The y-intercept for the function g(x) is 4.
The y-intercept of a function is a point where the line crosses the y-axis. The linear function can be given as below.
f(x) = mx+n
Where m is the slope of the line and n is a real number and y-intercept of the line.
The given function is f(x)=-4x—2.
The function is vertically translated 6 units up to g(x).
The y-intercept of the function f(x) is -2. Then the y-intercept for the function g(x) can be given as below.
y-intercept g(x) = -2+6
y-intercept g(x) = 4
Hence, the y-intercept for the function g(x) is 4.
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Two fair dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 9?
A)11/12. B)5/6. C)1/12. D)1/6
Answer:
There are 36 possible outcomes when two dice are rolled (6 outcomes for the first die and 6 outcomes for the second die). To find the probability that the sum of the two numbers on the dice will be greater than 9, we need to count the number of outcomes where the sum is greater than 9.
The possible outcomes where the sum is greater than 9 are (4,6), (5,5), (5,6), and (6,5), for a total of 4 outcomes. Therefore, the probability of getting a sum greater than 9 is 4/36 or 1/9.
Answer: C) 1/12.
is the p- value 4.91541E-15 higher or lower than 0.05?
The p-value of 4.91541E-15 (or 4.91541 x 10^-15) is considerably beneath the conventional significance level of 0.05 employed in statistical hypothesis testing.
How to get the p value that is greaterIn hypothesis testing, the p-value symbolizes the probability of detecting the test statistic (or an even larger value) under the null hypothesis. A p-value of 0.05 or below often appears statistically relevant, suggesting powerful evidence contrary to the null hypothesis.
Therefore, a p-value of 4.91541E-15 being far less than 0.05 implies very compelling evidence against the null hypothesis.
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Help ASAP please
Suppose that you deposit $6500 into a bank account that pays 4% annual interest compounded continuously. Assuming that you make no other deposits or withdrawals, how long will it take before your account balance reaches $10,000?
Round your answer to the nearest tenth.
The time it will take for your account balance to reach $10,000 is given as follows:
t = 10.8 years.
What is continuous compounding?The balance of an account after t years, using continuous compounding, is given as follows:
A(t) = A(0)e^(kt).
In which:
A(0) is the initial deposit.k is the interest rate, as a decimal.The parameters for this problem are given as follows:
A(0) = 6500, k = 0.04.
Hence the time needed for a balance of $10,000 is obtained as follows:
10000 = 6500e^(0.04t)
e^(0.04t) = 10000/6500
0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential
t = ln(10000/6500)/0.04
t = 10.8 years.
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-3(w+5)+4(3w-5) simplify
Answer:
9w - 35
Step-by-step explanation:
-3(w + 5) + 4(3w - 5)
(Use the distributive property to multiply -3 by w + 5.)
-3w - 15 + 4(3w - 5)
(Use the distributive property to multiply 4 by 3w - 5)
-3w - 15 + 12w - 20
(Combine -3w and 12w to get 9w.)
Subtract 20 from -15 to get -35.
9w - 35.
Answer:
[tex]\mathrm{9w-35}[/tex]Step-by-step explanation:
[tex]\mathrm{-3(w+5)+4(3w-5) }[/tex]
Expand (Apply the distributive property) :-
[tex]\mathrm{-3w-15+12w-20}[/tex]
Combine like terms:-
[tex]\mathrm{-3w+12w=\bf 9w}[/tex]
[tex]\matherm{-15-20=\bf-35}[/tex]
[tex]\mathrm{9w-35}[/tex]
______________________
Hope this helps!
5 divided 0.8
Simple math how would I write this out on paper
Danielle is saving to buy a bedroom set that cost $2,976. If she saves for 24 weeks, how much will she need to save each week?
Answer:
$124 per week
Step-by-step explanation:
To fins how much she needs to save each week, divide the total cost by the amount of time. In this problem, divide $2,976 by 24 weeks to find the amount she needs to save.
