Answer:
Standard deviation=4
Step-by-step explanation:
Standard deviation = square root of variance
Standard deviation=√variance
Variance=standard deviation square
Variance=standard deviation^2
From the question
Variance=16
Standard deviation=?
Standard deviation=√variance
=√16
=4
Standard deviation=4
check:
If standard deviation=4
Variance=standard deviation^2
=4^2
=16
Therefore,
Standard deviation=√variance
[tex]4[/tex]
VarianceThe variance is a measure of how much each point deviates from the mean on average.The standard deviation of a set of numbers is the distance between them and the mean. (The mean is the arithmetic average of a given group of integers.)To compute the standard deviation, take the square root of the variance.Variance of the variable [tex]=16[/tex]
Standard deviation [tex]=\sqrt{16}[/tex]
[tex]=\boldsymbol{4}[/tex]
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Calculate the future value of $51,123.21
Answer:
Option a) $ 82,531.59
Step-by-step explanation:
The Formula for Future value =
Present value (1 + r/n)^nt
From the question
Present value = $51,123.21
Interest rate (r) = 2 3/8 % = 2.375% = 0.02375
n = compounding frequency = compounded daily = using the traditional bankers rule of 30 days = 30 × 12 months = 360
T = Time duration in years = 20 years and 2 months = 20.1667
Future value = $ 51,123.21(1 + 0.02375/260)^20.1667 × 360
Future value = $ 82,531.59
Whats up with brainly and the answers loading is it only me? someone comment ways to fix or im screwed
Answer: it's not working on my laptop but it seems to be working on the phone right now
Answer:
can somebody help asap !!!
Step-by-step explanation:
Camillo used the calculations shown to determine how much he would spend on 2,400 oz of jelly. 48 ounces of jelly costs 3 collars and 84 cents. (StartFraction 48 ounces Over 3 dollars and 84 cents EndFraction) (StartFraction question mark ounces Over 1 dollar EndFraction). Unit price = 13 dollars and 79 cents. 13 dollars and 79 cents (2,400) = 33 thousand and 96 dollars. What is his error? He placed the decimal point incorrectly when dividing. He placed the decimal point incorrectly when multiplying. He wrote the rate incorrectly. He did not make an error.
Answer:
He wrote the rate incorrectly
Step-by-step explanation:
Camille's calculation
(48/$3.84)(?/s1)
48x/3.84
=$13.79
The correct calculation
(48/$3.84)(?/s1)
48x/3.84
=$12.50
To find the error in Camille's calculation
(48/$3.84)(?/s1)
48x/3.84
=$13.79
We will divide 48 ounces of jelly by $13.79 to get the rate
48/13.79
=$3.48
Therefore, Camille wrote the rate incorrectly by interchanging .84 after the decimal for .48
Elena has 32 hair ties. Melanie has 8 hair ties. The ratio of Elena’s hair ties to Melanie’s hair ties is : 1. If, Melanie gets 4 more hair ties, the new ratio of Elena’s hair ties to Melanie’s hair ties is 8 : . Helppppppp me
Answer:
4:1 & 8:2
Step-by-step explanation:
The ratio is 32/8
When simplified it will be 4/1
Since the next ratio is 8/x, make the equation 4x = 8
Because x = 2 the ratio will be 8/2
What is the measure of XZ (the minor arc)?
A. 116
B. 290
C. 244
D. 58
Answer:
D
Step-by-step explanation:
The required measure of XZ (the minor arc) is 116. Option A is correct.
In the figure, a circle gave with 3 arc divisions XY, YZ, and XZ. And angle 58 at point y.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by. (x-h)²+(y-k)²=2 where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
Since by the property of the circle the angle subtended by arc to the vertex corresponding to the center is half the measure of the angle subtended by the arc to the center.
so, let the center of the circle is o.
Now,
measure of XZ = 2 * 58
= 116
Thus, the required measure of XZ (the minor arc) is 116.
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A certain forest covers an area of 1900km^2. Suppose that each year this area decreases by 7.75%. What will the area be after 14 years?
Answer:
Assume that 1900km^2 is 1900.
If that happens, The equation of that will look like...
1900 - (1900 x 7.75% x 14)%.
1900 x 7.75% are 147.25.
and 147.25 x 14 are 2061.5.
so... there will be no forest after 14 years.(harsh)
Hope it helps!
The area of the forest after 14 years would be 614.1617 km².
We have,
Let's denote the initial area of the forest as A₀ = 1900 km².
The decrease in the area each year is 7.75%, which means that the remaining area after each year is 92.25% of the previous year's area.
i.e
[tex]A_i= A_0[/tex] (1 - 0.0775)
where Aᵢ is the area after i years.
To find the area after 14 years.
A₁₄ = 1900 x [tex](1 - 0.0775)^{14}[/tex]
= 1900 x 0.3232430884671
= 614.1617 km²
Therefore,
The area of the forest after 14 years would be 614.1617 km².
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Which statement is true about the polynomial 5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified? It has 3 terms and a degree of 9. It has 3 terms and a degree of 10. It has 4 terms and a degree of 9. It has 4 terms and a degree of 10.
Answer: The polynomial has 3 terms and a degree of 10.
Step-by-step explanation:
The given polynomial: [tex]5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7[/tex]
Here, two terms [tex]5s^6t^2[/tex] and [tex]8s^6t^2[/tex] have same power for s and t i.e. they are like terms.
Combine like terms , we get
[tex]6st^9 - 3s^6t^2 - 6t^7.[/tex] i.e. there are 3 terms.
Degree of [tex]6st^9[/tex] is 1+9=10;
Degree of [tex]- 3s^6t^2[/tex] is 6+2=8;
Degree of [tex]- 6t^7[/tex] is 7.
Since degree of the polynomial = highest degree i.e. 10
Hence, the polynomial has 3 terms and a degree of 10.
The statement which is true about the polynomial 5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷ is; It has 4 terms and a degree of 10.
Discussion:
By counting the number of terms in the polynomial;
We can conclude that the polynomial has 4 terms and hence can be called a tetranomial.Additionally, the degree of the polynomial is 10.
This is from the term with the highest degree which is; 6st⁹; where s has degree 1 and t has degree 9; total of which is; 10.
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PLEASE THIS IS REALLY IMPORTANT HELP!!!
Answer:
11) HEJ , 25°
12) JEK , 50°
13) JEF
14) DEF
Step-by-step explanation:
11)
Well angle HEJ by using the protractor has a angle measure of 25°.
12)
Angle JEK has a angle measure of 50°
13)
Angle JEF is a right angle because it has a measure of 90°
14)
Angle DEF is a straight angle because it has a angle measure of 180°
Hope this helps :)
PLEASE HELP!!!! Emily is making 2 gallons of punch with 4 parts grape juice to 3 parts pineapple juice to 1 part sparkling cider. How many cups of pineapple juice will Emily need?? Hint (1 gallon = 16 cups)
1 gallon = 16 cups. She is making 2 gallons so needs 32 total cups.
The ratio is 4:3:1
Add the ratios: 4+ 3 + 1 = 8
Divide total cups by total ratio:
32/8 =4
Now multiply that by each portion of the ratio:
Grape juice = 4 x 4 = 16 cups
Pineapple juice = 3x4 = 12 cups
Cider = 1x 4 = 4 cups
She needs 12 cups of pineapple juice.
Sean is raising funds for an event at his school. He has collected $25 each from x people, and he is still $100 short of his goal. The expression that gives his goal is
Answer:
25x + 100 = His goal
Step-by-step explanation:
He gets 25 from each person so the amount of people would be x and then you add 100 dollars for how much he still needs.
Y=25x +100, i think thats right not 100% sure though.
Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.
Use the polygon tool to graph the dilated figure.
Answer:
(2,4), (6,4), (2,-2), (6,-2)
Step-by-step explanation:
To dilate a figure multiply 2(x,y)
2(1,2) = (2,4)
2(3,2) = (6,4)
2(1,-1) = (2,-2)
2(3,-1) = (6,-2)
Hope this helps! Ξ
Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0?
Answer:
It's not a real solution
Step-by-step explanation:
out of 40 coins, 16 are dimes. half of the remaining coins are quarters and the rest are pennies and nickles. these are 2 nickles for every penny. how many pennies are there?
===========================================
Work Shown:
40 coins total
16 are dimes
40-16 = 24 coins are not dimes
Half of this is 24*(1/2) = 12 which are quarters. The other half (12) are pennies and nickels
n = number of nickels
p = number of pennies
This means n+p = 12 so that we have 12 pennies and nickels combined.
"There are 2 nickels for every penny", so we can write n = 2p. If p = 1, then n = 2. If p = 2, then n = 4, etc. Whatever p is, we double it to get n.
So,
n+p = 12
2p+p = 12
3p = 12
p = 12/3
p = 4, we have 4 pennies
n = 2p
n = 2*4
n = 8 and 8 nickels
-----------------------------------------
Here are all the coin counts
16 dimes12 quarters8 nickels4 pennies16+12+8+4 = 40 coins total
Answer:
Option (B) is correct, 4 pennies.
help me plz i need help i need help
Answer:
the third one
Can someone please help me?
Answer:
1. 25,000+1000x
2. 19,000+1500x
3. 25000+1000x>19000+1500x
Step-by-step explanation:
For the 1st it is 25,000 because that is what he starts off with and there is an x behind 1000 because it depends on how many years he receives the bonus. For example, if he was there for 3 years the equation would look like 25000+1000(3).
For the 2nd one, it is the same concept as the first one.
For the third one, it says that Nicholas will make more money so the greater symbol has to be facing the equation that stands for his amount of money.
Hope this helps!
We can calculate the depth ddd of snow, in centimeters, that accumulates in Harper's yard during the first hhh hours of a snowstorm using the equation d=5hd=5hd, equals, 5, h. How many hours does it take for 111 centimeter of snow to accumulate in Harper's yard? hours How many centimeters of snow accumulate per hour? centimeters
Answer:
a) Number of hours it takes 1 centimetre of snow to form in Harper's yard = (1/5) hour = 0.20 hour
b) Centimetres of snow that accumulate per hour = 5 cm
Step-by-step explanation:
Complete Question
We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d=5h.
a) How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard? hours
b) How many centimeters of snow accumulate per hour? centimeters
Solution
The depth of snow, d, in centimetres that accumulates in Harper's yard in h hours is given d = 5h
a) Number of hours it takes 1 centimetre of snow to form in Harper's yard.
d = 5h
d = 1 cm
h = ?
1 = 5h
h = (1/5) = 0.20 hour
b) Centimetres of snow that accumulate per hour.
d = 5h
In 1 hour, h = 1 hour
d = ?
d = 5 × 1 = 5 cm
Hope this Helps!!!
Answer:
1/5 hours
5 centimeters
Step-by-step explanation:
John is throwing a dart at a dar board. It has 5 rings surrounding the bull’s-eye. The bull’s-eye is 6 cm. The first rim surrounding the bull’s-eye is 2 cm more than the bull’s-eye region and every other ring is 3 cm more than the preceding ring. What is the probability of John hitting a bull’s-eye if he cannot miss the dart board and is randomly aiming at?
A. 3/10
B. 6/13
C. 9/100
D. 36/169
Answer:
3/10
Step-by-step explanation:
Gary ordered 30 pizzas for a party. 60% of the pizzas have 12 slices each. The remaining 40% of the pizzas have 10 slices each. Complete the model. Then complete the statements to find the total number of slices of pizza
Statement #1:
Since there are 30 total pizzas then the amount of pizzas with 12 slices is 60% of 30 which is 18. Then you can multiply 18 by 12 to get the amount of slices in the large pizzas with 12 slices:
18 × 12 = 216
-----------------------------------------------------------------------------------------------------------------
60% of the pizzas have 12 slices each. In total, there are 216 slices in these pizzas.
Statement #2
There are 12 remaining pizzas which means that 12 × 10 = 120 is the amount of slices in total of the smaller pizzas.
-----------------------------------------------------------------------------------------------------------------
40% of the pizzas have 10 slices each. In total, there are 120 slices in these pizzas.
Statement #3
To get the total amount of pizzas you simply add both of the previous solutions:
216 + 120 = 336
-----------------------------------------------------------------------------------------------
Altogether, there is a total of 336 slices of pizza.
36. The top of a gazebo in a park is in the shape of a
regular pentagonal pyramid. Each side of the
pentagon is 10 feet long. If the slant height of
the roof is about 6.9 feet, what is the lateral
roof area?
A 34.5 ft2
B 50 ft2
C 172.5 ft2
D 250 ft2
Answer:
C. 172.5 ft²
Step-by-step explanation:
area of triangular roof piece is 1/2(10)(6.9) = 34.5
there are 5 of them so 34.5 x 5 = 172.5 ft²
Raise the absolute value of the difference between 136 and 365 to the 6th power. Which of the following expressions matches the sentence above? A. |136 + 365|6 B. (136 + 365)6 C. |136 - 365|6 D. (136 - 365)6
Answer:c
Step-by-step explanation:
becuase it minus so we can get rid of a and b, and since d is not the equation to find absolute value, it is not correct
Write 5 3/7 as an improper fraction.
Answer:
The answer is option A
Step-by-step explanation:
[tex]5 \frac{3}{7} [/tex]
Can be written as
[tex] \frac{38}{7} [/tex]
Hope this helps you
Answer:
38/7
Step-by-step explanation:
question: 5*3/7
we should first cross multiply 5 with 7 and add the 3 to the product.
the formula for solving any question like this is :-
( whole no. multiplied with denominator ) + numerator
denominator
here: (5*7)+3
7
The reflection of a function ƒ(x) across the y-axis is represented as
Answer:
f(-x)
Step-by-step explanation:
Johns made two 120 mile trips. He made his second trip in one hour less time than his first trip. The total time for the two trips was 9 hours. What was his average rate, in miles per hour, for the second trip?
Answer:
120 miles:4 hours
Step-by-step explanation:
Johns made
two 120 mile tripsthere are a total of 2 120 mile trips
his second trip in one hour less time than his first trip. The total time for the two trips was 9 hours9 hours = 4 hours + 5 hours (5 hours - 4 hours = 1)
What was his average rate, in miles per hour, for the second trip?120 miles:4 hours simplify to 30 miles:1 hour
Answer: this answer is 30 miles per 1hr so it took 4hr for the second trip
HAVE A GOOD DAY
Write an equation of the line that satisfies the given conditions. Give the equation (a) in slope-intercept form and (b) in standard form.
Through (-2,4): perpendicular to x=8
(a) The equation of the line in slope-intercept form is_____.
Answer:
y = 4
Step-by-step explanation:
The line x=8 is a vertical line. The perpendicular line will be horizontal, with a slope of 0. In order for it to go through the given point, the y-intercept must match the y-value of the point. The equation is ...
y = 0x +4 . . . . . slope-intercept form with slope explicitly shown as 0
This simplifies to ...
y = 4
Does coordinate c or coordinate d represent a greater number?
Answer:
Coordinate d
Step-by-step explanation:
Answer: d is larger
c = -2 and d = -1
====================================================
Explanation:
We have c = -2 as this is the same as the x coordinate of (-2,-1), which is the point directly below (c,5).
The point (3,d) is on the same horizontal level as (-2,-1), so the y coordinates must match up. We therefore have d = -1.
Comparing c = -2 and d = -1, we see that d = -1 is larger as it is to the right of -2.
PLZ ANSWER, I NEED TO KNOW!!!!!
Answer:12 3/20
Step-by-step explanation:
John buys a pizza that has an 8-inch diameter and is cut into 12 congruent slices. What is the length of the outer
edge of any one slice of pizza, in inches?
Answer:
D. 2/3π inch
Step-by-step explanation:
360°/12=30° each slice of pizza is 30°.since they are all congruent:
c= 2πr*30°/360°
c=2(4)π* 1/12
c=8π/12
c=2/3π inch
The length of the outer edge of any one slice of the pizza is 2.09 inches
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.
What is Diameter?A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
What is Sector of a circle ?A circular sector, also known as circle sector or disk sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.
Given,
Diameter of the pizza = 8 inches
Number of slices =12
We know that,
A circle has a total of 360 degrees all the way around the center
Then angle of each size of pizza = [tex]\frac{360}{12}=30[/tex] degrees
Length of the outer edge of any one slice of pizza = Length of the arc of the sector
Arc length = [tex]2\pi r(\frac{angle}{360})[/tex]=[tex]2\pi (4)(\frac{30}{360})[/tex]
Arc length = 2.09 inches
Hence, the length of the outer edge of any one slice of the pizza is 2.09 inches
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What is the result of adding these two equations?
Answer:
-5x - 8y = -5.
Step-by-step explanation:
4x + (-9x) -4y + (-4y) = -2 + (-3)
-5x - 8y = -5.
Answer:
-5x -8y = -5
Step-by-step explanation:
The question asks us to add the equations
4x - 4y = -2
+ -9x -4y = -3
------------------------
-5x -8y = -5
What is the measure of the angle between the minute and the hour hands, when they show 4:20 PM? Note that the answer is not 10!
Answer:
I would try 10 again but this time put the degree sign in. Sometimes the computer registers in incorrect if it doesn't have a degree sign
Step-by-step explanation:
Also, this is a random note but in geometry, minutes and seconds are classified as smaller units in angles than degrees. 60 minutes is a degree and 60 seconds is a minute so that means 3600 seconds is a degree.
which statements are true for the function g(x)=x^2 and h(x)=-x^2? check all tht apply
Answer:
where are the statements...
mention the statements first