Answer: 1.2
Step-by-step explanation:
Let X denotes the grades on a language midterm at Oak Academy.
As per given ,
X follows normal distribution ( because it has symmetric graph)
[tex]\mu=67,\ \ \ \ \sigma= 2.5[/tex]
Formula for z : [tex]z=\dfrac{X-\mu}{\sigma}[/tex]
For X = 70, we have
[tex]z=\dfrac{70-67}{2.5}=\dfrac{3}{2.5}=1.2[/tex]
Hence, the z-score for Ishaan's exam grade = 1.2
z-scores are the corresponding standard normal variate's values for normal variates' values. The z-score for Ishaan's grade is 1.2
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p-value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For the given case, if we suppose the random variable X's values as scores of the grades on given language midterm at Oak Academy, then, as it is symmetric around value 67, with σ = 2.5, thus,
[tex]X = N(\mu = 67, \sigma = 2.5)[/tex]
Its given that Ishaan scored X = 70
The standard normal variate conversion of X is given by:
[tex]Z = \dfrac{X- \mu}{\sigma} = \dfrac{X - 67}{2.5}[/tex]
Thus, z-scores for Ishaan's score is: [tex]Z = \dfrac{70 - 67}{2.5} = \dfrac{3}{2.5} = 1.2[/tex]
Learn more about standard normal distribution here:
https://brainly.com/question/10984889
What is the value of x in the equation 5(3x + 4) = 23?
start fraction 43 over 15 end fraction
start fraction three over 15 end fraction
start fraction 15 over 43 end fraction
start fraction two over five end fraction
Answer:
5(3x+4)=23
5*3=15 5*4=20
15x+20=23
-20=-20
15x=3
divide by 15 from both sides
x=0.2
Step-by-step explanation:
Answer:
5(3x+4)=23
5*3=15 5*4=20
15x+20=23
-20=-20
15x=3
divide by 15 from both sides
x=0.2
Explanation: In a fraction, the number of equal parts being described is the numerator (from Latin: numerātor, "counter" or "numberer"), and the type or variety of the parts is the denominator (from Latin: dēnōminātor, "thing that names or designates"). As an example, the fraction 8/5
amounts to eight parts, each of which is of the type named "fifth". In terms of division, the numerator corresponds to the dividend, and the denominator corresponds to the divisor.
Informally, the numerator and denominator may be distinguished by placement alone, but in formal contexts they are usually separated by a fraction bar. The fraction bar may be horizontal (as in 1/3), oblique (as in 2/5), or diagonal (as in 4⁄9). These marks are respectively known as the horizontal bar; the virgule, slash (US), or stroke (UK); and the fraction bar, solidus, or fraction slash. In typography, fractions stacked vertically are also known as "en" or "nut fractions", and diagonal ones as "em" or "mutton fractions", based on whether a fraction with a single-digit numerator and denominator occupies the proportion of a narrow en square, or a wider em square. In traditional typefounding, a piece of type bearing a complete fraction (e.g. 1/2) was known as a "case fraction", while those representing only part of fraction were called "piece fractions".
PLEASE HELP ME ASAP!!
please help me and pls do both
Answer:
7/36
Step-by-step explanation:
find the LCD write all the numerators above the least common denominator
LCD is 36
4 +3 /36 =7/36
I’m looking for x can someone help me
Answer:
x = 30°
Step-by-step explanation:
Since m and n are perpendicular, then
y + 70° = 90° ( subtract 70° from both sides )
y = 20°
thus 40 + y = 40° + 20° = 60°
Then
x + 60° = 90° ( subtract 60° from both sides )
x = 30°
A manufacturer wants to construct a box whose base length is 4 times the base width. The material to build the top and bottom cost 8 dollars per ft.2 and sides 5 dollars per ft.2. If the box must have a volume of 72 ft.3, determine the dimensions that will minimize cost.
Answer:
width = 1.77845 ft
length = 7.1138 ft
height = 5.691 ft
total cost = $759.09
Step-by-step explanation:
volume = length x width x height
length = 4 width
base of the rectangle = 4 x 1 w = 4w²
72 (volume) = 4w²h
18 = w²h
f(c) = (2 x 4w² x $10) + (2 x wh x $5) + (2 x 4wh x $5)
f(c) = 80w² + 10wh + 40wh
f(c) = 80w² + 50wh
since we need only 1 variable (width), we have to substitute h:
h = 18/w²
f(c) = 80w² + 50w(18/w²) = 80w² + 900/w
f'(c) = 160w + 900/w²
0 = (160w³ + 900)/w²
0 = 160w³ + 900
0 = 20(8w³ + 45)
0 = 8w³ + 45
8w³ = -45
w³ = -45/8
w = ∛-45/8 = -1.77845 and 1.77845
since w cannot be negative, then it must be 1.77845
What is 12r + 5 + 3r - 19
Simplify -8xy + 7xy
is the answer xy?
-8 + 7 = -1
so the answer would be:
-xy or -1xy
Answer:
-xy
Step-by-step explanation:
Add -8xy and 7xy= -xy
Hope this helped! :)
May i have brainliest!
Sally went to the clearance rack at a department store and found a shirt she wanted to buy. The shirt was $36.00 and is on sale for $24.00. What is the percent of the decrease?
Answer:
33.34%.
Step-by-step explanation:
Given that,
The actual price of the shirt = $36
Price on sale = $24
We need to find the percent of the decrease. The formula for the percentage is given by :
[tex]\%=\dfrac{|\text{actual value-estimated value}|}{\text{actual value}}\times 100[/tex]
Putting all the values,
[tex]\%=\dfrac{24-36}{36}\times 100\\\\=33.34\%[/tex]
So, the percentage decrease in the price of the shirt is 33.34%.
Xochitl has saved $201.60. Yamka has saved LaTeX: \frac{2}{3}2 3 the amount Xochitl saved. Zack has saved 1.5 times the amount Yamka saved. How much have they saved all together?
Answer:
$537.60
Step-by-step explanation:
Xochitl has saved $201.60.
Yamka has saved 2/3 the amount Xochitl saved.
The amount Yamka has saved us calculated as:
2/3 × $201.60
= $134.40
Zack has saved 1.5 times the amount Yamka saved.
The amount Zack has saved is
1.5 × $134.40
= $201.60
How much have they saved all together?
This is calculated as:
$201.60 + $134.40 + $201.60
= $537.60
What is the equation in slope-intercept form for the graph shown? *
N
0
F. y + x = -3
G. y = 3x + 1
H. y - 3x = 1
I. y = - 3x + 1
Answer:
I
Step-by-step explanation:
The answer is y = -3x+1. If you need an explanation, just ask.
The length of a rectangle is 4 yd less than three times the width, and the area of the rectangle is 55 ya? Find the dimensions of the rectangle. Length: Width :
Answer:
length = 11 yard
width = 5 yard
Step-by-step explanation:
Area of a rectangle = L W
where A = 55 yard
L = 3W - 4
find: Length
width
solution:
A = L W
55 = (3W - 4) W
55 = 3W² - 4W
3W² - 4W - 55 = 0
use quadratic equation to solve for W:
W = - (-4) ± √(-4)² - 4(3)-55
2(3)
W = 5, W = -11/3
substitute W=5 to equation L = 3W - 4 to solve for L
L = 3W - 4
L = 3(5) - 4
L = 15 - 4
L = 11
therefore, the dimensions of a rectangle:
length = 11 yard
width = 5 yard
A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased 20%, what is the change in the area of the rectangle?
Answer:
36 ft squared
Step-by-step explanation:
12*5=60 Original Size
12+25% of 12= 16
5+ 20% of 5= 6
6*16=96
The difference between the two:
96-60=36 ft squared difference
Can someone one at least help me with Part A?
Francis is 9 years older than Vincent. Francis is 17 years old. Let v represent how old Vincent is.
Which equation shows an equality between two different ways of expressing how old Francis is?
A. v + 9 = 17
B. v – 9 = 17
C. v x 9 = 17
D.
Answer: A
Step-by-step explanation:
Francis = v+9
17 = v +9 so A
Answer:
it would be a
which ordered pair is a solution to the equation y=3x-10
Answer:
(4,2)
As you plug the coordinates into an equation and it equals
(3x4)-2= 12-2 =10
Have a beautiful day! v(⌒o⌒)v♪
please hurry
what’s the slope of the line that passes through the points (-5,6) and (11,2)??
