Answer:
Corson had a better performance at the skills competition.
Step-by-step explanation:
In order to determine which player had a better performance at the skills competition, we need to find the percentage performance of both the players.
Therefore,
Corson's percentage performance
[tex] =\frac{5}{7}\times 100= 71.43%[/tex]
Charleigh's percentage performance
[tex] =\frac{3}{5}\times 100= 60%[/tex]
[tex] \because [/tex] Corson's percentage performance > Charleigh's percentage performance
So, Corson had a better performance at the skills competition.
Which linear function represents the line given by the point-slope equation y + 7 = (x + 6)?
A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 22% of the employees needed corrective shoes, 29% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work
Answer:
0.48 = 48% probability that an employee selected at random will need either corrective shoes or major dental work
Step-by-step explanation:
I am going to solve this question treating these events as Venn probabilities.
I am going to say that:
Event A: Employee needed corrective shoes.
Event B: Employee needed major dental work.
22% of the employees needed corrective shoes
This means that [tex]P(A) = 0.22[/tex]
29% needed major dental work
This means that [tex]P(B) = 0.29[/tex]
3% needed both corrective shoes and major dental work.
This means that [tex]P(A \cap B) = 0.03[/tex]
What is the probability that an employee selected at random will need either corrective shoes or major dental work?
This is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Replacing the values that we have:
[tex]P(A \cup B) = 0.22 + 0.29 - 0.03 = 0.48[/tex]
0.48 = 48% probability that an employee selected at random will need either corrective shoes or major dental work
12. The value of 0.23 +0.22 is
Answer:
0.45
Step-by-step explanation:
I hope this helps :)
Answer:
x= 0.2323 1
10x =2.323 2
100x= 23.23 3
on subtracting 1 from 3
99x= 23
x = 23/99
similarly 0.22 will be 22/ 99
so by adding 23/99 and 22/ 99 we get required value
23/99 + 22/99 = 45/ 99
Joelle wears a uniform to school. These are the uniform pieces she has:
Skirts Tops Sweaters
tan white blue
blue
red
white
brown blue
Each day she wears a skirt, a top, and a sweater.
How many combinations of one skirt, one top, and one sweater can she make?
A. 3
B. 8
What is the equation for g(x)=
Answer:
g(x) = -(x + 3)^2 - 1
Step-by-step explanation:
g(x) has a peak, and goes down on both sides, it needs a negative sign. From the vertex, when x increases by 1, y decreases by 1, and when x increases by another 1, y decreases by 3. a = -1. The function is 3 units to the left and 1 unit down. That will make h = -3 and k = -1 to the function g(x) = a(x - h)^2 + k.
Plug the values in to get the answer.
(5+2×8)/6=x(4+6) what is the value of x ?
Answer:
Step-by-step explanation:
Answer:
x= 7/20
Step-by-step explanation:
(5+2×8)/6=x(4+6)
(5+16) /6 = 4x+6x
21/6=10x (divide 21/6 by 3)
7/2=10x
7/2×1/10= x
x= 7/20
Hope this helps :)
Keep Smiling
What is the value of x in the equation of 4x + 1.3 = - 7.9
Answer:
x = -2.3
Step-by-step explanation:
4x + 1.3 = -7.9
First we want to combine the like terms.
Subtract 1.3 from both sides.
4x = -9.2
Now we want to isolate x by dividing both sides by 4.
x = -2.3
Check your answer by plugging x back into the original equation.
4x + 1.3 = -7.9
4(-2.3) + 1.3 = -7.9
Multiply.
-9.2 + 1.3 = -7.9
Add.
-7.9 = -7/9
Your answer is correct.
Hope this helps!
