Finding the p-value of the test using the z-distribution, as we are working with a proportion, it is found that this was a significant difference for levels of significance of 0.02 and lower.
What are the hypothesis test?At the null hypothesis, we test if the proportion is of 50.3%, hence:
[tex]H_0: p = 0.503[/tex]
We have a two-tailed test, hence at the alternative hypothesis we test if the proportion is different, that is:
[tex]H_1: p \neq 0.503[/tex]
What is the test statistic?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.In this problem, the parameters are:
[tex]n = 300, \overline{p} = \frac{171}{300} = 0.57, p = 0.503[/tex]
Hence:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.57 - 0.503}{\sqrt{\frac{0.503(0.497)}{300}}}[/tex]
[tex]z = 2.32[/tex]
What is the p-value?Considering a two-tailed test, using a z-distribution calculator, the p-value is of 0.0203. Hence this was a significant difference for levels of significance of 0.02 and lower.
More can be learned about the z-distribution at https://brainly.com/question/26454209
Solve for x.
5x = 25
=
x = [?]
=
Rectangular rug has a perimeter of 3320 inches the length is 25 inches more than twice the width find the length and width of the rug
Answer:
length= 1115 inches
width= 545 inches
Step-by-step explanation:
The perimeter of the rectangular rug is the sum of the lengths of all its sides.
Start by defining the variables that we are going to use throughout our working.
Let the length and the width of the rug be L and W inches respectively.
Perimeter= 2(L +W)
Given that the length is 25 inches more than twice the width,
L= 2W +25 -----(1)
3320= 2(2W +25 +W)
Divide both sides by 2:
1660= 2W +W +25
1660= 3W +25
3W= 1660 -25
3W= 1635
Divide both sides by 3:
W= 1635 ÷3
W= 545
Substitute W= 545 into (1):
L= 2(545) +25
L= 1115
Thus, the length and width of the rug is 1115 and 545 inches respectively.
Which pair shows equivalent expressions?
2x + 10 = -2(x-5)
-2(x+5) = 2x-10
-2x-10 = -2(x+5)
-2(x-5) = -2x-10
Answer:
The 3rd equation, -2x-10 = -2(x+5)
Step-by-step explanation:
Equivalent expressions means both sides of the equal sign equal the same thing
To find which ones are equivalent expressions, we must solve/simplify both sides of each equation to see if they're actually equal to each other
We will use PEMDAS for this
1. 2x + 10 = -2(x - 5)
Start with Parentheses, and distribute the -2 to what's inside said parentheses
2x + 10 = -2x + 10
Not equal
2. -2(x+5) = 2x-10
Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses
-2x - 10 = 2x - 10
Not equal
3. -2x-10 = -2(x+5)
Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses
-2x - 10 = -2x - 10
Equal
4. -2(x-5) = -2x-10
Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses
-2x + 10 = -2x - 10
Not equal
Solve the following quadratic equations by any method. The solutions are:
f (x) = x 2 − 12x + 32
a.
(X - 4)(X - 8) this means that X = 4 and -8
b.
(X - 4)(X - 8) this means that X = -4 and -8
c.
(X - 4)(X - 8) this means that X = +4 and +8
d.
(X - 4)(X - 8) this means that X = -4 and +8
Answer:
Option C .
Step-by-step explanation:
We would like to solve the below quadratic equation ,
[tex]\longrightarrow f(x) = x^2-12x +32 [/tex]
Step 1 : Equate f(x) with 0 :-
[tex]\longrightarrow f(x) = 0\\[/tex]
[tex]\longrightarrow x^2-12x + 32=0[/tex]
Step 2 : Factorise the RHS :-
[tex]\longrightarrow x^2-8x - 4x +32=0\\[/tex]
[tex]\longrightarrow x(x-8)-4(x-8)=0\\[/tex]
[tex]\longrightarrow (x-8)(x-4)=0\\[/tex]
Step 3 : Equate each factor with 0 :-
[tex]\longrightarrow x - 8 = 0\\ \qquad x -4=0 [/tex]
[tex]\longrightarrow x = 8 \qquad x = 4 [/tex]
[tex]\longrightarrow \underline{\underline{\boldsymbol{ x = 8,4}}}[/tex]
Hence option C is correct .
a student sketched some art on an 8 inch x 10 inch piece if paper he wants to resize it to fit an 4 inch x 6 inch frame. What percent of the original sketch was still able to be included?
