Simplify 3 y − 2 y + 3 − y + 5
Answer:
8
Step-by-step explanation:
3y - 2y + 3 - y + 5
y + 3 - y + 5
3 + 5
8
hope this helps :]
Answer:
8
Step-by-step explanation:
3y - 2y + 3 - y + 5
(3y - 2y - y) + (3 + 5)
0 + 8
8
Hope this helps!
Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a
monthly fee and a charge for each minute of calling time. In June she used 350 minutes and the cost
was $177.00. In July she used 900 minutes and the cost was $397.00.
A) Express the monthly cost C as a function of x, the number of minutes of calling time she used.
Answer: c(x) = 4x +
syntax error.
B) If Jane used 622 minutes of calling time in August, how much was her bill?
Answer: $
7a + 5 = 19
What’s the answer
Answer:
2
Step-by-step explanation:
You have to undo in reverse order- subtraction and addition first, division and multiplication second, then exponents, and finally, parentheses.
Here's the work shown-
7a + 5 (-5) = 19 (-5)
7a/7 = 14/7
a = 2
Answer:
a=2
Step-by-step explanation:
You have to subtract 5 from 19 to get 14.
Then, you get:
7a=14
a=2
Select the correct answer.
Which expression simplifies to 4 square of 13
A.sqaure root of 17
B.square root of 29
C.square root of 208
D.square root of 58?
Answer:
Square root of 208
Step-by-step explanation:
4 square of 13 = square 16 X square 13
= square 16 X 13
= 208
Hi guys.
'Eric earns £14 per hour. He works for 38 hours per week. He saves 1/4 of his earnings
each week. How many weeks will it take him to save £1200?'
I believe I have the answer but I just want to check it is right as it is big test revision
Answer:
It will take Eric 10 weeks to save £1200
Step-by-step explanation:
He makes £14 per hour, since he works for 38 hours per week,
That means that he makes (14)(38) = £532 per week
Since he saves 1/4 of his earnings, that gives us,
Savings per week = (1/4)(weekly earnings)
Savings per week = 1/4(532)
Savings per week = £133 (per week)
Now, we need to find the number of weeks till he saves £1200,
we have,
Total savings = (number of weeks)(Savings per week)
let n = number of weeks,
Total savings = n(Savings per week)
so,
1200 = n(133)
n = 1200/133
n = 9.0225
Now, since he will have less than 1200 in 9 weeks (the number is greater than 9 i.e 9.0225 > 9)
So, we round up to 10,
Hence it will take Eric 10 weeks to save £1200
: If n = 10 and p = 0.70, then the standard deviation of the binomial distribution is
14.29.
0.07.
7.00.
1.45.
The formula to calculate the standard deviation (σ) of a binomial distribution is σ = √[n * p * (1 - p)] where n is the number of trials and p is the probability of success in each trial.
Substituting the given values, we get:
σ = √[10 * 0.70 * (1 - 0.70)]
σ = √[10 * 0.70 * 0.30]
σ = √2.1
σ ≈ 1.45
Therefore, the standard deviation of the binomial distribution with n = 10 and p = 0.70 is approximately 1.45.
Hence, the answer is 1.45.
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Two students are going to the store to buy school supplies for the new school year. One of the students buys 2 packs of pencils and 3 packs of pens for $8.25. Her friend purchases 5 packs of pencils and 2 packs of pens for $11.00. Is there enough information to determine the cost of 1 pack of pencils and 1 pack of pens? If so, find the cost of each. Explain your thinking.
Let the unit price for pencil be x
Let the unit price for pack be y
If the students bought 3 packs of pencil and 2 packs of pen for $8.25, then;
\(2x+3y=8.25.... 1\)
Similarly;
If her friend bought 5 packs of pencil and 2 packs of pen for $11, then ;
\(5x+2y=11 .... 2\)
We will have to solve both equations simultaneously as shown;
\(2x+3y=8.25... 1...*5 \\5x+2y=11 ... 2 ... *2 \\\)
---------------------------------------------------------------------------------------------------------------------------------------------------------
\(10x+15y=41.25\\10x=4y=22 \\\)
Subtract the resulting equations;
\(15y-4y=41.25-22\\11y=19.25\\y=19.25/11\\y= $ 1.75 \\\)
Hence 1 pack of pen costs %1.75
To get x, you will substitute y= 1.75 into equation 2;
\(2;5x+2y=11\\5x+2(1.75)=11\\5x+3.5=11\\5x=11-3.5\\5x=7.5\\x=\frac{7.5}{5} \\x=1.5\)
Hence 1 pack of pencil will cost costs $1.5
From the above solution, we can conclude that there are enough information to find the cost of each pack of pen and pencil.