$2976/24=$124 per week
Evaluate the expression
12-3y divided by 2 + y(2y-4 divided by y) for y = 3
answer with explanation
Need help. This please
The domain of the function in this problem is given as follows:
all real numbers.
How to obtain the domain of the function?The domain of a function is the set of all the possible input values that can be assumed by the function.
On the graph, the domain of the function is given by the values of x of the function.
A quadratic function has no restrictions on the domain, hence it is defined by all the real values.
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For the position function s(t)20/t+1, complete the following table with the appropriate average velocities. Then make a conjecture about the value of the instantaneous velocity at t = 0.
Answer:So the instantaneous velocity at t = 0 is -20. This means that the object is moving in the negative direction at a rate of 20 units per second at t = 0.
Look at the Photo
determine he measures of the angles
Answer:
45
Step-by-step explanation:
In the coordinate plane, the point A (-2, -4) is translated to the point A' (-3, -1). Under the same translation, the points B (0, -7) and C (-5, -8) are translated to B' and C', respectively. What are the coordinates of B' and C'?
The coordinates of the points B' and C' are B' = (-1, 10) and C' = (-6, -5)
Calculating the coordinates of B' and C'?From the question, we have the following parameters that can be used in our computation:
A = (-2, -4)
This point is translated to
A' = (-3, -1)
This means that the rule of transformation is
(x, y) = (x - 1, y + 3)
Given that
B = (0, 7) and C = (-5, -8)
When this transformation is applied on B and C, we have
B' = (0 - 1, 7 + 3) and C' = (-5 - 1, -8 + 3)
Evaluate
B' = (-1, 10) and C' = (-6, -5)
Hence. the coordinates of B' and C' are B' = (-1, 10) and C' = (-6, -5)
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
What type of correlation is suggested by the scatter plot?
Positive, weak correlation
Negative, weak correlation
Positive, strong correlation
Negative, strong correlation
No correlation
see picture of problem
The 90% confidence that the proportion of yellow peas is between 23.5% and 29.5%
and, 25% estimate falls within the 90% confidence limits.
We have,
Green peas= 445
Yellow peas= 161
So, Total peas:
= 445 + 161
= 606.
Now, the Proportion of yellow
= 161/606
= 0.265676
= 26.56%
Now, p= 0. 265 and q= 1-0.265= 0.735
So, np = 606 (0.265)= 160.59
nq = 606(0.735) = 445.41
As, both results are ≥ 5 and the sample can be approximated by a normal distribution.
For 90% confidence, z = 1.645.
Now, the margin error
= 1.645 √ (0.265)(0.735) / 606
= 1.645 / 0.0179
= 0.0294
Now, The confidence limits are the point estimate ± the margin of error. =
= 0.265 + 0.03
= 0.295
= 29.5%;
or, 0.265 - 0.030
= 0.235
= 23.5%
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K/7.8+61.1=17.8 what is k
Answer:
To solve for k, we first need to isolate k on one side of the equation by subtracting 61.1 from both sides:
K/7.8 + 61.1 - 61.1 = 17.8 - 61.1
K/7.8 = -43.3
Next, we multiply both sides by 7.8 to isolate k.
K = -43.3 * 7.8
K = -338.34
Therefore, k is approximately equal to -338.34.
A rectangular prism is 4 meters long, 15 meters wide, and 8 meters high. What is the surface area of the rectangular prism?
Answer: The surface area of the rectangular prism is 424 square meters.
Step-by-step explanation: To find the surface area of a rectangular prism, we need to add up the areas of all six faces.
The front and back faces have an area of length x height, which in this case is 4 x 8 = 32 square meters each.
The top and bottom faces have an area of width x height, which in this case is 15 x 8 = 120 square meters each.
The left and right faces have an area of length x width, which in this case is 4 x 15 = 60 square meters each.
So the total surface area of the rectangular prism is:
32 + 32 + 120 + 120 + 60 + 60 = 424 square meters.
Therefore, the surface area of the rectangular prism is 424 square meters.
Number 1 please help
Answer:
x^2y^4
Step-by-step explanation:
b because u have to add the exponents of the like variable. x^4 and x^-2 are the like terms in this equations so 4+(-2) so its basically flipping the signs plus and the negative sign so it's just -2
really short question please help
Answer:2^4=4x-4 would be the answer
Step-by-step explanation: You would exponentiate both sides
A company produces two products: A and B. The relative market values at the split-off point are not available. For every $300,000 of joint costs, Product A produces 10,000 pounds, and Product B produces 40,000 pounds. The amount of joint costs allocated to Product B using the physical quantities method is $
The joint costs allocated to Product B is $240,000.
What is amount of joint costs allocated to Product B?We must allocate joint costs based on the relative physical quantities produced by each product.
The total physical quantity produced by both products is:
= Quantity of A + Quantity of B
= 10,000 + 40,000
= 50,000 pounds
We will calculate the proportion of physical quantity produced by product A:
= Quantity of B / Total physical quantity
= 40,000 / 50,000
= 0.8
The amount of joint costs allocated to Product B is will be
= Total joint costs x Proportion of
= $300,000 x 0.8
= $240,000.
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9. Max's monthly electricity budget only allows him to use 250,50 kWh (kilowatt-hours). The cost for 1 kWh is R2,20. Calculate the cost of his electricity bill.
Using the given information, the cost of Max's electricity bill is R551.10
Calculating the cost of electricity billFrom the question, we are to calculate the cost of Max's monthly electricity bill
From the given information,
"Max's monthly electricity budget only allows him to use 250.50 kWh"
and
"The cost for 1 kWh is R2.20"
To determine the cost of Max's monthly electricity bill, we will multiply his monthly electricity budget by the cost for 1 KWh
That is,
Max's monthly electricity bill = 250.50 × R2.20
Max's monthly electricity bill = R551.10
Hence,
The cost of Max's monthly electricity bill is R551.10
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The sun is a even number
The probability that the sum would be an even number, can be found to be 1 / 2 .
How to find the probability ?There are six sides on each die so the total number of outcomes is:
= 6 x 6
= 36 outcomes
We will get an even number if we get two odd numbers, and two even numbers. We will not get even, with an even number and an odd number.
The number of two odd number outcomes is:
= 3 x 3
= 9 outcomes
The two even outcomes:
= 3 x 3
= 9 outcomes
The probability that the sum is even is:
= ( 9 + 9 ) / 36 total outcomes
= 18 / 36
= 1 / 2
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help meeeeeeeeee please
The factored expression would have two brackets as shown.
How do you factor a polynomial?We can see that the Polynomial that we have to deal with in the questions that we have here are quadratic in nature and we have to deal with them as such. We are going to have that when we deal with the quadratic;
r^2 - 25r - 150
This can be factored into (r + 5) (r - 30)
Then;
64y^2 - 49z^2
This can be factorized to give;
(8y + 7z) (8y - 7z)
Also;
16y^2 - 88y + 121
Can be factorized to;
(4y - 11) (4y - 11)
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Help me please this question is too tricky for me
Calculator What is the surface area of this rectangular prism? O 110 in² O 180 in² O200 in² O220 in² 10 in. 5 in.
The surface area of the rectangular prism is 220 square inches
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
5 in by 10 in by 4 in
The surface area of the rectangular prism is calculated as
Area = 2 * (5 * 10 + 5 * 4 + 10 * 4)
Evaluate
Area = 220
Hence, teh area is 220 square inches
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I need help with this please
I NEED THE ANSWER! IM SO CONFUSED!!
