Answers
Letter A.
Related Questions
Six times the sum of a number and 5 is 2
Answers
Answer:
Here's the sentence in an equation: 2 = 6(x + 5)
A politician claims that he is supported by a clear majority of voters. In a recent survey, 38 out of 60 randomly selected voters indicated that they would vote for the politician. (You may find it useful to reference the z table.)
a. Select the null and the alternative hypotheses.
multiple choice 1
H0: p = 0.50; HA: p ≠ 0.50
H0: p ≤ 0.50; HA: p > 0.50
H0: p ≥ 0.50; HA: p < 0.50
b. Calculate the sample proportion. (Round your answer to 2 decimal places.)
c. Calculate the value of test statistic. (Round final answer to 2 decimal places.)
d. Find the p-value.
multiple choice 2
0.025 p-value < 0.05
0.05 p-value < 0.10
p-value 0.10
p-value < 0.01
0.01 p-value < 0.025
e. At the 5% level of significance, what is the conclusion?
multiple choice 3
Do not reject H0; the politician’s claim is not supported by the data.
Do not reject H0; the politician’s claim is supported by the data.
Reject H0; the politician’s claim is not supported by the data.
Reject H0; the politician’s claim is supported by the data.
Answers
Testing the hypothesis for the proportion, it is found that:
a) H0: p ≤ 0.50; HA: p > 0.50
b) The sample proportion is [tex]\pi = 0.6333[/tex].
c) The test statistic is [tex]z = 2.07[/tex].
d) The p-value of the test is of 0.0192.
e) Reject H0; the politician’s claim is supported by the data.
Item a:
At the null hypothesis, we test that the politician does not have the majority, thus:
[tex]H_0: p \leq 0.5[/tex]
At the alternative hypothesis, we test that he/she does have the majority, thus:
[tex]H_1: p > 0.5[/tex]
Item b:
38 out of 60, thus:
[tex]\pi = \frac{38}{60} = 0.6333[/tex]
The sample proportion is [tex]\pi = 0.6333[/tex].
Item c:
The test statistic is:
[tex]z = \frac{\pi - p}{\sqrt{\frac{p(1 - p)}{n}}}[/tex]
For this problem, [tex]\pi = 0.6333, p = 0.5, n = 60[/tex], thus:
[tex]z = \frac{0.6333 - 0.5}{\sqrt{\frac{0.5(0.5)}{60}}}[/tex]
[tex]z = 2.07[/tex]
The test statistic is [tex]z = 2.07[/tex].
Item d:
The p-value of the test is the probability of finding a sample proportion above 0.6333, which is 1 subtracted by the p-value of z = 2.07.
Looking at the z-table, z = 2.07 has a p-value of 0.9808.
1 - 0.9808 = 0.0192
The p-value of the test is of 0.0192.
Item e:
The p-value of the test is of 0.0192 < 0.05, thus, his claim is supported by the data, and we reject the null hypothesis. Then, the correct option is:
Reject H0; the politician’s claim is supported by the data.
A similar problem is given at https://brainly.com/question/24166849
A group consisting of 6 people is to be selected from eight parents and four teachers.
Find the probability of selecting three parents and three teachers.
Answers
Answer:
9/32 or 0.28125
Step-by-step explanation:
8 parents and 4 teachers
There are 12 possible outcomes.
probability = # of favorable outcomes / # of possible outcomes
Let's do the teachers first.
There are 4 teachers, and we are finding the probability for 3 of them being picked.
Therefore,
P = 3/4
Now let's do the parents.
There are 8 parents, and we want 3.
Therefore,
P = 3/8
Now, we do [tex]\frac{3}{4} *\frac{3}{8} = \frac{9}{32}[/tex]
Therefore, the chance of 3 teachers and 3 parents being picked out of 4 teachers and 8 parents is 9/32, or in decimal form 0.28125.
Hope this helped!
fx) varies directly with x and f(x) = 50 when x = -10, then what is f(x) when x = 15?
Answers
Answer:
f(x)=-75
Step-by-step explanation:
since f(x) varies directly with x
it implies that f(x)=Kx
k=f(x)/x
when f(x)=50 and x=-10
k=50/-10
k=-5
but when x=15, f(x)=-5×15
f(x)=-75
Pls help meeee and if y’all want give me yalls snap or sum cus I need more help
Answers
Answer:
30+10 which equals 40
Step-by-step explanation:
jsdghwhi
Please help me out, im struggling with this one
Answers
Answer:A
Step-by-step explanation:
Need help on this, what is the correct name for this number?
Answers
Answer:
I believe its the third one
Hope my answer helped u :)
Simplify:
A)
B)
C)
D)
8y - 2 - 3(y – 4)
lly - 6
5y - 6
5y - 14
5y + 10
I
36a
Write the fraction in lowest terms:
Please help. I’m reviewing algebra and i have no memory of this.
Answers
5y + 10
step by step :
8y - 2 - 3 ( y - 4)
8y - 2 -3y + 12
8y - 3y - 2 + 12
3y + 10
for science project, you want to dispaly 36 rocks in row, with the same number of rocks in each row find the arrangement that you can use
Answers
Answer:
1 row with 36 rocks in them
2 rows with 18 rocks in them
3 rows with 12 rocks in them
4 rows with 9 rocks in them
6 rows and 6 rocks in each one
9 rows with 4 rocks in them
12 rows with 3 rocks in them
18 rows with 2 rocks in them
36 rows with 1 rock in them
Step-by-step explanation:
Just find what can be multiplied to 36 and you get your answer! (without a decimal)
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
4 x 3 + 4 x 2 + 13 x + 6 4x 3 +4x 2 +13x+6 is divided by 2 x + 1 2x+1.
Answers
Answer:
If you are trying to simplify this then the answers 304 + 13x
Step-by-step explanation:
Solve this. get Brainliest for CORRECT answer. And a thanks. And 5 stars.
Answers
9514 1404 393
Answer:
D
Step-by-step explanation:
The absolute value function has its vertex at (1, 3). It is scaled by a factor of -2, so its transformation of the parent function f(x) = |x| will be ...
-2f(x -1) +3 = -2|x -1| +3
This represents the left side of the equation you're seeking.
The right side equation is the equation of a line with slope 2/5 and y-intercept -2.2 = -11/5.
The equation that has both the left side and the right side correct is ...
D. -2|x -1| +3 = 2/5x -11/5
If you help me thank you so much I appreciate you
Answers
Answer:
Alek can be annoying some times and I understand
Step-by-step explanation:
The answer should be 13.2
84.6-5.4 = 79.2
79/6 = 13.2
Which of the following functions represent exponential decay? f(x)=3(1.7)^x-2
f(x)=3(1.7)^-2x
F(x)=3^5(1/4)^x
F(x)=3^5(2)^-x
Answers
Answer:
F(x)=3^5(1/4)^x
Step-by-step explanation:
By the exponential decay definition: y = ab×
b determines the rate at which the graph grows: if b > 1, the function will increase. if 0 < b < 1, the function will decrease.
There is only (1/4)ˣ : where 0<1/4<1 fit the definition, so F(x)=3^5(1/4)^x is the choice
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But.. look at the table attached, the f(x)=3(1.7)^-2x and F(x)=3^5(2)^-x also showed pattern of decay. It can verified from their graphs. (Try plot it with your calculator)
Answer:
B, C, D
Step-by-step explanation:
f(x)=3x-1 and g(x)=x+2, find (f-g)(x)
A. 2x-3
B. 2x-1
C. 4x+1
D. 3-2x
Answers
Work Shown:
(f - g)(x) = f(x) - g(x)
(f - g)(x) = (3x-1) - (x+2)
(f - g)(x) = 3x-1 - x-2
(f - g)(x) = (3x-x) + (-1-2)
(f - g)(x) = 2x-3
Question In The Screenshot
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B=6
You are very welcome
I’m doing the same kind of Homework right now
Can somone llsss hell plssss
Answers
Answer:
D
Step-by-step explanation:
a hearty breakfast cause it sound more better
City Cab Taxi charges a $2.95 flat rate for a ride in the cab in addition to that they charge $0.50 per mile Katie has no more than $25 to spend on a ride at most how many miles can KD Travel without exceeding her spending limit
Answers
Answer:
44 miles
Step-by-step explanation:
25-2.95
22.05
22.05/0.5
They can go 44 miles
She can travel 44.1 miles at most.
What is inequality?Inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Let Katie can travel [tex]x[/tex] miles
[tex]2.95 + 0.50x\leq 25[/tex]
[tex]0.50x\leq 25-2.95[/tex]
[tex]x\leq 44.1[/tex]
She can travel 44.1 miles at most.
Find out more information about inequality here
https://brainly.com/question/20383699
#SPJ2
17. Part A
How can you round 955,555 two different ways to get the same rounded number?
Answers
Answer:
Round it to 1,000,000 or 956,000
Step-by-step explanation:
If the rectangle below is enlarged by a scale factor of 1.5, what will be the area of the new rectangle?
Answers
new area=l x b
=6x9
=54units^2
Sigma notation of 8+4+2+1+1/2+…
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Answer:
-1 have a great day ahead
Help I’ll mark you brainlist
Answers
Answer:
it says you did it already
Step-by-step explanation:
insta dfl.jacob messeage for help
1. What is the degree? *
For the polynomial 10x2 – 8x4 + x3 +5,
Your answer
Answers
We know, the exponent of the highest degree term in a polynomial is known as its degree.
Here, the highest power is 4.
So, the degree of the polynomial is 4.
Answer:
4
Step-by-step explanation:
The degree of any polynomial is the highest power contained by the variable. In the given polynomial, the highest power of x is 4. Hence, 4 is the degree of the polynomial.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807i don't know how to do math lol
Answers
Answer:
6.5 I'm not sure
Step-by-step explanation:
y=mx+b m= rise/run = change in Y/change in x/ b= y-intecept.
Answers
Answer:
y = -[tex]\frac{2}{8}[/tex] + 5
Step-by-step explanation:
You have all that you need
(y = mx+b, m= rise/run which is the change in y/change in x, b = y-intercept.)
so now we just need to put it to use!
Let's take y = mx + b and break it into two parts. We need the b and the m. The b is easier, because we can conclude by looking at the graph it is equal too 5. Here is our equation so far:
y = mx + 5
Now we need to solve for m:
[tex]\frac{rise}{run} = \frac{2}{8}[/tex]
The line is going dowards, so the slope (m) is negative.
Here is our final answer:
y = -[tex]\frac{2}{8}[/tex] + 5
How many gallons of gas did I Maria use?
Answers
Answer:
tyler used is 17.04 and maria used 6.2
is 1020591 answer
What is the slope between (-14,-12),(7,17)
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Answer:
[tex]let, slope=m[/tex]
[tex]Therefore,m = 29 / 21 = 1.38095[/tex]
Answer:
Slope ≈ 1.38
Step-by-step explanation:
GIVEN :-
(x₁ , y₁) = (-14 , -12)(x₂ , y₂) = (7 , 17)TO FIND :-
Slope between the given pointsSOLUTION :-
Formula for slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using this formula ,
[tex]Slope = \frac{17 - (-12)}{7 - (-14)}[/tex]
[tex]= \frac{17 + 12}{7 + 14}[/tex]
[tex]= \frac{29}{21}[/tex]
[tex]= 1.38 (appx.)[/tex]
Which of the following are in the range of the function graphed below? Check all that apply.
A. 0
B. -1
C. 6
D. -4
E. 2
F. 1
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How to know domain and range from co-ordinate pairs?
If a pair be (x,y) then x is domain and y is range .Here range of graph is
[tex]\\ \sf\longmapsto y\in\{-2,3\}[/tex]
Hence answers are
-1,0,1,2A soap manufacturer advertises that it has increased the size of their bottle of
dishwashing soap to 18,4 ounces, which is 5% more than the original size,
What is the original size of the bottle?
Round your answer to the nearest tenth
Answers
The original size of the bottle is 17.5 ounces.
The soap manufacturer has increased the size of his bottles. This means that 18.4 ounce bottle is bigger than the original size of the bottle. The bottle was increased by 5%, this means that the new bottle is 105% (100% + 5%) bigger than the initial size of the bottle.
To determine the original size of the bottle, this formula would be used:
New bottle size / total percentage increase in the bottle = initial size of the bottle
18.4 / 1.05 = 17.5 ounces
A similar question was answered here: https://brainly.com/question/24666000?referrer=searchResults
The original size of the bottle is 17.5 ounces.The soap manufacturer has increased the size of his bottles. This means that 18.4 ounce bottle is bigger than the original size of the bottle. The bottlewas increased by 5%, this means that the new bottle is 105% (100% + 5%) bigger than the initial size of the bottle. To determine the original size of the bottle, this formula would be used: New bottle size / total percentage increase in the bottle = initial size of the bottle 18.4 / 1.05 = 17.5 ounces.
Read the story. Barry is on the school tennis team. At practice yesterday, he did 3 forehand strokes for every 2 backhand strokes. Pick the diagram that models the ratio in the story. Barry did 50 strokes when he practiced yesterday, and all were either forehand or backhand. How many backhand strokes did he do?
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What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
85 points -
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Answer:
y ≥ -1/2x + 2y > 2x - 3Step-by-step explanation:
Find equations of each line using two points on each and then determine the inequalities.
Line 1Points
(0, 2) and (2, 1)The slope is:
m = (1 - 2)/2 = -1/2The y -intercept is 2.
The line is:
y = -1/2x + 2The shaded region is to the right and the line is solid, so the inequality is:
y ≥ -1/2x + 2Line 2Points:
(0, -3) and (2, 1)The slope is:
m = (1 - (-3))/2 = 2The y- intercept is -3The line is:
y = 2x - 3The shaded region is to the left and the line is not solid, so the inequality is:
y > 2x - 3