(someone asked this question but all the answers were wrong, so I am letting you know that the correct answer is 83.3%)
Answer:
83.3%
Step-by-step explanation:
Can someone help me with this please
Answer:
6.46 seconds
Step-by-step explanation:
[tex] - 16 {t}^{2} + 65t + 248 = 0[/tex]
[tex]t = 6.46[/tex]
In the diagram above, what is point F called relative to ABC?
Answer:
Circumcenter
Step-by-step explanation:
The center that is created by intersection of the three perpendicular bisectors of your triangle sides.
In Steven's grade, 1/3 of the students have a sister. Of the students who have a sister, 3/5 also have a brother. What fraction of the students in Steven's grade have both a sister and a brother?
Answer:
You are looking for 1/2 OF 2/3
In word problems such as this OF
means to multiply.
(1/2)(2/3) = 2/6 = 1/3
Step-by-step explanation:
Consider the equation − 7 x − 6 y = − 18
Answer: The answer is simply O
Step-by-step explanation: In this algebraic problems is very common to find an answer like that since you step to step process is basically canceling out the terms. We make disappear X and Y because that’s gonna count as a 1 unit value so don’t write x and y. It’s only 0
When spinning a penny, Claire believes the proportion of times the penny lands on heads is higher than 0.5. She spins a penny 50 times and it lands on heads 32 times. The P-value for the test of the hypotheses, H 0: p = 0.5, and H alpha: p greater-than 0.5, is 0.02, What is the correct interpretation of this value?
It depends on what the level of significance (alpha) is.
Since alpha is not stated, I'll assume that alpha = 0.05 by default.
Because the p-value is smaller than alpha, we reject the null hypothesis.
Therefore, we conclude that the alternative hypothesis is correct and the proportion of heads is greater than 0.5
which of the following is the equation of the one that passes through the point
Answer:
C
Step-by-step explanation:
the answer is C
( -6 , 1 )
y = -1/2x - 2
if x = -6
y = -1/2(-6) - 2
y = 3 - 2
y = 1
Write the system below in the matrix form by using matrix multiplication:
x − 2y + z = 7
2x − y + 4z = 17
3x − 2y + 2z = 14
help. will give brainliest. please hurry!!! <3
also, please explain how to get my answer. need to show work.
Help help help help
can someone please help me
Answer:
(2, 4)
Step-by-step explanation:
All you have to do is hop up 10 units on the grid from point P. 10 units up from -6 is 4. Therefore, your answer is (2, 4).
I hope this helps! Have a lovely day!! :)
Answer:
i belive its c
Step-by-step explanation:
you are shifting up 5 squares so you arrive at (2,4)
Choose the multiplication problem that correctly shows partial products.
A) A
B) B
C) C
Answer:
B) B
Step-by-step explanation:
In this case, the first partial product will be 2 * 5 which is 10. The only option that shows this is option B, so this is our answer.
We can also check the answers as a whole,
2 * 5 = 10
80 * 5= 400
400 + 1 = 410
Again, only option B gives us this. This is means that option B is our answer.
Answer:
B
Step-by-step explanation:
82
5
--
5 x 2 = 0 (carry 1)
5 x 8 + 1 = 1 (carry 4 to bottom)
Estimate by rounding each decimal to the nearest whole number. 5.85+23.24
Answer:
Step-by-step explanation:
What is the area of the figure below?
A. 16
B. 45
C. 51
D. None of these
Answer:
C. 51
Step-by-step explanation:
For Square:
Length x Height
7 x 6 = 42
For Triangle:
Base x Height x 1/2
(6x3)1/2 = 9
42 + 9 = 51
What angles are acute GFE mlk dbc dba
Answer:
d and a
Step-by-step explanation:
an acute is an angle less than 90 degrees. a 90 degree angle is a right angle (klm) the only 2 angles smaller than (klm) are (gfe) and (dba)
"When 85 is added to a number, the result is 45 more
than 6 times the number."
Answer:
136Step-by-step explanation:
85+45+6
136
this is solution ...
PLEASE HELP PLEASE PLEASE HELP
Answer:
Light
Step-by-step explanation:
Light can travel approximately 186,000 miles per second so the answer we are looking for in here is light.
NEED HELP ASAP The salaries of Nathan and Trisha are in the ratio of 5:9. Trisha's salary is £16800 more than Nathan's. Find Nathan's salary.
Answer:
From the ratio
The difference is 9 - 5 = 4
Hence Trisha has 4 units more than Nathan and this resulted to 16800
Therefore 1 unit will be
16800 / 4 = 4200
Nathan’s salary is 5 units
5 * 4200 = 21000
no spammers pls and also giving brainliest to correct answer
heresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests. What is the lowest score she can get on the fifth test and still finish with an average score of 90 points?
