Answer:
a) 0.7734
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 101, \sigma = 24[/tex]
(a) what proportion of children aged 13 to 15 years old have scores on this test above 83 ?
This is 1 subtracted by the pvalue of Z when X = 83. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{83 - 101}{24}[/tex]
[tex]Z = -0.75[/tex]
[tex]Z = -0.75[/tex] has a pvalue of 0.2266
1 - 0.2266 = 0.7734
The answer is 0.7734
True or false?
The length of the intercepted arc is equal to the circumference of the circle.
Answer:
True
Step-by-step explanation:
Find A, B so that y = A sin(2) + B cos(2) is a solution to the differential equation
4y'' +y' + 5y = 2 cos(x).
A=
BE
Submit Question
If y = A sin(x) + B cos(x), then
y' = A cos(x) - B sin(x)
y'' = -A sin(x) - B cos(x)
Substitute these into the ODE:
4y'' + y' + 5y = 2 cos(x)
4 (-A sin(x) - B cos(x)) + (A cos(x) - B sin(x)) + 5(A sin(x) + B cos(x)) = 2 cos(x)
(-4A - B + 5A) sin(x) + (-4B + A + 5B) cos(x) = 2 cos(x)
(A - B) sin(x) + (A + B) cos(x) = 2 cos(x)
Then
A - B = 0
A + B = 2
Adding these equation gives
(A - B) + (A + B) = 0 + 2
2A = 2
A = 1 → B = 1
8(-3/2x+6)=-9(4/3x-8)
Reuben invested his savings in two investment funds. The $18,000 that he invested in Fund A returned a 5% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 4% profit?
Answer:
He invested $13500 in fund A, and $4500 in Fund B
Step-by-step explanation:
maths
Solve the equation for all real solutions in simplest form.
3z^2+17z+16=0
Answer:
[tex]x=\frac{-17+\sqrt{97}}{6}[/tex], [tex]x=\frac{-17-\sqrt{97}}{6}[/tex]
Step-by-step explanation:
Use the quadratic formula to solve for all real solutions.
Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Plug in and solve:
[tex]x=\frac{-17\pm\sqrt{17^2-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-12(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-192}}{2(3)}\\\\x=\frac{-17\pm\sqrt{97}}{6}\\[/tex]
Since that's the farthest we can simplify to, your answers would be the positive and negative versions of the expression:
[tex]x=\frac{-17+\sqrt{97}}{6}[/tex]
and
[tex]x=\frac{-17-\sqrt{97}}{6}[/tex]
The perimeter of a rectangle is 36 feet. The length is 2 less than 3 times the width. What is the length? What is the width?
I need this please help me
Answer:
-14 beacuse thats what it all adds up to
Which quadrilateral is a trapezoid?
Quadrilateral A B C D is shown. Sides A B and D C are parallel. Sides A D and B C have different length measures. Angles A and D are right angles.
Quadrilateral E F G H is shown. Sides F E and G H are congruent. Angles E and H have different measures.
Quadrilateral J K L M is shown. Sides J K and L M are parallel. Sides K L and J M are parallel.
Quadrilateral N O P Q is shown. Sides O N and N Q are congruent. Sides O P and P Q are congruent.
Answer:
A. Quadrilateral A B C D is shown. Sides A B and D C are parallel. Sides A D and B C have different length measures. Angles A and D are right angles.
Step-by-step explanation:
Edge 2021
Answer:
its a
Step-by-step explanation:
100% on edge 2021
A refrigerator costs $429 to buy and its label says that estimated energy costs are $43 per year. Another brand costs $399, but its energy costs are $48 per year. If x is the years of ownership and y is the total dollars spent, write the ordered pair (x,y) that shows at what point the owner would have spent the same amount of money on either brand.
Answer:
(6, 687)
Step-by-step explanation:
What is the sum of 13.75 and -11.25 ? Show your
work
Here goes the answer. Hope it helps you.
Answer:
Step-by-step explanation:
2.5
Use the Distributive Property to simplify the expression.
3(x+10)
Answer:
[tex]3x + 30[/tex]
3 times x +3 times 10
Hi, let me help you out!
- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
In order to simplify this expression, we will use the Distributive Property:
—> a(b+c)=ab+ac
Simplify:
3(x+10)
Multiply 3 times x and 10:
3x+30
Hence, we conclude that the answer is: 3x+30.
I hope it helps you! Have an awesome day.
A figure is shown.
