Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Normal distribution :
Mean (m) = 1049
Standard deviation (sd) = 189
Number of samples (n) = 16
A) What is the probability that one randomly selected student scores above 1100 on the GRE?
Obtain the z score
Zscore = (x - m) / sd
Zscore = (1100 - 1049) / 189
Zscore = 51 / 189 = 0.2698412 = 0.27
Using the z-table
P(X > 100) = 1 - P(X < 100) = 1 - 0.6064 = 0.3936
B) The sample mean = population mean
Hence sample mean = 1049
The sample standard deviation = standard error
Standard Error (SE) = sd / sqrt(n)
SE = 189/4 = 47.25
Hence shape = normal, standard deviation = 47.25, mean = 1049
C.) P(X < 1100)
Zscore = (x - m) / SE
Zscore = (1100 - 1049) / 47.25
Zscore = 51 / 47.25 = 1.0793650 = 1.08
Using the z-table :
P(X < 1100) = 0.8599
D.) P(X > 1100)
Zscore = (x - m) / SE
Zscore = (1100 - 1049) / 47.25
Zscore = 51 / 47.25 = 1.0793650 = 1.08
Using the z-table :
P(X > 1100) = 1 - P(X < 1100) = (1 - 0.8599) = 0.1401
E) if n = 64
SE = 189 / sqrt(64) = 189 / 8 = 23.625
P(X > 1100)
Zscore = (x - m) / SE
Zscore = (1100 - 1049) / 23.625
Zscore = 51 / 47.25 = 2.1587301 = 2.16
Using the z-table :
P(X > 1100) = 1 - P(X < 1100) = (1 - 0.9846) = 0.0154
The probability decreases as the same distribution hinges towards a Boal distribution with increasing sample size.
Amanda has a recipe that requires 3 1/2 cups of milk. If she is only making 2/3 of the recipe, how many cups of milk will she need?
Answer:
2 1/3
Step-by-step explanation:
She will need 2/3 of 3 1/2:
(2/3)(3 1/2) = (2/3)(3) +(2/3)(1/2) = 2 + 1/3
Amanda will need 2 1/3 cups of milk.
8(−5d−9)−3(−6d+10) in simplest terms?
Answer:
-22d+42
Step-by-step explanation:
-40d+72+18d-30=-22d+42
solve for x: 2+3 (x+2x) = -2x(2-4) +1
Answer:
x = -1/5
Step-by-step explanation:
2+3 (x+2x) = -2x(2-4) +1
Combine like terms
2+3(3x) = -2x (-2) +1
Distribute
2+9x = 4x +1
Subtract 4x from each side
2+9x-4x = 4x+1-4x
2+5x = 1
Subtract 2 from each sdie
5x = 1-2
5x = -1
Divide by 5
5x/5 = -1/5
x = -1/5
Please help me out thank you
Answer:
(-0.0008)^0 =11291^1 =1(1/3)^0 = 1Step-by-step explanation:
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^0=1,\:\\\\(-0.0008)^0 = 1\\\\1291^0 =1\\\\-(-3141)^0 = -1\\\\-(\frac{5}{8} )^0 =-1\\\\0^1 = 0\\\\(\frac{1}{3} )^0 = 1\\[/tex]
For the given function, find the vertical and horizontal asymptote(s) (if there are any). f(x) = the quantity x minus five divided by the quantity x squared minus one
Answer:
Step-by-step explanation:
The function is:
x - 5
f(x) = ---------------
x^2 - 1
Horizontal asymptote: observe that as x grows towards infinity, the function (and graph) approaches y = 0. This is the horizontal asymptote.
Vertical asymptote: These occur whenever the denominator of a rational function becomes zero. Here the vertical asymptotes are x = ± 1.
