution,\\\\Length(l)=10units\\\\Now,\\\\Perimeter=4l\\\\Perimeter=4*10units\\\\Perimeter=40units[/tex]
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
17.026cm2
Step-by-step explanation
b = P - a - c - d = 25 - 4 - 12 - 7.325 = 1.675 cm then apply formula of area of trapezoid which is: A = (a + b) * h / 2 = (4 + 1.675) * 6 / 2 = 17.026 cm2. boom there is your answer.
can you simplify 5+3 (5) + (-4) (5)
simplify - maths to reduce (an equation, fraction, etc) to a simpler form by cancellation of common factors, regrouping of terms in the same variable, etc.
______________
PEMDAS RULEP - ParenthesesE - ExponentsM - MultiplicationD - DivisionA - AdditionS - Subtraction______________
[tex]\huge\red{\mid{\underline{\overline{\textbf{EQUATION}}}\mid}}[/tex]
[tex]5+3 (5) + (-4) (5)[/tex]
Follow our PEMDAS rule
[tex]5+3 (5) + (-4) (5)\\5+15-4\cdot5\\5+15-20\\20-20\\0[/tex]
[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]
[tex]5+3 (5) + (-4) (5)\:\:\:\:simplified\:=0[/tex]
Last week, you watched 4 hours of TV. This week, you watched 8 hours of TV.
Place points on the graph to show your activity for last week and this week
Answer:
You decide that you will spend 2 times as many hours outdoors as you spend watching TV.
Let the hours spent outdoors be = o
Let the time spent on watching tv be = t
So, general equation becomes o=2to=2t
Last week, you watched 4 hours of TV. This week, you watched 8 hours of TV.
When t = 4
o = 2(4) = 8 hours
When t = 8
o = 2(8) = 16 hours
We have been asked to place points on the graph to show your activity for last week and this week.
Please find attached the points display.
hope it helps.can someone please help me asap, thank youu!!!
Answer:
2
Step-by-step explanation:
Apply Difference of Two Squares formula: [tex]\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]:
[tex]\implies (3+\sqrt{7} )(3-\sqrt{7} )=3^2-(\sqrt{7} )^2[/tex]
[tex]=9 - 7[/tex]
[tex]=2[/tex]
A recipe for fruit punch calls for 3 liters of orange juice and 2 liters of pineapple juice. jo creates a drink by mixing 4 liters of orange juice with 3 liters of pineapple jucie. which recipe will have the stronger pineapple taste?
Answer:
Jo's drink will have a stronger pineapple taste
Step-by-step explanation:
Jo's drink will have a stronger pineapple taste. Because it has more pineapple juice content.
What is density?It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.
It is given that, the recipe for fruit punch calls for 3 liters of orange juice and 2 liters of pineapple juice. jo creates a drink by mixing 4 liters of orange juice with 3 liters of pineapple juice.
The recipe will have a stronger pineapple taste totally depending upon the volume of the pineapple juice.
Since Jo juice contains more pineapple juice content. it will have a stronger pineapple taste.
Thus, Jo's drink will have a stronger pineapple taste. Because it has more pineapple juice content.
Learn more about the density here:
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PLEASE HELP OMG THIS IS SO HARD
-5/6,-4/3 which is greater
Answer:
-5/6
Step-by-step explanation:
To figure out which one is greater, we need to convert them so they have a common denominator:
You can do this two ways, because 6 is a multiple of 3, we can just multiply the second fraction by 2:
[tex]\frac{-4}{3} \\[/tex] x 2 = [tex]\frac{-8}{6} \\[/tex]
[tex]\frac{-5}{6}[/tex]
The second way is multiplying both the fractions so they have a common denominator.
[tex]\frac{-5}{6} = \frac{-15}{18}[/tex]
[tex]\frac{-4}{3} = \frac{-24}{18}[/tex]
Because the numbers are negative, -15 is the greater number.
Therefore, [tex]\frac{-5}{6}[/tex] is the greater fraction.
What is the mean of the group of numbers? 5, 8, 11, 12, 18, 0
Answer:
9
Step-by-step explanation:
The mean is calculated by adding up the scores and dividing the total by the number of scores.
please help i’ll give brainlist to anyone
Answer:
well i cant really tell so much though
Step-by-step explanation:
12men can clear a field in 5 days.How long would it take 15 men to clear the same field
Answer: 4 days
Step-by-step explanation:
We can divide to find how much of a field each man can clear in one day. Since it takes 12 men 5 days to clear a field, each man can clear 1/60th of a field each day.
If we multiply 15 men by 1/60th of a field per day, we see that the 15 men can clear 1/4th of a field each day, so it would take 4 days for them to clear the entire field.
find the volume and height
Answer:
h = 11
Step-by-step explanation:
to find h
5² + h² = 12²
25 + h² = 144
h² = 144 - 25
h² = 119
h = 11
Solve the system of equations by the substitution method.
5x+4y=38 x=5y−4
Answer:
Step-by-step explanation:
Because x=5y-4 you can substitute 5y-4 into the x in the other equation. This makes 5(5y-4) + 4y = 38. When simplified it gives 25y -20 +4y = 38. Move like terms to each side to get 29y = 58 and get y=2. Then you can substitute 2 into the y in either equation to find x. I will do x=5(2)-4 to get x=6. So x=6 and y=2
Mika buys a dress for $43 that was
marked down from $68. What is the
percent discount off the original price?
A 25%
B. 37%
C. 58%
D. 63%
Solve the problems involving slope.
1. Based on the graph, what is the slope
of the line?
y = 2x - 3
How long does it take a cheetah to run 10 miles at 30 miles/hr?
20 minutes 60minutes ÷ 30miles = 20minutes