Step-by-step explanation:
4x + 1.3 = - 7.9
4x = - 7.9 - 1.3
4x = - 9.2
x = - 9.2/4
= - 2.3
please help!!!
i would really apreciate it
Answer:
it should be the graph on the bottom right
Step-by-step explanation:
The income should be more than the cost in order to make a profit and that happens for Leanne when she sells 8 quilts, so the 8 should be on the x-axis (the axis named "Quilts Sold")
The income should be 0 in the beginning bc when she sells 0 quilts she will be earning 0.
after selling 8 quilts her income will be higher than her costs
(Though naming the y-axis as "profit" is not accurate bc when she sells 0 quilts she will lose money since she will be spend money to make the quilts but not earn the money to compensate for the cost).
with all of these reasons combined the correct should be the one on the bottom right
The least-squares regression line is: Group of answer choices a. the line that passes through the most data points. b. the line that minimizes the sum of the squares of the vertical distances from each point to the line. c. the line such that half of the data points fall above the line and half fall below the line d. all of the above are correct
Answer:
a. the line that passes through the most data points.
Step-by-step explanation:
The least-squares regression line is the line that passes from mostly all the data points also this line would be located on a scatterplot that minimizes the distance square from the points to the line
Therefore as per the given situation, the option a is correct
Hence, the rest of the given options would be wrong
A jar holds 475 milliliters of honey. How many liters will 27 jars hold?
O 12.825 liters
O 1,282 liters
O 12,825 liters
O 128,250 liters
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Answer:
(a) 12.825 liters
Step-by-step explanation:
"Milli-" is the SI prefix for 1/1000. So, 475 milliliters is 475/1000 liters, or 0.475 liters.
27 of these will be a volume of ...
(27)(0.475 L) = 12.825 L . . . . matches the first choice
Compare and contrast expanding and simptying
algebraic expressions with simplifying numeric
expressions. For example, compare simplifying 3(x - 2) +
(x - 1) with 3(5 - 2) + (5 – 1)
Answer:
With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.
Step-by-step explanation:
Welcome for the answer. This answer is for good intentions only, report if necessary. Thank you and have a good rest of your day!Answer:
Algebraic expressions have terms, Terms must be like to add and subtract, You can’t always follow the order of operations with algebraic expressions.
Step-by-step explanation:
Can anyone help! I can’t figure out the answer.
what
is the quistion cause can't nobody see that
What is the volume of the figure below if each unit cube has a side length of one centimeter?
A.12cm3
B.24 cm3
C.36 cm3
D.48 cm 3
Answer: C
Step-by-step explanation:
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e−4x, [0, 2] Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. No, f is not continuous on [0, 2]. There is not enough information to verify if this function satisfies the Mean Value Theorem. No, f is continuous on [0, 2] but not differentiable on (0, 2). Yes, f is continuous and differentiable on , so it is continuous on [0, 2] and differentiable on (0, 2) . If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE).
Answer:
(a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.
(b) [tex]c =0.51995[/tex]
Step-by-step explanation:
Given
[tex]f(x) = e^{-4x};\ [0,2][/tex]
Solving (a); Does the function satisfy M.V.T on the given interval
We have:
[tex]f(x) = e^{-4x};\ [0,2][/tex]
The above function is an exponential function, and it is differentiable and continuous everywhere
Solving (b): The value of c
To do this, we use:
[tex]f'(c) = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex][a,b] = [0,2][/tex]
So, we have:
[tex]f'(c) = \frac{f(2) - f(0)}{2 - 0}[/tex]
[tex]f'(c) = \frac{f(2) - f(0)}{2}[/tex]
Calculate f(2) and f(0)
[tex]f(x) = e^{-4x}[/tex]
So:
[tex]f(2) = e^{-4*2} = e^{-8} = 0.00033546262[/tex]
[tex]f(0) = e^{-4*0} = e^{0} = 1[/tex]
This gives:
[tex]f'(c) = \frac{0.00033546262 - 1}{2}[/tex]
[tex]f'(c) = \frac{-0.99966453738}{2}[/tex]
[tex]f'(c) = -0.4998[/tex]
Note that:
[tex]f'(x) = (e^{-4x})'[/tex]
[tex]f'(x) = -4e^{-4x}[/tex]
This implies that:
[tex]f'(c) = -4e^{-4c}[/tex]
So, we have:
[tex]f'(c) = -0.4998[/tex]
[tex]-4e^{-4c} =-0.4998[/tex]
Divide both sides by -4
[tex]e^{-4c} =\frac{-0.4998}{-4}[/tex]
[tex]e^{-4c} =0.12495[/tex]
Take natural logarithm of both sides
[tex]\ln(e^{-4c}) =\ln(0.12495)[/tex]
[tex]\ln(e^{-4c}) =-2.0798[/tex]
Apply law of natural logarithm
[tex]\ln(e^{ax}) =ax[/tex]
So:
[tex]-4c =-2.0798[/tex]
Solve for c
[tex]c =\frac{-2.0798}{-4}[/tex]
[tex]c =0.51995[/tex]
Can someone please explain the answer step by step pls.
