Using z-scores, it is found that a scale of 40 on the first scale is equivalent to a score of 55 in the new standardized scale.
What are z-scores?The z-score of a measure X of a distribution with mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is above(in case the score is positive) or below(in case the score is negative) the mean. Looking at the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.For the first scale, the parameters are given as follows:
[tex]X = 40, \mu = 37, \sigma = 6[/tex]
Hence the z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (40 - 37)/6
Z = 0.5.
For the second scale, we want to find X when Z = 0.5, considering the following mean and standard deviation:
[tex]\mu = 50, \sigma = 10[/tex]
Hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
0.5 = (X - 50)/10
X - 50 = 5
X = 55.
A scale of 40 on the first scale is equivalent to a score of 55 in the new standardized scale.
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Please help me redo this vin diagram. I will give a Brainly and extra pouts.
Answer:
see attached
Step-by-step explanation:
You want a Venn diagram that represents the flavor preferences of 135 students.
Venn DiagramThe diagram you show is a good start. It usually works best to start by filling in the center spot, where all three circles overlap. You have correctly identified the number liking all three flavors as 15.
Working outward, the next step is to fill in the numbers for those who like two flavors. These numbers already include the number who like all three. This means ...
caramel + vanilla (only) = (caramel + vanilla) (28) - (caramel +vanilla +chocolate (15)
caramel + vanilla (only) = 28 -15 = 13
Similar computations are done for the other "likes 2 only" spots on the diagram:
chocolate + caramel (only) = 31 -15 = 16
chocolate + vanilla (only) = 22 -15 = 7
In like fashion, the numbers for one flavor only need to subtract out the numbers already inside the circle for that flavor.
chocolate (only) = 63 -16 -15 -7 = 25
Finally, the number of students having no preference is found by subtracting the numbers inside the parts of the circles from the total number of students:
no preference = 135 -111 = 24
The attachment shows the completed diagram.
6. Explain why (4, 1) is not a solution to the equation y=3x + 1.
Answer:
x is 4 and y is 1
So we put 3 x 4 + 1
if it's equal 1 (since y is 1)
but in this case it equals 13 so it's wrong
Answer:
see explanation
Step-by-step explanation:
to determine if (4, 1 ) is a solution of the equation, substitute the x and y coordinates into the equation and if both sides are equal then it is a solution.
y = 3(4) + 1 = 12 + 1 = 13 ≠ 1
since y ≠ 13 then (4, 1 ) is not a solution to the equation
Convert 10.6% to a fraction in the lowest terms.
10.6% is equivalent to 1/9.43 as a fraction in the lowest terms.
To convert 10.6% to a fraction in the lowest terms, we divide the percentage by 100 and simplify if necessary.
10.6% can be written as 10.6/100.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 10.6 in this case.
10.6/100
= (10.6 ÷ 10.6) / (100 ÷ 10.6)
= 1/9.43
Since 1 and 9.43 do not share any common factors other than 1, the fraction 1/9.43 is already in its lowest terms.
Therefore, 10.6% is equivalent to 1/9.43 as a fraction in the lowest terms.
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-12[tex]-12\ \textless \ \frac{1}{2}\left(4x+16\right)\ \textless \ 18[/tex]
The solution to the given inequality is -10 < x < 5.
How to solve a compound inequality involving the and operation?
To solve a compound inequality involving the and operation, we solve each inequality, then find the intersection of these solutions.
For this problem, the inequality is given by:
-12 < 0.5(4x + 16) < 18.
Multiplying all the terms by 2:
-24 < 4x + 16 < 36
Hence:
4x + 16 > -24
4x > -40
x > -10.
4x + 16 < 36
4x < 20
x < 5
The intersection of these two solutions is:
-10 < x < 5.
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Please help find the range
Answer:
Any Nber between 0-58 or 1-59
Step-by-step explanation:
Well you are already given the range which is 58. The question is asking for two number that are in the range. The range 58 means it can't be greater than 59. The range is how far apart the great y vaule is from the lowest y vaule.
Hope this helps!
Have any questions? Feel free to ask
Mark all of the statements that are true.
A. The domain for this function is the set {-5).
B. All real numbers are in the range of this function.
C. The domain for this function is all real numbers.
D. The range for this function is the set {-5).
E. This graph is not a function because the value of y is the same for every value of x
Option E:
This graph is not a function because the value of y is the same for every value of x
Solution :
Domain:
The domain of a function is the set of its possible inputs, i.e., the set of input values where for which the function is defined. In the function machine metaphor, the domain is the set of objects that the machine will accept as inputs.
For example, when we use the function notation f:R→R, we mean that f is a function from the real numbers to the real numbers. In other words, the domain of f is the set of real number R (and its set of possible outputs or codomain is also the set of real numbers R).
relation represents y as a function of x
1) is NOT a function of if there are two or more points with the same − , but
− .
2) is a function of if each has a different
There is a technique called the vertical line test that is often used to determine if a graph represents y
as a function of x
In this question only a horizontal line is present.
Option E:
This graph is not a function because the value of y is the same for every value of x
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1. Factor by grouping
a² + ab - 56b²
Answer: (a-7b)(a+8b)
Step-by-step explanation:
a² + ab - 56b²=
a² + 8ab -7ab - 56b²=
a(a+8b) -7b(a+8b)=(a-7b)(a+8b)
Directions: Write the following in set-builder notation. Input your answer inside the box provided for each given. Do not put a space in between symbols in your answer. Follow the format of the given example below.
1. A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
2. E is the set of letters in the word “notation”.
Answer:
1. A = {x:x is the set of natural number <= 10}
2. E = {x:x is the set of natural number <= 8}
The perimeter of the triangle shown is 89 meters. Find the length of each side.
Greetings from Brasil...
The perimeter is the sum of all sides of the triangle. In this case
P = (2X) + (X) + (4X - 9)
as P = 89
89 = (2X) + (X) + (4X - 9)
89 = 7X - 9
7X = 98
X = 98/7
X = 14X:
X meters = X = 14
---------------------------------------------
2X:
2X meters = 2 · X = 2 · 14 = 28
---------------------------------------------
(4X - 9):
(4X - 9) meters = (4 · X - 9) = (4 · 14 - 9) = (56 - 9) = 47
2d+\sqrt[3]{-45d} d=75
Answer:
Given d = 75, respectively,
135
Step-by-step explanation:
[tex]2\left(75\right) = 2 \cdot 75\\= 150\\\\\sqrt[3]{-45\left(75\right)}\\\left(75\right)=75\\\sqrt[3]{-45\cdot \:75}\\45\cdot \:75=3375\\\sqrt[3]{-3375}\\\sqrt[3]{-3375}=-\sqrt[3]{3375}\\-\sqrt[3]{3375}\\-\sqrt[3]{15^3}\\\sqrt[3]{15^3}=15\\=15\\\\=150-15\\=135[/tex]
1 N b In Fig. R49 b, PT is a tangent at T to circle LMNT such that PT || LN. i Show that ANTL is isosceles. ii Find NTM. T M 498 L 36° P
Answer:
don't know that i'm looking for that to
Anna and Julia are at point P. Point Q is due North of point P. They disagree about the shortest route from P to Q. Anna walks on a bearing of 330°, and then changes to a bearing of 040°, which takes her straight to Q. Julia walks 3 km on a bearing of 0200, after which she walks on a bearing of 300°, which then takes her straight to Q. Who took the shorter route?
The Shorter route as per the bearing calculations is taken up by Julia.
What is a bearing?
The angle from the north line, expressed in degrees, is the correct bearing to a given point. The real bearing will simply be referred to as the bearing.A point's bearing is the number of degrees inside the angle measured counterclockwise from the north line towards the line connecting the point and the compass's center.When describing the direction from one point in relation to another, a bearing is utilized.Bearing calculations are illustrated below:
Route Taken up by Anna
360-330= 30°
First angle =90-30= 60°
Second angle= 60+(90-40) =110°
Third angle= 180-(110+30)= 40°
Route taken up by Julia:
First angle =20°
Second angle= 300-(180+20)=100°
Third angle=180-(20+100)=60°
Hence, the Shorter route as per the bearing calculations is taken up by Julia and bearing diagram is attached with the solution as an image.
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(2+i)-(5-4i)
Find the difference of the following expression
Answer:
-3 + 5i
Step-by-step explanation:
We can remove the parentheses
2 + i - 5 + 4i
Collect the like terms and do the math
-3i + 5i
8. A figure has two pairs of parallel sides and four right angles. The figure is
translated 4 units down. How many parallel sides does the image have?
The image would also have two pairs of parallel sides
How many parallel sides does the image have?The given parameters are:
Two pairs of parallel sides Four right angles. Translation down by 4 unitsThe translation transformation is a rigid transformation
This means that, it keeps the orientation that is being transformed
The initial figure has two pairs of parallel sides
Hence, the image would also have two pairs of parallel sides
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A local daycare has a daily operating cost of $900 plus a cost of $250 per child that attend. If a parent pays $420 per child, which inequality could be used to determine the number of children, c, they must accept to make money and become profitable?
a. 450c < 900+ 250c
b. 250c > 900+450c
c. 450c > 900 + 250c
d. 250c < 900 + 450c
450c > 900 + 250c;
For business to be profitable;
Selling price of daycare services > Cost price;
Payment for daycare of 1 child = $450
Payment for daycare of 'c' children = $450 × c;
= $450c;
Operating cost for 1 child = $250;
Operating cost for 'c' children = $250c;
Total daily operating cost = $900 + $250c;
Therefore;
450c > 900 + 250c;
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f(x) =2x | g(x)=-8x+2 | h(x)=x^2+x+3
Find f(g(6))
Find g(h(-4))
Find g((f)x)
With how you solved it please! (Will give first correct answer brainliest
Step-by-step explanation:
f(x) = 2x
g(x) = -8x + 2
h(x) = x² + x + 3
= f(g(6))
= 2x
= 2.(-8x + 2)
= 2.(-8.6 + 2)
= 2.(-48 + 2)
= 2.(-46)
= -92
= g(h(-4))
= -8x + 2
= -8.(x² + x + 3) + 2
= -8.((-4)² + (-4) + 3) + 2
= -8.(16 - 1) + 2
= -8.15 + 2
= -120 + 2
= -118
= g(f(x))
= -8x + 2
= -8.(2x) + 2
= -16x + 2
a restaurant offers a $12 dinner special that has 7 choices for an appetizer, 10 choices for an entrée, and 3 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?
a meanl can be chosen __ ways
a meal can be chosen is 546 different ways.
6. What is the area in square feet of a 100 yard by 60 yard foot-
ball field?
Answer:
6000 [tex]yd^{2}[/tex]
Step-by-step explanation:
Take the length and multiply it by the width.
100 x 60 = 6000
Answer:6,000 yards
Step-by-step explanation:
100 yards x 60 yards = 6,000yards
ome Tax A certain state uses the following progressive tax rate for calculating individual income tax: Income Range ($) 0 - 2000 2001 - 9000 Progressive Tax Rate 2% 5% 9001 and up 5.4% A Calculate the state income tax owed on a $30,000 per year salary. tax = $[?] Round your answer to the nearest whole dollar amount. Enter
The state income tax owed on a $30,000 per year salary is $1,524
What are the applicable tax rates?
The applicable tax rates are that the first $2,000 of taxable income is taxed at 2%, such that $9000 minus the earlier $2000, is taxed at 5% and any taxable income beyond $9,000 is taxed at 5.4%, in essence, the income tax owed by a taxpayer whose taxable income is $30,000 is computed thus:
income tax on first threshold=$2000*2%=$40
income tax on second threshold=($9000-$2000)*5%=$350
income tax on the last threshold=($30,000-$9,000)*5.4%=$1,134
total state income tax owed=$40+$350+$1,134
total state income tax owed=$1,524
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= How many gallons of a 60% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 50% antifreeze?
Answer:
120
Step-by-step explanation:
60 gallons of 30% antifreeze means there are 18 gallons of antifreeze.
Let the number of gallons of 60% antifreeze be x. Then,
[tex]\frac{0.6x+18}{x+60}=\frac{1}{2} \\ \\ 1.2x+36=x+60 \\ \\ 0.2x=24 \\ \\ x=129[/tex]
Algebra 1 > J.7 Solve linear equations: complete the solution EVP
Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
11d4 14 = -7
11d 18 = -7
Submit
11d =
d =
Subtract 4 from both sides
Add 4 to both sides
Subtract 4 from both sides
Work it
A school needs 3,198 notebooks for next year. If the notebooks come in packages of 82, how many packages should the school buy?
Answer:
The school should buy 39 packages.
Step-by-step explanation:
3198 notebooks
82 notebooks = 1 package
3198÷82 = 39
(Eg: you have 4 notebooks and there are 2 in each package. How many packages are there? 4÷2 = 2 So 2 packages)
What is the decimal rule?
1.2 x (-5) = ?
I got -60 but it’s saying it’s the incorrect answer and I’m not sure what I’m doing wrong.
Answer:
-6
Step-by-step explanation:
1 x -5 is still -5, and the do .2 x -5 = -1 -1+-5= -6
What is (−114)(52)(−4)?
−23,712
−2,792
2,792
23,712
Answer:
Step-by-step explanation:
multiplication no need to care about order
(-114)(52*4)
=(-114)(208)
=(-100-10-4)(200+8)
=-20000-800-2000-80-800-32
=-23712
The product of the given numbers is 23,712.
The given expression is (−114)(52)(−4).
We need to evaluate the given expression.
What are integers multiplication rules?The rules for integer multiplication are as follows:
The product of two positive integers is always positive.The product of two negative integers is always positive.The product of one positive integer and one negative integer is always negative.Now, (−114)(52)(−4) can be evaluated as follows:
(−114)×(52)=-5,928
So, (-5,928)×(-4)=23,712
Therefore, the product of the given numbers is 23,712.
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1/2(x + 6) = 1/2x - 9
Answer:
i think the question might be wrong.
5
Polygon ABCD and polygon WXYZ can be mapped onto each other using similarity transformations.
DCD fell
20
18
16
14
12
VA
10
8
6
4
2
D
AS
B
X
dilatio
Y
Which sequence of transformations maps polygon ABCD onto polygon WXYZ?
➜x
0 2 4 6 8 10 12 14 16 18 20
W
mago with
actor of OF
The correct answer is option D.
The polygon ABCD can be mapped on to WXYZ but first it must be enlarged and then it must be mirrored along BC.
The mirror image of ABCD along BC must be enlarged with a scale factor of 2 to map ABCD to WXYZ.
The scale factor is the ratio of the the object to be transformed to the object with which it is to be compared.
Here, the scale factor is 2 and we must enlarge the image of ABCD along BC to get the desired mapping.
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A rectangle has a perimeter of 50 feet. The length is 5 feet more than the width. Find the width and length of the rectangle.
The width of the rectangle = 10 ft
The length of the rectangle = 15 ft.
What is the Perimeter of a Rectangle?The formula for the perimeter of a rectangle is given as:
Perimeter = 2(length + width).
Let x represent the width of the rectangle
Width of the rectangle = x
Length of the rectangle = x + 5
Perimeter of the rectangle = 50 ft
Thus, we would have the following equation:
2(x + 5 + x) = 50
2(2x + 5) = 50
4x + 10 = 50
4x = 50 - 10
4x = 40
4x/4 = 40/4
x = 10
Width of the rectangle = x = 10 ft
Length of the rectangle = x + 5 = 10 + 5 = 15 ft.
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your history teacher gives you a list of eight study questions. five of the eight will be on the test how many combinations of five can the teacher choose from the eight questions
The number of combinations of five can the teacher choose from the eight questions is 56
How to determine the number of combinations?The given parameters are
Total questions, n = 8
Selected question, r = 5
The number of combinations of five can the teacher choose from the eight questions is calculated using
Combination = [tex]^nC_r[/tex]
This gives
Combination = [tex]^8C_5[/tex]
Apply the combination formula
Combination = 8!/3!5!
Evaluate
Combination = 56
Hence, the number of combinations of five can the teacher choose from the eight questions is 56
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Evaluate the following expression if a = -3 and b = 4. Square root 361 - 2a2 - [b - 17]
Given that a = -3 and b = 4, the numerical value of the expression (√361 - 2a² - [b - 17]) is 14.
What is the numerical value of the expression?Given that;
√361 - 2a² - [b - 17]a = -3b = 4To determine the numerical value of the expression, replace all the occurrence of a and b with -3 and 4 in the respectively and simplify.
√361 - 2a² - [b - 17]
√361 - 2(-3)² - [(4) - 17]
√361 - 2(9) - [4 - 17]
√361 - 18 - [-13]
√361 - 18 + 13
19 - 18 + 13
1 + 13
14
Given that a = -3 and b = 4, the numerical value of the expression (√361 - 2a² - [b - 17]) is 14.
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20 times 40 answer please
Answer: 800
Step-by-step explanation:
Answer:
800
Step-by-step explanation:
