Answers
If there are 5 questions and you want to pick the right one the probability is 1/5. If you don't know how to find that, let your calculator walk you to the answer.
1
÷
5
=
And it will tell you that it is 0.2.
So if you blindly (not brainly) fill in the multiple choice answer sheet, the number you will get right is
(P(0.2) * The total number of questions or
0.2 * 70 = 14
Just pure dumb luck will give you 14 correct answers.
Related Questions
List all integers between -15 and 25 that are congruent to 3 mod (11)
Answers
3 is the first trivial choice since "three goes into 11 zero times with three left over" so
11 × 0 + 3 = 3
11 × 1 + 3 = 14
11 × 2 + 3 = 25
For the negative ones we want,
11 × -1 + 3 = -8
A small school employs 5 teachers who make between $40,000 and $70,000 per year The newest teacher, Valerie, decides to teach part-time which decreases her salary from $40,000 to $20,000 per year. The rest of the salaries stay the same How will decreasing Valerie's salary affect the mean and median?
Answers
You can use the fact that median is affected only if the middle value(s) are changed if number of values are same.
The mean salary will become $4000 less than previous mean of salaries.The median will stay same as before.How are mean and median affected if a value is changed to some other value?The median is the middle value of the sorted(ordered in ascending or descending way)data values. If value changed is not the middle value (if number of observations are odd) or is not changing the average of two mid values (if number of observations are even), then the median won't change as it does't care about the value of the data unless its about the mid value of the sorted data or average of mid values.
The mean is affected by the data.
The mean of n values is calculated as:
[tex]\overline{x} = \dfrac{x_1 + x_2 + ... + x_i + ... + x_n}{n}[/tex]
Suppose that x_i changed to y
Then we have then new mean as
[tex]\begin{aligned}\overline{x}_{new} &= \dfrac{x_1 + x_2 + ... + (x_i -x_i + y)+ ... + x_n}{n}\\&= \dfrac{x_1 + x_2 + ... + x_i+ ... + x_n}{n} + \dfrac{-x_i + y}{n}\\&= \overline{x} + \dfrac{y-x_i}{n}\\\end{aligned}[/tex]
For the given data, one value was changed from $40,000 to $20,000, thus, as $40,000 was lowest value of the data, thus median stays same as before,.
And for new mean, we have:
[tex]\overline{x}_{new} = \overline{x} + \dfrac{y-x_i}{n} = \overline{x} + \dfrac{-20000}{5}\\\\\overline{x}_{new} = \overline{x} -4000[/tex]
Thus, new mean salary will be $4000 less than the previous mean salary.
Learn more about mean versus median here:
https://brainly.com/question/14315366
Decreasing Valerie's salary will lower the mean salary of the teachers. The effect on the median depends on the other salaries, but if Valerie's salary was the minimum, the median may remain unchanged.
Decreasing Valerie's salary from $40,000 to $20,000 will affect both the mean and median salaries of the teachers in the school. To determine the impact on the mean salary, we would subtract the amount of the decrease from the total salaries and then divide by the number of teachers. Originally, if we assume the other four teachers earn salaries between $40,000 and $70,000, the total salary pool would be the sum of all five teachers' salaries. With Valerie’s decrease, the new total would be $20,000 less. Dividing this new total by 5 would give us the new mean salary.
As for the impact on the median salary, this depends on where Valerie's original salary of $40,000 stood in relation to the other four salaries. Since she was making the minimum amount within the provided salary range, if all other teachers make more than $40,000, Valerie's reduced salary will not change the median, as the median is the middle value when all salaries are listed in order. However, if Valerie's salary was at the median, her reduced salary would lower the median if the next lowest salary is less than $40,000.
(4k^4 + 2 - 3k) + (5k^4 + k - 8)
Answers
You can only add values that have the same terms
4k^4 + 5k^4 = 9k^4
-3k + k = -2k
-8 + 2 = -6
The answer is 9k^4 - 2k - 6
Hope this helps!
= 4k^4 + 2 - 3k + 5k^4 + k - 8
= 9k^4 -2k -6
The simplest form is 9k^4 -2k -6
If you wanted to vertically stretch the graph of F(x) = |x| by five units, what would the equation of the new function, G(x), be?
A. G(x)=|x|-5
B. G(x)=|x+5|
C. G(x)=5|x|
D.G(x)=|5x|
mcr apex
Answers
Solution:
The Preimage function is , F(x)=|x|
Consider a point (a,b) on the function, F(x)=|x|. it means
b=|a|-----(1) satisfies the function.