96 points
97 points
98 points
99 points
Answer:
99 points
Step-by-step explanation:
total of scores of 4 tests = 88 + 84 + 88 + 91 = 351
5 tests with an average score of 90:
⇒ total of scores = 5 × 90 = 450
Lowest score of 5th test = 450 - 351 = 99 points
Answer:
99 points
points scored:
88 points , 84 points, 88 points , 91 points, let the fifth test points be "n"
given score with an average 90 points[tex]\sf \rightarrow \dfrac{88 +84+88+91+n}{5} =90[/tex]
[tex]\sf \rightarrow 351+n =90 (5)[/tex]
[tex]\sf \rightarrow n =450-351[/tex]
[tex]\rightarrow \sf n = 99[/tex]
What is the radius r of a circle with the circumference C of length 48.6 m
Answer:
r = 24.3/π m
r = 7.73 m
Step-by-step explanation:
C = 2πr
48.6 m = 2 × π × r
r = 48.6/(2π) m
r = 24.3/π m
r = 7.73 m
Two of the interior angles of a triangle are 84.0° and 30.0. Find the measure of the
third interior angle in degrees to one decimal place.
Answer:
66.0°
Step-by-step explanation:
The sum of the measures of the interior angles in a triangle is 180°.
Let "x" represent the measure of the third interior angle. We can use this to set up an equation:
84.0° + 30.0° + x = 180°
Add like terms:
114.0° + x = 180°
Subtract 114.0° from both sides:
x = 66°
The question asks for the answer to be in degrees to one decimal place, therefore:
x=66.0°
Find all the common factors of 9 and 15.
A) 1, 3
B) 1, 3, 9
C) 1, 3, 5, 9
Answer:
A common factor is a whole number which is a factor of two or more numbers.
[tex]factors \: of \: 9 = 1 \times 3 \times 3[/tex]
[tex]factors \: of \: 15 = 1 \times 3 \times 5[/tex]
since both of the numbers have only 1 and 3 in common.
therefore ,
Option A is correct.
______________________________________
______________________________________
Additional information
★ The highest common factor (HCF) is the greatest factor that will divide into two or more numbers.
★ The lowest common multiple (LCM) is the smallest multiple that is common to two or more numbers.
hope helpful :D
Need help with his geometry question. Find the value of x
Hey there!
Answer: [tex] \Rightarrow \boxed{\sf{x = 25}}[/tex]
[tex] \rightarrow \sf{ \frac{x}{20} = \frac{30}{24} }[/tex]
[tex] \rightarrow \: \boxed{ \sf{24x = 600}}[/tex]
[tex] \rightarrow \: \boxed{ \sf{ \frac{24x}{24} = \frac{600}{24}}} [/tex]
[tex] \rightarrow \boxed{ \bold{\sf{ x = 25}}}[/tex]
Hopes this helps
Ciara, an ornithologist, has 444 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders. She recorded data for a sample of 350350350 recent visits. Here are the results: Feeder \#1#1\#, 1 \#2#2\#, 2 \#3#3\#, 3 \#4#4\#, 4 Observed visits 808080 909090 929292 888888 Ciara wants to perform a \chi^2χ 2 \chi, squared goodness-of-fit test to determine if these results suggest that birds visit one specific feeder more often than the other feeders. What is the expected count of visits to the third feeder? You may round your answer to the nearest hundredth.
The expected count of visits is the mean or average visits to each feeder
The expected count of visits to the third feeder is 87.5
How to determine the expected count of visit?The table of values is given as:
Feeder 1 2 3 4
Observed visits 80 90 92 88
In this case, the null hypothesis implies that the visits to each feeder are uniformly distributed
So, the expected count is calculated using:
Expected count =Visits/Feeders
This gives
Expected count = 350/4
Evaluate the quotient
Expected count = 87.50
Hence, the expected count of visits to the third feeder is 87.5
Read more about chi square goodness of fit test at:
https://brainly.com/question/4543358
A rectangle is shown with the area of 14/32 square in. Label two sides of the rectangle with appropriate fractions that would come up with the area of 14/32 square inches when multiplied together.
The dimensions of the rectangle that would have a value of 14/32 inches square are a length of 2/16 and a width of 31/2 inches.
What are the dimensions of the rectangle?
A rectangle is a 2-dimensional quadrilateral with four right angles that has a value of 360 degrees. It has two diagonals that bisect each other.
Area of a rectangle = length x width
2/16 x 7/2 = 14/32
To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449