The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion exceeds 30%, then the lab will scale back a proposed enlargement of its facilities. Suppose 300 business students were randomly sampled and 65 have PC's at home. What assumptions are necessary for this test to be satisfied
Solution :
Given data :
x = 65, n = 300
[tex]$\hat p = \frac{x}{n}[/tex]
[tex]$=\frac{65}{300}$[/tex]
= 0.2167
The hypothesis are :
[tex]$H_0: p \leq 0.3$[/tex]
[tex]$H_0: p> 0.3$[/tex]
The [tex]\text{level of significance}[/tex], α = 0.05
The test is right tailed.
The standard deviation is :
[tex]$\sigma = \sqrt{\frac{0.3(1-0.3)}{300}}$[/tex]
σ = 0.0265
The test statistics is :
[tex]$z=\frac{\hat p - p}{\sigma}$[/tex]
[tex]$z=\frac{0.2167 - 0.3}{0.0265}$[/tex]
= -3.14
The critical value is 1.645
The rejection region is : If z > 1.645, then we reject [tex]H_0[/tex]
Decision :
Since the test statistics does not lie in the rejection, so we fail to . [tex]\text{reject the null hypothesis}[/tex].
P-value : [tex]$P(z > - 3.14)$[/tex] = 0.9992
Therefore, the p-value is not less than the level of significance so we fail to [tex]\text{reject the null hypothesis}[/tex].
Re write the statement 19 +7 / 2 x 6 + 1 by including two pairs of brackets to make the total value equal to 2
Solve the problem below where X=4 3X+7=
X = 4×3 X + 7
Resultado
X = 12 X + 7
Forma alternativa
-11 X - 7 = 0
X = -7/11
a car gets 27 miles per gallon in the city and 35 miles per gallon on the highway. what range of miles can the car travel on 3 gallons of gas
Which of the eee-values satisfy the following inequality?
Answer:
Enterprises usually adopt some quality practices to control the product quality during the manufacturing process in order to assure the delivery of qualitative good products to customers. The quality practices or quality management systems adopted by industries will further evolve due to the changes of quality concepts as time goes by. This chapter discusses the change of quality concepts and the related revolution of quality management systems in the past century. The quality concepts were gradually changed from the achievement of quality standards, satisfaction of customer needs, and expectations to customer delight. Since merely satisfying customers is not enough to ensure customer loyalty, the enterprises gradually focus on customers’ emotional responses and their delight in order to pursue their loyalty. The emotion of “delight” is composed of “joy” and “surprise,” which can be achieved as the customers’ latent requirements are satisfied. Thus, the concept of “customer delight” and the means to provide the innovative quality so as to meet the unsatisfied customers’ latent needs are elaborated on. Finally, a framework of innovation creation is developed that is based on the mining of customer's latent requirements. This outline will manifest the essential elements of the related operation steps.
Factor Z squared minus 3Z -18
Answer:
z^2-3z-18
=(z^2+3z)+(-6z-18)
=z(z+3)-6(z+3)
=(z+3)(z-6)
Please help its urgent:
11. A fish tank has dimensions 3 feet by
2 feet by 1.5 feet. Two feet is the
height of the aquarium. If the tank is
not filled all the way and there are
two inches of empty space at the top,
how many cubic inches of water are
in the tank? (7 points) im not sure how to show my work
SCREAMING HELP ALERT !!
Answer: 1/3
Step-by-step explanation:
On side of the smaller quadrilateral is 8, the same side on the larger one is 24. 8 times 3 is 24. So the scale factor from the smaller to the larger is 1/3.
Answer:
1/3
Step-by-step explanation:
similar means all sides are proportinal, in this case one side is 3x bigger in the 2nd figure, so the same must be true of the other fig.
|Large{\frac {x}{x + 3} = \frac {5}{2}}
Answer:
x=-5
Step-by-step explanation:
[tex]\frac{x}{x+3} =\frac{5}{2} \\5x+15=2x\\5x-2x=-15\\3x=-15\\x=-15/3=-5[/tex]
[tex]( - 12) \times ( - 4) + ( - 8) + ( + 3)[/tex]
could you help..
[tex] \sf \: ( - 12 )\times( - 4) + (- 8 )+ (+ 3) \\ \sf \: = (- 12 \times - 4 )+ (- 8 + 3) \\ \sf \: = 48 - 5 \\ = 43[/tex]
Hope it helps.
RainbowSalt2222
Go Which operation would be completed second in the following expression? 7² -3+9+8 dividend by two
Choices:
Subtract
Multiply
divide
Simplify the exponet
Answer:
Divide
Step-by-step explanation:
Using PEMDAS, the first would be parenthesis, but there are none, so we do not use P. Next is E which is exponents, which would be the first thing completed. Then is M and D which is multiplication and division. The division is used which is "dividend by two" as it's the second thing completed.
Hope this helped.
