Answer:
The correct option is (B) 250.
Step-by-step explanation:
A plant can manufacture 100 golf clubs per day for a total daily cost of $7,800.
And 120 golf clubs per day for a total daily cost of $8,400.
Let X = number of golf clubs manufactured per day.
Let Y = total cost of manufacturing golf clubs per day
It is provided that:
(x₁, y₁) = (100, 7800)
(x₂, y₂) = (120, 8400)
Form the least square regression line using two-point form as follows:
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})[/tex]
[tex](y-7800)=\frac{8400-7800}{120-100}\ (x-100)\\\\(y-7800)=30\times (x-100)\\\\y-7800=30x-3000\\\\y=30x+4800[/tex]
The least square regression line to estimate the total daily cost of x golf clubs manufactured daily is:
y = 30 x + 4800
Compute the number of golf clubs manufactured if the total daily cost is $12,300 as follows:
[tex]y = 30 x + 4800\\12300=30x+4800\\30x=7500\\x=250[/tex]
Thus, the correct option is (B).
I need help understanding how to solve this please ASAP!!!!
Answer:
17 cm
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 + 15^2 =c^2
64+225 = c^2
289 = c^2
Take the square root of each side
sqrt(289) = sqrt(c^2)
17 = c
Answer:
The hypotenuse is 17cm
Step-by-step explanation:
Pythagoras theorem is : [tex]a^{2} +b^{2} =c^{2}[/tex]
To work out the hypotenuse of this triangle you would first need to know Pythagoras theorem. The theorem states that [tex]a^{2} +b^{2} =c^{2}[/tex]. A and B are the 2 lengths given in this question and c is the hypotenuse.
The first step in working out the hypotenuse is to square the base of 8, this gives you 64.
Then you would need to square the height of 15, this gives you 225. This is because we are substituting the values into a and b.
Then the next step is to add the values of 64 and 225, this gives you 289.
The final step is to root the value of 289, which gives you 17cm. This is because as c is the hypotenuse while the value worked out is c squared and so to work out c you would have to root it.
1) Square the base of 8cm.
[tex]8^{2} =64[/tex]
2) Square the height of 15cm.
[tex]15^{2} =225[/tex]
3) Add 64 and 225.
[tex]64+225=289[/tex]
4) Root the value of 289.
[tex]\sqrt{289}= 17cm[/tex]
Which of these is the standard form of the following function?
f(x) = -9(x + 5)2 + 4
f(x) = -9x2 - 90x - 221
AX) = 9x2 - 90x - 221
f(x) = -9x2 – 180x – 221
RX) = 9x2 - 180x + 221
Answer:
A
Step-by-step explanation:
Given
f(x) = - 9(x + 5)² + 4 ← expand parenthesis using FOIL
= - 9(x² + 10x + 25) + 4 ← distribute parenthesis by - 9
= - 9x² - 90x - 225 + 4 ← collect like terms
= - 9x² - 90x - 221 ← in standard form
Answer: Bro write the question better
Step-by-step explanation:
Find the area. Will mark brainliest
Answer:
54 sq in.
Step-by-step explanation: 9x12= 108 108 divided by 2 = 54
so yeah
Giving Brainliest if correct!!
Marcus realized that he misplaced his credit card and that it may have been stolen. He was worried that it could be misused. He called the credit
card company and notified them that the card had been misplaced. A few hours later, he got a text message stating that a purchase of $1,650
had been made using his card. He called the credit card company again and reported this fraudulent transaction. He also informed them that he
had notified them the card was missing before the fraudulent transaction was made. The credit card company official reassured Marcus that he would not have to pay this amount. Which law protects Marcus in this scenario?
A. Federal Trade Commission Act
B. Fair Debt Collection Practices Act
C. Fair Credit Billing Act
D. Dodd-Frank Wall Street Reform and Consumer Protection Act
Answer:
C. Fair Credit Billing Act
Step-by-step explanation:PLATO
Which could be the missing data item for the given set of data if the
median of the complete data set is 50?
21 23 60 60 50 54 54 59 26 15 43 15
OA) 18
OB) 24
OC) 45
OD) 57
Answer:
It is D, and or 57
Step-by-step explanation:
Max Spent his allowenc on snacks at the gas station.he brought 3 packs of gum $1.29 each and two candy bars at $0.89 how much did he spend in all
Answer:
$5.65
Step-by-step explanation:
1.29 x 3 + 0.89 x 2= $5.65
:3
Create a story that is about one page in length using at least five different algebraic expressions and/or equations. These are some example story starters that you can adapt from or expand upon. Be creative and come up with your own characters and scenarios and create expressions and equations as well
Answer:
A character is offered five different jobs. They all include an hourly wage, as well as a set weekly base pay. One example is a job that pays $8.50 an hour, plus an additional $25 bonus for the week. (Weekly base pay is what you automatically get paid for working the entire week. A bonus is money you earn in addition to the weekly base pay.) Story Starter 2: A character is searching for the best cell phone plan to buy. One plan costs $25 a month, plus $0.89 per minute used. Story Starter 3: A character is trying to decide which cab to choose from the five available. All the cabs have different rates per mile. They also charge different flat rates in addition to the rates per mile. One cab is offering a rate of $0.75 per mile, plus a flat fee of $25.
Step-by-step explanation:
Elene and abbi are in a race. Elene can run 3 meters per second and abbi can run 2 meters per second. Elene gives abbi a 10 meter head start. How long will it take for elene to catch abbi?
Answer:
10 Seconds
Step-by-step explanation:
Speed of Elene = 3m/s
Speed of Abbi = 2m/s
Let the time be t seconds taken by Elene to catch abbi.
Distance for any speed S and time is calculated by formula given below
Distance = speed * time
distance covered by Elene in time t = 3m/s * t = 3t m -->equation Adistance covered by Abbi in time t = 2m/s* t = 2t m --> equation BSince it is given that Elene has given abbi 10 m head start it means that
Elene has to run extra 10 meters than Abbi to catch abbi.
Thus we can say that
distance run by Elene = 10 m + distance run by Abbi
Substituting that value distance run by Elene from equation A
and distance run by Abbi from equation B
we have
3t = 2t +10
=>3t - 2t = 10
=> t = 10
Therefore it will take 10 second for elene to catch abbi.
Jay borrows $8,000 at a rate of 1.9% interest per year. What is the amount due at the end of 6 years if the interest is compounded continuously?
$8,965.21
$10,027.21
$8,966.02
$25,014.15
Pleeeease show your work on how you solved it because I keep getting 8,962.90 which isn't an option and last time I asked this question, no one explained how to solve it
Interest formula: A = Pe^rt
A = amount
P = principal amount
r = interest rate
t = time
We know that in the question we have:
P = 8,000
r = 0.019
t = 6
Now, solve with the given values:
A = 8000e^(0.019*6)
A = 8000e^(0.114)
A = 8966.016...
Round to the nearest hundredth:
8966.016... → 8,966.02
Therefore, the answer is [ $8,966.02 ]
Best of Luck!
Answer:
$8,966.02
Step-by-step explanation:
Amount = 8000 × e^(6 × 1.9/100)
Amount = 8000 × e^0.114
Amount = 8966.016999
Examine the ratios to find the one that is not equivalent to the others.
StartFraction 2 Over 5 EndFraction = StartFraction 6 Over 10 EndFraction = StartFraction 8 Over 20 EndFraction = StartFraction 12 Over 30 EndFraction
Which ratio is different from the other three?
8 Over 20
12 Over 30
6 Over 10
14 Over 35
Answer:
8 over 20
Step-by-step explanation:
i guessed
Answer:
6 Over 10
Step-by-step explanation:
I did the math and got 100% on my Unit Test.
Write the expression: 3 divided by the sum of x and 9. A) 3 + 9 x B) x 3 + 9 C) x + 9 3 D) 3 x + 9
−2y<8
y<−8
y<−4
y>−8
y>−4
Answer:
y > -4
Step-by-step explanation:
−2y<8
Divide each side by -2, remembering to flip the inequality since we are dividing by a negative
-2y/-2 > 8/-2
y > -4
Answer:
Last option
y > -4
Step-by-step explanation:
-2y < 8
Switch sides
-8 < 2y
-4 < y
Or
y > -4
The dimensions of a figure are doubled, how many times larger will the volume be? Only enter numerical answers
Answer:if you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).
Step-by-step explanation:
Scale factor are used to increase or diminish the original figrure. The new volume will be 8times larger than the initial volum
Scale factorsScale factor are used to increase or diminish the original figrure.
Assume the original dimension of the figure is a, b and c, the volume of te figure will be expresed as:
A = length * width * heiht
A = abc
If the measure of the sides are doubled, hence;
New volume = 2a * 2b * 2c
New volume = 8abc
Ratio = 8abc/abc
Ratio = 8
Hence the new volume will be 8times larger than the initial volume
Learn more on volume of a figure here: https://brainly.com/question/511679
Help pleaseeeeeeeeeeeee
Answer:
C. [tex]\frac{21}{25}[/tex]
Step-by-step explanation:
[tex]\frac{8}{10+8+6+9+5+12}[/tex]=[tex]\frac{8}{50} =\frac{4}{25}[/tex]
so to not get a 2, the experimental probability would be [tex]\frac{21}{25}[/tex] or C
Answer:
C 21/25
Step-by-step explanation:
first yo need to add up every single number.
10+8+6+9+5+12=50
than do this
(10+6+9+5+12)/50=42/50=21/25
so the answer will C
A bag contains 28 marbles: 9 black, 14 red, and 5 blue. A marble is drawn from the bag at random.
What is the probability of getting a red or blue marble? Write answer as SIMPLIFIED FRACTION.
ASAP
Answer:
steps
1) 14/28 to convert to a percent you have to first divide the numerator from the demoninator and then you multiply by 100 and you get get %50 (you could had known bc 14 is half of 28)
2) 5/28 do the same thing as the first step and get %17.85
-Feel free to ask for more help :)
How to do the problem and what the answer is this thing is due today(30 points!)
Answer:
40°
Step-by-step explanation:
complementary angels makes the sum of two angles = 90°
so
<ABC + < CBD = 90°
if <ABC = 50°
then 90° - 50° = 40°
wil give bianleast
Find the first term in the pattern with the formula: 40 • 6n – 1.
40
0
1440
240
Step-by-step explanation:
I think 40 should be the first term in the sequence because it is given 40.. 6n - 1
identify the next three terms in the geometric sequence 5, 10, 20, 40, ...
1/2 +2/6
A)
1
_
6
B)
3
_
8
C)
5
_
6
D)
5
_
5
So the right answer is 5/6.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex] \frac{5}{6} [/tex]
Answer C is correct.Step-by-step explanation:
[tex] \frac{1}{2} + \frac{2}{6} \\ \frac{6 + 4}{6 \times 2} \\ \frac{10}{12} \frac{ \div 2}{ \div 2} \\ = \frac{5}{6} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which number is divisible by 5
A 44
B 125
C 116
D 114
Answer:
B
Step-by-step explanation:
Solve the equation for all values of x by completing the square.
3x^2-60x+255=0
Answer:
x=5 and x=15
Step-by-step explanation:
3x^2-60x+225=0
3x^2-60x+225/3=0/3
x^2-20x+75=0
x^2-5x-15x+75=0
x(x-5)-15(x-5)=0
(x-5)(x-15)=0
x-5=0 x-15=0
x=5 x=15
A 90% confidence interval for a proportion is found to be (0.22, 0.28). What is
the sample proportion?
Answer:
The sample proportion is 0.253.
Step-by-step explanation:
We are given that a 90% confidence interval for a proportion is found to be (0.22, 0.28).
Firstly, as we know that the confidence interval for sample proportion is calculated as;
90% confidence interval = Sample proportion [tex]\pm[/tex] Margin of Error
Here, let [tex]\hat p[/tex] = sample proportion
Also, the level of significance = 1 - 0.90 = 0.10 or 10%
And, the critical value of z at 5% (two-sided) level of significance is 1.645.
So, 90% confidence interval = [tex]\hat p \pm 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
(0.22 , 0.28) = [tex]\hat p \pm 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
This means;
0.22 = [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex] -------------- [Equation 1]
0.28 = [tex]\hat p + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex] -------------- [Equation 2]
From equation 1 and 2, we get;
[tex]0.22 + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }= 0.28 - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
[tex]1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} } + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }= 0.28 -0.22[/tex]
[tex]2 \times 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} } =0.06[/tex]
[tex]\sqrt{\frac{\hat p(1-\hat p)}{n} } =\frac{0.06}{2 \times 1.645}[/tex]
[tex]\sqrt{\frac{\hat p(1-\hat p)}{n} } =0.02[/tex]
Now, squaring both sides, we get;
[tex]{\frac{\hat p(1-\hat p)}{n} } =0.0004[/tex]
[tex]n ={\frac{\hat p(1-\hat p)}{0.0004} }[/tex]
Now, putting value of n in equation 1, we get;
0.22 = [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
0.22 = [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{\hat p(1-\hat p)}\times 0.0004 }[/tex]
0.22 = [tex]\hat p - 1.645 \times \sqrt{ 0.0004 }[/tex]
0.22 = [tex]\hat p -( 1.645 \times 0.02)[/tex]
0.22 = [tex]\hat p -0.033[/tex]
[tex]\hat p = 0.22 + 0.033[/tex] = 0.253
Therefore, the sample proportion [tex]\hat p[/tex] is 0.253.
Sophia invests 12,500 in an account that earns 4% annual simple intrest. Assuming she makes no addititonal deposits or withdraws, how much intrest will Sophia earnafter 3 years?
Answer:
$3,125
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
HELP WILL MARK BRAINLIEST
Answer:
The first question would be G and the second one would be C
Step-by-step explanation:
If g(x) = x^2, find g (3)
Answer:
g(3)=9
Step-by-step explanation:
We want to find what g(x), or y is, when x is equal to 3.
Therefore, we can substitute 3 in for x in the equation
g(x)=x^2
g(3)=3^2
Evaluate the exponent
g(3)=3*3
g(3)=9
Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the counter is red. The other side is yellow. She performs this experiment 80 times. The relative frequency of tossing red and spinning a number greater than three was 25 . What is the difference between the number of expected outcomes and the number of actual outcomes?
Answer:
The difference between the number of expected outcomes and the number of actual outcomes = 5
Step-by-step explanation:
She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.
Probability of the counter landing on either of the two sides is exactly = (1/2)
Probability of the counter landing on the red side = (1/2)
Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6. = (3/6) = (1/2)
In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 = p = (1/2)×(1/2)
p = (1/4)
Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials
= np = 80 × (1/4) = 20
Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25
The difference between the number of expected outcomes and the number of actual outcomes = 25 - 20 = 5
Hope this Helps!!!
Which of the following is a solution to this inequality? Y<2/3x+2
(0,3)
(-3,1)
(3,5)
(1,2)
Answer:
(1,2)
Step-by-step explanation:
I graphed the inequality on the graph below and found which answer was a solution.
If this answer is correct, please make me Brainliest!
Please help with this
Answer:
C. [tex]c = \frac{-7+-\sqrt{129} }{8}[/tex]
Step-by-step explanation:
Before we start, you can think of the variable "c," as x.
The quadratic formula/equation is:
[tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
The setup is:
[tex]ax^2+bx+c=0[/tex]
[tex]4c^2+7c-5=0[/tex]
Plug in the numbers accordingly to the letter associated, like so:
[tex]x = \frac{-7+-\sqrt{7^2-4(4)(-5)} }{2(4)}[/tex]
[tex]x = \frac{-7+-\sqrt{49+80} }{8}[/tex]
[tex]x = \frac{-7+-\sqrt{129} }{8}[/tex]
What is the equation to the quadratic function that has zeros at -6 and 16?
Group of answer choices
x2 + 22x + 96 = 0
x2 + 10x - 96 = 0
x2 - 22x + 96 = 0
x2 - 10x - 96 = 0
Answer:
x^2 -10x -96 =0
Step-by-step explanation:
Subtract the zeros from x in factors
(x - -6) (x-16)
(x+6) (x-16)
Set these equal to zero since they are zeros
(x+6) (x-16) =0
FOIL
x^2 -16x+6x -96 =0
x^2 -10x -96 =0
PLEASE HELP ITS A GRADE I WILL GIVE 5 STARS AND BRAINLIEST !!!! :)
Answer: 1 i think is option b, 2 i think is option c, page 2, question 1 i think is option b, question 2 i think is option a, page 3, question 1 i think is option a or b, and the last one i think is option c
Step-by-step explanation: i cant figure out others
