Complete Question
Given a standard normal distribution, find the area under the curve that lies
(a) to the left of z = −1.39;
(b) to the right of z = 1.96;
(c) between z = −2.16 and z = −0.65;
(d) to the left of z = 1.43;
(e) to the right of z = −0.89;
(f) between z = −0.48 and z = 1.74.
Answer:
a
[tex]P(Z < -1.39) = 0.082264[/tex]
b
[tex]P(Z > 1.96) = 0.025[/tex]
c
[tex]P(-2.16 < Z < -0.65 ) =0.2457[/tex]
d
[tex]P(Z < 1.43) = 0.92364[/tex]
e
[tex]P(Z > -0.48) = 0.68439[/tex]
f
[tex]P(-0.48 < Z < 1.74 ) =0.6435[/tex]
Step-by-step explanation:
Considering a
From the question we are told that
The z-score is z = -1.39
Generally from the z table the area under the curve that lies to the left of z = -1.39 is
[tex]P(Z < -1.39) = 0.082264[/tex]
Considering b
From the question we are told that
The z-score is z = 1.96
Generally from the z table the area under the curve that lies to the right of z = 1.96 is
[tex]P(Z > 1.96) = 0.025[/tex]
Considering c
From the question we are told that
The z-score is z = −2.16 and z = −0.65
Generally from the z table the area under the curve that lies between z = −2.16 and z = −0.65;
[tex]P(-2.16 < Z < -0.65 ) = P(Z < -0.64 ) - P( Z < -2.16)[/tex]
From the z table the area under (Z < -0.64 ) and ( Z < -2.16) is
[tex]P(Z < -0.64 ) = 0.26109[/tex]
and
[tex]P( Z < -2.16) = 0.015386[/tex]
So
[tex]P(-2.16 < Z < -0.65 ) =0.26109- 0.015386[/tex]
=> [tex]P(-2.16 < Z < -0.65 ) =0.2457[/tex]
Considering d
From the question we are told that
The z-score is z = 1.45
Generally from the z table the area under the curve that lies to the left of z = 1.43 is
[tex]P(Z < 1.43) = 0.92364[/tex]
Considering e
From the question we are told that
The z-score is z = -0.48
Generally from the z table the area under the curve that lies to the right of z = 0.48 is
[tex]P(Z > -0.48) = 0.68439[/tex]
Considering f
From the question we are told that
The z-score is z = −0.48 and z = 1.74
Generally from the z table the area under the curve that lies between z = −2.16 and z = −0.65;
[tex]P(-0.48 < Z < 1.74 ) = P(Z < 1.74 ) - P( Z < -0.48)[/tex]
From the z table the area under (Z < 1.74 ) and ( Z < -0.48) is
[tex]P(Z < 1.74 ) = 0.95907[/tex]
and
[tex]P( Z < -0.48 ) = 0.31561[/tex]
So
[tex]P(-0.48 < Z < 1.74 ) = 0.95907 - 0.31561[/tex]
=> [tex]P(-0.48 < Z < 1.74 ) =0.6435[/tex]
The standard normal table shows the mathematical table which represent the value below a z-score in standard normal distribution. It is also known as z-table.
(a) The correct answer is 0.082264.
(b) The correct answer is 0.025
(c) The correct answer is 0.2457.
(d) The correct answer is 0.68439.
(e) The correct answer is 0.6435
Given:
(a)
The z-score is z = -1.39
Refer the z-table area under the curve that lies to the left of [tex]z=-1.39[/tex],
[tex]P(Z<-1.39)=0.082264[/tex]
(b)
.The z-score is z = 1.96
Refer the z-table area under the curve that lies to the right of [tex]z=1.96[/tex],
[tex]P(Z>1.96)=0.025[/tex]
(c)
The z-score is [tex]z = -2.16[/tex] and [tex]z=-0.65[/tex]
Refer the z-table area under the curve that lies between [tex]z = -2.16[/tex] and [tex]z=-0.65[/tex],
[tex]P(-2.16<Z<-0.65)=P(Z<-0.64)-P(Z<-2.16)[/tex]
Thus,
[tex]P(Z<-0.64)=0.26109\\P(Z<-2.16)=0.015386\\P(-2.16<Z<-0.65)=0.26109-0.015386\\P(-2.16<Z<-0.65)=0.2457[/tex]
(d)
The z-score is [tex]z =1.45[/tex]
Refer the z-table area under the curve that lies to the right [tex]z = 1.45[/tex],
[tex]P(Z<1.45)=0.92364[/tex]
(e)
The z-score is [tex]z = -0.48[/tex]
Refer the z-table area under the curve that lies to the right [tex]z = -0.48[/tex],
[tex]P(Z>-0.48)=0.68439[/tex]
(f)
The z-score is [tex]z =-0.48[/tex] and [tex]z = 1.74[/tex]
Refer the z-table area under the curve that lies between [tex]z =-0.48[/tex] and[tex]z = 1.74[/tex],
The z table the area under [tex](Z < 1.74 )[/tex] is,
[tex]P(Z<1.74)=0.95907[/tex]
The z table the area under [tex](Z < -0.48 )[/tex] is,
[tex]P(Z<-0.48)=0.31561[/tex]
Calculate the area under the curve that lies between [tex]z =-0.48[/tex] and[tex]z = 1.74[/tex],
[tex]P(-0.48<Z<1.74)=P(Z<1.74)-P(Z<-0.48)\\P(-0.48<Z<1.74)=0.95907-0.31561\\P(-0.48<Z<1.74)=0.6435[/tex]
Thus,
(a) The correct answer is 0.082264.
