Answer:
Hence, the score for each of the five observations are [tex]-1.25,1.25,-0.75,0.50,0.25[/tex]
Given :
Sample with data values of [tex]x_i[/tex] [tex]10,20,12,17[/tex] and [tex]16[/tex]
Sample size[tex]n=5[/tex]
To find:
Compute the score for each of the five observations.
Explanation :
[tex]\because[/tex] Sample mean [tex]\bar{x}=\frac{\sum x_i}{n}[/tex]
[tex]\Rightarrow \bar{x}=\frac{10+20+12+17+16}{5}=\frac{75}{5}[/tex]
[tex]\Rightarrow \bar{x}=15[/tex]
Standard deviation [tex]\sigma=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5-1}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{(-5)^2+(5)^2+(-3)^2+(2)^2+(1)^2}{4}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{25+25+9+4+1}{4}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{64}{4}} =\sqrt{16}[/tex]
[tex]\Rightarrow \sigma=4[/tex]
[tex]\because[/tex] The score of the observations [tex]Z[/tex] is [tex]\frac{x-\bar{x}}{\sigma}[/tex].
So, when [tex](x=10),[/tex] [tex]Z=\frac{10-15}{4}=-1.25[/tex]
when [tex](x=20),[/tex] [tex]Z=\frac{20-15}{4}=1.25[/tex]
when [tex](x=12),[/tex] [tex]Z=\frac{12-15}{4}=-0.75[/tex]
when [tex](x=17},[/tex] [tex]Z=\frac{17-15}{4}=0.50[/tex]
when [tex](x=16)[/tex] [tex]Z=\frac{16-15}{4}=0.25[/tex]
Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Answer:
The answer is 15 ounces
Step-by-step explanation:
33/4 ÷ 4 pounds.
(4 × 3 + 3)/4 ÷ 4 pounds.
15/4 ÷ 4 pounds.
15/4 × 1/4 pounds.
15/16 pounds.
Now we know that, 1 pound = 16 ounces.
So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.
Thus, The answer is 15 ounces
1+2+3+4+5+6+7+8+9+10=
im bor*ed...pls ch*at with me???
Graduates A random sample of the average debt (in dollars) at graduation from 30 of the top 100 public colleges and universities is listed below. Is there sufficient evidence at a _ 0.01 to conclude that the population mean debt at graduation is less than $18,000? Assume s _ 2605
16,012 15,784 16,597 18,105 12,665 14,734
17,225 16,953 15,309 15,297 14,437 14,835
13,607 13,374 19,410 18,385 22,312 16,656
20,142 17,821 12,701 22,400 15,730 17,673
18,978 13,661 12,580 14,392 16,000 15,176
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results
Answer:
H0 : μ = 18000
H1 : μ < 18000 - - - > Claim
Test value = - 3.578
Critical value = ±2.58
There is significant evidence to accept the claim that mean debt at graduation is less than $18000
Step-by-step explanation:
H0 : μ = 18000
H1 : μ < 18000
From the data:
Sample size, n = 30
Sample mean, x = 16298.37
The test statistic :
(16298.37 - 18000) ÷ (2605/sqrt(30))
−1701.63 / 475.60575
= - 3.578
The critical value :
Using the standard normal table;
Critical value at α = 0.01
Critical value = ±2.58
Decison region :
|test statistic | > |Critical value | ; reject H0
|3.578| > |2.58| ; We reject H0 and conclude that Mean debt at graduation is less than $18000
please help school is literally about to end
Answer:
192 is the answer
Step-by-step explanation:
Answer:
SA = 272 sq in
Step-by-step explanation:
SA = 2(8 x 2) + 2(8 x 12) + 2(2 x 12)
= 2(16) + 2(96) + 2(24)
= 32 + 192 + 48
= 272 sq in
3353 8. A survey showed that 1/3 of the students in the class liked blue 1/4 of the remainder liked red. The remaining 24 students liked yellow. How many students were in the class?
