Answer:
1212
Step-by-step explanation:
Find the average of all scores
there are:
ten scores of 9
eight scores of 8
ten scores of 7
three scores of 6
Round to one decimal place
Answer:
9880
Step-by-step explanation:
because u have to use the last number and round it up to the closes while number then add ur Decimal
0.000487 in scientific notation
Answer:
4,87×10⁴ thats the answer:)
Answer:
[tex]10^{4} x 4.87[/tex]
Step-by-step explanation:
182 is what percent of 400
Answer:
45.5 %
hope this helped ! (:
Answer:
45.5%
Step-by-step explanation:
182÷400=0.455=45.5%
A study is conducted to assess the smoking behaviors of high-school seniors. A random sample of 8 seniors is selected and each student is asked the number of cigarettes consumed on a typical day. The (sorted) sample is: 0 0 3 4 5 8 10 18. If 18 is replaced with 20, then:
Complete question :
A study is conducted to assess the smoking behaviors of high-school seniors. A random sample of 8 seniors is selected and each student is asked the number of cigarettes consumed on a typical day. The (sorted) sample is: 0 0 3 4 5 8 10 18. If 18 is replaced with 20, then select all that apply:
Sample IQR will change
Range, IQR, and standard deviation will remain the same
Sample range will change.
Sample standard deviation will change
Answer:
Sample range will change
Sample Standard deviation will change
Step-by-step explanation:
Given the sorted sample : 0,0,3, 4,5,8,10, 18
n = number of observations
Sample range : ( 18 - 0) = 10
Upper quartile (Q3) = 3/4(n+ 1) = 3/4(9) th term
Q3 = 27/4 = 6.75th term
(8 + 10) / 2 = 18/ 2 = 9
Lower quartile (Q1) = 1/4(n + 1) = 9/4 th term
2.25th term = 0+3 = 3/2 = 1.5
Interquartile range = 9 - 1.5 = 7.5
Standard deviation = 5.976 (using calculator)
If 18 is replaced by 20:
0,0,3, 4,5,8,10, 20
Range = (20 - 0). = 20
Upper quartile (Q3) = 3/4(n+ 1) = 3/4(9) th term
Q3 = 27/4 = 6.75th term
(8 + 10) / 2 = 18/ 2 = 9
Lower quartile (Q1) = 1/4(n + 1) = 9/4 th term
2.25th term = 0+3 = 3/2 = 1.5
Interquartile range = 9 - 1.5 = 7.5
Standard deviation = 6.563 (using calculator)
On a coordinate plane, point M is located at (-5,1) and point N is located at (-5,8)
Answer:
7 units
Step-by-step explanation:
d=√(x2-x1)² + (y2-y1)²
x1=-5
x2=-5
y1=1
y2=8
d=√(-5--5)² + (8-1)²
d=√0² + 7²
d=√49
d= 7 units
The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 275 - 16t^2.
(a) Find the average velocity of the pebble for the time period beginning when t − 4 and lasting (i) 0.1 seconds (ii) 0.05 seconds (iii) 0.01 seconds (b) Estimate the instantaneous velocity of the pebble after 4 seconds.
Answer:
Our equation for the height is:
y(t) = 275 - 16*t^2.
a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:
[tex]AV = \frac{y(t2) - y(t1)}{t2 - t1}[/tex]
Then:
i) t1 = 4s, t2 = 4s + 0.1s = 4.1s
The average velocity is:
[tex]AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6[/tex]
And the units will be ft/s, so the average speed is:
-129.6 ft/s
The minus sign is because te pebble is falling down.
ii) t1 = 4s, t2 = 4s + 0.05s = 4.05s
The average velocity is:
[tex]AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8[/tex]
So the average speed is -128.9 ft/s
iii) t1 = 4s, t2 = 4s + 0.01s = 4.01s
The average speed is:
[tex]AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16[/tex]
The average speed is -128.16 ft/s.
b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.
v(t) = dy(t)/dt.
v(t) = -2*16*t + 0
Then the velocity at t = 4s is:
v(4s) = -32*4 = -128
The instantaneous velocity at t = 4s is -128 ft/s.
