Answer:
multiplier = 6
marginal propensity to consume = .83
Step-by-step explanation:
/ means divided by
1 .
300,000,000 / 50,000,000 =
multiplier =
6
2.
300,000,000 - 50,000,000 =
250,000,000
250,000,000/300,000,000 =
marginal propensity to consume =
0.83333333333
or
.83
quizlet
marginal propensity to consume is equal to ΔC / ΔY, where ΔC is the change in consumption, and ΔY is the change in income
investopedia
Suppose you invest a certain amount of money in account that earns 3% annual interest. You also invest that same amount + $2000 that earns 4% annual interest. If the total interest from both accounts at the end of the year is $535, how much has been invested in each account?
Consider vectors u and v, where u=(1,-1) and v=(1,1). What is the measure of the angle between the vectors? 0° 60° 90° 180°
Answer:
HEY THERE!
Step-by-step explanation:
the correct answer for your question is 90°
Answer:
The answer is c :)
Step-by-step explanation:
90 degrees
The Blacktop Speedway is a supplier of automotive parts. Included in stock are 7 speedometers that are correctly calibrated and two that are not. Three speedometers are randomly selected without replacement. Let the random variable z represent the number that are not correctly calibrated.
Complete the probability distribution table. (Report probabilities accurate to 4 decimal places.)
x P(x)
0
1
2
3
Answer:
x P(x)
0 0.4167
1 0.5
2 0.0833
3 0
Step-by-step explanation:
The speedometers are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
In this question:
7 + 2 = 9 speedometers, which means that [tex]N = 9[/tex]
2 are not correctly calibrated, which means that [tex]k = 2[/tex]
3 are chosen, which means that [tex]n = 3[/tex]
Complete the probability distribution table.
Probability of each outcome.
So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,9,3,2) = \frac{C_{2,0}*C_{7,3}}{C_{9,3}} = 0.4167[/tex]
[tex]P(X = 1) = h(1,9,3,2) = \frac{C_{2,1}*C_{7,2}}{C_{9,3}} = 0.5[/tex]
[tex]P(X = 2) = h(2,9,3,2) = \frac{C_{2,2}*C_{7,1}}{C_{9,3}} = 0.0833[/tex]
Only 2 defective, so [tex]P(X = 3) = 0[/tex]
Probability distribution table:
x P(x)
0 0.4167
1 0.5
2 0.0833
3 0
find the are of a polygon.
Answer: 54 SQUARE UNITS ITHINK!!
Step-by-step explanation:
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Answer:
her salary will increase by $ 145 for every week
Step-by-step explanation:
x=1st paycheck (integer).
weekly raise = $ 145.
After completing the 1st week she will get $ (x+145).
Similarly after completing the 2nd week she will get
$ (x + 145) + $ 145.
= $ (x + 145 + 145)
= $ (x + 290)
So in this way end of every week her salary will increase by $ 145.
what are the zeroes of f(x)=(x-7)(x+8)
Answer:
The zeroes of f(x) = (x-7)(x+8) are 7 and -8.
Step-by-step explanation:
You have to figure out what makes each of the equal to zero.
Step 1 : Make the 2 equations both equal 0.
x-7 = 0
x+8 = 0
Step 2: Solve for x
x-7 = 0
x=7
x+8 = 0
x=-8
So 7 and -8 are both zeroes of this function.
3x=4(c-d)/d make d the subject
Answer:
[tex]d = \frac{4c}{3x + 4} [/tex]
Step-by-step explanation:
[tex]3x = \frac{4(c - d)}{d} [/tex]
Multiply both sides by d:
[tex]3xd = 4(c - d)[/tex]
Expand:
[tex]3xd = 4c \: - 4d[/tex]
+4d on both sides:
[tex]3xd + 4d = 4c[/tex]
Factorise d out of the left-hand side:
[tex]d(3x + 4) = 4c[/tex]
Divide both sides by (3x +4):
[tex]d = \frac{4c}{3x + 4} [/tex]
The Power in a circuit is given by the formula P=I^{2}R, where I is the Current and R is the Resistance. If the Resistance is always constant at 500, the Current is 1, and dI/dt = -0.5, then dP/dt = -500.
True or false and please show work. Thank you
True
Step-by-step explanation:
[tex]P(t) = I^2(t)R[/tex]
Taking the derivative of P(t) with respect to time,
[tex]\dfrac{dP(t)}{dt} = 2I(t)\dfrac{dI(t)}{dt}R[/tex]
[tex]\:\:\:\:\:\:\:\:= 2(1)(-0.5)(500) = -500[/tex]
HELP PLEASE!!!!!!!!!!!!!!!
Explanation:
The coefficients -24 and 8 divide to -24/8 = -3. Based on this alone, the answer is between choices B and C.
The m terms divide to [tex]\frac{m^5}{m^{-7}} = m^{5-(-7)} = m^{5+7} = m^{12}[/tex]
Notice how I subtracted the exponents. The general rule is [tex]\frac{a^b}{a^{c}} = a^{b-c}[/tex]
Since we get m^12, this points us to choice C as the final answer
For the sake of completeness, here's what the n terms divide to
[tex]\frac{n^4}{n^{-2}} = n^{4-(-2)} = n^{4+2} = n^{6}[/tex]
Subtract and show work.
Answer:
[tex]31y^{3} -28y^{2}[/tex]+35y
Step-by-step explanation:
Gil wants to have $9,500 in 7 years. Use the present value formula to calculate how much he should invest now at 2% interest, compounded semiannually in order to reach his goal.
Answer:
9500 × 1.02^7
Step-by-step explanation:
9500 × 1.02^7
Calculate that
For each of the following, assume that the two samples are obtained from populations with the same mean, and calculate how much difference should be expected, on average, between the two sample means. Each sample has n =4 scores with s^2 = 68 for the first sample and s^2 = 76 for the second. (Note: Because the two samples are the same size, the pooled variance is equal to the average of the two sample variances).
a) 4.24.
b) 0.24.
c) 8.48.
d) 6.00.
Next, each sample has n=16 scores with s^2 = 68 for the first sample and s^2 = 76 for the second.
a) 0.12.
b) 2.12.
c) 4.24.
d) 3.00.
Answer:
d)6.00
d)3.00
Step-by-step explanation:
We are given that
n=4 scores
[tex]S^2_1=68[/tex]
[tex]S^2_2=76[/tex]
We have to find the difference should be expected, on average, between the two sample means.
[tex]S_{M_1-M_2}=\sqrt{\frac{S^2_1}{n_1}+\frac{S^2_2}{n_2}}[/tex]
[tex]n_1=n_2=4[/tex]
Using the formula
[tex]S_{M_1-M_2}=\sqrt{\frac{68}{4}+\frac{76}{4}}[/tex]
[tex]S_{M_1-M_2}=\sqrt{\frac{68+76}{4}}[/tex]
[tex]S_{M_1-M_2}=\sqrt{36}=6[/tex]
Option d is correct.
Now, replace n by 16
[tex]n_1=n_2=16[/tex]
[tex]S_{M_1-M_2}=\sqrt{\frac{68}{16}+\frac{76}{16}}[/tex]
[tex]S_{M_1-M_2}=\sqrt{\frac{68+76}{16}}[/tex]
[tex]S_{M_1-M_2}=\sqrt{9}=3[/tex]
Option d is correct.
the amount of mil available per child in a day care centrr is given by the function m(x) =25/x, where x is the number of children and m is the quantity of available milk in liters. if 50 children are present on a day how much milk is available per child
Answer:
0.5 liters of milk are available per child.
Step-by-step explanation:
Amount of milk available per children:
The amount of milk, in liters, available for x children is given by:
[tex]m(x) = \frac{25}{x}[/tex]
50 children are present on a day
This means that [tex]x = 50[/tex]
How much milk is available per child?
This is m(50). So
[tex]m(50) = \frac{25}{50} = 0.5[/tex]
0.5 liters of milk are available per child.
A decorative wall in a garden is to be build using bricks that are 3 3/4 inches thick and mortar joints that are 1/4 inch. Use the diagram to find the height of the wall
Step-by-step explanation:
we cannot see the diagram, so we don't know how many layers of bricks are used. and therefore it is impossible to tell the height of the wall.
to have batting average over 0.500. how many hits in 45 times at bat would raul or karen need?
the compound interest of the rate of 5 percent on an amount of 4000$ at the end of 2 years
Answer:
hope you find it useful and helpful
Heeeelp me pleaseeee
Answer:
sorry but the pic is too blurr
Step-by-step explanation:
if u could fix the blurr so I can answer properly
The sum of two numbers is 8 and their difference is half of the sum. Find the
two numbers.
Answer:
6 and 2
Step-by-step explanation:
6+2= 8, so they can combine to equal 8. First box checked. Then, they can also be subtracted to get 4, half of 8. 8/2= 4 and 6-2=4. Second box checked.
Hope this helped :D
Step-by-step explanation:
Let's take the numbers as m and n and classify the info
m+n=8
m-n=4
So solving the sums Simultaneously you can get
2n=4
n=2
Substituting this value gives
2+m=8
m=6
Inorder to check if your answers are valid add them to the equations
6+2=8✅
6-2=4✅
Therefore the answers are valid
can someone help me solve this?
Answer:
[tex]\sqrt{x} -\frac{16}{\sqrt{x} }[/tex]
Step-by-step explanation:
Use completing the square to solve x^2+6x=13
Answer:
x = -3 +/- square root(22)
Step-by-step explanation:
x = -b +/- square root(b^2 - 4ac) / 2a
ax^2 + bx + c = 0
these are both the quadratic formula but one is solved for the x and another for 0
a= 1
b= 6
c = -13
x= -6 +/- square root( 6^2 - 4(1)(13)) / 2(1)
x = -6 +/- sqrt( 36 + 52) / 2
x= -6 +/- sqrt (88) / 2
sqrt of 88 = 2 x sqrt (22)
divide 2 on each
x= -3 +/- sqrt (22)
help me plsssssssss:(
Answer:
1: $1200
2: Food ($6000)
3: $3000
4: $1800
5: $3000
Step-by-step explanation:
1: 10%*12000 = 1200
2: Food 50%*12000 = 6000
3: 25%*12000 = 3000
4: 15%*12000 = 1800
5: Food - Education = 6000 - 3000 = 3000
Which operation must you use to find the water temperature after the submarine’s final dive? Which word or words in the problem signify this operation?
Answer:
the temperature drops 2 degrees F
Step-by-step explanation:
Answer:
The problem states that the temperature drops 2 degrees F. The word drops signifies that I should subtract 2 1/5 degrees F from 63 1/4 F.
Step-by-step explanation:
1/3=?/24
Which number is missing to make the equation true?
Answer:
8
Step-by-step explanation:
what is the simplified form of the following expression 3 sqrt 4x/5
Answer:
Kindly check the attached picture
Step-by-step explanation:
The solution to the problem has been explicitly solved in the picture attached below :
We need to find a number that makes the denominator a perfect cube in other to simplify the expression which is 25/25.
Kindly check the attached picture for detailed explanation
if cars A and B are traveling at the speed of 55km/hr and 75km/hr respectively. What is their average speed?
Answer:
65 km/hr
Step-by-step explanation:
The average of numbers can be calculated by adding them up and dividing that by how many numbers there are.
Here, we have two numbers. Therefore, we first add them (55+75 = 130) and then divide by 2 because there are 2 numbers, so 130/2 = 65
If 2(x + 3) - 27 = 3[7 - 2(x + 19)], what is 2x - 5?
Answer:
D = -23
Step-by-step explanation:
Answer:
D) -23
Step-by-step explanation:
Definitely
A river is 212 mile long. What is the length of the river on a map, if the scale is 1 inch : 50 miles?
Answer:
4.24 inches
Step-by-step explanation:
1 inch / 50 miles = x / 212 miles Cross multiply
1 inch * 212 miles = 50 miles * x Divide by 50 miles
1 inch * 212 miles / 50 miles = x
x = 4.24 inches.
How much is 0.24 of an inch?
0.24 * 50 = 12
So 0.24 inches represents 12 miles.
A recent national study about the effectiveness of Echinacea in cold treatments for adults was performed by a medical school in Kansas City. The results stated that 22.5% of the randomly chosen 250 adult subjects in the placebo group in the study noted that their treatment appeared to shorten the length of their colds. In an attempt to determine the average high school GPA of all students enrolled at a Regents University in Kansas, a researcher first randomly selects one of the six Regents Universities, then selects a random sample of 50 students from that University from which to gather data. The descriptive statistic of interest in this study is
Answer:
The average high school GPA of all students enrolled at a Regents University in Kansas
Step-by-step explanation:
Descriptive statistics refers to aspect of statistics which is employed when summarizing data. Descriptive statistics often use measure of center such as, mean, median and mode to give consider summary of both sample and population data. Measures of spread such as standard deviation and variance and so on also form part of descriptive statistics used for data summarization.
In the scenario described above, the descriptive statistic which the study intends to infer is the average or mean high school GPA of all students enrolled at a Regents University in Kansas. This mean value will be a single value which describes the GPA of all high school students.
Please help me on this
Answer:
58.8 in²
Step-by-step explanation:
you have no calculator ?
since you clearly have a computer or smart phone - there are calculator apps on all of them.
you really just need to use the given numbers and multiply and add them following the formula. so, what is your problem ?
anyway,
2pi×r×h + 2pi×r²
h = 5.9
r = 1.3
2pi × 1.3 × 5.9 + 2pi × 1.3² = 2pi × 7.67 + 2pi × 1.69 =
= 58.8 in²
30 students in grade 8 finished their summer packet before August 15.
This was 12% of all the students. How many students are in grade 8?
There are 1,200 people at the beach. If 88% of them went in the water,
how many people DID NOT go in the water?
A $800 T.V. is on sale for 15% off. What is the cost of the T.V.?
You go out to dinner and the bill is $45.12. You want to leave
an 18% tip. How much money should you leave?
Answer:
1)250 2) 144 3)
Step-by-step explanation:
1) 12/100 = 30/x 2) 1200*0.88
12x=3000 1200-1056
x=250 144
3)800*0.15 4) 45.12*0.18
800-120 45.12+8.12
680 about 53.24