Now the function F(x)=|x| is vertically stretched by 5 units.It means
x=a , y= b+5
x=a, b=y-5
So, putting the value of a and b in equation (1).
y-5=|x|
y= |x| + 5 is vertical stretch of y= |x| by 5 units.
{ x - y = 4 3x - 6y = -12 graph
Answers
y = 4
You can get this by graphing each equation and looking for the point of intersection.
Show that the vector field f(x,y,z)=⟨ycos(−2x),−2xsin(y),0⟩f(x,y,z)=⟨ycos(−2x),−2xsin(y),0⟩ is not a gradient vector field by computing its curl. how does this show what you intended?
Answers
Final answer:
To show that the given vector field is not a gradient vector field, we need to compute its curl. The curl is computed by taking the cross product of the gradient operator with the vector field. By computing the partial derivatives and simplifying, we find that the curl of the given vector field is not zero, which indicates that it is not a gradient vector field.
Explanation:
To show that the vector field is not a gradient vector field, we need to compute its curl. The given vector field is f(x,y,z) = <ycos(-2x), -2xsin(y), 0>. The curl of a vector field is defined as the cross product of the gradient operator with the vector field. In this case, the curl of f(x,y,z) is computed as:
curl(f) = ∇ × f = (∂f_z/∂y - ∂f_y/∂z)i + (∂f_x/∂z - ∂f_z/∂x)j + (∂f_y/∂x - ∂f_x/∂y)k
By computing the partial derivatives and simplifying, we find that:
∂f_z/∂y = 0∂f_y/∂z = 0∂f_x/∂z = 0∂f_z/∂x = 2ycos(-2x)∂f_y/∂x = 0∂f_x/∂y = -2sin(y)Substituting these values back into the curl formula, we get:
curl(f) = (2ycos(-2x))i + 0j + (-2sin(y))k
This shows that the curl of the vector field is not zero, which means the vector field is not a gradient vector field.
A metal bar weighs 8.18 ounces. 96% of the bar is silver.How many ounces of silver are in the bar?
Answers
In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%",
Given that a metal bar weighs 8.18 ounces and 96% of the bar is silver.
The amount of Silver in the bar is
[tex] A=\frac{96}{100}(8.18) =7.8528 [/tex].
The amount of Silver in the bar in ounces is [tex] 7.8528\;ounces [/tex].
What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of .
3x - y - 7 = 0
x - 3y + 7 = 0
x - 3y - 7 = 0
Answers
x -3y -7 = 0
_____
It has a slope of 1/3.
WILL GIVE BRAINLIEST
An oil company fills 1 over 10 of a tank in 1 over 5 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely?
1 over 5 ⋅ 10 hours
1 over 10 ⋅ 5 hours
1 over 5 ⋅ 1 over 10 hours
5 ⋅ 10 hours
Answers
Answer:
Option A. 1 over 5. 10 hours
Step-by-step explanation:
This question can be solved by the unitary method.
∵ Oil company fills [tex]\frac{1}{10}[/tex] of a tank in the time = [tex]\frac{1}{5}[/tex] hurs
∴ Full tank can be filled in the time = [tex]\frac{\frac{1}{5} }{\frac{1}{10} }[/tex] hours.
= [tex]\frac{1}{5}\times 10[/tex]
Therefore, the expression that can be used to determine the time that it will take to fill the tank completely will be Option A.
A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of .) 452.16 cm3 840.54 cm3 1,055.04 cm3 1,456.96 cm3 NextReset
Answers
So,
Volume of air = Volume of cylinder - Volume of cone
[tex]= \pi r^{2}h- \frac{1}{3} \pi r^{2}h \\ \\ =3.14(5)^{2}(16)- \frac{1}{3}(3.14) (4)^{2}(12) \\ \\ =1055.04[/tex]
Thus, the volume of the air surrounding the cone and inside the cylinder will be 1055.04 cubic centimeter
cylinder = pi * r * r * h
cone = pi * r * r * h/3
substitute the values;
The volume of air is equal to 1055.05cu.cm
Evaluate C(7, 7).
A: 0
B: 1
C: 7
If you can, could you please explain how you got your answer. These problems honestly don't make any sense to me and I'm turning towards here as a last resort. Thanks in advance.
Answers
C(n, k) = n!/(k!×(n-k)!)
where the "!" indicates the factorial, the product of all positive integers less than or equal to the given one.
Then C(7, 7) = 7!/(7!×0!) = 1/0!
You are supposed to know also that 0! ≡ 1, so C(7, 7) = 1.
This is the number of ways you can choose 7 objects from a pool of 7 objects without regard to order. (You can do it one (1) way: choose all of them.)
The appropriate choice is ...
B: 1
Answer:
Answer = 1
Step-by-step explanation:
A cylindrical can of cat food has a diameter of 3.5 inches and a height of 1.25 inches. A second brand of cat food is packaged in a cylindrical can with a radius of 1.2 inches and a height of 1.25 inches. What is the difference between the volumes of the cans? Show your work.
Answers
Which statements correctly describe the solid figure? Check all that apply.
It is an octagonal prism.
It is an octahedron.
It is oblique.
It is a Platonic solid.
It is a convex polyhedron.
Answers
A. It is an octogenarian prism.
C. It is oblique.
E. It is a convex polyhedron.
It is oblique.
It is a convex polyhedron.
Use the table to answer the question. House A $124,270 Annual appreciation 4% House B $114,270 Annual appreciation 5% In which of these years after it was purchased is the value of House A greater than the value of House B? Check all that apply. 7 8 9 10
Answers
f (x) = 124270 (1.04) ^ x
Evaluating for 7, 8, 9 and 10 we have:
f (7) = 124270 (1.04) ^ 7 = 163530.8422
f (8) = 124270 (1.04) ^ 8 = 170072.0759
f (9) = 124270 (1.04) ^ 9 = 176874.9589
f (10) = 124270 (1.04) ^ 10 = 183949.9573
For house B we have:
f (x) = 114270 (1.05) ^ x
Evaluating for 7, 8, 9 and 10 we have:
f (7) = 114270 (1.05) ^ 7 = 160789.3653
f (8) = 114270 (1.05) ^ 8 = 168828.8336
f (9) = 114270 (1.05) ^ 9 = 177270.2752
f (10) = 114270 (1.05) ^ 10 = 186133.789
We observe that for years 7 and 8 the value of house A is greater than the value of house B.
Answer:
7 and 8
American cheese 0.45 to 4.26 what is the percent increase
Answers
0.45 ------> 100%
4.26 ------> x
Clearing x we have:
x = (4.26 / 0.45) * (100)
x = 946.6666667%
Thus, the percentage of growth is:
946.6666667 - 100 = 846.6666667
Rounding:
846.7%
Answer:
the percent increase is:
846.7%
PLEASE HELP You have just applied, and have been approved for a $175,000 mortgage. The rate quoted to you by the lender is 5.5% for a 30 year fixed mortgage. Use the provided table to determine how much of your first month’s payment goes towards the principal.
a.
$191.92
c.
$187.32
b.
$190.23
d.
$184.88
Answers
To calculate the portion of the first month's payment that goes towards the principal, we need the monthly payment amount, which is calculated from the loan amount, interest rate, and term. From there, we subtract the first month's interest from the monthly payment. In the absence of adequate information or a mortgage calculator, we cannot provide the correct option from (a-d).
Explanation:To determine how much of the first month's payment goes towards the principal of a $175,000 mortgage at a rate of 5.5% for a 30-year fixed mortgage, we need to calculate the monthly payment and then separate the interest from the principal.
The monthly payment M can be calculated using the formula:
M = P x (r(1+r)^n) / ((1+r)^n-1)
Where:
Next, we find the monthly interest portion by multiplying the principal by the monthly interest rate and subtract it from the monthly payment to find how much goes towards the principal.
Unfortunately, the information given does not provide a clear way to calculate the exact monthly payment or the portion applied to the principal without additional information or a financial calculator. In practice, you would use a formula or a mortgage calculator to find the total monthly payment, and then deduct the first month's interest to determine the amount applied to the principal. Without the correct formula or values, we can't determine the answer options (a-d) provided.
Two people started from the same point at the same time and traveled in opposite directions. One traveled at 60 mph and the other at 50 mph. How long will it take before the two people are 440 miles apart?
Answers
x = hours
60x + 50x = 440
110x = 440
110x / 110 = 440/110 = 4
It will take 4 hours
60x+ 50x = 440
60(4) + 50(4) = 440
440 = 440
Use the quadratic formula to solve, 2x^2=7x+6 Leave your answer in simplified radical form.
Please show all your work! (30 points)
Answers
Subtract both terms so that we can get 0 on one side.
2x² - 7x - 6 = 0
Find what factors of - 12 (2 * - 6) add up to be - 7. It's - 4 and - 3.