(b) The correct answer is 0.025
(c) The correct answer is 0.2457.
(d) The correct answer is 0.68439.
(e) The correct answer is 0.6435
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HURYY I NEED THIS BEFORE 3 !!What is the equation of the line that passes through the point (16.-7) and has slope of m= -3/4 written in point-slope form?
Answer:
The answer is
[tex] \huge y + 7 = - \frac{3}{4} (x - 16) \\ [/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
[tex]y + 7 = - \frac{3}{4} (x - 16)[/tex]
Hope this helps you
A flowers company buys 7 shipments of roses for $6,500 each and 7 shipments of daffodils for $11,500 each.
name the order of operations
Answer:
PEMDAS
Step-by-step explanation:
Parentheses, Exponents, Division and Multiplication, Addition and Subtraction. When I put an and I mean do them in order of left to right.
Answer:
PENDMAS
Step-by-step explanation:
Parenthesis, Exponent, Multiplication, Addition, Subtraction.
Holly is displaying a postcard collection on a bulletin board that is 20 4/5 in long. If each postcard is 2 1/5 in long how many post cards can holly display?
Answer:
About 9
Step-by-step explanation: I googled it Imao
AHHHHHHHH!! PLEASE help me if you guys know how to solve this
Suppose x = 7 is a solution to the equation 4x – 2(x + a) = 8. How can you find the value of a that makes the equation true?
Substitute the value of (a,x, or 8) into the equation, and then solve for (a,x, or 8)
Step-by-step explanation:
4(7)-2(7+a)=8
28-14+2a=8
14+2a=8
14+a=4
a=-10
.
.
Help please and thank you
The winner of a 200 mile race drove his car to victory at a rate of 108.4493 mph. What was his time to the nearest thousandth of an hour)?
Answer:
The answer is 1.844 sStep-by-step explanation:
From the question the time taken can be found by using the formula
[tex]t = \frac{d}{v} \\ [/tex]
where
d is the distance
v is the velocity
From the question we have
[tex]t = \frac{200}{108.4493} \\ = 1.844179...[/tex]
We have the final answer as
1.844 s to hr the nearest thousandthHope this helps you
Answer:
108.449
Step-by-step explanation:
Without multiplying, how can you tell which product will be greater, 4 × 3 or 4 × 5? Explain.
Answer:
4 times 5
Step-by-step explanation:
You can tell because when multiplying 4x5 you are using larger numbers.
Product of 4×5 will be greater as 5 is greater than 3.
What are some alternatives names for mathematical operations ?Addition is also know as sum.Subtraction is also known as difference.Multiplication is also know as product and division is also know as factor.
According to the given question we have to determine which product will be greater 4×3 or 4×5.
Here the common number is 4 and it is being multiplied with either 3 or 5.
We know multiplying a same number by two different numbers one greater than the other will result in greater value.We can also determine this by the table of 4.
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Solve. Give the solutions for "m"
100m² =100,000
Answer:
I think m= +or- 31.623
Step-by-step explanation:
divide 100k by 100 then square root. its a quadratic so 2 answers
Marcus borrowed 13.45 on Thursday. He earned 45.32 on Friday and immediately
Answer: I'm not exactly sure what your asking, but throughout two days Marcus borrowed $13.45 and then made $45.32. If he immediately paid his owed money back then he would have a current amount of 31.87 in his possession. That is unless he had interest on that owed money for one day
Step-by-step explanation:
$45.32-$13.45 = $31.87
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, normal random variables with a standard deviation of 0.08 fluid ounces. (a)What is the standard deviation of the average fill volume of 22 bags
Answer:
0.017
Step-by-step explanation:
Given that:
Population standard deviation (σ) = 0.08
Standard deviation of the average fill volume of 22 bags :
The standard deviation of sample means = standard error ; defined as ;
SE = σ / √n
SE = 0.08 / √22
SE = 0.08 / 4.6904
SE = 0.0170560
SE = 0.017
Last year at a certain high school, 12 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 5 choices
Answer:
95,040 ways
Step-by-step explanation:
The first position has 12 choices
The second has 11 choices (since first is filled)
The third has 10 choices
The fourth has 9 choices
The fifth has 8 choices
So the number of ways they can make the ranking will be;
12 * 11 * 10 * 9 * 8 = 95,040 ways
The number of ways could the voters (student body) rank their first 5 choices is 792 ways.