Answer: there are 48 students in the class
Step-by-step explanation:
let x = the total number of students in the class
1 - 1/3 = 2/3
1/4 * 2/3 = 2/12 = 1/6
1/3x + 1/6x + 24 = x
2/6x + 1/6x + 24 = x
3/6x + 24 = x
1/2x + 24 = x
24 = x - 1/2x
24 = 1/2x
24 * 2 = x
x = 48
there are 48 students in the class
Can someone help me with this ?
Is this correct? the question is asking if the triangle would have a right, acute, or obtuse angle.
Answer:
Acute
Step-by-step explanation:
All triangles have to have a acute or it would be to big
Answer:
yes it is because its a triangle and its acute
Kind of easy giving alot points to anyone who knows
Answer:
5 hours
Step-by-step explanation:
Someone please help me!!
For the given equation, what is the step to clear the fractions and what is the result?
O Multiply both sides by 6 to get 4y - 1 = 21.
O Multiply both sides by 18 to get 12y - 3 = 7.
O Multiply both sides by 6 to get 2y - 1 = 7.
Multiply both sides by 12 to get 2y - 1 = 7
Answer:
The first choice
Step-by-step explanation:
Multiplyil by 6 to get 4y - 1 =21
Select the correct answer from each drop-down menu
please help. NO LINKS.
Answer:
the answer is A
y= 1.9x + 69
y=6x
Which two do i pick ? Evaporation changes gas / liquid water to ice (solid) / water vapor (gas).
Answer:
Evaporation changes liquid water and even soled water (ice) to water vapor, which is a gas. This all part of the water cycle
Step-by-step explanation:
thank you
Given
mZQPS is a straight angle
mZQPR = 72 – 4°
mZRPS = 9x - 40°
Find mZQPR:
P
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Answer:
m∠QPR = 94°
Step-by-step explanation:
Given:
m∠QPS = 180°
m∠QPR = 7x -4°
m∠RPS = 9x -40°
Find:
m∠QPR
Solution:
m∠QPR + m∠QPR = 180°
(7x -4°) +(9x -40°) = 180°
16x = 224° . . . . . . . . . . . . . add 44°
x = 14° . . . . . . . . . . . . . divide by 16
m∠QPR = 7x -4° = 7(14°) -4°
m∠QPR = 94°
if f (x)=x^2+1 and g(x) =x-4 which value is equivalent to f x g
Answer:
A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]
Step-by-step explanation:
We are given the following functions:
[tex]f(x) = x^2 + 1[/tex]
[tex]g(x) = x - 4[/tex]
Which value is equivalent to f x g?
We multiply these functions, applying the distributive property. So
[tex]f \times g = (x^2+1)(x-4) = x^3 - 4x^2 + x - 4[/tex]
A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]
Jina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jina $4.35 per pound, and type B coffee costs $5.80 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $510.40. How many pounds of type A coffee were used?
Number of pounds of type A coffee:
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Answer:
32 pounds
Step-by-step explanation:
Let 'a' represent the number of pounds of Type A coffee used. Then the number of pounds of Type B coffee in the mix is 2a, and the total cost of the mix is ...
4.35a +5.80(2a) = 510.40
15.95a = 510.40 . . . . collect terms
a = 32 . . . . . . . . . . . divide by 15.95
Number of pounds of type A coffee: 32.
Joe drove 80 kilometers per hour for 4 hours. How far did he go?
