Answer:
Step-by-step explanation:
N=503
P=0.7
Sqrt(503×0.7(1-0.7))=10.28
The standard deviation, for the binomial distribution, is 10.28 which has the stated values of n and p; n =503: p=0.7.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much the data is spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
We have:
The value of n = 503
The value of p = 0.7
For the binomial distribution:
As we know,
The formula for the standard deviation:
σ = √[p(1 - p)n]
Plug the values of p, and n, we get:
σ = √[0.7(1 - 0.7)503]
σ = √[0.7(0.3)503]
σ = √[0.21x503]
σ = √[105.63]
σ = 10.277 ≈ 10.28
Thus, the standard deviation, for the binomial distribution is 10.28 which has the stated values of n and p; n =503: p=0.7.
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In school ,there are 3 girls for every 2 boys . There are 650 students in total . How many students are girls
Answer:
390 girls.
Step-by-step explanation:
[tex]\frac{3}{5}[/tex] of 650 is 390.
A ratio shows us the number of times a number contains another number. The number of girls in the school will be equal to 260.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that in the school, there are 3 girls for every 2 boys. Therefore, the ratio of girls to boys in the school can be written as,
Ratio = Girls / Boys = 3 / 2
Now, as per the ratio of the girls to boys, we can assume that the number of girls and boys in the school are 3x and 2x, respectively.
Further, given that the total number of students in the school is 650. Therefore, the total number of students can be written as,
Number of boys + Number of girls = 650
3x + 2x = 650
5x = 650
x = 130
Thus, the number of girls in the school can be written as,
Number of girls = 3x
= 3 (130)
= 260
Hence, the number of girls in the school will be equal to 260.
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5. Solve the system of equations.
x + y = 6
2x - y = 9
How many multiples of 10 are there from 100 to 200?
Answer:
100,110,120,130,140,150,160,170,180,190,200
Step-by-step explanation:
count in 10s
What are the x-intercepts of the graphed function?
Answer:
(1,0) and (-3,0)
Step-by-step explanation:
It is because at those points on the graph is where the graphed function crossed the x-axis.
Plzzzz answer witch row is it
Answer:
The first row I believe, correct me if I'm wrong.
can someone please rewrite this so I won't get marked for plagiarism?
The question is
"Why would it be beneficial to pay a little more than the required mortgage payment?"
The answer is:
Paying extra on your mortgage means that you make additional payments to your principal loan balance beyond your regular payments. For example, if you pay $1,300 per month normally, you may pay an extra $200 to the principal for a total payment of $1,500. Or if you get a bit of money, say a $5,000 tax refund, you could apply it to your principal loan balance. The faster you pay off your mortgage, the less you will pay in interest, reducing your overall loan cost. However, this option should be considered in the context of your larger financial situation.How much will you save by making extra payments?The amount you can save by making extra mortgage payments is one of the first things you need to figure out as that number will enable you to compare it to other options. Let’s take a look at how much you could save on interest over the life of a 30-year, $200,000 loan with a 3.5% interest rate if you paid $50, $100 and $250 extra each month. Just paying an extra $50 per month will shave 2 years and 7 months off the loan and will save you over $12,000 in the long run. If you can up your payments by $250, the savings increase to over $40,000 while the loan term gets cut down by almost a third.The savings can be substantial. Use a mortgage calculator to figure out your estimated savings. Then, compare that to the savings or returns you can get by investing the same money elsewhere.Ways to prepay your mortgagePay more every monthThe first option is to analyze your budget and see if you can afford to increase the amount you pay on your mortgage each month. Even if you can only commit to $25 or $50, it can save you thousands over the course of the loan.Make an extra payment each year Another option is to make one extra payment each year that is equal to your normal payment amount. This can be a good option if you get a bonus or tax refund each year.Make a lump-sum paymentSometimes situations come about which leave people with a lump sum of money, like receiving an inheritance. While exciting, it can also be stressful because you want to use the money wisely. Using lump sums to pay down your mortgage helps to reduce your interest and increase equity faster, which is a helpful investment. It can also ensure that the money is invested rather than spent.Mix it up You can also use a combination of these approaches, such as paying a little bit more each month and then making a larger one-time payment when you can.