PLEASE MARK ME AS BRAINLIEST
Let the unit price for pencil be x
Let the unit price for pack be y
If the students bought 3 packs of pencil and 2 packs of pen for $8.25, then;
Similarly;
If her friend bought 5 packs of pencil and 2 packs of pen for $11, then ;
We will have to solve both equations simultaneously as shown;
---------------------------------------------------------------------------------------------------------------------------------------------------------
Subtract the resulting equations;
Hence 1 pack of pen costs %1.75
To get x, you will substitute y= 1.75 into equation 2;
Hence 1 pack of pencil will cost costs $1.5
From the above solution, we can conclude that there are enough information to find the cost of each pack of pen and pencil.
A shipping container is in the shape of a right rectangular prism with a length of 13 feet, a width of 9 feet, and a height of 4 feet. The container is completely filled with contents that weigh, on average, 0.61 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
285pound
Step-by-step explanation:
Volume of the container = length * width * height
= 13 * 9 * 4
= 468 cubic feet
Weight of the contents in the container = 468 * 0.61 = 285.48 = 285pound
If the sampled population distribution is skewed, then in most cases the sampling distribution of the mean can be approximated by the normal distribution if the sample size n is at least 30. T/F
True. The central limit theorem states that if the sample size n is large enough (usually considered to be at least 30), then the sampling distribution of the mean will be approximately normal, regardless of the shape of the population distribution.
The sampling distribution of the mean can be approximated by the normal distribution if the sample size (n) is at least 30. This statement is based on the Central Limit Theorem, which states that the sampling distribution of the mean of a random sample drawn from any population will approach a normal distribution as the sample size increases, regardless of the shape of the population distribution. A sample size of 30 is often considered the threshold for approximating a normal distribution in such cases.
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In circle R with m/QRS = 78 and QR= 3 units, find the length of arc QS.
Round to the nearest hundredth.
Answer: 4.08 units
Step-by-step explanation: The length of an arc depends on the radius of a circle and the central angle θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:L / θ = C / 2πAs circumference C = 2πr,L / θ = 2πr / 2πL / θ = rWe find out the arc length formula when multiplying this equation by θ:L = r * θHence, the arc length is equal to radius multiplied by the central angle (in radians).
Soo, 13(3.14)/10•3= 4.08 to the nearest hundredth :)
Hope it’s not to late for u :)
Color of socks
Number of socks
white
9
black
2
blue
5
brown
8
9
From the table, the ratio of white socks to brown socks is
Select two latios equivalent to the ratio of white socks to brown socks.
45
27
24
B
40
45
24
28
41
Answer:
45:40
27:24
Step-by-step explanation:
45:40 c=5
27:24 c=3
In a game, a player draws a card from a stack of four cards (blue, green, red, and orange) and draws a card from a second stack of five cards (blue, purple, green, purple, orange). Which table shows the probability distribution when one card from each stack is drawn?
The table that shows the probability distribution when one card from each stack is drawn is Table 3.
What is the probability distribution?There are a total of 4 × 5 = 20 possible outcomes when one card is drawn from each stack. We can list all the possible outcomes:
Blue-blue
Blue-purple
Blue-green
Blue-purple
Blue-orange
Green-blue
Green-purple
Green-green
Green-purple
Green-orange
Red-blue
Red-purple
Red-green
Red-purple
Red-orange
Orange-blue
Orange-purple
Orange-green
Orange-purple
Orange-orange
Out of these 20 outcomes, there are 4 outcomes where the two cards match in color (blue-blue, green-green, purple-purple, and orange-orange).
Therefore, the probability distribution when one card from each stack is drawn is:
P(matching color) = 4/20
P(different colors) = 16/20
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Answer:
Step-by-step explanation:
Use a grid to show the sample space.
blue green red orange
blue BB BG BR BO
purple PB PG PR PO
green GB GG GR GO
purple PB PG PR PO
orange OB OG OR 00
There are 20 possible outcomes. The probability of each color combination is the number of times that combination occurs in the grid divided by 20. Find the probability of each combination and list the probabilities in a table to show the probability distribution.
outcome BB BG BR BO PB PG PR PO GG GR GO OR OO
probability 1 1 1 1 1 1 1 1 1 1 1 1 1
20 10 20 10 10 10 10 10 20 20 10 20 20
Evaluate each expression if x=6. the expressions are: 4(x-5). and 2x divided by 6. PLEASE HELP ME THIS IS DUE TONIGHT
Answer:
the first one equals 4. the second one equals 2
Step-by-step explanation:
mark me brainliest pls
Your friend says the solution to 6x + 19x - 3 = 5(5x + 6) is x = 33. Solve 6x + 19x-3 = 5(5x + 6). What was your friend's likely error?
Answer: Forgot to divide at the end
Step-by-step explanation:
To figure out your friend's error, solve the equation yourself.
Distribute the 5 to get 25x+30Combine like terms in the first equation toget 25x-3=25x+30Add 3 to the other side.When we do this, we realize adding 3 would make it 33. This shows that the friend likely forgot to divide by 25 to completely isolate x, and stopped at that step.
How do you slove -8 x (-2/3)
Answer:
\(\frac{16}{3\\}\)
Step-by-step explanation:
\(-8(\frac{-2}{3})\)
\(= (\frac{-8}{1}) (\frac{-2}{3})\)
\(=\frac{(-8)(-2)}{(1)(3)}\)
\(=\frac{16}{3}\)
Larry weighs 38 kg. John weighs half as much as Larry, and Michael weighs 7 kg more than John.
What is their weight all together?
Answer: 83 maybe
Step-by-step explanation:
Larry=38
John= 19( half of 38 is 19)
Michael= 26( 19+7= 26)
Hope this is correct and helps!!
an initial population of 765 quail increases at an annual rate of 16%. write an exponential function to model the quail population. what will the approximate population be after 4 years?
An exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.
Population growth is seen to increase at an exponential rate. We use the following to model this growth.
y = A₀(1 + r)ⁿ
where
y = value at time
A₀ = original value
r = rate of growth
n = time elapsed
An exponential function that models the quail population is set up like:
y = 765(1+0.16)ⁿ
so that, for example, if we wanted to figure out the population at time (4 years), then we would set up the function as follows,
y = 765(1+0.16)⁴
y = 765(1.16)⁴
y = 765* 1.81
to get
y = 1384.65 quails after 4 year has elapsed.
Hence, an exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.
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a video game sells for 79.99 it is marked down 30% what is the sale price on the video game
Is the relation shown below a function? Use the graph below to justify your response.
(0, 0), (2, 0), (2, 2), and (3, 4)
Answer:
yes it is a function there is no graph so I cant justify it
The relation is not a function.
Relations
Relations that are functions will pass the vertical line test
Points
The points are given as:
(0,0), (2,0), (2,2), and (3,4)
GraphsNext, we plot the points on the graph (see attachment).
From the graph, we can see that a vertical line passes through points (2,0) and (2,2).
Hence, the relation is not a function.
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Rewrite the following equation in slope-intercept form. Y + 5 = 1 7 ( x + 7 )
Answer: y = 17x + 114
Step-by-step explanation:
The equation for the slope-intercept form is y = mx + b.
Arrange the equation so that it resembles y = mx + b.
You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.
y + 5 = 17(x + 7)
y + 5 = 17x + 119
y + 5 - 5 = 17x + 119 - 5
y = 17x + 114
Answer:
Y = 17x + 114
Step-by-step explanation:
1. Y + 5 = 17 (x+7)
2. Y + 5 = 17x + 119 [Multiply the numbers in parenthesis by 17.]
3. Y = 17x + 114. [To keep the balance and move the 5 over, subtract it from 119.]
how do i round 13856 to the nearest hundred
Answer: 13,900
Step-by-step explanation:
To round numbers to the nearest hundred, you always look at the place one down which is the tens place. The tens place is 5.
The options for 856 to round to is either 800 or 900.
The rule is that 0-4 rounds down, 5-9 rounds up. Since the tens place is 5, it will round up to 900.
Therefore, the answer would be 13,900.
Hope This Helps djoodlys!:)9. Find the zero of (write just the number, If there is no zero, write "none")
f(x) = -16 - 2x
Answer:
-16
Step-by-step explanation:
PLSSS HELP!! Select the number that would make this statement true: 628 ÷ ________ = 0.628
10 to the power of 1
10 to the power of 2
10 to the power of 3
10 to the power of 4
Answer:
10 to the power of 3
Step-by-step explanation:
i used a calculator (´-﹏-`;) - Hope this helps
Find the first derivative for each of the following:
y = 3x2 + 5x + 10
y = 100200x + 7x
y = ln(9x4)
The first derivatives for the given functions are:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.
For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.
For the function\(y = 3x^2 + 5x + 10:\)
Taking the derivative term by term:
\(d/dx (3x^2) = 6x\)
d/dx (5x) = 5
d/dx (10) = 0
Therefore, the first derivative is:
dy/dx = 6x + 5
For the function y = 100200x + 7x:
Taking the derivative term by term:
d/dx (100200x) = 100200
d/dx (7x) = 7
Therefore, the first derivative is:
dy/dx = 100200 + 7 = 100207
For the function \(y = ln(9x^4):\)
Using the chain rule, the derivative of ln(u) is du/dx divided by u:
dy/dx = (1/u) \(\times\) du/dx
Let's differentiate the function using the chain rule:
\(u = 9x^4\)
\(du/dx = d/dx (9x^4) = 36x^3\)
Now, substitute the values back into the derivative formula:
\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)
Therefore, the first derivative is:
dy/dx = 4/x
To summarize:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For y = 100200x + 7x, the first derivative is dy/dx = 100207.
For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
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which method represents a correct way to solve the equation 2(t−5)=48?
The solution to the equation 2(t - 5) = 48 is t = 29.
To solve the equation 2(t - 5) = 48, we can use the following steps:
Distribute the 2 to the terms inside the parentheses:
2t - 10 = 48
Add 10 to both sides of the equation to isolate the variable term:
2t = 58
Divide both sides of the equation by 2 to solve for t:
t = 29
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according to a survey, 45% of people carry at least 1 reusable water bottle. if 5 people are selected randomly, what is the probability that at least 3 of them will be carrying a reusable water bottle? round your answer to the nearest tenth of a percent.
The probability that at least 3 of them will be carrying a reusable water bottle is 74.6%
Here it is given that probability of people who carry at least 1 reusable water bottle is p = 0.58.
A random sample of n = 5 people is selected.
This data follows a binomial distribution, with success denoted by a person carrying t least 1 reusable water bottle. The probability mass function of the binomial distribution is,
\(P(X=x)=(^n_x)P^x(1-P)^n^-^x; x=0,1,2,...0 < P < 1\)
Compute the probability that at least 3 of them will be carrying a reusable water bottle as follows:
P (X ≥ 3) =P(X=3)+P(X=4)+P(X=5)
\(P(X\geq 3)=(^5_3)0.58^3(1-058)^5^-^3+(^5_4)0.58^4(1-058)^5^-^4+(^5_5)0.58^5(1-058)^5^-^5\)
P(X≥3)=0.449538048+0.237646416+0.0656356768
P(X≥3)=0.746821224
The percentage is,0.746821224 × 100 = 74.6%.
Thus, the probability that at least 4 of them will be carrying a reusable water bottle is 74.6%.
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25% of what number is 9
Answer:
36
Step-by-step explanation:
This table shows how the cost of Dana’s birthday party depends on the number of guests. What is the price per guest?
Answer:
it would be 60
Step-by-step explanation
4*5= 20
8*5=40
12*5= 60
We multiply by 5 because if we divide 20/4=5, 40/8=5, 60/12=5.
True/False. If
=P0.06
, the result is statistically significant at the
=α0.01
level.
The statement is ▼(Choose one).
true or false
In hypothesis testing, a result is considered statistically significant if the p-value is less than or equal to the chosen level of significance, denoted by α. The statement "If P=0.06, the result is statistically significant at the α=0.01 level" is false.
In hypothesis testing, statistical significance is typically determined by comparing the p-value of a test statistic to a predetermined level of significance (α). If the p-value is less than α, then the result is considered statistically significant and the null hypothesis is rejected in favor of the alternative hypothesis.
In this case, if P = 0.06, it means that there is a 6% chance that the observed results occurred by chance alone under the null hypothesis. Since 0.06 is greater than α=0.01, the result is not statistically significant at the 0.01 level. Therefore, we cannot reject the null hypothesis at the 0.01 level of significance.
Since the p-value is greater than the level of significance, we do not reject the null hypothesis.
Therefore, we cannot conclude that there is a significant difference between the sample and population means at the 0.01 level of significance. It is important to note that statistical significance is not the same as practical significance, and even if the result is not statistically significant, it may still be meaningful or important in the context of the problem being studied.
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You owe $1,500 on a credit card with a 14.5% APR. The minimum payment is $80. How much goes toward the principal if you make the minimum payment at the end of the first month?
If you make the minimal payment of $80 on the end of the first month, $61.85 will cross towards the principal and $18.15 will go towards interest charges.
To calculate how much of the minimal charge goes closer to the principal, we first need to calculate the amount of interest that accrues at the outstanding balance for the first month.
Monthly interest rate = Annual interest price / twelve monthsMonthly interest rate = 14.5% / 12Monthly interest price = 0.01208333 or approximately 0.0121Interest charged for the month = monthly interest fee x outstanding stability
Interest charged for the month = 0.0121 x $1,500Interest charged for the month = $18.15Now we are able to calculate how a good deal of the minimal fee goes closer to the principal:
Amount closer to most important = minimum payment - interest charged for the monthQuantity toward principal = $80 - $18.15Quantity towards principal = $61.85Consequently, if you make the minimal payment of $80 on the end of the first month, $61.85 will cross towards the principal and $18.15 will go towards interest charges.
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