2x² - 4x - 3x - 6 = 0
2x(x - 2) - 3(x - 2) = 0
(x - 2)(2x - 3) = 0
Now set each equal to 0.
x - 2 = 0
x = 2
2x - 3 = 0
2x = 3
x = 3/2
x = 3/2, 2
for [tex]ax^2+bx+c=0[/tex], [tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
given [tex]2x^2=7x+6[/tex]
we need to get it into [tex]ax^2+bx+c=0[/tex] form
minus (7x+6) from both sides
[tex]2x^2-7x-6=0[/tex]
now, a=2, b=-7 c=-6
subsitute
[tex]x=\frac{-(-7) \pm \sqrt{(-7)^2-4(2)(-6)}}{2(2)}[/tex]
[tex]x=\frac{7 \pm \sqrt{49+48}}{4}[/tex]
[tex]x=\frac{7 \pm \sqrt{97}}{4}[/tex]
so [tex]x=\frac{7 + \sqrt{97}}{4}[/tex] or [tex]x=\frac{7 - \sqrt{97}}{4}[/tex]
4(x-7)(x+6)=0
[tex]4(x - 7)(x + 6) = 0[/tex]
Answers
Answer:
Expanded: 4x² - 4x - 168 = 0
Solutions: x = -6, 7
Explanation:
If you need to expand the expression:
First, distribute the 4 to the binomial directly to its right but multiply each term within the parentheses by 4.
4(x - 7) = 4(x) + 4(-7) = 4x - 28
The new equation is (4x - 28)(x + 6) = 0
Next, we use the FOIL method. This is an acronym that instructs which terms in each binomial are multiplied together. It stands for Firsts, Outsides, Insides, and Lasts.
Firsts: 4x(x) = 4x²
Outsides: 4x(6) = 24x
Insides: -28(x) = -28x
Lasts: -28(6) = -168
Put them into one equation and combine like terms.
4x² + 24x - 28x - 168 = 0
4x² - 4x - 168 = 0
If you need solutions to the expression:
First, divide both sides of the equation of the 4 that was previous factored out.
4(x - 7)(x + 6) = 0
[4(x - 7)(x + 6)] / 4 = 0 / 4
(x - 7)(x + 6) = 0
Now, set each binomial equal to 0 and solve for x using whatever operations are necessary.
x - 7 = 0 x + 6 = 0
x - 7 + 7 = 0 + 7 x + 6 - 6 = 0 - 6
x + 0 = 7 x + 0 = - 6
x = 7 x = - 6
The solutions to the expression are x = -6, 7
This is a priority! The equation of a parabola is 1/16 (y+3)^=x+4 what are the coordinates of the focus?
Answers
1. You have the following equation of a parabola:
1/16(y+3)^2=x+4
2. Rewriting the equation of the parabola, you have:
(y+3)^2=16(x+4)
3. The vertex of the parabola is:
(h,k)=(-4,-3)
3. Now, you must find the coefficient of the unsquared part, as below:
4p=16
p=16/4
p=4
4. As you can see, the y part is squared and p is positive. This means that the parabola that opens to the right.
5. The focus of the parabola has to be 4 units to the right of the vertex. Therefore, the focus is:
(0,-3)
The answer is: (0,-3)
when you multiply 2/3 by a fraction less than one, how does the product compare to the factors. Explain.
please
Answers
This is because you are multiplying two fractions which will make your answer a fraction of a fraction.
Choose the equation of a line in standard form that satisfies the given conditions. perpendicular to 4x + y = 8 through (4, 3) A. x − 4y = −8 B. x + 4y = 16 C. 4x − y = 11 D. 4x + y = 19
Answers
Choose the equation of a line in standard form that satisfies the given conditions. perpendicular to 4x + y = 8 through (4, 3)
4x + y = 8-----> y=-4x+8-----> the slope m is -4
we know that
if two lines are perpendicular
then
m1*m2=-1
m1=-4
so
m2=1/4
with m=1/4 and point (4,3)
find the equation of the line
y=mx+b
3=(1/4)*4+b-----> 3=1+b-----> b=2
y=(1/4)*x+2------> (1/4)*x-y=-2-----> multiply by 4----> x-4y=-8
the answer is the option
A. x − 4y = −8
The base of an isosceles triangle is 7 cm longer than the legs. Find the legs if the perimeter of the triangle is 43 cm.
Answers
43 cm = L + L + (L +7 cm)
36 cm = 3L
12 cm = L
The length of the legs is 12 cm.
Solve the equation for x, where x is a real number:
-4x^2 + 5x - 7 = 0
Answers
_____
The complex solutions are x = 0.625 ±i√1.359375
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -5 ± √((5)^2 - 4(-4)(-7)) ] / ( 2(-4) )
x = [-5 ± √(25 - (112) ) ] / ( -8 )
x = [-5 ± √(-87) ] / ( -8)
Since √-87 is nonreal, there are no real solutions to the given equation.