a). The average velocity of the pebble for the time period would be:
i). [tex]-129.6[/tex]
ii). [tex]-128.8[/tex]
iii). [tex]-128.16[/tex]
b). The instantaneous velocity of the pebble post 4 seconds would be:
[tex]-128[/tex]
a). We need to find the average velocity,
i). [tex]t1 = 4s, t2 = 4s + 0.1s = 4.1s[/tex]
Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]
by putting the values,
[tex]= y(4.1) - y(4) / 4.1 - 4[/tex]
[tex]= 275 - 16(4.1)^2 - 275 - 16(4)^2 / 0.1[/tex]
[tex]= 275 - 16*16.81 - 275 - 16(16) / 0.1[/tex]
[tex]= 6.04 - 19 / 0.1[/tex]
[tex]= -12.96 /0.1[/tex]
[tex]= -129.6[/tex]
ii). Now,
[tex]t_{2} = (4 + 0.05 = 4.05s)[/tex]
Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]
[tex]= y(4.05) - y(4) / 4.05 - 4[/tex]
[tex]= -6.4 / 0.05[/tex]
[tex]= -128.8[/tex]
iii). Now,
[tex]t_{2} = 4.01s[/tex]
Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]
[tex]= y(4.01) - y(4) / 4.01 - 4[/tex]
[tex]= -1.28 / 0.01[/tex]
[tex]= -128.16[/tex]
b). Instantaneous velocity
[tex]y = 275 - 16t^2[/tex]
[tex]dy/dx = -32t[/tex]
Considering [tex]t = 4[/tex]
∵ Instantaneous velocity post 4 seconds [tex]= -32(4)[/tex]
[tex]= -128[/tex]
Learn more about "Velocity" here:
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Jessica has a $100 gift card from
Starbucks. She spends $5 each day
until the balance is zero.
Answer:
I'm not sure what answer you want from this but it would take her 20 days to use the entire gift card
Answer:
so she spend $5 for 20 days
Step-by-step explanation:
hope it is helpfull.
please mark me as a brainlist...
Which expression represents the prime factorization of 484?
Answer: 2*2*11*11
Step-by-step explanation:
484 = 2 times 242 = 2 times 2 times 121 = 2 times 2 times 11 times 11.
"*" = mean multiply/times.
2*2*11*11
2*2*11*11
HOPE THIS HELPED!
What is the solution to 4 X-3+ 1 = 1?
Answer:
x=3/4
Step-by-step explanation:
1. subtract 1 on each side
2. add 3 on each side
3. divde by 4 on each side
The solution to the given equation is 3/4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 4x-3+1=1.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, 4x-3+1=1
4x-3=0
4x=3
x=3/4
Therefore, the solution is 3/4.
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y = 5.3x, when x = 10
the answer is 53 because when you multiply a decimal by 10 all you need to do is move the decimal to the right
Please help if you can
Answer:
its perimeter would be 40 centimeters
Simplify the expression: 4(–6p − 2)
Answer:
-24p -8
Step-by-step explanation:
4(–6p − 2)
Distribute
4 * -6p -4*2
-24p -8
-1+(-8) is how many units away from 4 on the number line
Answer:
13 units
Step-by-step explanation:
-1 + (-8) = -9
|-9| = 9 + 4 = 13
(-9) is 13 units from 4
Hopefully this helps you :)
pls mark brainlest ;)
The midpoint of AB is M=(3, 1). One endpoint is A=(-1, -1).
Find the coordinates of the other endpoint, B.
Answer:
(7, 3)
Step-by-step explanation:
Given segment AB, where:
A = (-1, -1)Mid point
M = (3, 1)Point B = (x, y)As per mid point formula:
(-1+x)/2 = 3 ⇒ -1 + x = 6 ⇒ x = 6+ 1 = 7(-1 + y)/2 = 1 ⇒ -1 + y = 2 ⇒ y = 2 + 1 = 3So, the point B is:
B = (7, 3)Given f(x)=20x+12, find f(5)
Answer:
212
Step-by-step explanation:
20(5)+12
200+12
212
A square has a side length of 9 cm2 what is the area
Answer:
81
Step-by-step explanation:
The definition of a square is a four sided figure that has 2 sets of parallels lines, 4 congruent sides, and 4 right angles. From that you can tell that one side of the square gives the measurement of all sides of the square.
Is 2 linear or exponential?
Is this answer correct?
Answer:
YES
Step-by-step explanation:
PLEASE MARK AS BRAINLIST ANSWER
Use the sample data and confidence level given below to complete parts (a) through (d).
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=963 and x=573 who said "yes." Use a 95% confidence level.
a) Find the best point estimate of the population proportion p.
(Round to three decimal places as needed.)
b) Identify the value of the margin of error E =
(Round to three decimal places as needed.)
c) Construct the confidence interval.
(Round to three decimal places as needed.)
d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.
Answer:
A
Step-by-step explanation:
yes because 3+2 +5 = 923x which is the inversde ratio of a triangle. This leads us to 1 half of 3.14, once we have 3.14, divide it by 70594. Now, you get 59.4.
Hope this helped!
If f(x) = 2x – 5 and g(x) = x +4, then f(g(2)) =
Answer:
7
Step-by-step explanation:
f(g(2))
f(x+4) and you would replace x with two, so you would get
f(2+4) = f(6)
You would then plug in 6 for the x in the f(x) equation:
2(6) - 5 = 12-5 = 7
(X-4)+(2x-7) Find the sum
Answer:
3x - 11
Step-by-step explanation:
(x-4)+(2x-7)
We can remove the parenthesis because we are adding and not multiplying.
x - 4 + 2x - 7 Combine like terms
x + 2x - 4 - 7
3x - 4 + - 7
3x - 11
The sum of the given expression is (3x-11)
What is expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given is an expression, (x-4)+(2x-7)
The sum is,
(x-4)+(2x-7)
x-4 + 2x-7
x+2x - 4-7
3x-4-7
(3x-11)
Hence, the sum of the given expression is (3x-11)
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ej bisects def, m dej-5x+7, m JEF=8x-8. find x
Answer:
[tex] x = 5 [/tex]
Step-by-step explanation:
Given that segment EJ bisects angle DEF, it implies that angle DEF is divided into two equal angles, namely, angle DEJ = 5x + 7, and angle JEF = 8x - 8.
To find the value of x, let's derive an equation by setting m<DEJ equal to m<JEF, since both are equal parts of angle DEF bisected by segment EJ.
Thus:
[tex] 5x + 7 = 8x - 8 [/tex]
Solve for x
[tex] 5x + 7 - 8x = 8x - 8 - 8x [/tex] (subtracting 8x from both sides)
[tex] -3x + 7 = - 8 [/tex]
[tex] -3x + 7 - 7 = - 8 - 7 [/tex] (Subtracting 7 from both sides)
[tex] -3x = -15 [/tex]
[tex] \frac{-3x}{-3} = \frac{-15}{-3} [/tex] (dividing both sides by -3)
[tex] x = 5 [/tex]
Granola
2 cups old fashioned oats 3 tablespoons honey
2/3 cup raw nuts 2 tablespoons sunflower oil
1/8 cup sunflower seeds 1/2 teaspoon vanilla
1/2 cup dried fruit chopped 1/8 teaspoon salt
Preheat oven to 300 F Combine and mis ingredients in a bowl
Spread on baking sheet Bake for lo minutes. Cool Store in closed
container in the refrigerator
Part A
What is the ratio of dried fruit to sunflower seeds in the granola recipe?
Answer:
1/8 : 1/2
Step-by-step explanation:
Is that the right answer? I’m not sure lol I don’t remember
Use traces to sketch the surface. x2 = y2 + 5z2
Answer:
when k > 0 the traces parallel to the yz plane is an ellipse
The traces parallel to the xz plane are parabolas and they open in positive x- axis direction
The traces parallel to the xy plane are parabolas that open in the positive x-axis direction
Step-by-step explanation:
Given surface : [tex]x^2 = y^2 + 5z^2[/tex]
To determine the traces of the given equation we will have to make some assumptions and the assumption is
let x = k
[tex]k^2 = y^2 + 5z^2[/tex]
when k > 0 the traces parallel to the yz plane is an ellipse
let y = k
[tex]x^2 = k^2 + 5z^2[/tex]
The traces parallel to the xz plane are parabolas and they open in positive x- axis direction
Let z = k
[tex]x^2 = y^2 + 5k^2[/tex]
The traces parallel to the xy plane are parabolas that open in the positive x-axis direction
with the given traces The surface can be sketched
Find the distance between M and N. The locations of M and N are -10 and -20
Answer:
10
Step-by-step explanation:
Subtract the two distances
-10 - -20
-10 +20
10
The distance is 10
Suppose bananas, b, cost $0.29 each. Write an expression for the cost of buying a certain quantity of bananas.