At the farmers market 2 pounds of peaches cost $4.20 how much will 4 pounds cost
Answer:
$8.4
Step-by-step explanation:
2 pounds of peaches cost $4.20
1 pound of peaches costs = 4.20 /2
4 pounds of peaches cost =[tex]\frac{4.20 *4}{2} \\8.4[/tex]
4 pounds of peaches cost $8.4
the sum of 14 and a number n is equal to 17. what is the number
Answer:
3
Step-by-step explanation:
14 + n = 17
you have to isolate n by subtracting 14
n = 3
Answer:
x=3
Step-by-step explanation:
14+x=17 subtract 14 from both sides and you get x=3
NEED HELP FAST!! A group of students performed an experiment to prove the law of conservation of energy. In the experiment, a flask containing water at room temperature was shaken vigorously for a few minutes. The table shows a partial record of the temperature of the water before and after shaking. Experimental Record Temperature Before Shaking 20 °C After Shaking Unknown What best predicts the unknown temperature? A- Less than 20 °C because the total energy of the system after shaking is lower B- Greater than 20 °C because the total energy of the system after shaking is higher C- Less than 20 °C, because the mechanical energy from shaking transforms to thermal energy D -Greater than 20 °C, because the mechanical energy from shaking transforms to thermal energy
Answer:
I think option D is the answer.
Answer:
D
Step-by-step explanation:
true answer ;)
5x - 7x + 6 = -2(x - 3)?
Answer: infinite number of answers
Step-by-step explanation:
5x - 7x + 6 = -2(x - 3) Distribute the -2
5x - 7x + 6 = -2x + 6 Combine like terms on the left side
-2x + 6 = -2x + 6 Add 2x to both sides
6 = 6
This means there’s an infinite number of answers. To test this, you could for example plug in 1 and -1. You’d find that they both solve the equation.
A bicycle is traveling at 20 miles per hour.
How many feet will it cover in 55 seconds?
Round your answer to the nearest tenth of a foot.
Answer:
1613.3 feetStep-by-step explanation:
Given the conversion 1mile = 5280feet
If a bicycle is traveling at 20 miles per hour, then the bicycke must have been travelling at (20*5280)feet per hour which is equivalent to 105,600 feet per hour.
To know the number of feet that will be covered in 55seconds, we will solve the equality operation;
If 105,600 feet = 1hour (3600secs)
x foot = 55secs
where x is the amount of feet it will cover in 55 seconds?
Cross multiply
3600 * x = 105,600*55
3600x = 5,808,000
divide both sides by 3600
3600x/3600 = 5,808,000/3600
x = 1613.3 feet (to the nearest tenth)
Hence the amount of feet covered in 55seconds to the nearest tenth is 1613.3 feet
what is 3 2/3 as a fraction
Answer:
[tex]\frac{11}{3}[/tex]
Step-by-step explanation:
[tex]3\frac{2}{3}[/tex]
3 * 3 = 9
So we add 9 to the top which is 2
9+2 = 11
ta da
11/3
Hope this helps!!! :)
pls mark brainliest
Answer:
3 2/3= 11/3
Step-by-step explanation:
Work to prove it:
Step 1
Multiply the denominator by the whole number
3 × 3 = 9
Step 2
Add the answer from Step 1 to the numerator
9 + 2 = 11
Step 3
Write answer from Step 2 over the denominator
11/3
If this helps please mark me the brainiest
June bought three books. For the first book, she paid one half of her allowance plus $1 more. For the second book, she paid one half of her left-over money plus $2 more. For the third book, she paid one half of her left-over money plus $3 more. At this point, she had no money left. How much was her allowance?
Answer:
$34
Step-by-step explanation:
I'd work backwards.
For the third book, she paid all her remaining money. The problem says she paid "1/2 her leftover money + $3". This means that: (let m = money used to buy book 3)
m = 1/2m + 3
1/2m = 3
m = 6
For the second book: (let n = money before book 2)
n - m (money left after book 2) = 1/2n + 2
1/2n +2 is money used up for book, which is the same as n-m.
n = 1/2n + 2 + m
1/2n = 2 + m = 2 + 6
1/2n =8
n = 16
For the first book, she spent 1/2 her money + 1. If o = money before book 1 (or the whole allowance):
o - n = 1/2o + 1
o = 1/2o + n + 1 = 1/2o + 16 + 1
1/2o = 17
o = 34
Check!
Spent 17 (half 34) + 1 on book 1
16 left
Spent 8 (half 16) +2 on book 2
6 left
Spent 3 (half 6) + 3 on book 3
0 left
Simplify the expression (4x^3y^-5)^4
Answer:
64x^12 / y^20
Step-by-step explanation:
(4x^3y^-5)^4
Distribute the exponential value of 4 to all terms in the parentheses.
4^4 * x^(3*4) * y^(-5*4)
Multiply each exponent.
64x^12 * y^-20
Make the negative exponent positive by making it a fraction.
64x^12 / y^20
2+2995442974346496329869631467646547624672463777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
Answer:
2.9954429743464962e+168
Step-by-step explanation:
On a drawing of a model airplane, the scale used is 1 in.:3 ft. How many feet would 4.5 inches represent?
A.13.5ft
B.6.5ft
C.1.5ft
D.4.5ft
Answer:
A. 13.5ft
Step-by-step explanation:
Triangle△ABC is rotated -120 about point P to create △ABC
Twenty points :) plz help. The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. Show your work. Convert your answer into scientific notation if necessary: Earth-151.13 Neptune- 4.4764
Answer:
53357.1428571 hours
Step-by-step explanation:
1.494 billion km from Saturn to earth, divided by 28,000
Question
The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. Show your work. Convert your answer into scientific notation if necessary: Earth-151.13 Neptune- 4.4764
Answer
53357.1428571 hours
Find the missing length to the nearest tenth.
13.3
9.7
Answer:
≈ 9.1
Step-by-step explanation:
As per Pythagorean theorem, the missing leg has length of:
[tex]\sqrt{13.3^2 - 9.7^2}[/tex] = [tex]\sqrt{82.8}[/tex] ≈ 9.1
Heather wants to purchase a pet from her local pet store. The pet store is offering 50% off rare exotic parrots. The original purchase price of a parrot is $956.50. Heather has a coupon for 10% off her entire purchase. How much will she pay if she also purchases a birdcage for $47.05?
$525.66
$478.25
$472.77
$903.20
C) $472.77
Step-by-step explanation: The parrot is half off so it goes from $956.50 to $478.25. Add the bird cage for $47.05 and she has a total of $523.3 to pay. The 10% off coupon makes her need to pay $472.77.
Answer:
$472.77
Step-by-step explanation:
To to this you would just do 50% of 956.50 so you would multiply 956.50 and 50 so you get 48,725 and divide by 100 so you get 487.25 as the price of the bird. So then you you would add 47.05 to the number so you get 525.30 and you would multiply by 10 then divide by 100 so you get 52.53 and subtract that from 525.30 so you get $472.77
Please.... I need answers for these fractions.
1 whole, 1 whole, 3/5, 1 whole,6/7, 1 whole,6/9, 8/10, 6/13, and 6/7 i think but im not positive
I need help! Please! Geometry! I don't know what I'm doing!
Find the unknown. Identify the property that completes the number sentence. 24 + ___ = 18 + 24 Need a Hint? 18; Commutative Property of Addition 18; Associative Property of Addition 18; Identity Property of AdditionNEED A ANSWER RIGHT NOW!!!!!!
Answer: 18
Step-by-step explanation:
24+18= 42, and so does 18+24
;)
find the solutions of the quadratic equation 5x^2 +3x+1=0
Answer:
The answer is
[tex]x = - \frac{3}{10} + \frac{ \sqrt{11} }{10} \: i \\ \\ \: OR \\ \\ x = - \frac{ 3}{10} - \frac{ \sqrt{11} }{10} \: i[/tex]Step-by-step explanation:
5x² + 3x + 1 = 0
Using the quadratic formula
[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]From the question
a = 5 , b = 3 , c = 1
Substitute the values into the above formula and solve
That's
[tex]x = \frac{ - 3\pm \sqrt{ {3}^{2} - 4(5)(1) } }{2(5)} \\ x = \frac{ - 3\pm \sqrt{9 - 20} }{10} \\ x = \frac{ - 3\pm \sqrt{ - 11} }{10} \\ x = \frac{ - 3\pm \sqrt{11 } \: i}{10} \\ x = \frac{ - 3 + \sqrt{11} \: i}{10} \: \: or \: \: \: x = \frac{ - 3 - \sqrt{11} \: i}{10} [/tex]Separate the real and imaginary parts
We have the final answer as
[tex]x = - \frac{3}{10} + \frac{ \sqrt{11} }{10} \: i \\ \\ x = - \frac{ 3}{10} - \frac{ \sqrt{11} }{10} \: i[/tex]The equation has complex roots
Hope this helps you
The table shows the ratio of nuts to raisins in different snack mixes. Which graph shows these equivalent ratios?
Answer:
figure 3
Step-by-step explanation:
see attached
x coordinates is the nuts
and y coordinates is the raisings
These corresponding ratios are only visible in graph 3.
What is the ratio?The ratio is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
Given, The table shows the ratio of nuts to raisins in different snack mixes.
to compare the graph in Figure 1 with the graph in Figure 2 you would say that as both independent variables increase so do the Raisins.
but the first two graphs are not satisfying the value given in the chart or table.
By comparing Graph 3 and graph 4
SinceNuts should be on the x-axis and raisins on the y-axis
thus only graph 3 is satisfying all the criteria given in the problem.
Therefore, only graph 3 shows these equivalent ratios Also see the attached picture below.
Learn more about the ratio here:
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The angles in a triangle are such that one angle is 85∘ more than the smallest angle, while the third angle is 3 times as large as the smallest angle. Find the measures of all three angles.
Answer:
Step-by-step explanation:
x + x + 85 + 3x = 180
5x + 85 = 180
5x = 95
x = 19°
3(19)= 57°
x + 85 = 19 + 85 = 104°
The angles in a triangle are such that one angle is 85° more than the smallest angle, while the third angle is 3 times as large as the smallest angle. On solving the linear equation, the measures of all three angles are 17°, 51° and 102°.
Linear equation in one variable is an equation with an equals to sign with expressions on either side of it being equal. There must only be one variable. Also, the degree of each term must be one.
Given in the question:
Let the smallest angle be x°
the second angle = (x+85)°
the third angle = 3x°
Sum of all interior angle of a triangle = 180°
The linear equation becomes:
x + (x+85) + 3x = 180
5x + 85 = 180
5x = 95
x = 17°
x + 85 = 17 + 85 = 102°
3x = 17 * 3 = 51°
Learn more about linear equation here
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you are making lemonade to sell at the trck meet. according to the recipe, you need 12 ounces of lemon juice for every 240 ounces of sugar water. You have 16 ounces of lemon juice. How many ounces of sugar water do you need?
8. Solve for y. **THINK! a) what type of angles do you have? b) what is their
relationship (add up to 90, add up to 180, or congruent)? c) set up an equation
and solve *
Answer:
a. Linear pair (supplementary)
b. Add up to 180°
c. [tex] y = 20 [/tex]
Step-by-step explanation:
78° and (5y + 2)° are a linear pair. They are supplementary, and add up to 180°.
Therefore, the following equation expresses their relationship:
[tex] 78 + (5y + 2) = 180 [/tex]
Solve for y
[tex] 78 + 5y + 2 = 180 [/tex]
[tex] 78 + 2 + 5y = 180 [/tex]
[tex] 80 + 5y = 180 [/tex]
Subtract 80 from both sides
[tex] 80 + 5y - 80 = 180 - 80 [/tex]
[tex] 5y = 100 [/tex]
Divide both sides by 5
[tex] \frac{5y}{5} = \frac{100}{5} [/tex]
[tex] y = 20 [/tex]
( 4a + 1 )( 7a 2 - 3a - 5 ) simplified
Answer:
28a³ - 5a² - 23a - 5
Step-by-step explanation:
FOIL and Distribute Parenthesis
Step 1: Write out expression
(4a + 1)(7a² - 3a - 5)
Step 2: Distribute 4a
28a³ - 12a² - 20a
Step 3: Distribute 1
7a² - 3a - 5
Step 4: Combine
28a³ - 12a² - 20a + 7a² - 3a - 5
Step 5: Combine like terms
28a³ - 5a² - 23a - 5
Find the area of the triangle below. Be sure to include the correct unit in your answer.
Answer:
54cm²
Step-by-step explanation:
Area=1/2bh
=1/2(18)(6)
=54cm²
A bag contains 3 red apples and 6 yellow apples. 3 apples are selected at random. Find the probability of selecting 1 red apple and 2 yellow apple.
Step-by-step explanation:
[tex]number \: of \: ways \: to \: select \: 3 \: out \: of \: 9 = {C}^{9}_3 = 84[/tex]
[tex]ways \: to \: select \: 1red \: and \: 2yellow \: apples \: = {C}^{3}_1 \times {C}^{6}_2 = 3 \times 15 = 45[/tex]
Probability of selecting 1 red and 2 yellow apples = 45 / 84 = 0.53