Evaluate. Express your answer in scientific notation.
4.36 x 104 – 41, 600
Answer: 3.456 × 1011
Step-by-step explanation:
Keith bought 4 new baseball trading cards to add to his collection. The next day his dog at half of his collection. There is now 25 cards left. How many cards did Keith start with?
Answer:
46 cards
Step-by-step explanation:
We can use a variable to represent the starting amount of cards: (x)
Keith bought 4 new cards: (+4)
His dog ate half of the collection: (x/2)
There are now 25 cards: (=25)
So we can use this expression to find the starting amount: (x+4)/2=25
Start by multiplying both sides by 2 to get rid of the (x/2).
Now subtract 4 from both sides to get rid of the (+4).
Finally, we know x= 46
Thus, Keith started with 46 cards.
Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x ≥ 72)?
A. 0.84
B. 0.975
C. 0.025
D. 0.16
Approximately 65% of the distribution lies within one standard deviation of the mean, which is to say,
P(72 ≤ x ≤ 86) ≈ 0.65
Normal distributions are symmetric, so the percentage of values one standard deviation below the mean is equal to the percentage of values one standard deviation above the mean.
P(72 ≤ x ≤ 79) = P(79 ≤ x ≤ 86)
but since the sum of these make up P(72 ≤ x ≤ 86), we find
P(72 ≤ x ≤ 79) ≈ 0.65/2 = 0.325
Also due to symmetry, exactly half of the distribution lies to either side of the mean; namely,
P(x ≥ 79) = 0.5
It follows that
P(x ≥ 72) = P(72 ≤ x ≤ 79) + P(79 ≤ x)
P(x ≥ 72) = 0.325 + 0.5
P(x ≥ 72) = 0.825 ≈ 0.84
Answer: 0.84
Step-by-step explanation:
Marsha is driving 630 otal miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
Answer:
Marsha has driven 252 miles
Step-by-step explanation:
In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.
Hope this helps! :)
Katie has $150 in her savings account.
She wants to buy a new iPad that
costs $375. How many weeks will it
take her to have enough to buy the
iPad if she saves $25 each week?
Answer:
9
Step-by-step explanation:
375 - 150 = 225
225 / 25 = 9
Answer:
I believe the answer would be 9 weeks
i need help fast plz
Answer:
27/16
Step-by-step explanation:
[tex]12 \div \left(2 + \dfrac 23 \right)^2\\\\\\=12 \div \left(\dfrac 83 \right)^2\\\\\\=12 \div \dfrac{64}9\\\\\\=12 \times \dfrac{9}{64}\\\\\\= \dfrac{3 \times 9}{16}\\\\\\=\dfrac{27}{16}\\\\\\=1\dfrac{11}{16}[/tex]
Write the equation of the parabola that has the vertex at point
(−2, 5.5) and passes through the point (−2.5, 2.5).
Answer:
-12x²-48x-42.5
Step-by-step explanation:
Veronica made 960 cookies to sell. She wants to package the cookies in boxes of 16. Her goal is to make $630 from selling her cookies.
Answer: She should charge $10.50 for each box
Step-by-step explanation:
Total cookies = 960
Each box has 16 cookies
Her goal is $630
First, you want to find out how many boxes she made
960÷ 16 = 60
She made 60 boxes
Now you want to find the price for each box
630 ÷ 60 = 10.5
She should charge $10.50 for each box
I hope this helps!!!
How does the number 7 in 777.77 in the tenths place compare to 7 in the hundredths place
Answer:
0.7 is 7/10 Example out of ten cookies 7 are chocolate chip
0.07 is 7/100 Example out of 100 cookies 7 are chocolate chip
Hope This Helps!!!
Whta is the geometric mean of 5 and 36
Step-by-step explanation: 2 × 18 = 36. Then (as there are two numbers) take the square root: √36 = 6. this is for 36
Answer: 13
Step-by-step explanation:√(5 × 36) = 13.416407865
Pls help as soon as possible thank you
Answer:
D
Step-by-step explanation:
F(g) falls between 0 and 49.58
If PQ =13 and PR = 18, what is QR?
Answer:
QR is equal to 5 since 13 is 5 less that 18. So since 13 was already taken, that leaves 5
help me please!! <33
13/20 - 1/2
===================================================
Explanation:
Ignore the big X and the shading for now. This figure has 4 rows by 5 columns of rectangles. So there are 4*5 = 20 little rectangles total. Each little rectangle represents 1 brownie.
Then let's say the shaded region represents the amount of brownies Mary receives. We have 13 rectangles shaded in out of the 20 total. This means 13/20 is the fractional amount Mary gets.
She then eats 10 of the 20 total, so she eats 10/20 = 1/2 of the brownies.
Therefore, we end up with the expression 13/20 - 1/2 to represent the fractional amount that Mary still has that she hasn't eaten yet (which is 3/20).
We can say: 13/20 - 1/2 = 13/20 - 10/20 = 3/20
A pet shop offers an iguana for $80 and a parakeet for $40. During a sale, Chris bought the iguana at a 40% discount and the parakeet at a 55% discount. The total amount saved on Chris's new pets was what percent of the total of their original prices?
Answer:
He save 55$+50$ which is 105$
Step-by-step explanation:
total for iguana is 135$ and parakeet is 90$
= 225$
If one of the factors of r ^ 2 + 21r + 98 is r + 7 , what is the other factor?
Answer:
i think factor the expression (r+7)(r+14) is answer
Step-by-step explanation:
Answer:
(r + 14)
Step-by-step explanation:
When factoring a trinomial in the form of:
[tex]ax^2+bx+c[/tex]
you need to find 2 numbers that multiply to make ac and add to make b. Here, we need to find 2 numbers that multiply to 98 and add to 21. First, list the factors of 98:
1, 98
2, 49
7, 14
and the reverse of all of those is also true.
Now find factors that add to 21. In this case, those are 7 and 14. You need to break the middle term in the trinomial into those 2 numbers:
[tex]r^2+21r+98\\r^2+7r+14r+98[/tex]
Finally, you can factor each half of this individually.
[tex](r^2+7r)+(14r+98)\\r(r+7)+14(r+7)\\(r+14)(r+7)[/tex]
We were already given (r + 7), so the answer is (r + 14).
evaluate the expression for h= -6.
Answer:
63-|-6| = 57
Step-by-step explanation:
63-|-6|
63-6
57
Answer:
57
Step-by-step explanation:
Substitute -6 for variable h.
[tex]63-|(-6)|\\63-6\\57[/tex]
The population of Fantasy City doubles each month. When will the city be half populated if it will be fully populated in 10 months.
Using an exponential function, it is found that the city will be half populated in 9 months.
The population of Fantasy City doubles each month, hence, after t months, the population is given by:
[tex]P(t) = P(0)2^{t}[/tex]
In which P(0) is the initial population.Fully populated in 10 months, hence, the full population is:
[tex]P(10) = P(0)2^{10} = 1024P(0)[/tex]
Hence, half populated is [tex]P(t) = \frac{1024P(0)}{2} = 512P(0)[/tex], hence:
[tex]P(t) = P(0)2^{t}[/tex]
[tex]512P(0) = P(0)2^{t}[/tex]
[tex]2^t = 512[/tex]
[tex]2^t = 2^9[/tex]
[tex]t = 9[/tex]
The city will be half populated in 9 months.
To learn more about exponential functions, you can take a look at https://brainly.com/question/25537936
The game starts as follows. You pick one medal without unwrapping it, and then the game host unwraps one of the remaining medals and reveals that it is a silver medal. (Assume here that the host unwraps a medal with equal probability, but knowing where the gold medal was and avoiding unwrapping the gold medal if still on the table, to keep the game interesting to watch until the end.) You have now three medals left to unwrap (one in your hand, two on the table). At this point, the host gives you the option to change your mind and swap your medal for one of the two left on the table. What would you do at this point? Would you keep your medal, or swap it with one of the two medals left on the table? If so, which one?
Answer:
I'd swap with one on the table (the left one) but with my luck it would be a sword made of rubber
Cynthia gave 15 of her toys to her little sister. If she had 25 toys, how many did she give away?
5
she gave her sister 5 toys.
Correction to the question - It is not 15 it 1/5th.
According to the given question Cynthia had 25 toys and she gave 1/5th of her toys to her little sister.
So, The total number of toys is 25 to find 1/5th of it we need to multiply the total number of toys she had and the fraction she gave.
(25 x 1/5) = 5. so the number of toys she gave away to her little sister is 5.
To solve more of these kind of arithmatic and alzebraic word problems just search on web for word problems on arithmatic and alzebra.Learn more about word problems here :
https://brainly.com/question/2610134
#SPJ2
1 decigram (dg) = ______ grams (g)?
A. 0.01
B. 0.1
C. 0.001
D. 10
Answer:
B) 0.1
Step-by-step explanation:
The prefix "deci-" means "tenth", so a decigram would be one-tenth of a gram (or 0.1 grams). Therefore, option B is correct.
If you connect the points where Muntinlupa City and Teresa, Rizal are located, what is the slope of the line formed from the two given places?
Using it's formula, it is found that the slope of the line formed from the two given places is of [tex]\mathbf{\frac{6}{7}}[/tex]
Given two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope is given by change in y divided by change in x, that is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this problem:
Muntinlupa is at (-1,-4);Teresa, Rizal is at (6,2).Hence, applying the formula for the slope, considering [tex](x_1, y_1) = (-1, -4)[/tex] and [tex](x_2,y_2) = (6,2)[/tex]:
[tex]m = \frac{2 - (-4)}{6 - (-1)} = \frac{6}{7}[/tex]
The slope is of [tex]\mathbf{\frac{6}{7}}[/tex]
A similar problem is given at https://brainly.com/question/5427529
When dealing with business analysis, when there is a graph of two linear equations, what is the point of intersection
called?
a break-even point
c. profit point
b. loss point
d. output
Answer:
1. a break-even point
Step-by-step explanation:
This is when the two profits are the same between 2 companies / businesses, thus it is when they break even, or have the same amount of money
If a cylinder has a volume of 648pi cm3( 3rd power) and a height of 8 cm, what is the radius?
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{648\pi }\\ h=8 \end{cases}\implies 648\pi =\pi r^2(8) \\\\\\ \cfrac{648\pi }{8\pi }=r^2\implies 81=r^2\implies \sqrt{81}=r\implies \boxed{9=r}[/tex]
A soccer ball has an interior diameter of 22 cm. How many cubic centimeters of air does a soccer ball contain, rounded to the nearest tenth of a centimeter?
Answer:
20m
Step-by-step explanation:
bc 22m rounded to the closest tenth is 20m.
Hopes This Helps :)
Answer:
about 180 cm
Step-by-step explanation:
Ratio. Proportion and many method d) 15 workers were employed to complete a piece of work in 36 days. How many more workers should be added to complete the work in 30 days?
Answer:
Step-by-step explanation:
total of 15(36) = 540 person•hours was used
540 / 30 = 18 people
18 - 15 = 3 people need to be added
Answer for brainliest
Please solve the question on the file.
Answer:
Step-by-step explanation:
they arent similar because the ratio of 8 to 14 and 10 to 18 arent the same.
The time it takes to transport goods has __________ over time, causing trade to __________. A. increased . . . decrease B. decreased . . . decrease C. decreased . . . increase D. increased . . . increase Please select the best answer from the choices provided A B C D
Answer: C. decreased . . . increase.
As technology is advancing it requires less time and effort to do almost anything. So for tranportation as well i think it will take less time to do it. Thus logically people would want to trade more because the transport goods take less time. I guess?
Answer:
C
Step-by-step explanation:
Cumulative Exam 2021
Merry Christmas <3
P.S. Have a good winter break :)
If [tex]f(x) = x[/tex]² [tex]-x+3[/tex], then what is the reaminder when [tex]f(x)[/tex] is divided by [tex]x+9[/tex]?
Answer:
Remainder is 93
Step-by-step explanation:
Use synthetic division:
-9 | 1 -1 3
____ -9 90
1 -10 | 93
Therefore, the remainder is 93
What are the steps in multiplying decimals?
Answer:
Ignore the decimal points then multiply the numbers that remain. Count the number of decimal places in all of the numbers of the question combined. Place the decimal point so that there are the same number of decimal places in the answer and the question.
Step-by-step explanation: