Answer:
1. B (40- 3n)
2.c (86)
Step-by-step explanation:
1. The shirts cost 3n. So you do 40- 3n(what the shirts cost) to find the amount of change he will recive.
2. Just plug the numbers in- 1.8(30) + 32=86.
Arondae is making cookies. She needs 10
cups of sugar per pan. If she wants to make
50 pans of cookies, how many cups of sugar
does she need?
Answer:
500
Step-by-step explanation:
10*50=500
This table shows the profit for a company (in millions of dollars) in different
years.
The quadratic regression equation that models these data is
y=-0.34x2 + 4.43x + 3.46. Using the quadratic regression equation, what
was the predicted profit in year 10?
A. $44.36 million
B. $10 million
C. $15 million
D. $13.76 million
Answer:
D. $13.76 million is the correct answer :)
Step-by-step explanation:
The solution is, $13.76 was the predicted profit in year 10.
Here, we have,
Given : the equation is,
y=-0.34x^2 + 4.43x + 3.46.
To Find : Using the quadratic regression equation, what was the predicted profit in year 8
Solution :
y=-0.34x^2 + 4.43x + 3.46.
Where y is profit and x is year
Substitute x = 10
y=-0.34* 10^2 + 4.43*10+ 3.46.
or, y = 13.76
So, Option D is true
Hence the predicted profit in year 10 is $13.76.
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Find the sum of the first 35 terms of the following series, to the nearest integer.
3, 11, 19...
=======================================================
Explanation:
The sequence {3,11,19,...} is arithmetic since we are adding 8 to each term to get the next one
3+8 = 1111+8 = 19etc. This means the common difference is d = 8.
The first term is a = 3
Let's use this formula
S = n*(2*a + d(n - 1) )/2
so we can find the sum of the first n terms. In this case, n = 35
So,
S = n*(2*a + d(n - 1) )/2
S = 35*(2*3 + 8(35 - 1) )/2
S = 35*(6 + 8(34))/2
S = 35*(6 + 272)/2
S = 35*(278)/2
S = 35*139
S = 4865
[tex]4865[/tex] is the the sum of the first [tex]35[/tex] terms of the following series [tex]3, 11, 19...[/tex]
What is arithmetic sequence?
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2
The sequence [tex]{3,11,19,...}[/tex] is arithmetic since we are adding [tex]8[/tex] to each term to get the next one as shown below:
[tex]3+8 = 11\\11+8 = 19[/tex]
This means the common difference is [tex]d = 8.[/tex]
The first term is [tex]a = 3[/tex]
Number of terms [tex]=n=35[/tex]
Sum of the series
[tex]=\frac{n}{2} (2a+(n-1)d)[/tex]
[tex]=\frac{35}{2} (2[/tex]×[tex]3+34[/tex]×[tex]8)[/tex]
[tex]=35[/tex]×[tex]139[/tex]
[tex]=4865[/tex]
Hence, we can conclude that the sum of the first [tex]35[/tex] terms of the following series is [tex]4865[/tex]
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Help?????????????? I need to know the answer
2. George worked 40 regular hours and 5 overtime hours this week. If his regular pay is $14 per
hour, and he is paid double time for overtime hours, how much did he earn this week?
Answer:
$700
Step-by-step explanation:
40(14)+28(5)
560+ 140
700
5. Solve the inequality for n: 4n+2(n+1)>n+52
Answer:n>10
Step-by-step explanation:b
Select the best answer.
Increasing the sample size of an opinion poll will reduce the :____________
(a) bias of the estimates made from the data collected in the poll.
(b) variability of the estimates made from the data collected in the poll.
(c) effect of nonresponse on the poll.
(d) variability of opinions in the sample.
(e) variability of opinions in the population.
Answer: D
Step-by-step explanation:
the 4th one nzoabsjqnnansiwwna
so the question on the pic
Explanation + answers
Because there are lengths going from 0 to 1, the lines must mean either decimals or fractions (we'll use fractions for this.)
1. There are twelve lines from 0 and 1, which we can use as the denominator for our fraction. This means the length of each line is 1/12.
2. In order to find where K's point is at, we simply need to count until we get to it. After counting, I see that K is on point 8/12, which we can simplify to get a smaller number. If we simplify once, we get 4/6, which we can again simplify to get 2/3. This gives us the answer K is on point 8/12 or 2/3.
I need help fast I need to find the slope and than the y-intercept
Answer:
1. y intercept is 6 and the slope is 1/2x
2. y intercept is 7 and the slope is 4x
3. y intercept is 1 and the slope is -2/3x
4. y intercept is 3 and the slope is 5/2x
5. y intercept is 4 and the slope is -x
6. y intercept is 9 and the slope is -8/3x
Step-by-step explanation:
hope this helps I just finished learning this. this should be right
Answer:
1) slope= 1/2 or 0.5
y intercept= -6
2) slope= 4
y intercept= -7
3) slope= - 2/3 or -0.66666---->
y intercept= -1
4) slope= 5/2 or 2.5
y intercept= 3
5) slope= -1
y intercept= 4
6) slope= -8/3 or 2.66666666667
y intercept= 9
What is the surface area of the triangular prism with the
given net?
un
12
10
Select one:
578 cm
720 cm
1152 cm
1440 cm
Answer:
576 cm²
Step-by-step explanation:
10x15=150
10x15=150
12x15=180
1/2x8x12=48
1/2x8x12=48
150+150+180+48+48=576
!!! PLEASE HELP RN !!!
3 (4 + 5) - 12 + 2
Answer:
17
Step-by-step explanation:
Add (4 + 5) = 9 then multiply by 3 = 27 - 12 = 15 +2 = 17
Answer:
[tex]3(4 + 5) - 12 + 2 = 17[/tex]
Step-by-step explanation:
[tex]3(4 + 5)[/tex]
break it down into PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
[tex]3 \times 4 = 12[/tex]
[tex]3 \times 5 = 15[/tex]
[tex]15 + 12 = 27[/tex]
[tex]3(4 + 5) = 27[/tex]
move onto your second part
[tex]27 - 12 + 2[/tex]
[tex]27 - 12 = 15[/tex]
[tex]15 + 2 = 17[/tex]
your final part would be to put it all back together with your answer show an.
[tex]3(4 + 5) - 12 + 2 = 17[/tex]
Seventy-two percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 66% have an emergency locator, whereas 80% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.)
a) If it has an emergency locator, what is the probability that it will not be discovered?
b) If it does not have an emergency locator, what is the probability that it will be discovered?
c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is the probability that 7 of them are discovered?
Answer:
a) 0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.
b) 0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.
c) 0.064 = 6.4% probability that 7 of them are discovered.
Step-by-step explanation:
For itens a and b, we use conditional probability.
For item c, we use the binomial distribution along with the conditional probability.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
a) If it has an emergency locator, what is the probability that it will not be discovered?
Event A: Has an emergency locator
Event B: Not located.
Probability of having an emergency locator:
66% of 72%(Are discovered).
20% of 100 - 72 = 28%(not discovered). So
[tex]P(A) = 0.66*0.72 + 0.2*0.28 = 0.5312[/tex]
Probability of having an emergency locator and not being discovered:
20% of 28%. So
[tex]P(A cap B) = 0.2*0.28 = 0.056[/tex]
Probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.056}{0.5312} = 0.105[/tex]
0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.
b) If it does not have an emergency locator, what is the probability that it will be discovered?
Probability of not having an emergency locator:
0.5312 of having. So
[tex]P(A) = 1 - 0.5312 = 0.4688[/tex]
Probability of not having an emergency locator and being discovered:
34% of 72%. So
[tex]P(A \cap B) = 0.34*0.72 = 0.2448[/tex]
Probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2448}{0.4688} = 0.522[/tex]
0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.
c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is the probability that 7 of them are discovered?
p is the probability of being discovered with the emergency recorder:
0.5312 probability of having the emergency recorder.
Probability of having the emergency recorder and being located:
66% of 72%. So
[tex]P(A \cap B) = 0.66*0.72 = 0.4752[/tex]
Probability of being discovered, given that it has the emergency recorder:
[tex]p = P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4752}{0.5312} = 0.8946[/tex]
This question asks for P(X = 7) when [tex]n = 10[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{10,7}.(0.8946)^{7}.(0.1054)^{3} = 0.064[/tex]
0.064 = 6.4% probability that 7 of them are discovered.
Morgan has a goal to run 50 miles per month. If he has already achieved 70% of his
goal this month, how many miles has he already run this month?
Answer:
he has already ran 35 miles
turn 70% into a decimal .70 than multiply that by 50 and you get 35
Help me pleaseeee thanks ✏️
Answer:
Step-by-step explanation:
65
What factor is missing? 24 + 12= ____(8+4)
Answer:
3
Step-by-step explanation:
24 + 12 = ___(8+4)
36 = ___(12)
36/12 = 3
Could you help me please? This is a thing for my sons math homework.
Answer:
See below.
Step-by-step explanation:
I've never seen one asked quite this way, but I think I have it figured out.
The objective here is to get the right answer for each square. The answer is either the one next to the 'x', which means you put an 'x' in the tic-tac-toe square or the answer is the one next to the 'O', which means you put an 'O' in the tic-tac-toe square.
I will number them boxes 1-3 on the top row, 4-6 for the next, and 7-9 for the bottom row.
Box 1: In a fraction, you subtract the bottom exponent from the top exponent, so the proper exponent is 10 - 2 = 8. That is an O for g^8.
Box 2: A power raised to a power - multiply the exponents. 2*6=12. That is an X for m^12 for box 2.
Box 3: for multiplying the same base, you add the exponents. 4+5=9. That gives us y^9, which is a X for box 3.
Box 4: j is a factor four times, so that is j^4. That puts an O in Box 4.
Box 5: In a fraction, you subtract the bottom exponent from the top exponent, so we get -2 - (-6) = -2 + 6 = 4. The correct expression is h^4, so we have an X for box 5.
Box 6: A power to a power, you multiply the exponents so the first part becomes m^8. Now we have m^8 * m^5. For multiplying the same base, you add the exponents. 8+5=13. That gives us m^13, which puts an O in box 6.
Box 7: The top is a power to a power so we multiply the exponents. 4*5=20. The top is b^20.
On the bottom, for multiplying the same base, you add the exponents. 2+3=5, so the bottom is b^5.
Now we have a fraction, (b^20)/(b^5). In a fraction, you subtract the bottom exponent from the top exponent, so we have 20 - 5 = 15, and thus b^15. That gives us an X for box 7.
Box 8: A fraction IS a division, so we do divisons and fractions the same way. The p^3 on the left is the top (numerator) and the p^2 part is the bottom (denominator). So 3-2=1. But P^1 is just P, so we have an O for box 8.
Box 9: For the numerator, it is a power to a power so we multiply the exponents and get k^12.
For the denominator, we are multiplying the same base, so you add the exponents. 7 + (-5) = 2, and we get k^2 for the denominator
Now we have the fraction of k^12 OVER k^2. In a fraction, you subtract the bottom exponent from the top exponent. 12-2=10. We get k^10, giving us an X for box 9.
So here is what we get for tic-tac-toe.
0 X X
O X 0
X O X
We get 3 in a row in boxes 3, 5, and 7. The exponents in those problems are 9, 4, and 15 respectively. The product of thse 3 numbers is 540.
This was a LOT of steps, so I encourage you to check every little multiplication and addition I did.
Hope this helps.
solve for x. HELP SOMEONE PLEASEEE
Multiply. Enter your answers.
8 2 0
× 3
?
?
?
?
Answer:2,460
Step-by-step explanation:
Just use a calculator
820x3=2,460
my daughter is having problems with a math problem and I'm not sure how to do it
Answer:
im pretty sure the h represents hours bc there is min on the other so 22x60=1320. so 1320L
Step-by-step explanation:
Please help me ASAP! on these two questions please and thank you have a great and blessed day!
Answer:
1: 1.268, 1.265, 1.256
2: $16.42
Step-by-step explanation:
I did the math.
I need to Mach the answers to the questions please help
Answer:
1a. 3y = 18
1b. y + 7 = 18
1c. 2y + 4 = 18
Step-by-step explanation:
In each case, let's take the red boxes to be constant why the the green boxes represents the variable, y.
Thus,
1a. There are only 3 green boxes which gives us 18, therefore, the equation that expresses this would be:
3y = 18
1b. We have 7 red boxes which represents the constant, 7.
We also have 1 green box which represents the variable, y. Therefore, the equation that expresses this would be:
y + 7 = 18
1c. We have 4 red boxes = 4
We have 2 green boxes = 2y
Therefore, we would have:
2y + 4 = 18
A new house was purchased for $304 000. after 3 years, it's market value had increase by 28%. What is the new market value if the house?
Answer:
389,120
Step-by-step explanation:
Find the product (6x² + 2x)(x²+4x)
Answer:
6x⁴ + 26x³ + 8x²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Step-by-step explanation:
Step 1: Define
(6x² + 2x)(x² + 4x)
Step 2: Expand
FOIL: 6x⁴ + 24x³ + 2x³ + 8x²Combine like terms: 6x⁴ + 26x³ + 8x²Math 7th grade... help pls thanks
Answer:
35
Step-by-step explanation:
1 bracelet costs $7
5 bracelets is 7*5=35
As we can see with the numbers they gave us every bracelet costs 7 dollars, 1 =7, 2=14 and so on. With this information we can just take the number 5 and multiply it by 7 which would equal 35. Or you could add 7 to 21 and then 7 to 28. Whichever one works for you.
Hope this helped
equation shows the relationship between X and why.
y= - 7 + 9
what is the slope of the equation?
Answer:
-7
Step-by-step explanation:
I am assuming that you meant y=-7x+9
so the the slope would be y=mx+b
so -7
Mrs. Smith decides to buy three sweaters and a pair of jeans. She has $140 in her wallet. If the
price of the jeans is $55, what is the highest possible price of a sweater, if each sweater is the
same price?
Which equation will you use to solve this equation? *
NoAnswer:
Step-by-step explanation:
it cost 0.60 cents to run a fan for 4 hours how much does it cost to run the fan for 6 hours I need an answer asap
Answer:
$0.90
Step-by-step explanation:
So first you need to find the rate (showing how much money it costs to run for 1 hour) so you get 0.60 and divide it by 4 and its 0.15, then multiply 0.15 by 6 and get 0.90
Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 samples are summarized as follows:
conforms
yes no
1 22 8
supplier 2 25 5
3 30 10
Let A denote the event that a sample is from supplier 1, and let B denote the event that a sample from any supplier conforms to specifications. If a disk is selected at random, determine the following probabilities.
a. P(A)=0.3
b. P(B)=0.77
c. P(A Intersection B) =0.22
d. P(A U B)=0.85
de-13m+5n-8p sustraer 7p-8m+3n
Answer:
its 300
Step-by-step explanation:
If x is a positive integer, which of the following must be an even integer that is twice the value of an odd integer.
A. 2x
B. 2x + 1
C. 2x + 2
D. 4x + 1
E. 4x + 2