Calculation of the number of ways:Since Last year at a certain high school, 12 students sought the nomination for president of the student body.
So, here
we use the combination here
[tex]= 12!\div 5!7!\\\\= 12\times 11\times 10\times 9\times 8\times 7!\div 5!7!\\\\= 12\times 11\times 10\times 9\times 8\div 5\times 4\times 3\times 2[/tex]
= 792 ways
Therefore, The number of ways could the voters (student body) rank their first 5 choices is 792 ways.
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3.4. There are five learners in a class that have written a final year mathematics examination paper.
Aletta scored 55 % for this paper. Vera scored 36 % and Sibusiso scored 88 %. If Thoko scored 71 %
and the class average was 63 %, what was David's score (as a percentage)?
Answer:
average quiz mean = 85, exams =78, 81, 92, homework mean ... Infant Mortality 63.
What’s the distance between these two pair of points -3, -6 and -3, 1
Answer:
5
Step-by-step explanation:
8.9% of 75 what is the answer? -__- idk
Answer:
6.675
Step-by-step explanation:
75x.089
Answer:
one:6.675 is the answer
Step-by-step explanation:
:two someone want to know r u hurting urself we all worryed about you plz if u r dont u have much to live for.
-44.84 x 9.84.
-88.6 x -5.01
39.6 x -5.20
-28.15 x -5.5
14.36 x 4.9
1. (Consider the differential equationdy/dt=y(1-y^2)(i) Determine the equilibrium solutions.(ii) Obtain the general solution.(iii) Solve the initial-value problem y(0) = 1/2(iv) Draw the phase line.(v) Sketch solution curves in the ty-plane corresponding to the initial conditions y(0) =-3/2; y(0) =1/2;y(0)=3/22. Consider the differential equationDy/dt= -2ty^2.(i) Obtain the general solution.(ii) Find all values of y0 such that the solution to the initial-value problem y(-1) = y0 isdefined for all real t (i.e., find all y0 such that the solution does not blow up in finite time.)
Answer:
attached below is the detailed solution
i) equilibrium solution : y = 0 , y^2 = 1 , y = -1 , +1
ii) attached below
iii) attached below
iv) attached below
v) attached below
Step-by-step explanation:
v) For the sketch of curve attached
red curve ( y(0) ) = -3/2
blue curve ( y(0) ) = 1/2
green solution curve ( y(0) ) = 3/2
vzorec pre obsah štvorca
Ahoj! Vzorec je Vynásobte dĺžku šírkou a budete mať štvorcové stopy. Tu je základný vzorec, ktorým sa môžete riadiť: Dĺžka (v stopách) x šírka (v stopách) = plocha v štvorcových stopách. Dúfam, že vám to pomôže! Veľa šťastia a prajem skvelý deň / noc. ❤️✨
contesten porfa
1: El resultado de la operación: (6 + 6) * (6 + 6) = *
48
144
78
256
2: El resultado de la operación: 6 + 6 * 6 + 6 = *
48
144
78
256
3: El resultado de: 4 + 5 * 2 = *
18
14
40
22
4: Si tenemos: 8 - [6 * (5 - 3) ] / 4. C¿Cuál es el resultado final? *
5
1.75
-1
6
5: El resultado de multiplicar la siguiente fracción es: (2/3) * (5/8) = *
5/12
18/15
15/18
10/24
6: El resultado de multiplicar la siguiente fracción es: (4/9) * (8) = *
32/72
72/4
4/72
32/9
7: El resultado de multiplicar la siguiente fracción es: (6) * (6/7) = *
36/42
42/36
36/7
7/36
8: El resultado de dividir la siguiente fraccion es: (8/13) / (2/10)= *
16/130
130/16
26/80
80/26
9: El resultado de dividir la siguiente fraccion es: (1/5) / (6)= *
6/30
6/5
1/30
61/5
10: El resultado de dividir la siguiente fraccion es: (8) / (6/7)= *
48/7
48/56
56/6
86/7
contesten porffaaaaa
rapidoooo
If R is the midpoint of QS, find QS. QR=2x+16 RS=5x-17
Answer:
QS = 76
Step-by-step explanation:
Given R is the midpoint of QS, it means the distance from R to each endpoint is equal, that is:
QR = RS
We are given
QR = 2x + 16
RS = 5x - 17
Equating:
2x + 16 = 5x - 17
Subtracting 5x:
2x - 5x + 16 = -17
Simplifying:
-3x +16 = -17
Subtracting 16:
-3x = - 16 -17 = -33
Dividing by -3:
x = 11
Let's find
QR = 2x + 16 = 22 + 16 = 38
The length of QS is double this value: QS = 2*38 = 76
QS = 76
Identify the domain and range of the function graphed below.
