Answer:
6797999012
Step-by-step explanation:
9. C(x) = 800 + 20x (a) 10 (b) 50 (c) 200
Given:
\(c(x)=800+20x\)(a)
Value of function then x is 10.
so:
\(\begin{gathered} c(x)=800+20x \\ x=10 \end{gathered}\)\(\begin{gathered} c(10)=800+20(10) \\ c(10)=800+200 \\ c(10)=1000 \end{gathered}\)(b)
Function at x = 50 then:
\(\begin{gathered} c(x)=800+20x \\ x=50 \\ c(50)=800+20(50) \\ c(50)=800+1000 \\ c(50)=1800 \end{gathered}\)(c)
At x = 200.
\(\begin{gathered} c(x)=800+20x \\ x=200 \\ c(200)=800+20(200) \\ c(200)=800+4000 \\ c(200)=4800 \end{gathered}\)Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households in the region spend in restaurants annually. The employees are looking at how the amount spent annually in restaurants by households led by people ages 25 to 34 compares to households led by people ages 45 to 54. To conduct the research, the employees randomly select 12 households in the region led by people ages 25 to 34 and 12 households in the region led by people ages 45 to 54. Each household is asked how much was spent in restaurants during the previous 12 months. The amounts spent for each household, in dollars, are provided in the samples below. One household in each group spent $1,851 in restaurants during the previous 12 months. Calculate the z-score for the household that spent $1,851 for each group. Use a TI-83, TI-83 plus, and TI-84 calculator.
Round your answers to two decimal places.
25 to 34 45 to 54
1329 2268
1906 1965
2426 1149
1826 1591
1239 1682
1514 1851
1937 1367
1454 2158
Answer:
The z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.
Step-by-step explanation:
The data provided is as follows:
25 to 34 45 to 54
1329 2268
1906 1965
2426 1149
1826 1591
1239 1682
1514 1851
1937 1367
1454 2158
Compute the mean and standard deviation for the group "25 to 34" as follows:
\(\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01\)
Compute the z-score for the group "25 to 34" as follows:
\(z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37\)
Compute the mean and standard deviation for the group "45 to 54" as follows:
\(\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39\)
Compute the z-score for the group "45 to 54" as follows:
\(z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25\)
Thus, the z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.
Two statements are missing reasons.What reason can be used to justify both statements 2 and 3?
5.4 times 2 3/4 ???????????????????????????????????????????????????
Answer: In decimal form, 14.85
Answer in fraction form: 297/20
Step-by-step explanation:
mark needs to move figure one so it overlaps figure two in exactly two transformation his first transformation is to reflect about the x-axis what should his second be
Answer:
C. Rotate 180° clockwise about the origin.
Step-by-step explanation:
Xan and Katie are twins. Xan weighs 666 pounds 999 ounces, and Katie weighs 888 pounds 111 ounce.
What is the difference, in ounces, between Xan and Katie's weight?
Answer:
Difference in weight is 24 once
Step-by-step explanation:
got it right
which point from the equation would you use? y-7=3(x+9)
Another point on the line is (-9, 7). Ultimately, the choice of which point to use depends on the context or specific requirements of the problem you are solving.
To determine which point to use from the equation y - 7 = 3(x + 9), we need more information.
The equation provided represents a linear equation in the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Without additional context or specific instructions, we can choose any point that satisfies the equation to use as a reference.
For example, if we let x = 0, we can solve the equation for y:
y - 7 = 3(0 + 9)
y - 7 = 3(9)
y - 7 = 27
y = 27 + 7
y = 34
So, one point on the line is (0, 34).
Alternatively, if we let x = -9, we can solve the equation for y:
y - 7 = 3(-9 + 9)
y - 7 = 3(0)
y - 7 = 0
y = 7
So, another point on the line is (-9, 7).
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Please help, I will mark brainliest!
Answer: \frac{n^3-5n^2-3n-27}{n^2-8n-9}
Step-by-step explanation: enter this into a fraction calculator to see what is really is. sorry i needed to put this in a fraction calculator to put it here, i wish i couldve written it normally :(
What is the probability of rolling a "2" on a six-sided cube and flipping a "heads" on a penny.
Round to the nearest whole number. Do not enter a "%" sign.
( marking right answer as brainliest ) sid is an entomologist and records the lengths of ladybugs . over the past month he measured 5,300 cm worth of ladybugs * How many meters was this? *
Answer:
53 meters
Step-by-step explanation:
5300 / 100 = 53
because yes
One of the legs of a right triangle measures 10 cm and the other leg measures 14 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Help QUICKLY PLSSSSSS
Answer:
Using Pythagoras
a² + b² = c²
10² + 14² = c²
100 + 196 = c²
296 = c²
17.20 = ci need help with this
Answer:
20
Step-by-step explanation:
Hello There!