The right payment strategy for you will depend on your financial situation. For example, if your budget is tight and you can’t commit to paying more every month but have certain months when your income is higher, you can commit to making an extra payment during those months. Alternatively, if you don’t receive any income boosts throughout the year but have a little bit of disposable income each month, the monthly payment option will be a better fit.When not to pay extraPaying extra on your mortgage can be helpful but it isn’t always the best use of your money.“Whether you should pay extra on your mortgage or not depends on the rest of your financial picture. If you have credit card debt, an expensive car loan, or other high-interest debt, you’ll want to pay that down before making extra payments on your mortgage,” Matthew McEwan, VP of real estate development and property management firm Medallion Capital Group, said.“Additionally, if you are a savvy investor who can tolerate some risk, you may be able to achieve a higher rate of return by investing that money instead,” McEwan said.What to do before paying off your loan earlyBefore you pay off your mortgage early, there are a few things you should do. For one thing, you’ll want to meet all of your regular necessary expenses (rent, food, clothing, etc.). Next, ensure you pay off any debts you have with interest rates that are higher than the interest rate on your mortgage. For example, if you have a $5,000 balance on a credit card with an 18% APR and your mortgage has a 4% APR, you’ll save more by paying down the credit card first.It’s also recommended to make sure that you have an emergency savings account that is equal to at least three months of pay, and preferably six. Moreover, confirm that you and your dependents are enrolled in the insurance policies you need to protect yourselves in the future. This often includes health, property, auto, disability and life policies.
If you have an employer offer to match your retirement savings up to a certain percentage, max out the company contributions. The earlier you invest in retirement, the better.
Answer:
Paying extra on your mortgage means that you make additional payments to your principal loan balance beyond your regular payments. For example, if you pay $1,300 per month normally, you may pay an extra $200 to the principal for a total payment of $1,500. Or if you get a bit of money, say a $5,000 tax refund, you could apply it to your principal loan balance. The faster you pay off your mortgage, the less you will pay in interest, reducing your overall loan cost. However, this option should be considered in the context of your larger financial situation.How much will you save by making extra payments?The amount you can save by making extra mortgage payments is one of the first things you need to figure out as that number will enable you to compare it to other options. Let’s take a look at how much you could save on interest over the life of a 30-year, $200,000 loan with a 3.5% interest rate if you paid $50, $100 and $250 extra each month. Just paying an extra $50 per month will shave 2 years and 7 months off the loan and will save you over $12,000 in the long run. If you can up your payments by $250, the savings increase to over $40,000 while the loan term gets cut down by almost a third.The savings can be substantial. Use a mortgage calculator to figure out your estimated savings. Then, compare that to the savings or returns you can get by investing the same money elsewhere.Ways to prepay your mortgagePay more every monthThe first option is to analyze your budget and see if you can afford to increase the amount you pay on your mortgage each month. Even if you can only commit to $25 or $50, it can save you thousands over the course of the loan.Make an extra payment each year Another option is to make one extra payment each year that is equal to your normal payment amount. This can be a good option if you get a bonus or tax refund each year.Make a lump-sum paymentSometimes situations come about which leave people with a lump sum of money, like receiving an inheritance. While exciting, it can also be stressful because you want to use the money wisely. Using lump sums to pay down your mortgage helps to reduce your interest and increase equity faster, which is a helpful investment. It can also ensure that the money is invested rather than spent.Mix it up You can also use a combination of these approaches, such as paying a little bit more each month and then making a larger one-time payment when you can.
The right payment strategy for you will depend on your financial situation. For example, if your budget is tight and you can’t commit to paying more every month but have certain months when your income is higher, you can commit to making an extra payment during those months. Alternatively, if you don’t receive any income boosts throughout the year but have a little bit of disposable income each month, the monthly payment option will be a better fit.When not to pay extraPaying extra on your mortgage can be helpful but it isn’t always the best use of your money.“Whether you should pay extra on your mortgage or not depends on the rest of your financial picture. If you have credit card debt, an expensive car loan, or other high-interest debt, you’ll want to pay that down before making extra payments on your mortgage,” Matthew McEwan, VP of real estate development and property management firm Medallion Capital Group, said.“Additionally, if you are a savvy investor who can tolerate some risk, you may be able to achieve a higher rate of return by investing that money instead,” McEwan said.What to do before paying off your loan earlyBefore you pay off your mortgage early, there are a few things you should do. For one thing, you’ll want to meet all of your regular necessary expenses (rent, food, clothing, etc.). Next, ensure you pay off any debts you have with interest rates that are higher than the interest rate on your mortgage. For example, if you have a $5,000 balance on a credit card with an 18% APR and your mortgage has a 4% APR, you’ll save more by paying down the credit card first.It’s also recommended to make sure that you have an emergency savings account that is equal to at least three months of pay, and preferably six. Moreover, confirm that you and your dependents are enrolled in the insurance policies you need to protect yourselves in the future. This often includes health, property, auto, disability and life policies.
If you have an employer offer to match your retirement savings up to a certain percentage, max out the company contributions. The earlier you invest in retirement, the better.
find x,y,and z if AB||CD
Step-by-step explanation:
Hey there!
75° + 28° + angle KFG = 180°( being linear pair)
103° + angle KFG = 180°
angle KFG = 180° - 103°
Therefore, angle KFG= 77°
Now;
angle KFG + 28° +22° + X= 180°{ co-interior angle}
77°+28° + 22°+x= 180°
X = 180°-127°
Therefore, X = 53°
y == X+22°= 75° { being alternate angle}
angle KFG+x+z = 180° {sum of interior angle of triangle}
77°+53° + z = 180°
z = 180° - 130°
z= 50°
Therefore, X= 53°, y = 75° and z= 50°.
Hope it helps...
Write an equation for the description.
Tanmayi wants to raise $150 for a school fundraiser. She has raised $120 so far. How much more does she
need to reach her goal? Let m be how much more is needed.
Plzzzz hellpppp
Tanmayi will need $30 more to reach her goal.
$120 + n = $150
$150 - $120 = 30
n = 30
Drink Amount
Juice 250 mL
Milk
400mL
Water 1,500 mL
What is the total amount of liquid, in liters, that Whitney drinks each day?
Step-by-step explanation:
the expression is worth 5 over 124
Simplify. 27x15y24−−−−−−−√3
Answer:
I also believe the answer is 3x^5 y^8
Step-by-step explanation:
The expression ∛(27 x¹⁵ y²⁴) in the simplified form will be 3 x⁵ y⁸.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ ∛(27 x¹⁵ y²⁴)
Simplify the expression, then we have
⇒ ∛[3³ (x⁵)³ (y⁸)³]
⇒ ∛(3 x⁵ y⁸)³
⇒ 3 x⁵ y⁸
The expression ∛(27 x¹⁵ y²⁴) in the simplified form will be 3 x⁵ y⁸.
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. How can you determine if two ratios are equivalent. Be sure to include examples to support you response.
Answer:
By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent. Multiply both numbers in the first ratio by the second number of the second ratio. For example, if the ratios are 3:5 and 9:15, multiply 3 by 15 and 5 by 15 to get 45:75.
please help! The height of a plant is increasing at a rate of 3 centimeters every 2 days. At this rate, how many centimeters does the height increase in 14 days? *
Answer:
21 cm increase over 14 days
Step-by-step explanation:
14 days / 2 days = 7 days.
3 cm every 2 days * 7 days =
3 * 7 = 21 cm
If m∠SKL=31° and m∠JKS=52°, what is the measure of ∠JKL?
Answer:
the angle is 97 because in a triangle all the angles add up to 180 so if you add 52 + 31 it equals 83 then you subtract 83 from 180 and get 97
The value of JKL is 97°.
It should be noted that the total angles in a triangle are equal to 180°.
Therefore, SKL + JKS + JKL = 180°
31° + 52° + JKL = 180°
JKL = 180° - 31° - 52°
JKL = 180° - 83°
JKL = 97°
The value of JKL is 97°.
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can someone help me with this?
Answer:
A
Step-by-step explanation:
A is correct! How have a great day!
Urgent help plzzzzzzz
Answer:
What is the question?
Step-by-step explanation:
help help help help help history!!!!!!
Answer:
The answer will be B :0
Step-by-step explanation:
Complete the sequence.
37.25, 35.5, 33.75, __, __.
Answer:
37.25, 35.5, 33.75, 32, 30.25.
Step-by-step explanation:
Subtract the first term from the second term:
35.5 - 37.25 = -1.75
Subtract the second term from the third term:
35.5 - 33.75 = -1.75
The common difference is -1.75.
To find each subsequent term, add the common difference to the current term.
33.75 + (-1.75) = 32
32 + (-1.75) = 30.25
Answer:
37.25, 35.5, 33.75, 32, 30.25.
what is the fifteenth term in the sequence 12, 24, 36, 48, 60,...? A72 B76 C96 D180
Answer:
D)180
you go 12+ so the nth term is 12n, then substitute the n with the term you're looking for, in this case it is 15: 12(15) = 180
Answer:
180
Explanation:
Can someone plz help me
Answer:
Your table might look something like this:
The dads steps:
3
6
9
12
15
18
Sons steps:
5
10
15
20
25
30
You can notice the pattern. If dad walks 3 steps, son walks 5. If dad walks another 3, son walks another 5. And so on. This means dad walks 12 steps when the sin walks 20 steps.
Step-by-step explanation:
The ratio is 3:5. This means dad wlaks 3 steps so son must walk 5 steps basically. So.......... You can now create the table. Y I just have to multiply or divide each side ( of the colon:) so. Whatever you do to one side, you do to the other side. If you x3 on one side, you do it to other. Same goes for division. In the 'table' I did above, I x2 to get 6 and 10. Then I took the 3 and the 5 again and timsed those by 3. You can also change the 6 and the 10. So:
3:5
Then x2
6:10
Then I take the top layer (you can either choose to change the top layer, or layer above as long as you do the same thing to each side. Remember, only x and ÷. No + or-.) and I x3
9:15
Then I could take 9 and 15 and x5
45:75
It's crazy that all these. Ratios mena the same thing! 45 steps from dad would take the son 75 steps. You can also divide the last ratio of 45:75 to find the one you started with, 3:5.
So you get the idea.
It is probably best to do what I did in the table in the answer part because I did a pattern. Take the top layer, and x2, then x3, then x4, ect. Rather then doing random things.
Write 2 x 10^3 in standard notation.
Answer:
2000
Hope this helps :)
Step-by-step explanation:
Since the exponent of the scientific notation is positive, move the decimal point 3 places to the right.
The standard notation of the expression is 2 x 10³ is 2000.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
2 x 10³
Standard notation means writing an expression without any base and exponents.
Now,
10³ can be written as 1000.
So,
2 x 10³
= 2 x 1000
= 2000
Thus,
The standard notation is 2000.
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You purchased a stock at a price of $51.17. The stock paid a dividend of $1.75 per share and the stock price at the end of the year was $56.79. What was the total return for the year?
Answer: i think it is 109.51
Step-by-step explanation:
which equation is equivalent to ax+b=c
Answer: b = c-ax
hope this helps:)
Answer:
ax + b = c is Standard Form
Step-by-step explanation:
Marshall paid $277.13 for a new golf club, after tax, and the tax rate is 7%. What was the original price of the golf club?
