Step-by-step explanation:
so we're making two draws *with* replacement (this is important)
step 1: for the first draw, it wants the probability of getting a sour candy. to calculate this:
(# of sour candy) / (total # of candy)
step 2: for the second draw, it wants the probability of *not* getting a sour candy. to calculate this, you can calculate 1 - (the probability form part 1).
step 3: to find the probability of both events happening together, simply multiply the probabilities from part 1 and 2 together
side note: for step 2, you can only do this because the candy is being replaced. if there were no replacement, you'd have to re-calculate (# of non-sour candies) / (total after the first candy is drawn)
Answer:
A. 23%
Step-by-step explanation:
Let's figure out how many pieces of candy there is in total:
10 + 12 + 6 = 28
In total, there are 28 pieces of candy.
Let's find the probability that a piece is sour:
[tex]\frac{10}{28} = \frac{5}{14}[/tex]
The probability of pulling a sour piece out of the bag is 5/14.
This means that the probability that the candy pulled is not sour is 9/15 (or simplified 3/5)
To find the probability that the first candy picked out is sour AND the second candy picked is not sour we have to multiply the probabilities of both:
[tex]\frac{5}{14} *\frac{3}{5} = 0.229 = 23[/tex]
Therefore, A. 23% is the correct answer.
Hope this helps!!
- Kay :)
The value of 3' x10, when x = -2, can be
written in simplest form as a lb, where
a=
and b =
Answer:
[tex]a = 8[/tex] and [tex]b = 2[/tex]
Step-by-step explanation:
Given
[tex]\sqrt[3]{x^{10}}[/tex]
[tex]x = -2[/tex]
Required
Express as: [tex]a\sqrt[3]{b}[/tex]
Substitute -2 for x in [tex]\sqrt[3]{x^{10}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{(-2)^{10}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{1024}[/tex]
Express 1024 as 2^10
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{10}}[/tex]
Apply law of indices:
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9+1}}[/tex]
Apply law of indices: Split
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}*2^1}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}} *\sqrt[3]{2^1}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}} *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 2^{9*\frac{1}{3}}} *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 2^3 *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 8\sqrt[3]{2}}[/tex]
By comparison:
[tex]a = 8[/tex] and [tex]b = 2[/tex]
Answer:
a=-8 and b=-2
Step-by-step explanation:
Edge
The price of gasoline rose from $1.54 to $3.85.
A: What is the percent increase?
B: If the price reverses from $3.85 to $1.54, what is the percent decrease?
Answer:
Step-by-step explanation:
dollar amount of increase = $3.85 - $1.54 = $2.31
percentage increase = (amount of increase)/(original price) = $2.31/$1.54 = 1.5 = 150%
Help please if you know the answer
Answer:
180-140=a
180-90=b
180-a-b= your ans
A car travels about 46 feet in one second. At this speed,
about how many feet will the car travel in 2 seconds?
A
920 feet
B
48 feet
480 feet
D
92 feet
About 1/6 of a fruit punch is pineapple juice. About 1/9 of the punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice.
Answer:
Step-by-step explanation:
1/6 + 1/9 = 3/18 + 2/18 = 5/18
5/18 of the punch is either pineapple or orange.
The fraction that represents pineapple juice or Orange juice is 11/30
What is a fraction?A common fraction is a numeral that represents a rational number. A fraction is a part of a whole.
Given here pineapple juice is 1/6 of a fruit punch and orange juice is 1/9 of the punch. Let the whole punch is equal to x then
pineapple juice =( 1/6) × x and Orange juice = (1/9 )× x
Hence the total of the pineapple juice and orange juice is ( =1/6) × x + (1/9 ) × x
=11x/30
Now this total expressed as part of the whole is 11x/30 / x = 11/30
Hence, the final answer is equal to 11/30
Learn more about fractions here:
https://brainly.com/question/10354322
#SPJ5
657.9 as a whole number
Answer: I would believe all you have to do is round up making the number 658 lad :)
Step-by-step explanation:
Have a good day :)
Stay safe and stay awesome :D
A grocery store sells a can of soup for $2.40 If they apply a 60% markup before selling it how much did the grocery store pay for the soup
Answer:
$0.96
Step-by-step explanation:
You will pay $0.96 for a item with original price of $2.40 when discounted 60%. In this example, if you buy an item at $2.40 with 60% discount, you will pay 2.40 - 1.44 = 0.96 dollars.
Hope this helps
The scatter plot shows Leanna's elevation above sea level during a hike. The trend line passes
through the points (30,1070) and (75,1680). If Leanna starts at 663 feet above sea level and
maintains the same rate, how far above sea level will she be after one hour?
Answer:
The y-intercept is 663 and the slope is 13.56.Thus, the equation for the trend line is y = 13.56x + 663
Step-by-step explanation:
After one hour, her altitude will be
1476.60 feet above sea level. that was only if u get a part b
mr stone paid $1750 for a new computer at the apple store, if the sales tax is 7.5% what is the final cost. I have 1881.25 must be rounded to the nearest 100th
Answer:
$1881.25
Step-by-step explanation:
Final cost of the computer
[tex] = 1750 + 7.5\% \: of \: 1750 \\ \\ = 1750 + 0.075 \times 1750 \\ \\ = 1750 + 131.25 \\ \\ = \$ 1,881.25[/tex]
Please Answer I Would Really Appreciate It :)
5.1 Percentage changes
1. In February 2019, 195,676 mortgages were outstanding in the UK, which represented 0.38%
of all mortgages. How many total mortgages were in the UK market at that time?
Answer:
Rounded to the nearest integer, at that time there were about 51,493,684 mortgages in the UK market.
Step-by-step explanation:
Given that in February 2019, 195,676 mortgages were outstanding in the UK, which represented 0.38% of all mortgages, to determine how many total mortgages were in the UK market at that time the following calculation must be performed:
0.38 = 195.676
100 = X
(100 x 195,676) / 0.38 = X
19,567,600 / 0.38 = X
51,493,684.21 = X
Thus, rounded to the nearest integer, at that time there were about 51,493,684 mortgages in the UK market.
Find the product
0.037 · 0.26
Different shapes are drawn on cards and then the cards are placed in a bag. The number of cards for each shape is shown in the table.
Shape octagon square circle
Number of cards 12 27 91
What is the probability that a randomly selected card has a circle drawn on it?
Answer:
5 %
Step-by-step explanation:
How does the distance of the mouse change every 2 seconds? 0) Every 2 seconds, the distance the mouse travels i___ by __ feet.
Time|. 0|2|4|6
Distance|0|22|44|66
There's the graph please help
Answer:
22 feet (if the distance is in feet, and the time in seconds)
Step-by-step explanation:
t = time
d = distance
To see if the mouse's distance is proportional to the time, you divide the distance with the time:
[tex]t_{3}[/tex] = 4
[tex]d_{3}[/tex] = 44
44 / 4 = 11
[tex]t_{4}[/tex] = 6
[tex]d_{4}[/tex] = 66
66 / 6 = 11 (the same as with 44 / 4. This means that the mouse distance and time is proportional)
Every second the mouse travels 11 feet.
And every other second the mouse travels 22 feet. (since (1, 11)*2 = (2, 22))
That may have been confusing, and if you have any questions, don't be afraid to ask them in the comments below!
Have a good day!
Answer:
increases by 22
I need this please help me
QUESTION IS IN THE PICTURE, PLEASE HELP!!
Answer:
The median is 5, mode is 5, and range is 12
Step-by-step explanation:
Answer:
MEDIAN - 5
MODE - 2 (4times)
RANGE - 13-1=12 (12 is the range)
Step-by-step explanation:
MEDIAN - Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
MODE - The mode is the element that occurs most in the data set. In this case, 2 occurs 4 times.
RANGE - Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 13-1=12
wo 6-sided number cubes are rolled for a board game. The 2 numbers are then added together to determine how many spaces the player advances on the board. Select the method of display that would be best for showing all of the outcomes for each number cube and the sums that would result. Create the display, and justify the reasoning behind your choice.
Answer:
The odds of rolling a 3 on a 6-sided number cube is 1 out of 6. The odds of rolling a 3 on either of two 6-sided cubes are 1/3. This is because 1/6 * 2 = 1/3. Therefore, an average of one-third of rolls will have a 3 in them. 1/3 expressed as a decimal is .3 repeating (.3333333 etc) and that rounds to 33 which is less than 34.
Step-by-step explanation:
The sum of two numbers is 20.5 and the difference of the same two numbers is 6.5.
Find the two numbers. *
Answer:
13.5 and 7
Step-by-step explanation:
x + y = 20.5
x - y = 6.5
Hence,
x = 20.5 - y
20.5 - 2y = 6.5
Hence,
2y = 14
y = 7
and x = 20.5 - y = 20.5 - 7 = 13.5
The two numbers are are 13.5 and 7.
What linear equations represents the numbers?a + b = 20.5 equation 1
a - b = 6.5 equation 2
Where a and b represents the two numbers
What is the value of b?In order to determine the value of b, subtract equation 2 from 1
2b = 14
Divide both sides by 2
b = 7
What is the value of a?Substitute for b in equation 1
a + 7 = 20.5
a = 20.5 - 7
a = 13.5
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
(8p-2)(6p+2)
multiplying polynomials please help me
Answer:
48p2+4p-4
Step-by-step explanation:
Answer:
48p² +4p -4
Step-by-step explanation:
A polynomial of two terms is called a 'binomial'.
Here, we are multiplying 2 binomials.
This is so common, there is a standard way to do it. The method is called FOIL, which means "firsts, outsides, insides, then lasts"
You do it like this:
multiply the 'first terms' of each binomial --> 8p*6p = 48p²
multiply the 'outside' terms, far left and far right --> 8p*2 = 16p
multiply the 'inside' terms, the two terms in the 'middle' --> -2*6p = -12p
multiply the 'last' terms of each binomial --> -2 * 2 = -4
Add 'like' terms: 48p² + (16p - 12p) -4
Answer ---> 48p² +4p -4
I need help with this
Answer:
look at the picture i sent.......
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 290 engines and the mean pressure was 4.1 pounds/square inch (psi). Assume the population standard deviation is 0.6. The engineer designed the valve such that it would produce a mean pressure of 4.2 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.02 will be used. Find the P-value of the test statistic. Round your answer to four decimal places.
Answer:
P-value = 0.0046
Step-by-step explanation:
Given that:
Sample size n = 290
sample mean [tex]\overline{x_1}[/tex] = 4.1
standard deviation [tex]\sigma[/tex] = 0.6
population mean [tex]\mu[/tex] = 4.2
The null and the alternative hypothesis
[tex]\mathbf{H_o: \mu = 4.2} \\ \\ \mathbf{H_a: \mu \ne 4.2}[/tex]
This is a two-tailed test.
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = \dfrac{4.1 - 4.2 }{\dfrac{0.6}{\sqrt{290}}}[/tex]
[tex]Z = \dfrac{-0.1 }{\dfrac{0.6}{\sqrt{290}}}[/tex]
Z = -2.838
P-value = P(Z> 2.838)
P-value = P(Z< -2.838) +P(Z > 2.838)
P-value = 0.00227 + (1 - 0.9977)
P-value = 0.00457
P-value = 0.0046 (to 4 decimal places)
Evaluate x1 - x1 + x0 for x = 2.
0
1/2
1 1/2
2 1/2
Answer:
the answer is 0
Step-by-step explanation:
hoped I helped:)
Answer: 2 1/2
Step-by-step explanation:
6(y-12) someone please help
Answer:
-6y
Step-by-step explanation:
6 - 12 = -6
-6 * y = -6y
Hope this helps :)
Answer:
6y-72
Step-by-step explanation:
math problemmmmm
—————————-
Answer:
The answer to your question is x = 4
x=4
Step-by-step explanation:
To start figuring this out, you need to combine like terms.
To start, you can combine all terms containing the variable x, which is 2x and 3x. This would then make the equation 5x+7-2=25.
You then need to combing the singular numbers, 7 and -2. Doing this brings the equation to 5x+5=25.
From here, subtract 5 from both sides to get you 5x=20.
Finally, you divide both sides by 5 to get you x=4.
I hope this helped!! Let me know if you need any further help!
Is the following number rational or irrational?
0.7
Choose 1 answer:
A
Rational
B
Irrational
Answer:
it is rational cause it can be turned into a fraction 0.7= 7/10
How do you graph X>=4y?
Answer:
[tex]x\geq 4y\\y\leq \frac{x}{4}[/tex]
which inequality has the same solution set as 3(q + 6) > 11?
3q + 18 < 11
3q + 6 > 11
q + 18 > 11
q + 18 > 11
Given:
The inequality is
[tex]3(q+6)>11[/tex]
To find:
The inequality that has the same solution set as the given inequality.
Solution:
We have,
[tex]3(q+6)>11[/tex]
Using distributive property, we get
[tex]3(q)+3(6)>11[/tex]
[tex]3q+18>11[/tex]
Since the given inequality can be rewritten as [tex]3q+18>11[/tex], therefore the inequality [tex]3q+18>11[/tex] has the same solution set as [tex]3(q+6)>11[/tex].
Hence, all options are incorrect. The required inequality is [tex]3q+18>11[/tex].
Answer:
3q+18 > 11
Step-by-step explanation:
виконати питання,..
.
..
Answer:
what kanguage s this?!!
Step-by-step explanation:
if the body temperature in 98.6. what is the temperature in celcius
Answer:
37 Degree celcius; is the correct answer...
Use synthetic substitution to find |(3) for f(x) = x2 - 9x +5.
Oa. 41
Ob.-23
Oc. -13
Od. -16
Answer:
-13
Step-by-step explanation: