Answer:
Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex] = 1.6
we reject the Null hypothesis
Step-by-step explanation:
The correct test statistic
Assume :
Null Hypothesis : H_0 : p = 0.08
Alternative hypothesis : H_a : p ≠ 0.08
p = proportion of residents that are unemployed
x = unemployed residents = 22
n = sample size = 200
To get the sample of the population that is unemployed we use this equation
[tex]p = \frac{X}{n}[/tex] = 22 / 200 = 0.11
now we apply the test of of significance of single proportion
= Z = [tex]\frac{p - P}{\sqrt{pq/n} }[/tex]
therefore Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex] = 1.6
Therefore we reject the Null hypothesis
Testing the hypothesis, it is found that the test statistic used is z = 1.6.
At the null hypothesis, it is tested if the proportion is of 8%, that is:
[tex]H_0: p = 0.08[/tex]
At the alternative hypothesis, it is tested if the proportion is different of 8%, that is:
[tex]H_1: p \neq 0.08[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.08, n = 200, \overline{p} = \frac{22}{200} = 0.11[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.11 - 0.08}{\sqrt{\frac{0.08(0.92)}{200}}}[/tex]
[tex]z = 1.6[/tex]
A similar problem is given at https://brainly.com/question/24166849
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion. x=x-5
Answer:
no solution
Step-by-step explanation:
X cannot equal itself minus 5, in the same way if we replace it by let's say, 6...
6 does not equal 6-5 (1)........ and by the way in this specific equation 6 is just an example it does not matter what you replace it with, x can never = x-5
Hope this helped! Good Luck!
Translate the algebraic expression into a verbal (word) phrase: 2(x + 5)
Answer:
a number plus five times two
Step-by-step explanation:
a number plus five times two
A food truck sells tacos $1.25 a piece. The truck operator earned $360.00 last night.
How many tacos did the food truck sell last night?
28.8 tacos
288 tacos
300 tacos
2.88 tacos
Answer:
288
Step-by-step explanation:
Each taco is 1.25 dollars and you are trying to figure out how many tacos he sold to do this we make an equation.
Step 1
1.25 x = 360
x =is the amount of tacos sold.
Step 2
1.25 x = 360
/1.25 /1.25
to get x on its own we need to cancel out the 1.25 so we dived because it was multiplied to the x. we did the same on the other side to balance the equation.
Step 3
x = 288
we now need to identify what x is, we can see it is 288. If we trade x for what it means it is then this is your answer the amount of tacos sold=288
i hope this helps ;)
Mary loves to read. She reads almost everyday! On Monday, she read for 145 minutes . On Tuesday and Wednesday, she read for 459 minutes. How many minutes total has she read so far this week?
Answer:
604 minutes
Step-by-step explanation:
145+459=604
4(x - 2 + y) =4(x−2+y)=4, left parenthesis, x, minus, 2, plus, y, right parenthesis, equals
ill put in 50 brainly points
Answer:
x=4 and y=2
Step-by-step explanation:
The correct equation is,
⇒ y = - x + 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 4 (x - 2 + y) = 4
Now, Simplify the expression as;
⇒ 4 (x - 2 + y) = 4
⇒ x - 2 + y = 4/4
⇒ x - 2 + y = 1
⇒ x + y = 1 + 2
⇒ x + y = 3
⇒ y = - x + 3
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
7k + 5 – 2 = 7k + 3 0
Anyone sorry for so many i just need help
Answer:
K=27
Step-by-step explanation:
the answer is 27
At a sale, scarves are selling at $50.00 are sold at a loss of 60% of selling
price. What is the loss and the original cost?
Answer?
Answer: $30.00
Step-by-step explanation:
If 100% of 10.00=10.00 / 60% = $6.00
10 x 5 is 50, 6x5 is 30.
So..
60% of $10.00 = $6.00
X5 = $50.00 = $30.00
3y + 7 - y = 5 + 2y + 2
The Valdez family bought a Blu-ray player on sale. The original price was $120. They received a 12% discount. How much did the Valdez family pay for the Blu-ray player after the discount?
Answer:
$105.60
Step-by-step explanation:
I think...
If X is at most 30 find x
Answer:
x[tex]\leq[/tex]30
Step-by-step explanation:
X can be many possiblities
So we can write it out with a smaller than sign and an equal sign
So now it means that x has to be smaller than 30 or equal to 30
Given the polynomial function
f(x)=x^3-4x^2+x+6
Write the original polynomial function in factored form.
Will award brainliest
I think the answer is (x+1)(x-2)(x-3)
What is 0.4 as a decimal
Answer: 0.40 and 40%
Answer:
40%
Step-by-step explanation:
Find an nth-degree polynomial function
n= 3;
- 2 and 6 + 2 i are zeros;
f(-1)= 53
Answer:
Find an nth-degree polynomial function.
Step-by-step explanation:
n= 3;
- 2 and 6 + 2 i are zeros;
f(-1)= 53
what is the area of 5in and 1 1/3
Can someone help me find the coordinate??
Answer:
(2,4)Step-by-step explanation:
Midpoint =
[tex]( \frac{x_1+x_2}{2} \frac{y_1 + y_2}{2} )[/tex]
Endpoint :
[tex]x = \frac{x_1 + x_2}{2} \\ y = \frac{y_1 +y _2}{2} [/tex]
a scientist performs an experiment in which he begins with 45.9 grams of reactants. assuming he does not lose any because of spilling of error, what should be the mass of his product at the end of the reaction?
Answer:
45.9 grams of product
Step-by-step explanation:
you should never end up with more products or less products than reactants
take apart the addend to solve 48+23
Answer:
71
Step-by-step explanation:
just add the problem
will mark brainliest
please help me asap on this word problem! explain.
Answer:
The second one for both a and b.
Step-by-step explanation:
The first cereal box is:
8•3•11=264 inches cubed
the second cereal box is:
10•10•3=300 inches cubed
a. The box that holds more cereal would be the second one, since it has more volume.
b. The box that requires more material to make is the second one, since the it is bigger in volume, therefore, bigger in length and width.
A teacher is decorating her bulletin board. She needs boarder for the board. If the bulletin board has a length of 15 long and a width of 6 feet long
How much boarder does she need for the entire bulletin board?
Answer:
42
Step-by-step explanation:
When doing perimeter, you add all sides. 15+15+6+6=42
Answer:
1+1=2 2+2=4 4+4=8
Step-by-step explanation:
1+1=2 2+2=4 4+4=8
How many solutions does this equation have? 5 + 2(3 + 2x) = x + 3(x + 1) *
One Solution
Infinite Solutions
No Solutions
Answer:
no solutions
Step-by-step explanation:
Hi there!
Here is an answer:
[tex]5 + 2(3 + 2x) = x + 3(x + 1)\\11+4x=4x+3\\11=3,\;wrong[/tex]
Hope this helps)
Have a nice day!
Country A is ten to the third power times greater than Country B. Country A has a population of 230,000,000. What is the population Of Country B. Help Pls
Calculate 3cm ,4cm, 10cm and 2cm
Answer:
19cm
Step-by-step explanation:
(chose one way)
1. way using commutativity
(3cm+4cm)+(10cm+2cm)=7cm+12cm=19cm
2. way just writing
3cm+4cm+10cm+2cm=19cm
Approximately 41% of films are rated PG. If 950 films were recently rated, how many films were rated PG.?
Answer:
about 390
Step-by-step explanation:
you multiply 41% by the 950 and that's what you get
An accounting firm has 900 hours of on-the-clock staff time and 100 hours of reviewing time available to assign each week. The firm charges $300 for a tax return and $2000 for a small business audit. A small business audit requires 100 hours of staff time and 10 hours of review time. A tax return requires 12.5 hours of staff time and 2.5 hours of review time. In order to maximize their revenue for the week, how many small business audits and how many tax returns should the firm schedule? What is their maximum revenue for the week?
Constraints:
Objective Formula:
Answer:
The maximum revenue for the week is $19,000.
Step-by-step explanation:
Denote the variables as follows:
X = small business audit
Y = tax return
The maximizing function is:
Z = 2000·X + 300·Y
The maximizing function is subjected to the constraints:
100·X + 10·Y ≤ 900
10·X + 2·Y ≤ 100
0 ≤ X and 0 ≤ Y
The problem can be solved using the simples method as follows:
Let s and t be slack variables.
Initial:
x y s t b Basic
100 10 1 0 900 s (departing)
12.5 2.5 0 1 100 t
Z -2000 -300 0 0 0
(entering)
Step 1:
x y s t b Basic
1 1/10 1/100 0 9 x
0 1 -1/10 1 10 t (departing)
Z 0 -100 20 0 18000
(entering)
Step 2:
x y s t b Basic
1 0 1/50 -1/10 8 x
0 1 -1/10 1 10 y
Z 0 0 10 100 19000
(entering)
The optimal solution is:
X = 8
Y = 10
The maximum revenue for the week is $19,000.
A market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions
Answer:
The answer is "0.96562".
Step-by-step explanation:
please find the complete question which is defined in the attached file.
Given value:
[tex]\to p = 0.42 \\\\\to q = 1 - p[/tex]
[tex]= 0.58[/tex]
[tex]\to n = 400\\\\\to x = 150 \\\\\to P = \frac{X}{n}\\[/tex]
[tex]= \frac{150}{400}\\\\ = 0.377[/tex]
When:
[tex]\to P(P>0.375)\\\\[/tex]
[tex]=P(\frac{P-p}{\sqrt{ \frac{pq}{n}}}>\frac{0.375-0.42}{\sqrt{\frac{0.42 \times 0.58}{400}}})[/tex]
[tex]=P(Z>-1.82) \\\\=1-P(Z>1.82)\\\\=1-0.034380\\\\ =0.96562[/tex]
I need the right answers pls and tysmmm
Answer:
It's 21, you are correct!!
Step-by-step explanation:
Using the Smith's BBQ Report, liquor sales for both weeks account for approximately what percentage of beverage sales for both weeks?
A 50%
B 40%
C 30%
D 20%
Answer:d
Step-by-step explanation:
Shelton mixed one 1/4 cups of purple cabbage into 3/8 cups of lettuce to make a big salad each day he eats 3/4 of a cup of salad which expression shows how many servings salad Shelton has?
Answer:[tex](1\frac{1}{4} + 2\frac{3}{8} ) / \frac{3}{4}[/tex]
Step-by-step explanation:
Create and solve a quadratic equation that has 1 real solution
Answer:
x^2 - 4x + 4 = 0
x = 2
Step-by-step explanation:
(x - 2)(x - 2) = 0
x^2 - 2x - 2x + 4 = 0
x^2 - 4x + 4 = 0
The equation is:
x^2 - 4x + 4 = 0
It is a quadratic equation because of the x^2 term.
Now we solve it by factoring.
x^2 - 4x + 4 = 0
(x - 2)(x - 2) = 0
x - 2 = 0 or x - 2 = 0
x = 2 or x = 2
The only solution is x = 2.
A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening. Two independent samples of 25 weeks are collected for Tuesday and Wednesday. The mean attendance on Tuesday evening is calculated as 5,500, while the mean attendance on Wednesday evening is calculated as 5,850. The known population standard deviation for attendance on Tuesday evening is 550 and the known population standard deviation for attendance on Wednesday evening is 445. Which of the following is the value of the appropriate test statistic?A. z = -2.4736B. z = 2.4736C. tdf=−2.4736D. td f=2.4736
Answer:
A. z = -2.4736
Step-by-step explanation:
n1 = 25
n2 = 25
x1 = 5500
x2 = 5850
Sd1= 550
Sd2 = 445
Null hypothesis
μ1 - μ2 = 0
Alternate
μ1 - μ2 != 0
Pooled variance = ((25-1)*550²)+((25-1)*445²)/25+25-2
= 7260000+4752600/48
= 250262.5
Pooled sd = √250262.5
= 500.26243
Test statistic
Z =
5500-5850+10/500.26243*√1/25+1/25
= -2.47357 approximately
-2.4736