The score that Avery must get on Exam B is given as follows:
470.
What is the z-score formula?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.
For exam A, the mean and the standard deviation are given as follows:
[tex]\mu = 350, \sigma = 20[/tex]
She scored 310, hence the z-score of her grade is given as follows:
Z = (310 - 350)/20
Z = -2.
For exam B, the mean and the standard deviation are given as follows:
[tex]\mu = 550, \sigma = 40[/tex]
To do as well as on exam A, she needs a z-score of -2, hence the grade X is obtained as follows:
-2 = (X - 550)/40
X - 550 = -80
X = 470.
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Please help me asap!
The value of the functions defined in the piecewise function f(1) - f(-7) is 4
How to evaluate the piecewise function?From the question, we have the following piecewise function that can be used in our computation:
f(x) = | x + 8| - 9 if x ≤ -4
-x² - 3x if -4 < x ≤ 1
2x + 7 if x > 1
So, we have the expression to be
f(1) - f(-7)
In the function f(1), we have the x value to be
x = 1
This x value is at the domain -4 < x ≤ 1
So, we make use of
f(x) = -x² - 3x
Substitute 1 for x in f(x) = -x² - 3x
f(1) = -(1)² - 3(1)
Evaluate
f(1) = -4
In the function f(-7), we have the x value to be
x = -7
This x value is at the domain x ≤ -4
So, we make use of
f(x) = |x + 8| - 9
Substitute -7 for x in f(x) = | x + 8| - 9
f(-7) = |-7 + 8| - 9
Evaluate
f(-7) = -8
Recall that
f(1) - f(-7)
So, we have
f(1) - f(-7) = -4 - -8
This gives
f(1) - f(-7) = 4
Hence, the value of f(1) - f(-7) is 4
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200(x-.3)=600 What is the value of X
Answer: X= 3.3 or x= 33/10
Would you use SSS or SAS to prove the triangles are congruent? If there is not enough information to prove the triangles are congruent, write not enough information. Explain your answer.
The true statement is (c) SSS; two congruent sides are given and the third side is congruent by the Reflexive Property of Congruence.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
It is given that:
The sides marked with II are congruent.
The triangles are congruent.
Thus, the true statement is (c) SSS; two congruent sides are given and the third side is congruent by the Reflexive Property of Congruence.
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2x+3y=6
−4x+3y=12
The best way to start off this question is to get rid of the y value as the y value is already equal in both equations. T[tex]-1[/tex]o get rid of the y value, subtract the 2 equations together.
[tex]6x=-6[/tex]
[tex]x=-1[/tex]
Now that you have solved x, you can replace any x value (from either equation). In this scenario, the first equation is easier to solve for the y value.
[tex]2(-1)+3y=6\\-2+3y=6\\3y=8\\y=\frac{8}{3}[/tex]
Thus,
x = [tex]-1[/tex] and y = [tex]\frac{8}{3}[/tex]; [tex](-1,\frac{8}{3} )[/tex]
Hope this helped :)
Josh lives 1 4/5 mile from the park. So far he walked 2/3 of the distance from his house to the park. How many miles has josh walked
Answer:
2 7/15 miles
Step-by-step explanation:
1 4/5 = 1 + 4/5 = 5/5 + 4/5 = (5+4)/5 = 9/5
Then:
1 4/5 + 2/3 = 9/5 + 2/3
9/5 = 27/15
2/3 = 10/15
Then:
9/5 + 2/3 = 27/15 + 10/15 = (27+10)/15
= 37/15
37/15 = 30/15 + 7/15 = 2 + 7/15
= 2 7/15
(10,-8), (20,6) find the slope
Answer:
7/5 decimal form- 1.4
Step-by-step explanation:
Hope this helped ! :D
Apex Motors manufactures luxury cars and sport-utility vehicles. The most likely customers are high-income men and women, and company managers want to initiate an advertising campaign targeting these groups. They plan to run 1-minute spots on business/investment programs, where they can reach 7 million women and 4 million men from their target groups. They also plan 1-minute spots during sporting events, where they can reach 2 million women and 12 million men from their target groups. Apex feels that the ads must reach at least 37 million women and at least 32 million men who are prospective customers. (a) Write the inequalities that describe the constraints on the number of each type of 1-minute spots needed to reach these target groups. (Let x represent minutes of business/investment program ads, and let y represent minutes of sporting events ads.)
The constraints that describe the system of inequalities in this problem are given as follows:
7x + 2y ≥ 37.4x + 12y ≥ 32.How to obtain the constraints?The first step toward obtaining the constraints is defining the variables, as follows:
Variable x: minutes of business/investment program ads.Variable y: minutes of sporting events ads.Apex feels that the ads must reach at least 37 million women, hence, for the amounts of each event, the constraint is given as follows:
7x + 2y ≥ 37.