Answer:
a) x= 29, y= 87
b) x= 19, y= 45
Step-by-step explanation:
Q5. a) Let the first number be x and the second number be y.
The sum of 2 integers is 116.
x +y= 116 -----(1)
The second number is three times the first number.
y= 3x -----(2)
Substitute (2) into (1):
x +3x= 116
4x= 116
x= 116 ÷4
x= 29
Substitute x= 29 into (2):
y= 3(29)
y= 87
b) Let the smaller number be x and the larger number be y.
x +y= 64 -----(1)
y -x= 26 -----(2)
Since we have to use substitution to solve the equations, let's first rewrite an equation to make one of the variables the subject of the equation.
From (1):
x= 64 -y -----(3)
Substitute (3) into (2):
y -(64 -y)= 26
y -64 +y= 26 (expand bracket)
2y= 26 +64 (simplify, +64 on both sides)
2y= 90
y= 90 ÷2
y= 45
Substitute y= 45 into (3):
x= 64 -45
x= 19
Is the following relationship a function?
Answer:
yes it's a inverse function
Answer:
Yes it is
Step-by-step explanation:
To remeber, if none of the lines overlap or crosses each other, its a function.
Identify the coefficient and the exponent for each term of 2x^5– 3x. The coefficients are 5 and 1. The exponents are 2 and - 3. The coefficients are 2 and 3. The exponents are 5 and 0. O The coefficients are 2 and - 3. The exponents are 5 and 0. The coefficients are 2 and - 3. The exponents are 5 and 1.
Answer:
The coefficients are 2 and -3
The exponents are 5 and 1
Step-by-step explanation:
Given
[tex]2x^5 - 3x[/tex]
Required
The coefficient and exponent
First, identify the terms.
The terms are: [tex]2x^5[/tex] and [tex]- 3x[/tex]
The coefficient are the numbers written before the variables
The exponents are the power of the variables
So; for : [tex]2x^5[/tex]
[tex]Coefficient = 2[/tex]
[tex]Exponent = 5[/tex]
For [tex]- 3x[/tex]
[tex]Coefficient = -3[/tex]
[tex]Exponent = 1[/tex]
Evaluate the function for the indicated values of x.
f(x)=
2x + 1 x 3-5
x? -5
3- X x 25
f(-10) =
f(2)=
f(-5) =
f(-1) =
f(8) =
DONE
Answer:
f(2)
Step-by-step explanation:
A=?
C=?
1= 57, find angle 4
3= 63 find angle 2
2= 2x+6 and 3=3x-1 find x
AD=6cm and BD=12cm find BC
Step-by-step explanation:
1. m(angle A) is 90 degrees............[ tangent drawn from the centre of the circle is always perpendicular to the circle]
2.m(angle C) is also 90 degrees....[ tangent drawn from the centre of the circle is always perpendicular to the circle]
3. m(angle 1) is 57 degrees, angle A is 90 degrees, .....(given)
m(angle 4) + m(angle 1) + angle A = 180 ...............[ sum of measures of a triangle is always 180 degrees]
m(angle 4) = 180 - ( 57 + 90)
= 33 degrees
4. m(angle 3 ) is 63 degrees, m(angle C) is 90 degrees, .........[given]
m(angle 3) + m(angle 2) + angle C = 180 ...............[ sum of measures of a triangle is always 180 degrees]
m(angle 2) = 180 - ( 63 + 90)
= 27 degrees
Fing Using Addil
The number of boxes of cookies sold by Imelda was 36 more than the number of
boxes of cookies sold by Keiko. The number of boxes of cookies sold by Sarah
was 38 fewer than the number sold by Keiko. Write an algebraic expression for
each quantity. Use x to represent the unknown value.
