Answer:
BC
Step-by-step explanation:
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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.
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
Find the slope of the line graphed below.
Which logarithmic function is shown in the graph?
Answer:
the answer is a = log2(x - 1) + 2
1. What is the degree? *
For the polynomial 10x2 – 8x4 + x3 +5,
Your answer
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!
~AH180717. Part A
How can you round 955,555 two different ways to get the same rounded number?
Answer:
Round it to 1,000,000 or 956,000
Step-by-step explanation:
What is the slope between (-14,-12),(7,17)
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]
There are five envelopes on a table. Four of the envelopes are marked 8, 2, 4 and 1. You are told that the mean of the numbers on the envelopes is 4. What is the number on the fifth envelope?
Answer: 16
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
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
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
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!
The price of an item has risen to $186 today. Yesterday it was $120 find the percentage increase
Answer:
55%
Step-by-step explanation:
180-120=66
66/120 = 0.55
55%
The perimeter of an isosceles triangle is at most 27 cm. The base is 8 cm long. Find the possible lengths of the two congruent sides.
Answer:
9.5
Step-by-step explanation:
I did it
sorry if its wrong
Factor 40r^3-156r^2+108r
Answer:
4r(10r-9)•(r-3)
Steps:
[tex]40r^{3}-156r^{2}+108r[/tex]
[tex]4r(10r^{2}-39r+27)[/tex]
4r(r•(10r-9)-3(10r-9)
4r(10r-9)•(r-3)
Pls help meeee and if y’all want give me yalls snap or sum cus I need more help
Answer:
30+10 which equals 40
Step-by-step explanation:
jsdghwhi
please help me do it
34,456,234 in expanded notation
Step-by-step explanation:
34,456,234 in expanded notation equals 30 000 000 + 4 000 000 + 400 000 + 50 000 + 6 000 + 200 + 30 + 4
Hope this helps, please mark BRAINLIEST.
the the product of 334 and k decreased by 68 is 65
Answer:
Step-by-step explanation:
334k - 68 = 65
+ 68 +68 Add 68 because addition is the opposite of subtraction.
334k = 133 Simplify
/334 /334 divide by 334 because it is the opposite of multiplication.
k = 0.39820359281
How many gallons of gas did I Maria use?
Answer:
tyler used is 17.04 and maria used 6.2
is 1020591 answer
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.
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!
PLS HELP ME UNDERSTAND THIS!!
Answer:
[tex] \frac{ - (5.8 - 3(3.2))}{ {( - .2)}^{2} } + 3 \\ = \frac{ - (5.8 - 9.6)}{.04} + 3 \\ = \frac{ - ( - 3.8)}{.04} + 3 \\ = \frac{3.8}{.04} + 3 \\ = 95 + 3 \\ = 98 \\ thank \: you[/tex]
Answer:
Below
Step-by-step explanation:
First we will evaluate the brackets (BEDMAS)
- (5.8 - 9.6) / (-0.2)^2 + 3
- ( -3.8 ) / ( 0.04) + 3
Because there is a negative sign on both the outside and inside of a bracket, that number becomes positive
( 3.8 ) / ( 0.04 ) + 3
Calculate this :
= 95 + 3
= 98
Hope this helps! Best of luck <3
Six times the sum of a number and 5 is 2
Answer:
Here's the sentence in an equation: 2 = 6(x + 5)
21. A dollar bill is 6.62947 centimeters wide. What is the width, rounded to the nearest
thousandth of a centimeter?
A 6.6000 centimeters
C. 6.6294 centimeters
B. 6.6290 centimeters
D. 6.6295 centimeters
Answer: B
Step-by-step explanation: 6.629
^
The Thousandth place
Please help with this I just wanna make sure I’m correct.
Answer:
image c is formed by reflection of the letter w
y=mx+b m= rise/run = change in Y/change in x/ b= y-intecept.
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
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
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
1. y= 1/3x +
=
-3
0
-6
3
6
X
y
Answer:
See table.
Step-by-step explanation:
y = (1/3)x + 1
See the attached table. Since there are two steps in the calculation, we can break it down into 2 columns on the spreadsheet.
First, multiply x by (1/3)
Second, add 1 to each value from the first step.
x (1/3)x Add 1
-6 -2 -1
-3 -1 0
0 0 1
3 1 2
6 2 3
What transformations take place by graphing the function below in respect to its parent function? Check all that apply.
Answer:
y = x² is the parent
y = 3/2(x+7)²+2 shifts 7 u left, up 2 u, and has vertical compression
Answer:
Right 7 unitsUp 2 unitsVertical StretchStep-by-step explanation:
Given the function, f(x) = 3/2(x + 7)² + 2,
where:
a = 3/2
vertex (h, k ) = (7, 2)
The value of a determines whether the graph opens up or down. The value of a also makes the parent function wider or narrower (vertical stretch by a factor of a ). If a > 1, the graph is narrower than the parent function. The value of h determines how far left or right the parent function is translated. If h is positive, the function is translated h units to the right. The value of k determines how far up or down the parent function is translated. If k is positive, the function is translated k units up.
Given these descriptions, we can assume that:
The function is vertically translated by 2 units upward. The function is horizontally translated by 7 units to the right.Vertical stretch by a factor of 3/2 (or 1.5).Please mark my answers as the Brainliest, if you find my explanations helpful :)
If you help me thank you so much I appreciate you
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 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
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
-1,0,1,2Solve this. get Brainliest for CORRECT answer. And a thanks. And 5 stars.
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
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.
5y + 10
step by step :
8y - 2 - 3 ( y - 4)
8y - 2 -3y + 12
8y - 3y - 2 + 12
3y + 10