They also want to reach at least 32 million men, hence the constraint is given as follows:
4x + 12y ≥ 32.
The reaches are already given in millions of people, hence the millions don't need to be inserted into the equations.
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A community swimming pool is 8 yards 4.79 feet wide. How wide is the pool in meters and centimeters?
Conversion ratios:
1 m = 1.09 yd
1 ft = 0.3048 m
1 m = 100 cm
Round the centimeters to the nearest hundredth.
You must show all your work to earn full credit.
Answer:
8 yd = 7.2192 m
4.79 ft = 1.4499 m
7.2192 m + 1.4499 m = 8.6691 m
8.6691 m x 100 cm = 866.91 cm
Is the function represented by the table nonlinear
No, because it has a constant rate of change
If this net were to be folded into a
cube, which number would be
opposite of the number 1?
i need the answer please
Answer:
5
Step-by-step explanation:
The squares with 2, 6, 4, 3 will be all the left, front, right, back sides. The 1 and 5 will flap up/down to be the top and bottom. So 1 and 5 will be opposite from each other.
I need help with this please help me
Answer: 67.38
Step-by-step explanation:
Assuming that [tex]\triangle ACD \cong \triangle BCD[/tex], [tex]m\angle BCD=\frac{134.76^{\circ}}{2}=67.38^{\circ}[/tex] by CPCTC.
2. The larger of two numbers is 3 less than twice the smaller number. If their sum is 27, find each number?
The numbers represented by the statement are 17 and 10
How to determine the numbersRepresent the larger number with x and the smaller number with y
So, we have the following representation from the question
x = 2y - 3
x + y = 27
Substitute x = 2y - 3 in the equation x + y = 27
So, we have the following representation
2y - 3 + y = 27
Evaluate the like terms
3y = 30
Divide both sides by 3
y = 10
Recall that
x = 2y - 3
So, we have
x = 2 * 10 - 3
Evaluate
x = 17
Hence, the numbers are 17 and 10
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PLS HELP IF I GET AN 80 OR HIGHER I GET A DOG!! ILL GIVe BRAINLIEST
Answer:
-14
Step-by-step explanation:
x = 98
x = -7x
98/-7 = -14
x = -14
If it is correct, can you please give me a brainliest? Thank you!
If f(1)=7, f(5)=-3, f(11)=-9, g(7)=11, g(-3)=6 and g(-9)=1, then find f(g(7))
The value of the given composite function f(g(7)) will be -9 for the given data.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
f(1)=7
Take the g function on both sides
g(f(1)) = g(7)
Since, g(7) = 11
Thus, Take f function on both sides,
f(g(7)) = f(11)
Since,f(11)=-9
Thus,f(g(7)) = -9
Hence "The value of composite function f(g(7)) is -9".
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y = x² - x - 22
y = x - 7
Answer: Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(5,−2),(−3,−10)
Equation Form:
x=5,y=−2x=5,y=-2
x=−3,y=−10x=-3,y=-10
Maybe want something different then here:
X intercepts- (7,0)
Y intercepts- (0, -7)
write the equation Y=1/9 x +5 in standard form
Answer:
x - 9y = -45
Step-by-step explanation:
y = 1/9 x + 5 Multiply all the way through by 9 to clear the fraction
9y = x + 45 -9y from both sides
0 = x - 9y + 45 Subtract 45 from both sides
-45 = x - 9y You can rewrite
x - 9y = --45
What is the difference between 0.5 and .12?
check my answer is
.38
Answer: 0.38 is correct!
Step-by-step explanation:
0.50 - 0.12 = 0.38
Your answer is correct
Write an equation in slope-intercept form of the line that passes through (-5, 5) and (5, - 5).
An equation is
Answer:
y=-5x+5
Step-by-step explanation:
the point {-2,1} is on the line given by which equation below
the answer is prolly not B
What expression represents the verbal phrase? 450 minus the quantity three-tenths times a number x
Answer:
Step-by-step explanation:
Answer: "450" - "0.3" x
Step-by-step explanation: the quantity of 3 tenths is 3/10, or in other words, 0.3 because 3 divided by 10 is 0.3
Furthermore, "times a number x" just means " [tex]\frac{3}{10}x[/tex]
I got it wrong but SOS
well, the wording is
"the yards from their goal line as a function of the number of plays"
the number of plays is the independent variable, meaning the dependent variable is the number of yards, hmmm so they're about to start their play on the 5-yard line, meaning the number of plays at this point is 0, zilch, then they move on each 3 plays by 10 yards, so let's make a table
[tex]\begin{array}{ccll} Plays&Yards\\ \cline{1-2} 0&5\\ 3&\underset{5+10}{15} \end{array}\hspace{5em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{15}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{15}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{10 }{ 3 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{ \cfrac{10 }{ 3 }}(x-\stackrel{x_1}{0})\implies y-5=\cfrac{10}{3}x[/tex]
oddly enough, looks like yours :)
Pure gold has a density of 19.32 g/cm³. If a cylindrical piece of pure gold had a mass of 1699.48 g, and a radius
of 2 cm, what is the height of the piece?