Answer:
keiko- x
imelda- x+ 36
Sarah- x- 38
Step-by-step explanation:
keiko is x since we have not been given his number of boxes.because imelda's number of boxes was 36 more than keiko's, you will add the x which is for keiko and 36 for imelda(x+36).and sarah's number of boxes will be x-36 because we have been told her number of boxes is 38 fewer than keiko's.PLZ HELP ASAP (BRAINLIEST + 30 POINTS (show all work)
(7.03) Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36
Write in factored form: ( )2
Answer:
x² - 12x + 36
factored: (x - 6)(x - 6)
For brainliest please help!
Answer:
I think its y-x, if y >x.
Step-by-step explanation:
3 x ( 15 - 11 ) + 6= ?
help help help
Answer:
12x + 6
Step-by-step explanation:
solve 9x-10÷2=x+9
explain how
Answer:
x = 4
Step-by-step explanation:
20% of a restaurant customers order the chef’s special. 230 customers are anticipated to dine at the restaurant tonight. The standard deviation for this binomial distribution is? Round your answer to 3 decimal places
Answer:
i don't knwo
Step-by-step explanation:
i
SOMEONE PLS HELP ASAP
Answer:
a. (2,2) (4,4) (6,6)
b. start on point (2,2) and go up 2 and over 2 or (x·1, y·1)
c. Ever y-coordinate on the y-axis equals 17.
help please! by what fraction would you multiply 8 1/2 so that the proudct is about 5 explain your reasiong
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Answer:
5/8 or 5/9
Step-by-step explanation:
The fraction will be exactly ...
5/(8 1/2) = 10/17 ⇒ (8 1/2)×(10/17) = 5
__
The fraction will be approximately ...
5/8 or 5/9
The denominator will be a number that makes (8 1/2)/(denominator) ≈ 1. For that denominator, the numerator will be 5, so that we have ...
(8 1/2) × (5/denominator) ≈ 5
(8 1/2)/(denominator) ≈ 1 . . . . . . . . divide by 5
If we want the denominator to be an integer, we could choose either 8 or 9. If we choose 8, the result will be slightly more than 5; if we choose 9, the result will be slightly less.
(8 1/2) × (5/8) = 5.3125 ≈ 5
(8 1/2) × (5/9) = 4.722... ≈ 5
Either 5/8 or 5/9 will give a product of about 5.
Answer:
Step-by-step explanation:
Pattern A follows the rule "subtract 3" and Pattern B follows the rule "subtract 4." Pattern A 20 17 14 11 8 Pattern B 24 20 16 12 8 Which ordered pairs are formed from combining a term in Pattern A with its corresponding term in Pattern B? Select all correct answers. (17, 20) (20, 24) (12, 11) (8, 8) (14, 20) (20, 16)
Answer:
(20,24) (17,20) and (8,8)
Hope this helps
Step-by-step explanation:
The scatterplot below shows a data set
and an approximate trend line for the
data.
7
6
5
3
1
0 10 20 30 40 50 60 70
Which is the best estimate of the value of
x that corresponds to y = 3? (8.18, 8.10,
SIE, SIF)
Where does
F 35
the line y = 3
G 25
intersect the
trend ine?
H 50
10
Gus bought a salad for $6 and two pizza's. If he paid a total of $36, what equation represents finding the cost of one pizza?
Answer:
15 dollars each pizza
Step-by-step explanation:
2 pizzas (15 + 15 = 30)
30 + 6 = 36
Answer:
15
Step-by-step explanation:
15+15=30+6 =36