So first we need to determine what the formula for area of a trapezoid is
\(A=\frac{a+b}{2} h\)
where a and b = bases and h = height
the given information is the area and the two bases
so we plug in the given information and solve for h
\(180=\frac{4+14}{2} h\\4+14=18\\\frac{18}{2} =9\\180=9h\)
divide each side by 9
\(\frac{180}{9} =20\\\frac{9h}{9} =h\)
we're left with
h=20
so we can conclude that the height is 20
Read the sentences below. Choose the correct option to show which sentence uses a colon correctly.
a) We’ve chosen two cities to visit London: and Paris.
b) We’ve chosen: two cities to visit London and Paris.
c) We’ve chosen two cities: to visit London and Paris.
d) We’ve chosen two cities to visit: London and Paris.
Answer:
d
Step-by-step explanation:
colons are used to list
log(16x+2) - log(4x+2)= log(2x+4)
Same as my answer last time:
Answer:
NO solution
Step-by-step explanation:
log(16x+2) - log(4x+2) = log((16x+2)/(4x+2)).
remove log
(16x+2)/(4x+2) = 2x + 4
multiply both sides by 2x + 1
8x + 1 = (2x + 4)(2x + 1)
distribute
8x + 1 = 4x^2 + 10x + 4
move to one side
4x^2 + 2x + 3 = 0
factor
but you can't
so you try to use quadratic formula, but you find that the discriminate is less than zero.
So there is no solution when x is a real number.
ASAP PLS ANSWER ONLY THE SMARTEST CAN GET IT RIGHT
Red- 5 skittles
Purple- 8 skittles
Yellow- 1 skittle
Orange- 2 skittles
Green- 4 skittles
1. Tomas reaches in a bowl and pulls out a green skittle. Without replacing the green skittle, what is the probability he picks a yellow skittle.
A. 1/100
B. 1/80
C. 1/95
D. 1/76
2. What is the P(red, then red) without replacement.
A. 1/19
B. 1/16
C. 9/39
D. 9/20
Answer:
A
B
Step-by-step explanation:
that's it
or
Look at this diagram:
M
N
O
P
Q
R
S
T
If
NP
and
QS
are parallel lines and mNOM = 130°, what is mPOM?
If NP and QS are parallel lines and ∠NOM = 130° then the value of ∠POM is 50°.
What is parallel line?Parallel lines are two or more lines in a plane that do not intersect, regardless of how far apart they are.
Despite being located at different distances from one another, parallel lines always have the same slope, which is the same steepness and direction.
Since NP and QS are parallel lines, we have:
∠NOM + ∠MOP = 180° (because NOM and MOP are on a straight line)
Also, the alternate interior angles NOM and POM are equal, so:
∠NOM = ∠POM
Substituting this into the first equation gives:
∠POM + ∠MOP = 180°
We can now solve for ∠POM by substituting the given value:
130° + ∠POM = 180°
∠POM = 50°
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Y-Coordinate
What is the Y-coordinate for each point below? The
y-coordinates are your code. (Use decimals where applicable.)
D
A
B
-2
]]]]
A
D
2 3
4
The numbers together form your code
Answer:
A = -2
B = 2
C = 2
D = 3
Step-by-step explanation:
those are the y- coordinates
PLEASE ANSWER ASAP
which scatterplot does NOT suggest a linear relationship between x and y?
A) I only
B) I and ll only
C) Ill and lV only
D) I, lll, and IV only
Answer:
B
Step-by-step explanation:
Answer:
Answer is C) 3 And 4 only
Step-by-step explanation:
Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
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For how many one-digit whole numbers greater than
0 is the product of the whole number and all its
factors a two-digit number?( )
A. 0
B. 2
C. 3
D. 4
Help me with my math**30 pts** i mark brainiest**
Answer:
3.vertically opposite angle
4.side of a congruent triangle are equal
Really need help!! Please I will mark brainliest right now!
Answer:
6
Step-by-step explanation:
I will give BRAINLIEST if correct need asap
(A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).
What is the explicit formula?
The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence. In general, the explicit formula is the nth term of arithmetic, geometric, or harmonic sequence.
A. The data provided is modeling a geometric sequence.
This is because the common ratio between consecutive terms is a constant value, specifically in this case is the ratio between consecutive terms is multiplied by 2.
