For each probability, transform the normal random variable X with mean 19 and s.d. 4.04 to a standard normal random variable Z with mean 0 and s.d. 1, using the rule
Z = (X - 19) / 4.04
(a) Pr[15 ≤ X ≤ 20] = Pr[(15 - 19)/4.04 ≤ (X - 19)/4.04 ≤ (20 - 19)/4.04]
… ≈ Pr[-0.9901 ≤ Z ≤ 0.2475]
… ≈ Pr[Z ≤ 0.2475] - Pr[Z ≤ -0.9901]
(since Z is a continuous random variable)
… ≈ 0.4367
(b) Pr[X > 20] = Pr[(X - 19)/4.04 > (20 - 19)/4.04]
… ≈ Pr[Z > 0.2475]
… ≈ 1 - P[Z ≤ 0.2475]
(taking the complement probability)
… ≈ 0.4023
(c) Pr[X < 15] = 1 - Pr[15 ≤ X ≤ 20] - Pr[X > 20]
(also taking the complement)
… ≈ 0.1611
Rewrite 5ab showing the multiplication signs
Answer:
[tex]5ab = 5 \times a \times b[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
5a*b
Help me pls !!!!! Rlly need it
Answer:
its ajwhwowhwkwuquwwyqkqhqoagwkw6shsossgsjiwhesishsisjsjsishwiwgaisujwwisu
What’s the measure of angle B? It’s not 64.
Answer:
65 degrees
Step-by-step explanation:
Angles in a triangle add to 180°.
Confusion .. help please
Answer:
2
Step-by-step explanation:
We are to determine the value of KM which is adjacent to angle 35. we also have the value for the hypotenuse. Thus we would use COS
Cos 35 = adjacent /hypotenuse
0.8192 = adjacent / 123
adjacent = 0.8192 x 123 = 100.7557 cm
100.8 cm
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
I need a bit of help pls.
Answer:
#1. 150, #2. 650, #3. 2 PM to 4 PM #4. 8AM to 4PM (8 hours) #5. the frequency of weight in pounds #6. 22 cats
#7. 1 - 40 pounds #8. 11 - 20 pounds
WILL GIVE U BRAINLEST!!
Angle A and B are a linear pair. If A = x + 70 and B = x + 50, what is the value of x? *
A.40
B.25
C.30
D.180
1. How much salt and baking powder together is needed to make 36 cup cakes?
Answer:
too much salt will not bring taste to the cup cakes
Step-by-step explanation:
what is the median of 72 27 24 11 14 and 12
Answer: 19
Step-by-step explanation: Since there is no one middle number we have to find the mean of the two middle numbers. Once you find the mean for 24 and 11 you will see that the answer is 19.
Answer:
The median is the middle number in numerical order.
Numerical order - [tex]11,12,14,24,27,72[/tex]
There are 6 numbers.
The median is 19.
What are the Missing sides?
Answer:
i think the answer is A ,if I'm wrong plz tell me
Sara
has
what
you can work out
she needs.
Saved & 75. This is 30% of
She needs. Explain how
Answer:
The question seems incomplete.
Step-by-step explanation:
HELLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Five friends take a maths test
Adam, Brandon, Chen together scored 200 marks
Brandon, Chen and Damion together scored 215
Chen, Damion, Erica together scored 224
Damion and Erica scored more than Chen
The five of them together scored 350 marks
What are their individual scores?
Answer:
Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.