The height of the cylindrical piece of pure gold with density and mass of 19.32 g/cm³ and 1699.48g, having a radius of 2cm is 7cm.
What is the height of the piece of the cylindrical gold?The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Also, density is expressed mathematically as;
p = m / v
Given that;
Density of pure gold p = 19.32 g/cm³Mass of the gold cylinder = 1699.48 gRadius of the cylinder r = 2cmVolume of the cylinder V = ?Height of the cylinder h = ?First, we determine the volume of the cylinder.
Density = Mass / Volume
Volume = Mass / Density
Volume = 1699.48g / 19.32g/cm³
Volume = 87.9648 cm³
Next, we determine the height.
V = π × r² × h
87.9648 = 3.14 × (2)² × h
87.9648 = 3.14 × 4 × h
87.9648 = 12.56 × h
h = 87.9648 / 12.56
h = 7cm
Therefore, the height of the cylinder is 7cm.
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Please help me ASAP I’ll mark your answer brainly
A humpback whale is 6,300meters from Billet Bay. If it swims at a constant velocity of 210 meters per minute toward the bay, how much time will it take the whale to get one-third of the way to Billet Bay?
Write your answer as a whole number.
ASAP PLease
Answer: 10 minutes
Step-by-step explanation:
6,300*1/3=2,100
2,100=210x
2,100/210=10
x=10 minutes
PLEASE HELP!! THIS IS DUE TODAY!
Estimate the quotient.
3,411 divided by 53
The estimate is: ___
The quotient of the given expression is 68.
What is the quotient?
A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.
For the given problem,
To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.
Given, 3411 divided by 53
So, the rounding value becomes 3400 divided by 50,
then, 3400/50 = 68
Hence, the quotient is 68.
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Divide.
(32 x³ z² - 16 x⁷ z⁵ - 20 x⁷ z⁷) ÷ (4x⁵ z⁴)
Simplify your answer as much as possible.
This is the simple form of the given equation [tex]\frac{(-4x^4z^3 - 5x^4z^5 + 8) }{(x^2z^2)}[/tex]
What is the polynomial equation?
An algebraic equation, also known as a polynomial equation, in mathematics, is a formula of the form P=0, where P is a polynomial with coefficients in some field, typically the field of the rational numbers.
We have,
(32 x³ z² - 16 x⁷ z⁵ - 20 x⁷ z⁷) ÷ (4x⁵ z⁴)
(32 x³z² - 16 x⁷z⁵ - 20 x⁷z⁷) * 1/(4x⁵z⁴)
[tex]\frac{(32 x^3z^2 - 16 x^7z^5 - 20x^7z^7) }{(4x^5z^4)}[/tex]
[tex]=\frac{(-4x^4z^3 - 5x^4z^5 + 8) }{(x^2z^2)}[/tex]
Hence, this is the simple form of the given equation [tex]\frac{(-4x^4z^3 - 5x^4z^5 + 8) }{(x^2z^2)}[/tex]
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Could someone help me out? I don't get it
A local charity sells a total of 460 tickets to a golf tournament fundraiser. A member ticket costs $50. A non-member ticket costs $65. How many non-member tickets were sold if the total ticket sales are $24,065?
A4
B 65 C 71 D 389
Answer:
C (71)
Step-by-step explanation:
Hi there! I am very happy to answer your question!
[tex]65x+23000-50x=24065[/tex]
[tex]15x+23000=24065[/tex]
[tex]15x=24065-23000[/tex]
[tex]15x=1065\\[/tex]
[tex]x=\frac{1065}{15}[/tex]
[tex]x=71[/tex]
A video streaming company offers two monthly plans. Plan A charges $3 per video viewed plus a flat rate of $8 per month. Plant B charges $5 per video viewed and no additional flat rate.
A write and solve an inequality to determine when the cost of viewing n videos using plan A is less that the cost of viewing n video using plan B _________________
Plan A is less expensive when ____________________
PLEAE GIVE SIMPLE ANSWER WHAT GOES IN THE PLAN B LINE AND WHAT GOES IN THE PLAN A LINE.
Answer:
Plan B: 5n > 8
Plan A: 3n + 8 < 5n
A company logo
is shaped like an equilateral triangle with
2-in.-long sides. What is the height of the
logo? Round to the nearest tenth.
[tex]\textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2} ~~ \begin{cases} s=sides\\[-0.5em] \hrulefill\\ s=2 \end{cases}\implies h=\cfrac{2\sqrt{3}}{2}\implies h=\sqrt{3}\implies h\approx 1.7[/tex]