I don’t really understand this…
Steps:
Calculate MU/P
Compare MUx with MUy
Choose highest MU
Continue until you spend all of your money
Answer:
In the real world, a consumer may purchase more then one commodity. Let us assume that a consumer purchases two goods X and Y. How does a consumer spend his fixed money income in purchasing two goods so as to maximize his total utility? The law of equi-marginal utility tells us the way how a consumer maximizes his total utilit
which expression is equivalent to \root(3)(x^(5)y)
Answer:
[tex]\sqrt[3]{x^{5}y} = x^{\frac{5}{3}}y^\frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt[3]{x^{5}y}[/tex]
Required
The equivalent expression
We have:
[tex]\sqrt[3]{x^{5}y}[/tex]
Rewrite as an exponent
[tex]\sqrt[3]{x^{5}y} = (x^{5}y)^\frac{1}{3}[/tex]
Open bracket
[tex]\sqrt[3]{x^{5}y} = x^{5*\frac{1}{3}}y^\frac{1}{3}[/tex]
[tex]\sqrt[3]{x^{5}y} = x^{\frac{5}{3}}y^\frac{1}{3}[/tex]
-6>t-(-13)
slove for the inequality
Answer:
-19>t
Step-by-step explanation:
-6>t-(-13)
-6>t +(13)
Subtract 13 from each side
-6-13 > t+13-13
-19>t
Expand.
Your answer should be a polynomial in standard form.
Answer:
-p^4 + 4p^3 - 5p^2 + 8p - 6
Step-by-step explanation:
Distribute the -p^2 to the p^2 and the 2. Then distribute the 4p to the p^2 and the 2. Then distribute the -3 to the p^2 and the 2.
When we expand:
-p^4 - 2p^2
+ 4p^3 + 8p
-3p^2 - 6
Group, ordering from highest to lowest "degree" (exponent).
-p^4 + 4p^3 - 2p^2 - 3p^2 + 8p - 6
Combine like terms.
-p^4 + 4p^3 - 5p^2 + 8p - 6
(2 + 6i)(8 – 9i)
Divide and simp
Answer:
70+30i
Step-by-step explanation:
TO BE ANSERED ASAP
If n = 4, then 9ˆ8 ÷ 9 n is equal to__________________.
Answer:
1,195,742.25 (final answer since instructions did not include rounding up or anything)
Step-by-step explanation:
n = 4
The given expression is:
9^8 ÷ 9n
USE PEMDAS order of operations and solve:
9^8 ÷ 9n
= 43046721 ÷ 9n
Substitue n with 4 and solve:
43046721 ÷ 9(4)
= 43046721 ÷ 36
= 1,195,742.25
Answer:
9^4
Step-by-step explanation:
We know that a^b ÷ a^c = a^ (b-c)
9^8 ÷ 9^4
9^(8-4)
9^4
Please help I have no idea
Answer:
38
Step-by-step explanation:
Put 2 in place of q
(34+18×2)-(5^2+7)
(34+36)-(25+7)
70-32=38
Tha length of a side of equilateral traingle is give below. find the perimeter of traingles
i. l=4cm
ii. 5.5 cm
Answer:
i. 12cm
ii. 16.5cm
Step-by-step explanation:
The side lengths on an equilateral triangle are all equal to each other. So if one side is given we can find the perimeter of the triangle by multiplying one of the sides by 3.
4*3=12
5.5*3=16.5
Which values are solutions of the quadratic equation 0 = (x + 3)2 – 4? Check all that apply. –5 –4 –3 –1 3 5
hi
(x+3)^2 -4 = ( (x+3) +2) ( (x+3)-2 )
= ( x+5) (x +1)
so
solutions are : x+5=0 so x=-5
x+1= 0. so x= -1
solution are -5 +and -1
(Ight ima need some help!! ) solve the following equation (2x + 3) (3x + 2) − (3x + 2) (2x− 3) = 0. solve for x and show work
(2x + 3) (3x + 2) − (3x + 2) (2x− 3) = 0
Answer:
x = [tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
I used the FOIL method
[(2x + 3) (3x + 2)] − [(3x + 2) (2x− 3)] = 0
[tex](6x^{2} +4x+9x+6) - (6x^{2} -9x+4x-6)=0[/tex]
[tex](6x^{2} +13x+6) - (6x^{2} -5x-6)=0[/tex]
[tex](6x^{2} +13x+6) - 6x^{2} +5x+6=0[/tex]
combine like terms
[tex]6x^{2} -6x^{2} = 0[/tex]
[tex]13x+5x=18x[/tex]
[tex]6+6=12[/tex]
so, [tex]18x +12 = 0[/tex]
subtract 12 on both sides
[tex]18x=-12[/tex]
divide by 18 to isolate x
[tex]x=-\frac{12}{18}[/tex]
and simplifies to
[tex]x=-\frac{2}{3}[/tex]
Evaluate Equation Below
Please help!