Step-by-step explanation:
velocity = distance/time taken
distance=velocity ×time taken
distance=80×4
distance=320kilometers
Find the value of x. 2x - 5 > 7 *
Answer:
[tex]x>6[/tex]
Step-by-step explanation:
Answer:
x > 6
Step-by-step explanation:
please help with this
Answer:
5.5 or simply 6
Step-by-step explanation:
6 = 33
1 = x
6x = 33
x = 5.5 ~6
PLEASE HELP I DON'T KNOW
Answer:
radius
Step-by-step explanation:
Answer:
It is the radius
Step-by-step explanation:
De un saco de frutas que contiene 3 naranjas, 2 manzanas, y 3 plátanos, una muestra aleatoria de 2 piezas de se selecciona la fruta. Si X es el número de naranjas e Y es el número de manzanas en la muestra, encuentre
(a) la distribución de probabilidad conjunta de X y Y, muestre la tabla de distribución;
(b) Pruebe que la suma de columnas y renglones nos entregan las distribuciones marginales de X , Y
(c) Calcule P(Y = 0|X = 2)
(d) Demuestre que las variables aleatorias X ,Y no son estadísticamente independientes
Answer:
ok
Step-by-step explanation:
i phone you have a great day but I don't think it will be a good pic of your face is it a good day today and tomorrow to drink seculari sec to
help!!
using quadratic formula
round to the nearest hundred
Answer:
x=-7±√97/4
Step-by-step explanation:
-7±√97
______
4
how do you find the answer?5y+8=-6
Answer:
Step-by-step explanation:
5y+8=-6
-8
5y=-14/5
y=-2.8
Answer:
y = - 2.8
[tex]y=-2\frac{4}{5}[/tex]
Step-by-step explanation:
5y + 8 = - 6
5y + 8 - 8 = - 6 - 8
5y = - 14
5y ÷ 5 = - 14 ÷ 5
y = - 2.8
Find the 14th term of the arithmetic sequence x-4, 7x-9, 13x-14, ...
Answer:
14x-9
Step-by-step explanation:
Carmen drives her car 4,629 miles Uma drives her car more miles than Carmen how many miles could on my drive her car
Answer:
4,962
Step-by-step explanation:
An assistant receives a wage of $16.24 per hour this amount is 112% of last year's wage what is the dollar increase in the hourly wage over last year use proportion method
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Answer:
$1.74
Step-by-step explanation:
The ratio of the increase to this year's wage is ...
12%/112% = x/$16.24
Multiplying by $16.24, we have ...
x = $16.24(12/112) = $1.74
The dollar amount of the wage increase is $1.74.
ANSWERRRRRRRRRRRRRRRRRRRR PLZZZZZZZZZZZZZZzz
Answer:
-1/3
Step-by-step explanation:
Find two points on the line (0,2) and (3,1)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (1-2)/(3-0)
= -1/3
Answer:
A
Step-by-step explanation:
1) take two points of the line
A(0,2) ; B(3,1)
2) use this formula for find the slope
(y2-y1)/(x2-x1)
(1-2)/(3-0)
slope = -1/3
I need help on dis one
Answer:
B, C, and D
Step-by-step explanation:
ahhhhh uh you are looking for things less than that line so you would pretty much shade in the under side of the line and any point that is in that shaded region is the answer
Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol ( μ, rho, σ) for the indicated parameter. A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness. Use p, the true percentage of the population that suffers from extreme shyness.
a) H0 : p = 5.8%
H1 : p < 5.8%
b) H0 : p = 5.8%
H1 : p ≥ 5.8%
c) H0 : p = 5.8%
H1 : p > 5.8%
d) H0 : p = 5.8%
H1 : p ≤ 5.8%
Answer:
c) H0 : p = 5.8%
H1 : p > 5.8%
Step-by-step explanation:
At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.
A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness
At the null hypothesis, we test if the percentage is 5.8%
[tex]H_0: p = 5.8\%[/tex]
At the alternate hypothesis, we test if this percentage is more than 5.8%. So
[tex]H_a: p > 5.8\%[/tex]
This means that the correct answer is given by option c.
Answer:
c) H0 : p = 5.8%
H1 : p > 5.8%
Step-by-step explanation:
Hope this helps
Can someone help me please
Answer:
It's 2/15
Step-by-step explanation:
Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Answer: 471
Step-by-step explanation:
3.14 X 5(2) X 6
3.14 X 25 X 6
471 units (3)
Answer:
401.92
Step-by-step explanation:
khan