Classify each of the following statements as true or false where a and b are whole numbers.
a. If GCD(a,b)= 1, then a and b cannot both be even.
b. If GCD(a,b) = 2, then both a and b are even.
c. If a and b are even, then GCD(a,b) = 2.
Help me please respond
Answer:
C
Step-by-step explanation:
Help plz!
Three cubic feet of seawater weigh 192 pounds.
Make a chart that shows the weight of 6 ft3 of seawater, 10 ft3 of seawater, and 14 ft3 of seawater.
Answer:
Look at the screen shot
Step-by-step explanation:
Here is the formula
3/192=6/k
here is example
If two quantities change so that their ratio remains the same, the quantities are called directly proportional. Or, one can say that the quantities vary directly.
The ratio is called the constant of variation, and is usually recorded as k.
A man and a woman start from the same point. The man walks S60°E at 1.3 m/sec. The woman
walks south at 1.6 m/sec. At what rate is the distance between the man and woman changing
after 35 minutes?
Answer:
The distance between the man and woman is changing at the rate of 1.5 m/sec.
Step-by-step explanation:
Speed = [tex]\frac{distance}{time}[/tex]
⇒ distance = speed x time
After 35 minutes (2100 seconds) ,
the man has walked a distance = 1.3 x 2100
= 2730 m
After 35 minutes, the woman has walked a distance = 1.6 x 2100
= 3360 m
The sketch of the displacement of the man and woman forms a triangle with an included angle. Applying the cosine rule, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos θ
= [tex]3360^{2}[/tex] + [tex]2730^{2}[/tex] - 2 x 3360 x 2730 x Cos [tex]60^{o}[/tex]
= 11289600 + 7452900 - 18345600(0.5)
= 18742500 - 9172800
= 9569700
c = [tex]\sqrt{9569700}[/tex]
= 3093.5 m
The distance between the man and woman at 35 minutes is 3093.5 m.
The distance between the man and woman is changing at the rate = [tex]\frac{3093.5}{2100}[/tex]
= 1.4731
= 1.5 m/sec
The distance between the man and woman is changing at the rate of 1.5 m/sec.
How can the Distributive Property be used to find 7 x 391?
Select all that apply.
WILD
A. 7 x 391 = 7 % (300 +90 + 1)
B. 7 x 391 = 7+ (300 +90 + 1)
C. 7 x 391 = (7 x 300) +90 + 1
D. 7 391 = (7 x 300) + (7 90) + (7 x 1)
E. 7 * 391 = 2,100 + 630 + 7
Answer:
The answer is B
Step-by-step explanation:
The Distributive Property be used to find 7 x 391; 7 x 391 = (7 x 300) + (7x 90) + (7 x 1). Therefore, option D is the correct answer.
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
a(b + c) = a x b + a x c
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
Also This property is known by distributive law and applies to subtraction also.
The Distributive Property be used to find 7 x 391;
7 x 391 = (7 x 300) + (7x 90) + (7 x 1)
Therefore, option D is the correct answer.
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At the potluck, there were 6 pecan pies, 7 lemon pies, 13 cherry pies, and 8 apple pies. Determine the ratio of apple pies to the total number of pies.
Estimate 193x47 by first rounding each number so that it has only 1 nonzero digit.
The table shows conversions of common units of capacity.
Answer:
Could you add an image plz? ty
Answer:
The conversion factor to convert cups to liters is 0.237
Step-by-step explanation:
Given : A table showing conversions for common units of capacity.
Units of capacity
Customary System Units Metric System Units
1 gallon 3.79 liters
1 quart 0.95 liters
1 pint 0.473 liters
1 cup 0.237 liters
We have to find the conversion factor to convert cups to liters.
Consider the given table.
Since, given One cup is equal to 0.237 liters.
So , the conversion factor to convert cups to liters is 0.237
For example to convert 10 cups to liters, we can multiply the number of cups by 0.237 to get cups in liters.
That is 10 cup = 10 × 0.237 = 2.37 liters.
Thus, 10 cups is equal to 2.37 liters.
Hence, The conversion factor to convert cups to liters is 0.237
Please give me brainliest
Which graph best represents -5 y = -6 x + 15?
Answer:
here hope this helps
Step-by-step explanation: