The expected number of times to select a green pencil when the pencils are selected 1350 times is 450
How to determine the number of times?The distribution of the pencils is given as:
Red = 4
Blue = 6
Green = 5
The total number of pencil is:
Total = 4 + 6 + 5
Evaluate the sum
Total = 15
The probability of selecting a green pencil is:
P(Green) = 5/15
Evaluate
P(Green) = 1/3
So, the expected number of times is:
E(x) = 1/3 * 1350
Evaluate
E(x) = 450
Hence, the expected number of times to select a green pencil is 450
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Answer: The Answer is 450
Explanation: I took the test and got it right
Hope this helps :)
4x-6+x+3 what is the value of x ?
Answer: [tex]5x-3[/tex]
Step-by-step explanation:
First, [tex]4x-6+x+3~ < --- Simplify ~the ~expression[/tex]
[tex]4x+x-6+3[/tex]
Add the numbers [tex]-6+3=-3[/tex]:
[tex]4x+x-3[/tex]
Add similar elements [tex]4x+x=5x[/tex]:
[tex]=5x+3[/tex]
Answer:
[tex]\boxed{\tt 5x−3}[/tex]
Step-by-step explanation:
[tex]\tt 4x−6+x+3 [/tex]
Combine 4x and x = 5x:-
[tex]\tt 5x−6+3[/tex]
Now, Add -6 and 3 = -3:-
[tex]\tt 5x−3[/tex]
- :)
simplify the expression by combing like terms. write the twins from the highest to the lowest power of the variable. 15a + 12b - 14c * 3a + 19b -6c
Answer:
−42+15+31−6
Step-by-step explanation:
Combine the terms
Two people ran in a city election. The winner received 1 more than 3 times as many votes as the runner-up. Let w represent the number of votes the winner received. Let x represent the number of votes the runner-up received. The number of votes the runner-up received is known. Which equation represents the number of votes the winner received?
Answer:
w = 3x + 1
Step-by-step explanation:
Answer:
w=3x+1
Step-by-step explanation:
The winner (w) received 1 more (+1) than 3 times (*3) the number of votes the runner-up received. Since the runner-up is represented by x the number of votes the winner received can be represented by the equation w=3x+1.
Toby just graduated from four years of college. at the beginning of each year, he took out a stafford loan with a principal of $6,125. each loan had a duration of ten years and an interest rate of 5.3%, compounded monthly. all of the loans were subsidized. toby plans to pay off each loan in monthly installments, starting from his graduation. what is the total lifetime cost for toby to pay off his 4 loans? round each loan's calculation to the nearest cent. a. $7,904.04 b. $31,616.16 c. $10,393.82 d. $36,490.25 please select the best answer from the choices provided a b c d
If he starts paying after four years, the worth of the loans by then is b. $31,616.16
What is a Loan?This refers to the amount collected from a lender to be repaid after a given time, usually with added interest.
Hence, we can see that:
The effective monthly interest rate is:
i = 0.053/12 = 0.0044
The effective annual interest rate is:
i = (1 + 0.0044)^12 -1 = 0.0543
The present worth of all the loans is:
P = 6125 + 6125 (1 + 0.0543)^-1 + 6125 (1 + 0.0543)^-2 + 6125(1 + 0.0543)^-3
P = $22,671.40
If he pays them prompty, then the total lifetime cost would be
P = 22671.40 (1 + 0.0543)^4 = $31,616.16
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Which of the following conditions would guarantee that triangles are identical?
Two triangles with the same angle measurements (Ex:both triangles have angles 35,65, and 90 degrees)
Two triangles have one angle the same and two sides the same measurement (Ex: both triangles have a 40 degree angle and two sides that are 7 and 9 cm
long)
Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)
Two triangles have two angles the same and one side length the same measurement (Ex: both triangles have angles 62 and 29 degrees and a side length of
10 cm)
2
Answer: Two triangles have the same side lengths (Ex: both triangles have sides 3, 4, and 5 cm)
Step-by-step explanation:
1) This would guarantee similarity, but not necessarily that they are identical.
2) The angle has to be included between the two sides, which is not specifed.
3) This would work (SSS congruence)
4) It is not specified if the side is opposite the corresponding angles.
The principal would like to assemble a committee of 7 students from the 13-member
tudent council. How many different committees can be chosen?
I know the answer just need someone explain to me how to solve it
The logarithm of a quotient can be written as a difference of logarithms:
[tex]\log_3\left(\dfrac uv\right) = \log_3(u) - \log_3(v)[/tex]
You can also think of this as a combination of the product-to-sum and reciprocal/power properties of logarithms:
[tex]\log_3\left(\dfrac uv\right) = \log_3\left(u \times \dfrac1v\right) = \log_3(u) + \log_3\left(\dfrac1v\right) = \log_3(u) - \log_3(v)[/tex]
To summarize,
[tex]\log_b(mn) = \log_b(m)+\log_b(n)[/tex]
[tex]\log_b\left(\dfrac mn\right) = \log_b(m) - \log_b(n)[/tex]
[tex]\log_b\left(m^n\right) = n \log_b(m)[/tex]
A cube has an edge length of 9 meters. What is its volume, in cubic meters?
Work Shown:
volume = side*side*side
volume = 9*9*9
volume = 729
A slight shortcut would be to say 9^3 = 729
(x + 14)
D
А
O
A. 38
B. 36
O C. 45
O D. 40
O E. 26
Can someone help me with this question? Thanks!
The probability that the student loses his earbuds in cherry st. in the path of home to school is 0.2857 or 28.57%.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The path of the student from the home to school consists of:
0.2 miles of cherry st.0.4 miles of park st.0.1 miles of pine st.Total distance of the path of student from the home to school is,
d=0.2+0.4+0.1
d=0.7 miles
Now, the distance of cherry st. is 0.2 miles. Thus, the probability that he loses his earbuds in this st. is,
P=(0.2)/(0.7)
P=0.2857
P=28.57 %
Thus, the probability that the student loses his earbuds in cherry st. in the path of home to school is 0.2857 or 28.57%.
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3. Determine the 5-day SMA for the 10 consecutive-day closing prices for
Sherwin-Williams Co listed below.
$242.50 $273.98 $278.16 $293.94 $285.04
$290.80 S296.02 $291.01 $293.41 $286.85
The 5-day SMA for the 10 consecutive-day closing prices are:
Day 2-6=$284.384Day 2-6=$284.384Day 3-7=$288.792Day 4-8=$291.362Day 5-9=$291.256Day 6-10=$291.618 5-day SMA for the 10 consecutive-dayDay 1-5:
Day 1-5 =$242.50+$273.98+$278.16 +$293.94+ $285.04÷5
Day 1-5=$1,373.62÷5
Day 1-5=$274.724
Day 2-6:
Day 2-6=$273.98+ $278.16 +$293.94 +$285.04+$290.80÷5
Day 2-6=$1,421.92÷5
Day 2-6=$284.384
Day 3-7:
Day 3-7=$278.16 +$293.94+ $285.04+$290.80 +S296.02÷5
Day 3-7=$1,443.96÷5
Day 3-7=$288.792
Day 4-8:
Day 4-8= $293.94 +$285.04+$290.80+$296.02+ $291.01÷5
Day 4-8=$1,456.81÷5
Day 4-8=$291.362
Day 5-9:
Day 5-9=$285.04+$290.80+$296.02 +$291.01 +$293.41÷5
Day 5-9=$1,456.28÷5
Day 5-9=$291.256
Day 6-10:
Day 6-10=$290.80+$296.02+ $291.01 +$293.41+ $286.85÷5
Day 6-10=$1,458.09÷5
Day 6-10=$291.618
Therefore the 5-day SMA for the 10 consecutive-day closing prices are:
$284.384; $284.384; $288.792; $291.362; $291.256; $291.618.
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Imagine a card game in which you have a 1 out of 10 chance of winning. If you win, you get $10. If you lose, you pay $2. What is the expected value of this game
Answer:
Pay [tex]\$0.8[/tex].
Step-by-step explanation:
Let [tex]X[/tex] denote the observed value of this game. Let positive values denote money received and negative values denote money paid.
There are two possible values for [tex]X[/tex]:
[tex]X = 10[/tex] (receive [tex]\$10[/tex],) and[tex]X = -2[/tex] (pay [tex]\$ 2[/tex].)The probability of each value is:
[tex]P(X = 10) = (1 / 10) = 0.1[/tex] as given in the question.[tex]P(X = -2) = 1 - (1/10) = (9/10) = 0.9[/tex].The expected value of this game, [tex]\mathbb{E}(X)[/tex], is an average of the outcomes [tex]x \in \lbrace 10,\, -2\rbrace[/tex] weighted by the probability [tex]P(X = x)[/tex] of each outcome:
[tex]\begin{aligned}\mathbb{E}(X) &= \sum\limits_{x} x\, P(X = x) \\ &= 10 \times P(X = 10) + (-2) \times P(X = -2) \\ &= 10 \times \frac{1}{10} + (-2) \times \frac{9}{10} \\ &= 1 - 1.8 \\ &= -0.8\end{aligned}[/tex].
The expected value of [tex]X[/tex] is [tex](-0.8)[/tex], meaning that on average, playing this game would require paying [tex]\$0.8[/tex].
Is it appropriate to use the geometric distribution to
calculate probabilities in this situation?
a medical device company knows that the percentage
of patients experiencing injection-site reactions with
the current needle is 11%. a nurse will collect data by
performing injections with this type of needle until five
people experience injection-site reactions.
yes, the geometric distribution is appropriate.
no, since each trial is not independent of the other
trials.
no, because it is not looking for the first occurrence
of success.
no, since the probability of success is not the same
for each of the trials.
The hypergeometric distribution should not be used, hence the correct option is given by:
no, because it is not looking for the first occurrence of success.
When the hypergeometric distribution should be used?These two conditions should be respected:
We should be looking for the probability of x successes on n trials, not the number of trials until n successes.The trials should not be independent, that is, the probabilities on each trial should be different.None of these conditions are true in this case, hence the correct option is given by:
no, because it is not looking for the first occurrence of success.
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The gross weekly pay is $424. His earnings to date for the year total $11.700. What amount is deducted from her pay this week for social security, which is taxed at 6.4 percent?
A. $748.80
B. $0
C. $424
D. $25.44
E. $27.14
Answer:424
Step-by-step explanation:
i don't know how to explain it but this seems the most correct one, her weekly gross pay is 424 and taxes end up getting taken out of the paycheck not earnings.
Please help!!!!!
A coin is tossed on the board shown. Which is the probability that it will land in region II?
A. 75%
B. 45%
C. 55%
Answer: B
Step-by-step explanation:
The area of the entire rectangle is (10+30)(15+10) = 1000, and the area of region II is (30)(15)=450. Hence, the desired probability is 450/1000 = 45%.
Evaluate the expression.
Find the value of x.
Answer:
sum of an exterior angle is 360
2x+56+85+57+4x=360
6x+198=360
6x=360-198
6x=162
x=162/6
x=27
Question 1 (2 points)
You can prove two triangles are similar...
if they have three proportional sides
if they have two congruent angles
if they have a congruent included angle between two proportional sides
True or False
Answer:
true
Step-by-step explanation:
the answer is true hope it helps
Order negative rational numbers from least (1) to greatest (5)
-3.75 -0.55 -3% -1/2 -1/5
Answer: From least to greatest, it goes: -3.75, -0.55, -1/2 -3%, -1/5
(PLEAse someone help me!) (No links!)
Answer:
<4 = 67 degrees
Step-by-step explanation:
angle 1 + angle 4 makes 180 degrees so since angle 1 is 113 degrres
180-113=67
Hope it helps:)
Please help me on this!
please help!!!!!!!!! This is Aleks
Answer:
For part A the price per pound is the same and for 50 $ it is 10 pounds.
Step-by-step explanation:
If you divide the price by the amount of tuna they will all have an answer of 5. so then you do 50 divided by 5 and get 10.
What’s the answer????
it questions is my level very hard questions
Step-by-step explanation:
graph x axis
Consider the parallelogram below.
Find the value of y.
Enter each line of work as an equation.
Answer: 10
Step-by-step explanation:
Opposite sides of a parallelogram are congruent, so [tex]17=y+7 \longrightarrow y=10[/tex]
What is the solution to this equation?
X- 17 = -5
Nine less than the product of 5 and a number is 6
[tex]let\ x\ be\ the\ number[/tex]
[tex]5x-9=6\\\\5x=15\\\\x=3[/tex]
I'm assuming you want the value of x
A chord of a circle is 18 cm long to. It is 6. 3cm from the center of the circle. Calculate the radius of the circle to the nearest whole number
Answer: 11
Step-by-step explanation:
By the Pythagorean theorem, x is about 11 cm.
Solve for the variable
12 = r/6
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
[tex]\bold{12 = \frac{r}{6} } \\ [/tex]
let's take 6 to the other side ~
[tex] \\ \bold{\implies \: r = 12 \times 6} \\ \\ \implies \: \bold\pink{r = 72}[/tex]
hope helpful ~
Answer:
r=72
Step-by-step explanation:
multiply both sides by 6 —> 12x6=r/6x6
12x6=r
73=r
ur welcome :)
brainliest please?
which expression represents four less than half a number, n? (show your work)
1. 4-1/2n
2. 1/2n-4
3. 1/2 (4-n)
4. 1/2 (n-4)
Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo concentrate for every 9 cups of water. Devin will use 36 cups of water.
Answer:
Devin needs 8 cups of shampoo.
Step-by-step explanation:
The ratio for shampoo:water is 2:9, so if Devin uses 36 cups of water, he needs 36/9 x 2 = 8 cups of shampoo