What is the formula for margin of error?
Answers
Formula for E is:
Critical Value x Standard Deviation / (Square Root of Sample Size)
[tex]E=critical* \frac{s}{ \sqrt{n} } [/tex]
The critical value is determined by the type of test that is to be used for the given scenario and the confidence level.
Answer:
ME=z×s/√n
Step-by-step explanation:
Basically the answer is C.
When the sample size and sample standard deviation remain the same, a 99% confidence interval for a population mean, µ will be narrower than the 95% confidence interval for µ?
Answers
In essence, you are casting a wider net which leads to the higher level of confidence. Imagine if there was a 100 mile stretch of straight land, and somewhere on this line was a special rock that you are looking for. You would be 100% confident if you said "the rock is somewhere on that piece of land", and less confident the more you shrunk the interval.
Using the equation for the margin of error, it is found that the 99% confidence interval will be wider than the 95% confidence interval for µ.
What is the margin of error of a confidence interval?The margin of error of a confidence interval is given by an equation in the following format:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
In which:
t is the critical value, which increases as the confidence level increases.s is the standard deviation of the sample.n is the sample size.In this problem, a 99% confidence interval will have a higher value of t than a 95% confidence interval, hence a higher margin of error, and thus will be wider.
You can learn more about the margin of error of a confidence interval at https://brainly.com/question/25779324
If f(x) = 2x - 8 and g(x) = square root of x - 5, what is (f ^ g)(30).
Answers
The output of the function (f ^ g)(30) in this context refers to first calculating the output of the g function given x = 30, then substituting this output into the f function. With g(30) = sqrt(x - 5) and f(x) = 2x - 8, we find that (f ^ g)(30) = 2.
Explanation:To find (f ^ g)(30), we first need to find the output of the g function when x = 30 and then substitute this output into the f function. This is also known as the composition of functions.
First, let's find the output of the g function when x = 30. Given that g(x) = sqrt(x - 5), for x = 30, g(30) = sqrt(30 - 5) = sqrt(25) = 5.
Next, we substitute this output into the f function. Given that f(x) = 2x - 8, when x = 5, f(5) = 2(5) - 8 = 10 - 8 = 2.
Therefore, (f ^ g)(30) = 2.
Learn more about Composition of Functions here:https://brainly.com/question/30143914
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To find the value of [tex](f ^ g)(30)[/tex], substitute 30 into both f(x) and g(x) to find f(30) and g(30). Then substitute g(30) into f(x) to find the final value.
Explanation:In this mathematics question, you're asked to find the value of [tex](f ^ g)(30)[/tex]where [tex]f(x) = 2x - 8[/tex]and g(x) = square root of x - 5. To calculate (f ^ g)(x), we first need to find the value x in both functions f and g. So, let's find f(30) and g(30) first.
Firstly, substitute x = 30 into f(x). So, [tex]f(30) = 2*30 - 8 = 52[/tex]. Now, substitute x = 30 into g(x). So, g(30) = square root of (30 - 5) = square root of 25 = 5.
Now, f ^ g(30) means we substitute the output of g(30) = 5 into f(x) which gives us [tex]f(5) = 2*5 - 8 = 2.[/tex]
Learn more about Composite Functions here:https://brainly.com/question/30143914
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Michael has $1.95 totally in his collection, consisting of quarters and nickels. The number of nickels is three more than the number of quarters. How many nickels and how many quarters does Michael have?
Answers
9 Nickels = $0.45
Total= $1.95
Answer is 6 quarters and 9 nickels.
If pluto's average distance is approximately 100 times mercury's average distance, how many units on the logarithmic scale is pluto from mercury?
Answers
The default base for logarithms is 10, so saying that something is 2 units means that we are raising the base 10 to the power of 2.
[tex]10^2=100[/tex]
Written as a logarithm, this would be:
[tex]log_{10}100=2[/tex]
Whatever number you plug into the function, the answer will be whatever power the base needs to be raised to in order to equal the original number.
For example:
[tex]log_{2}8=3[/tex]
because
[tex]2^3 = 8[/tex]
Fill in the blank 300mm =___m
Answers
Final answer:
To convert 300mm to meters, divide 300 by 1000 because there are 1000 mm in a meter, resulting in 0.3 meters.
Explanation:
To convert millimeters to meters, we use the conversion factor that 1000 mm equals 1 m. Therefore, to convert 300mm to meters, you divide 300 mm by 1000 because there are 1000 mm in a single meter. So, let's carry out the calculation:
300 mm ÷ 1000 = 0.3 m
Thus, 300 mm is equal to 0.3 meters.