Answer:
-0.25Step-by-step explanation:11 - (-5) is 16 and 2 - 6 is -4 and -4 divided by 16 is -0.25
Answer:
-0.25Step-by-step explanation:
This is because when calculating the slope of given points, we must use this simple formula:
Slope= rise/run = Δy/Δx(simplified version)
The actual formula is
slope = (y₂ - y₁) / (x₂ - x₁)PROCESS:1. Find the difference of the x axis'
ANSWER: The difference of the x axis should be 11-(-5)= 16
2. Find the difference of the y axis'
ANSWER: The difference of the y axis should be 2-(6)= -4
3. Substitute these new values into the formula Δy/Δx
ANSWER: You should get -4/16 which is -0.25
4. Your answer will be -0.25
you have been saving money to buy a new pair of shoes. Three different stores are having sales on them. Which store has the best deal. Order from lowest price to the highest price.
Original Price $70
Take 10% off
Then take 10% off that price
Original Price $80
Take 15% off
Then take 10% off
Original Price $90
Take 10% off
Then take $25 of
Answer:
Store 1 has the best deal at $56.70. The order goes as shown below!
Step-by-step explanation:
Store 2 - $61.20
Store 3 - $60.75
Store 1 - $56.70
Hope this helped :)
94.89 x 3.11 ≈
What is the answer?
Answer:
295.1079
Step-by-step explanation:
A passenger train has 12 cars with a total of 204 people on it. How many people per car?
Answer:
17
Step-by-step explanation:
204 / 12 = 17
Can some pls help me with one question I will brainlest
Answer:
whats the question
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
whwieiwisijwjdjejeusjsjs
2.4 x 10^2 and 2.4 x 10^3 expressed in scientific notation?
Answer:
.024 and .0024
Step-by-step explanation:
move the decimal over the amount of spaces that is the exponent.
Please Help ASAP - 10 Points!
What is the value of f(g) at f(21)?
Answer:
46.2
Step-by-step explanation:
if you plug the value given for g into g in the equation, it should look like
2.2(21) which you multiply the two together. and you get 46.2.
hope this helps you...sorry just seen your question now.
how would I go about Simplify 2⁵ ÷ 2³
Answer:
2^8
Step-by-step explanation:
c=(q+k/3)m for q Solve for q.
Answer:
(3 -mk)/3m=q
Step-by-step explanation:
Write an equation of a parabola with a vertex at the origin and the focus at (0,3). Please helpppp meeee???!!
Answer:
y= [tex]\frac{1}{12}[/tex] · x²
Step-by-step explanation:
[tex]\frac{1}{4 times P}[/tex] ·x²
p=3
[tex]\frac{1}{4times3}[/tex] ·x²
9. Consider f(x) = x³+x¹. Would the function be even, odd, neither, or not enough information to determine? A. even B. Odd C. Neither D. Not Enough Information
The function is odd, since
f(-x) = (-x)³ + (-x)
… = (-1)³ x³ - x
… = -x³ - x
… = -(x³ + x)
… = - f(x)
so the answer is B.
18) If Holstein cows produce milk that is on average 3.66% butterfat and Jersey
cows produce milk that is on average 4.5% butterfat, how many gallons of Jersy milk
should be added to every 100 gal of Holstein milk to have milk that is 4% butterfat?
Guys please help me with this question I’m using all my points for this please just help me
Answer:
68 gallonsStep-by-step explanation:
Milk of Holstein cows ⇒ 3.66% butterfatMilk of Jersey cows ⇒ 4.5% butterfatIf we add x gal of 4.5% milk, then we have below equation:
100*0.0366 + x*0.045 = (100 + x)*0.043.66 + 0.045x = 0.04x + 40.045x - 0.04x = 4 - 3.660.005x = 0.34x = 0.34/0.005x = 68 galsomeone please help me with this problem much appreciated
Please help me!!
REALLY FAST PLEASE
Answer:
I would say that the percentage is 2 since
90=100\%(1)
x=95\%(2)
x=85.5
so the answer for this equation is 2% of percentage tax
and will save 85.5
Geppetto is a puppet maker. When the month started, Geppetto had 6 puppets ready to sell. On the ninth day, he had 69 puppets finished.
He made 7 puppets per day for nine days plus that 6