Answer:
257.73
Step-by-step explanation:
93% of 277.13 is 257.73
Answer:
It’s actually $259
PLS HELP ME IM BEING TIMED AND I HAVE 20 MINS TO TURN IN.
Answer:
2.a) 3 ( x - 1 ) = 5x - 6 (Because the sides of a square are always equal)
b) 3 ( x - 1 ) = 5x - 6
=> 3x - 3 = 5x - 6
=> 3x - 5x = -6 + 3 (Law of transposition)
=> -2x = -3
=> -x = -3/2
=> -x = -1.5
=> x = 1.5 (By cancelling out the negative sign from both the sides)
c) 3(x-1) = 3 (1.5 - 1)
=> 3 (0.5)
=> 3 * 0.5 = 1.5
Both the angles are 1.5 because they are equal
If my answer helped, please mark me as the brainliest!!
Thank You!
solve D
6d-11/2=2d-13/2
Answer:
d = -1/4 or -0.25
now that i helped you can you go follow my twitch KayduxTV
Step-by-step explanation:
Answer:
d= -1/4
Step-by-step explanation:
First: subtract 2d from each side so you end up with 4d-11/2=-13/2
Second: next add 11/2 to both sides so you end up with 4d=-1
last: divide each by 4 to get d by itself
your final amswer is d=-1/4
F(x)=3x-1 g(x) x^3 -5x^2
Find (f o g)(x)
============================================
Work Shown:
f(x) = 3x-1
f(x) = 3( x ) - 1
f( g(x) ) = 3( g(x) ) - 1 ... replace every x with g(x)
f( g(x) ) = 3(x^3-5x^2) - 1 ... plug in g(x) = x^3-5x^2
f( g(x) ) = 3x^3-15x^2-1
(f o g)(x) = 3x^3-15x^2-1
The surface area for a right rectangular prism is given by the following expression:
2(3x)(4x + 2) + 2(2x)(4x + 2) + 2(3x)(2x)
Which might be the dimensions of the prism, considering the formula for the surface
area for a right rectangular prism, A = 2wl +211 + 2hw? Select a length, width, and
height from the following list of answer choices.
Select exactly three choices.
А
4x + 2
B 2
С
2x
D
3x
Answer:
A B and D
Step-by-step explanation:
Jose bought seven shirts for an average of $12 each and five pair of jeans for an average of $32 each. How much did he spend in total for his clothes?
Answer:244
Step-by-step explanation:
Well first I took 7 and 12 multiplied them to get 84 and the added 32 by 5 by multiplying them, To 84 and these are averages so they aren’t exacts and it gave me 244
Answer:
244
Step-by-step explanation:
12+12+12+12+12+12+12=
24+24+24+12=
48+36= 84
32+32+32+32+32=
64+64+32=
128+32= 160
160+84=244
or
12*7= 84
32*5= 160
160+84=244
4) A B с D 2 2 If these numbers are ordered from least to greatest, at which letter will be located? A) A B) B. © C D) D
Answer: C
Step-by-step explanation: (1/5 in decimal form is 0.2) (25% in decimal form is 0.25) (then u got 1.3 and) (2/7 in decimal form is (0.28 so A= least D= greatest) A: least, B: middle C: to, D: greatest
so A: 1/5, B: 25% C: 2/7 D: 1.3
so your answer to this question is D
in order to find the biggest decimal you'll have to see which number is bigger in front of the decimal and if there is no number infront look right behind it, D is the greatest because 1.3 is another way of saying 1 whole and 1/3 but besides the point your answer is C
Your hourly wage is $9.30 per hour plus $0.90 for each unit produce. How many units must you produce in one hour so that your hourly wage is $18.30?
Answer:
10 units produce
Step-by-step explanation:
9.3+.9x=18.3
.9x=9
Divide
x=10
Answer:
10 units
Step-by-step explanation:
10*0.90=9 units
9+9.30=18.30