B. To find the time Aurora will complete station 5 using a recursive formula,
we can use the formula T(n) = T(n-1) * r,
where T(n) is the time at the nth station, T(n-1) is the time at the (n-1)th station, and r is the common ratio.
In this case T(5) = T(4) * 2
and T(4) = 24 (from the data provided)
Therefore, T(5) = 24 * 2 = 48 minutes
C. To find the time Aurora will complete the 9th station using an explicit formula,
we can use the formula T(n) = T(1) * r^(n-1)
In this case, T(9) = T(1) * 2^(9-1)
and T(1) = 3 (from the data provided)
Therefore, T(9) = 3 * 2^8 = 3 * 256 = 768 minutes
The explicit formula assumes that the first term of the sequence is T(1) and the common ratio of the consecutive term is r.
Hence, (A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).
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An advocacy group claims that the mean braking distance of a certain type of tire is 75 feet when the car is going 40 miles per hour. In a test of 80 of these tires, the braking distance has a mean of 77 and a standard deviation of 5.9 feet. Find the standardized test statistic and the corresponding p-value.
Answer:
The calculated value t = 3.032 > 1.9904 at 5% level of significance
Step-by-step explanation:
Step(i):-
Given mean of the population 'μ'=75 feet
Given mean of the sample(x⁻) = 77
Given standard deviation of the sample(S) = 5.9
Given sample size 'n' =80
Step(ii):-
Test statistic
\(t=\frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }\)
\(t=\frac{77-75}{\frac{5.9}{\sqrt{80} } }\)
t = 3.032
Degrees of freedom ν=n-1 = 80-1 =79
tabulated value = 1.9904 at 5% level of significance
The calculated value t = 3.032
Final answer:-
The calculated value t = 3.032 > 1.9904 at 5% level of significance
Find x. Round your answer to the nearest tenth of a degree.
The measure of angle x to the nearest tenth of a degree is 51.8°
What is the measure of angle x?The figure in the image is a right triangle.
From the image;
Angle x = ?Opposite to angle x = 11 unitsHypotenuse = 14 unitsTo solve for the measure of angle x, we use one of the six (6) trigonometric ratio.
Sine = Opposite / Hypotenuse.
Plug in the given values and solve for angle x.
sin( x ) = 11 units / 14 units.
Take the sine inverse.
x = sin⁻¹( 11/14 )
x = 51.7867
x = 51.8 degrees.
Therefore, the value of x is 51.8 degrees.
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How many square feet of outdoor carpet will we need for this hole?
The number of square feet needed to cover the hole is 44ft²
How many square feet of outdoor carpet will we need for this hole?To find this, we need to find the area of the green region and subtract the little square that it has inside.
Remember that for a rectangle, the area is the product between the dimensions, then the area of the green region is:
A = 12ft*4ft = 48ft²
The little square has an area:
a = 2ft*2ft = 4ft²
Then the area needed is:
area = 48ft² - 4ft² = 44ft²
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A youth organization collected nickels and dimes for a charity drive. By the end of the 1-day, the youth had collected $70.40. If there were five times as many dimes as nickels, how many each type of coin was collected ?
Let x be the number of dimes collected and y be the number of nickels collected, then we can set the following system of equations:
\(\begin{gathered} 0.10x+0.05y=70.40, \\ x=5y\text{.} \end{gathered}\)Substituting the second equation in the first one, and solving for y we get:
\(\begin{gathered} 0.10(5y)+0.05y=70.40, \\ 0.50y+0.05y=70.40, \\ 0.55y=70.40, \\ y=128. \end{gathered}\)Substituting y=128 in the second equation we get:
\(x=5\cdot128=640.\)Answer: They collected 640 dimes and 128 nickels.
if three apples cost 45 rupees how much with 5 apples cost?
if 3 apples cost 45 rupees
1 apple costs 45 : 3 = 15 rupees
how much with 5 apples cost?
5 x 15 = 75 rupees
Answer:
75 rupees
Step-by-step explanation:
Given:
3 apples cost 45 rupees
To Find:
How much with 5 apples cost
Solve:
if 3 apples cost 45 rupees
Since 3 apple cost 45
Thus, Find the cost of 1.
45 ÷ 3 = 15 rupees
Now,
5 x 15 = 75
Thus, 5 apples cost 75 rupees.
~Learn with Lenvy~
Simplify (x-6)(-x-6)
Answer:
36 - x²
Step-by-step explanation:
(x-6)(-x-6) = (-1)(x-6)(x+6) = (-1)(x² - 36) = 36 - x²
this is based on the "well known" (a+b)(a-b) = a²-b²
Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
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