Answer:
2nd answer
Step-by-step explanation:
4x^3+2
4*(-1)^3+2
4*(-1)+2
-4+2
-2
Answer: -2
Step-by-step explanation:
Replacing x for -1 would make the equation [tex]4(-1^3)+2[/tex]. Knowing PEMDAS, we know that the parentheses goes first. [tex]-1^3[/tex] means that we need to multiply -1 by itself 3 times ([tex]-1*-1*-1[/tex], * equals "times"). [tex]-1*-1=1[/tex] so [tex]1*-1=-1[/tex]. Now our equation is [tex]4(-1)+2[/tex]. [tex]4*-1=-1[/tex] and -4 + 2 = -2. Hope this explanation helps :)
Determine the perimeter of the following figure
pls help! ill mark brainliest
Answer:
Step-by-step explanation:
Use Pythagorus to find the length of the unmarked length
c^2 = a^2 + b^2
a = 5
b = 17 -10 = 7
c = ?
c^2 = 5^2 + 7^2
c^2 = 25 + 49
c = sqrt(74)
c =8.602
P = 5 + 10 + 17 + 8.602
P = 40.602
1.Find x,y and z in the figure. 2. find the x and y in the figure
[tex]\\ \sf\longmapsto x+2x+90=180[/tex]
[tex]\\ \sf\longmapsto 3x+90=180[/tex]
[tex]\\ \sf\longmapsto 3x=180-90[/tex]
[tex]\\ \sf\longmapsto 3x=90[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{90}{3}[/tex]
[tex]\\ \sf\longmapsto x=30[/tex]
Now
[tex]\\ \sf\longmapsto x=2y[/tex](Opposite interior angles)
[tex]\\ \sf\longmapsto 2y=30[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{30}{2}[/tex]
[tex]\\ \sf\longmapsto y=15[/tex]
And
[tex]\\ \sf\longmapsto x+z=180[/tex]
[tex]\\ \sf\longmapsto z+30=180[/tex]
[tex]\\ \sf\longmapsto z=180-30[/tex]
[tex]\\ \sf\longmapsto z=150[/tex]
Answer:
Figure 1Straight angle is 180°:
2x + 90° + x = 180° ⇒ 3x = 90° ⇒ x = 30°Alternate interior angles are congruent:
2y = x ⇒ 2y = 30° ⇒ y = 15°Consecutive interior angles are supplementary:
x + z = 180° ⇒ z = 180° - 30° ⇒ z = 150°Figure 2Alternate interior angles:
3x = 5x - 20° ⇒ 2x = 20° ⇒ x = 10°Sum of interior angles of a triangle:
2y + 4y + 5x - 20 = 180° ⇒ 6y + 5*10° = 200° ⇒ 6y = 150° ⇒ y = 25°Dilbert invests a total of $26,000 in two accounts paying 14% and 2% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $2,560.00
Answer:
$17,000 at 14% and $9,000 at 2%
Step-by-step explanation:
Let x = amount invested at 14%.
Let y = amount invested at 2%.
x + y = 26000
0.14x + 0.02y = 2560
-0.02x - 0.02y = -520
(+) 0.14x + 0.02y = 2560
-------------------------------------
0.12x = 2040
x = 17,000
x + y = 26000
17000 + y = 26000
y = 9000
Answer: $17,000 at 14% and $9,000 at 2%
Find the sum of the first 40 terms of an arithmetic series whose first term is 7 and 40th term is 115. Type answer as an integer (no decimals)
arithmetic sum formula:
Sn = (a1 +
+ an)
geometric sum formula:
az (1 - p)
S =
1-r
Answer:
Answer:
2440
Step-by-step explanation:
an=115
a=7
Sn=n/2(a+an) [Where n is no. of terms]
= 40/2(7+115)
= 20(122)
= 2440
Marry can read 22 pgs in 30mins .How long wud it take her to read a 100 page book??write your answer in hours and minutes and round it to the nearest minute??
Step-by-step explanation:
This is a proportions problem:This is a proportions problem: This is a proportions problem: 22 pages → 30 minutesThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutesThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/xThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x ThenThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x Then This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x Then x = (100/22)(30) minutes = 136.4 minutes.ans of this
fast to get 10 pts
Answer:
2.equivalent sets is answer.8 thousands÷10= ?
khan academny questions are confusing when you're doing math in the middle of the night
Step-by-step explanation:
Answer of your question is 800the equation of the line that goes through the points (5,5) and is parallel to the line going through the points (-5,5) and (6,1) can be written in the form y=mx+b where m is and b is
Answer:
y = -4/11x + 75/11
Step-by-step explanation:
y2 - y1 / x2 - x1 1 - 5 / 6 - (-5) -4/11
y = -4/11x + b
5 = -4/11(5) + b
5 = -20/11 + b
75/11 = b