Answer:
0.29b =
Step-by-step explanation:
each banana costs .29 $ so if you replace b with any number, you would have the cost the certain quantity of bananas
The perimeter of the polygon above is
Answer:
30cm
Step-by-step explanation:
5+5+12+8
What is the value of h(-2) when h (2)=3x + 1?
O -5
O 6
O 3
Answer:
Step-by-step explanation:
h(-2) 3(-2) + 1 = -6 + 1 = -5
In a large accounting firm, the proportion of accountants with MBA degrees and at least five years of professional experience is 75% as large as the proportion of accountants with no MBA degree and less than five years of professional experience. Furthermore, 35% of the accountants in this firm have MBA degrees, and 45% have fewer than five years of professional experience. If one of the firm's accountants is selected at random, what is the probability that this accountant has an MBA degree or at least five years of professional experience, but not both
Answer:
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3
Step-by-step explanation:
From the given study,
Let A be the event that the accountant has an MBA degree
Let B be the event that the accountant has at least 5 years of professional experience.
P(A) = 0.35
[tex]P(A)^C[/tex] = 1 - P(A)
[tex]P(A)^C[/tex] = 1 - 0.35
[tex]P(A)^C[/tex] = 0.65
[tex]P(B)^C[/tex] = 0.45
P(B) = 1 - [tex]P(B)^C[/tex]
P(B) = 1 - 0.45
P(B) = 0.55
P(A ∩ B ) = 0.75 [tex]P(A^C \ \cap \ B^C)[/tex]
P(A ∩ B ) = 0.75 [ 1 - P(A ∪ B) ] because [tex]P(A^C \ \cap \ B^C)[/tex] = [tex]P(A \cup B)^C[/tex]
SO;
P(A ∩ B ) = 0.75 [ 1 - P(A) - P(B) + P(A ∩ B) ]
P(A ∩ B ) = 0.75 [ 1 - 0.35 - 0.55 + P(A ∩ B) ]
P(A ∩ B ) - 0.75 P(A ∩ B) = 0.75 [1 - 0.35 -0.55 ]
0.25 P(A ∩ B) = 0.075
P(A ∩ B) = [tex]\dfrac{0.075}{0.25}[/tex]
P(A ∩ B) = 0.3
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is: P(A ∪ B ) - P(A ∩ B)
= P(A) + P(B) - 2P( A ∩ B)
= (0.35 + 0.55) - 2(0.3)
= 0.9 - 0.6
= 0.3
∴
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3
Your company offers warranty coverage for MP3 players. The policy provides for the replacement of MP3 players that fail within 3 years of purchase of the MP3 player. The lifetime of a particular model of player is subject to a constant force of mortality, and the expected lifetime is 5 years. On January 1, coverage is purchased for 1000 MP3 players. Calculate the expected number of MP3 players replaced in the first year. (Ans 181.
Answer:
181 MP3 players
Step-by-step explanation:
Given data:
Replacement of MP3 that fail within 3 years
expected lifetime of MP3 = 5 years
number of MP3 players purchased = 1000
number of MP3 players replaced in the first year = ?
To determine the number of MP3 replaced in the first year we will employ this formula:
[tex]E(To) = \frac{1}{u} = e_{x} ^{0} =\int\limits^a_0 {po} \, dt[/tex]
a = ∞
since the given problem is an exponential distribution
1/u = 5 hence u = 0.2
next we will determine the number of MP3's to fail in its first year of purchase
qo = failure
po = success
number of purchase = 1000
attached below is the remaining part of the solution