What is the measure, in degrees, of
PLEASE HELP ME
3. Con la finalidad de contar con un alimento para animales con un valor nutritivo
más alto que el maíz común, un grupo de expertos comparan dos nuevas varie-
dades de maiz con un contenido de aminoácidos modificado llamadas opaca-2
y harinoso-2, con maíz común. Los investigadores mezclan maíz y soya para ali-
mentar animales, con 12%, 16% y un 20% de proteina. Suministran diariamente
este alimento compuesto a 10 pollos machos y anotan su aumento de peso al
cabo de 21 días. El aumento de peso de los pollos es una medida de valor nutri-
tivo del contenido del alimento, que se suministra. De acuerdo a lo anterior iden-
tifica ¿Cuál es la variable dependiente?. ¿Cuál es la variable independiente?, y
el aumento de peso que sería?
13
on qué conocimientos cuento?
PLEASE HELP ASAP DUE VERY SOON
Answer:
your answer will be A'B'/AB=3/1=3
Step-by-step explanation:
i hope this helps you
Answer:
3 is the correct answer......
Solve for a.
a
3
9
a =
= ✓ [?]
Pythagorean Theorem: a2 + b2 = c2
Enter
Answer:[tex]\sqrt{72}[/tex]
Step-by-step explanation:
[tex]a^2+b^2=c^2\\a^2+3^2=9^2\\a^2+9=81\\a^2=72\\a=\sqrt{72}[/tex]
(Please I will mark BRAINLIEST, not lie)Use this equation to solve for the missing variable:
y = 8x + 12
If x = -6, y = _____
If y = 13, x = _____
Answer:
If x = -6, y = -36
If y = 13, x = [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
There is one equation and are asked to find x and y if there is a certain value to substitute either x or y.
Let's start with x, we know that x = -6. Meaning that we need to subtitute x for -6. Do as followed :
y = 8(-6) + 12
y = -48 + 12
y = -36
Now do y, we know that y is 13. Meaning that we need to substitute y for 13. Do as followed :
8x + 12 = 13
We need to isolate x alone, so do as followed :
Subtract 12 from both sides to get 8x alone :
8x = 1
Divide 8 from both sides to get x alone :
x = 1/8
Which number is located between 1.2 and 1.4 on the number line
A) 1.19
B) 1.44
C) 1.22
D) 1.03
Answer:
D) 1.03 (is the answer)Step-by-step explanation:
A. ■(1.19) is not in between 1.2 and 1.4 this is wrong. B. ■(1.44) is not in between 1.2 and 1.4 this is wrong. C. ■(1.22) is not in between 1.2 and 1.4 this is wrong.D. ■(1.03) is between 1.2band 1.4 this is correct
Solve for x. Round to the nearest tenth.
Helpppp
Answer:
40
Step-by-step explanation:
Find 0% of 152:
Find 100% of 152:
Find 50% of 152:
Find 25% of 152:
Find 75% of 152:
Help ASAP:Solve : 0.84+91.279
Answer:
92.119
Step-by-step explanation:
0.84+91.279=92.119
Hope this helps!
Answer:
92.119
Step-by-step explanation:
Hope this helps :)
what is 295 cents in dollars???
Answer:
$2.95
Step-by-step explanation:
Express answer in exact form.
A segment of a circle has a 120° arc and a chord of 8√3in. Find the area of the segment.
50 POINTS IF YOU CAN ANSWER.
What is the product of 1/4x-1/2 and 5x^(2) - 2x + 6? Write your answer in standard form. Show your work. Please this is due by tomorrow :c
Solution:
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2).
Answer: 3x(3x + 2)
Solution:
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2).
Answer: 3x(3x + 2)
Solution:
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2).
Answer: 3x(3x + 2)
Express (81^1/4)^3
in simplest radical form.
| -11|>2 true or false
Answer:
Step-by-step explanation:
niet waar -11 is negatief
How are sedimentary rocks changed into metamorphic rocks?
A.
weathering and erosion
B.
melting
C.
cooling
D.
heat and pressure
Answer:
D. : Heat and Pressure
Step-by-step explanation:
(Before I explain, I think this question belongs to Science category, and not Mathematics. :)
3 factors turn sedimentary to metamorphic rocks. Heat, Pressure, and Chemical Active Fluids which formed.
Help plsss I’m stressing out
Which of these equations is correct when x = -2?
A
x + 8 = 5
B
3x - 1 = -10
C
2x - 7 = -11
D
-95x = -190
Answer:
C
Step-by-step explanation:
just plug it into a calc
Answer:
C: 2x - 7 = - 11
Step-by-step explanation:
If you insert -2 into the place of "x", you will have 2(-2) - 7.
2(-2) = -4, and -4 - 7 = -11.
Which of the following is a verbal
description of this expression?
2 – 3
B
А
Three less
than a number
An unknown
quantity less
than three.
Answer: Three less than a number
Step-by-step explanation: z-3 means the three is subtracted from the unknown number.
An unknown quantity less than three. would be 3 - z or z < 3
Answer:
A.) Three less than a number
Step-by-step explanation:
for this graph, mark the statements that are true