Step-by-step explanation:
Since five friends took the maths test, and Adam, Brandon, and Chen together together scored 200 marks; Brandon, Chen and Damion together scored 215; Chen, Damion and Erica together scored 224; and Damion and Erica scored more than Chen; While the five of them together scored 350 marks, to determine what are their individual scores the following calculations must be done:
Adam + Brandon + Chen = 200
Damion + Erica = 150
Brandon + Chen + Damion = 215
Adam + Erica = 135
Chen + Damion + Erica = 224
Adam + Brandon = 126
Adam + Brandon = 126 + Chen = 200
Chen = 200 - 126
Chen = 74
Damion and Erica scored more than Chen
Chen + Damion + Erica = 224
74 + Damion + Erica = 224
Damion + Erica = 150
Damion = 75
Erica = 75
Brandon + Chen + Damion = 215
Brandon + 74 + 75 = 215
Brandon = 215 - 74 - 75
Brandon = 66
Adam = 350 - 75 - 75 - 74 - 66
Adam = 60
Therefore, Adam scored 60, Brandon scored 66, Chen scored 74, Damion scored 75, and Erica scored 75.
Write the equation of the linear relationship in slope-intercept form.
Answer:
y = 1/3x + 70/3
Step-by-step explanation:
2 points on the graph:
(20, 30) and (50, 40)
Slope:
m=(y2-y1)/(x2-x1)
m=(40 - 30)/(50 - 20)
m= 10/30
m= 1/3
Slope-intercept:
y - y1 = m(x - x1)
y - 30 = 1/3(x - 20)
y - 30 = 1/3x - 20/3
y = 1/3x + 70/3
I neeeddddd help on this I’m failing
Answer:
AB = 9
Step-by-step explanation:
Here is a simple case of a proportion.
We see that:
3:4
x:12
what can we do to make 4 into 12?
we multiply it by 3
so we do the same to 3
3*3=9
WILL GIVE U BRAINLIEST
What is the value of x?
A. 100 degrees
B. 50 degrees
C. Not enough info
D. 60 degrees
Answer:
B. 50
Step-by-step explanation:
180-80=100
100 divided by two equal angles is 50.
0.009 divided by 0.001
Answer:
9
Step-by-step explanation:
0.001 · 9 = 0.009
Solve the equation –15 + 10y = 25 for y.
Answer:
y = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-15 + 10y = 25
Step 2: Solve for y
[Addition Property of Equality] Add 15 on both sides: 10y = 40[Division Property of Equality] Divide 10 on both sides: y = 4Which answers describe the shape below
Answer:
B. parallelogramStep-by-step explanation:
stay safe, stay healthy and blessed.
thank u
Answer:
a b c d e
Step-by-step explanation:
The equation $x + {y = 2 can be rewritten in a form that reveals the y-intercept of the graph of the equatior
Drag numbers to complete the equation that is equivalent to $x + žy = 2 and show the value of the y-intercept
Answer:
[tex]y = \frac{2}{z} - \frac{x}{z}[/tex]
Step-by-step explanation:
Given
[tex]x + zy = 2[/tex]
Required
Rewrite to show y-intercept
We have: [tex]x + zy = 2[/tex]
Subtract x from both sides
[tex]zy = 2-x[/tex]
Divide both sides by z
[tex]y = \frac{2}{z} - \frac{x}{z}[/tex]
The y intercet is: [tex]\frac{2}{z}[/tex]
Help plz:)))I’ll mark u Brainliest
Answer:
[tex]sin^{-1}(\frac{51}{53})\\=74.21\\[/tex]
≈74
⦁ A $10,000 certificate of deposit earns simple interest of 8 percent per year. Calculate the total earned money over the 5 year period?
Answer:
The total earned money over the 5 year period=$14,000
Step-by-step explanation:
We are given that
Principle amount, P=$10000
Rate of interest, r=8%
Time, t=5 years
We have to find the total earned money over the 5 year period.
We know that
Simple interest=[tex]\frac{P\times r\times t}{100}[/tex]
Using the formula
S.I=[tex]\frac{10000\times 8\times 5}{100}{/tex]
S.I=$4000
Now,
Amount=P+S.I
Amount=10000+4000
Amount=$14000
Hence, the total earned money over the 5 year period=$14000
Blueberry pies sold each day
Least:
Greatest:
Median (02):
Lower Quartile (Q1):
Upper Quartile (03):
Blueberry pies sold each day So, Least: 1, Greatest:8, Median(02):4,
Lower quartile(q1):3, Upper quartile(03):5.
What are quartiles?When we get data that can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.
The lower quartile, also called the first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
Left to right is said in the assumption that data were arranged increasingly from left to right.
From the given data
The Least number is 1.
The greatest number is 8.
The Median(02) is 4.
Lower Quartile (Q1): 3
Upper Quartile (03): 5
Learn more about quartiles here:
brainly.com/question/9260741
#SPJ2
Alice sells boxes of candy at the baseball game and wants to know the mean number of boxes she sells. The numbers for the games so far are listed below. 16, 14, 14, 21, 15
Answer:
1st
Step-by-step explanation:
You need to add the numbers and then dicuvde by how many numbers are there.
Answer:
16
Step-by-step explanation:
"Mean" is another way of asking for the average. Add all numbers together, then divide by how many numbers you started with.
16 + 14 + 14 + 21 + 15 = 80
80 ÷ 5 = 16
Find the value of x that makes m || n
Answer:
x = 23
Step-by-step explanation:
7x - 11 = 4x + 58
(7x - 4x) - 11 = (4x - 4x) + 58
3x - 11 = 58
3x (- 11 + 11) = 58 + 11
3x = 69
3x/3 = 69/3
x = 23
Relationships in Figures
What is the next number in the following sequence.
0, 1 1, 2, 3, 5, 8..
a. 9
b.13
c. 10
d. 11
Please select the best answer from the choices provided
Answer:
B. 13
Step-by-step explanation:
I calculated it logically
A regression analysis involving one independent variable and one dependent variable is referred to as
Answer: Simple regression
Step-by-step explanation:
A regression analysis that involves one independent variable and one dependent variable is called the simple regression.
The Simple Regression Analysis shows the relationship that exist between the dependent variable which is the value that's to be predicted and the independent variable. The dependent variable depends on the independent variable
4x + 3y =18
x-3y = 7
Answer:
x=8,y=-2/3
Step-by-step explanation:
make x the subject of formula
x=7+3y
substitute into the first equation
4(7+3y)+3y=18
28+12y+3y=18
28+15y=18
15y=18-28
15y=-10
y=-10/15=-2/3
since y=-2/3, substitute y into x=7+3y
x=7+3(-2/3)
x=7-2
x=5
Can any one psay what is monmon meaning I think it's and alien
Answer:
Monmon is a Beast Digimon. It is a Digimon that has the appearance of an infant monkey. It has enough strength to wield a slingshot the size of its body with ease, and confidence in its abilities to prevent its prey from escaping. It often falls from treetops due to its careless personality. Its stylish traits are its tiger-printed outfit and its white-tipped tail
Consider f(x) = 2x^2 + 1 and g(x) = 3x - 6. Which statement about f + g is true?
A.It is a linear function.
B.It is a quadratic function.
C. The domain is x 2-3.
D. The range is all real numbers.
Answer:
Vertex of a quadratic function (formula)
Step-by-step explanation:
Sandi randomly selects a single bill from an envelope containing 8 ones, 5 fives, 4 tens, and 3 twenties. What is the expected value of the money she selects
Answer:
The expected value of the money she selects is 6.65.
Step-by-step explanation:
Expected value:
Sum of each outcome multiplied by its probability.
We have:
8 + 5 + 4 + 3 = 20 total bills.
8 are ones, so P(X = 1) = 8/20 = 0.4.
5 are fives, so P(X = 5) = 5/20 = 0.25.
4 are tens, so P(X = 10) = 4/20 = 0.2
3 are twenties, so P(X = 20) = 3/20 = 0.15.
What is the expected value of the money she selects?
[tex]E(X) = 0.4*1 + 0.25*5 + 0.2*10 + 0.15*20 = 6.65[/tex]
The expected value of the money she selects is 6.65.
Quesion is in picture
Answer:
answe is option 3 is currect ans
Answer:
(x + 1)(x + 2
________
2
Step-by-step explanation:
Good luck.