[tex]\blue{\boxed{\bold{\mathbb{SOLUTION}}}}[/tex]
[tex]\cos C=\dfrac{CE}{AC}\\=\dfrac{8}{\sqrt{8^2+3^2}}\\=\dfrac{8}{\sqrt{64+9}}\\=\dfrac{8}{\sqrt{73}}\\=\boxed{0,936}[/tex]
[tex]\aqua{\boxed{\mathfrak{Thank \: You}}}\\\aqua{\boxed{\boxed{\mathfrak{answered \: by: \: akbarsdtazm}}}}[/tex]
How many centimeters are in x meters
Answer:
multiply the number of meters by 100
Determine the point estimate of the population mean and margin of error for the confidence interval. Lower bound is 20 , upper bound is 30.
The point estimate of the population mean is 25 and the margin of error for the confidence interval is 2.04.
To determine the point estimate of the population mean, we take the midpoint of the interval.
Point estimate of population mean = (Lower bound + Upper bound) / 2 = (20 + 30) / 2 = 25
To calculate the margin of error, we need to know the level of confidence for the interval. Assuming a 95% confidence level, we can use the formula:
The margin of error = (Upper bound - Lower bound) / (2 * z-score)
Where the z-score for a 95% confidence level is 1.96.
Margin of error = (30 - 20) / (2 x 1.96) = 2.04
Hence, the population means point estimate is 25, and the confidence interval's margin of error is 2.04 percent.
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I need help with this, thx! (Pls show working and steps so I would know how to do other questions!)
Answer:
t = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
calculate the gradient (slope) of AB using the slope formula and equate to the slope of the perpendicular line.
given line with slope 1 [tex]\frac{1}{4}[/tex] = [tex]\frac{5}{4}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{4} }[/tex] = - [tex]\frac{4}{5}[/tex]
calculate [tex]m_{AB}[/tex] using slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (2, - 3 ) and (x₂, y₂ ) = B (- 2, t )
[tex]m_{AB}[/tex] = [tex]\frac{t-(-3)}{-2-2}[/tex] = [tex]\frac{t+3}{-4}[/tex]
equating corresponding slopes
[tex]\frac{t+3}{-4}[/tex] = - [tex]\frac{4}{5}[/tex] ( multiply both sides by - 4 to clear the fraction )
t + 3 = - [tex]\frac{4}{5}[/tex] × - 4 = [tex]\frac{16}{5}[/tex] ( subtract 3 from both sides )
t = [tex]\frac{16}{5}[/tex] - 3 = [tex]\frac{16}{5}[/tex] - [tex]\frac{15}{5}[/tex] = [tex]\frac{1}{5}[/tex]
HELP ASAP I NEED DONE WITHIN 5 MINUTES OR A LITTLE MORE AND ALSO BRAINLIEST
The line plot represents the afterschool activities at 19 middle schools.
A horizontal number line starting at 0 and increasing by units of two up to 30. There is one dot above 6, 8, and 26. There are two dots above 10, 12, 18, 20, and 22. There are three dots above 14 and 16. The title is Afterschool Activities, and the number line is labeled Number of Activities.
Which statement best describes the spread and distribution of the data?
The data is symmetric with an approximate range of 20. The lowest value of 6 might mean that most students did not participate in activities.
The data is skewed with an approximate range of 20. The most frequent number of activities was 16 or more, which might mean that most of the students participated in the activities.
The data is symmetric with an approximate range of 20. The most frequent number of activities was 14 and 16, which might mean about half of the students in each class participated.
The data is bimodal with an approximate range of 20. This means that the most frequent number of activities was either 4 or 26, which might mean that the activities vary in each school.
Answer: the best answer is option A: the data is symmetric with an approximate range of 20. The lowest value of 6 might mean that most students did not participate in activities.
Step-by-step explanation: From the line plot, we can see that the data is not symmetric because the dots are not equally distributed on both sides of the plot. Therefore, we can eliminate options A and C.
Option D suggests that the data is bimodal, meaning that there are two peaks in the distribution. However, there is no clear indication of two peaks in the plot. Therefore, we can eliminate option D.
Option B suggests that the data is skewed, and the most frequent number of activities is 16 or more. However, this is not the case as the highest number of dots is above 14 and 16. Therefore, we can eliminate option B.
