The z test statistic needed for this hypothesis test is 0.75 .
Z test is a statistical test that is conducted on data that approximately follows a normal distribution. The z test can be performed on one sample, two samples, or on proportions for hypothesis testing. It checks if the means of two large samples are different or not when the population variance is known.
NOW,
sample proportion = p = x / n = 0.23
Test statistics
z = ( p - p0 ) / [tex]\sqrt{ p0*(1-p0)}[/tex] / n
= ( 0.23 - 0.20) / [tex]\sqrt{ (0.20*0.80) / 100}[/tex]
= 0.75
To know more about " Variation"
https://brainly.com/question/25215474
#SPJ4
if a round cake has 30 slices how many slices will represent an angle of 216°?
Answer:18
Step-by-step explanation:360/30=12
216/12=18
16 X +12 over two equals 100
The value of x in the given equation i.e [tex]\frac{16x+12}{2}=100[/tex] is 11.825
Given that equation [tex]\frac{16x+12}{2}=100[/tex] and asked to evaluate the value of x in the given equation
⇒ [tex]\frac{16x+12}{2}=100[/tex](given equation)
To solve the given equation, need to use the various mathematical operations i.e division and subtraction)
⇒8x+6=100 ( using the operation division)
⇒8x=100-6 (using the operation subtraction)
⇒8x=94
⇒x=[tex]\frac{94}{8}[/tex](using the operation division)
⇒x=11.825
By using the mathematical operations i.e division and subtraction the value of x came as 11.825
⇒Therefore, The value of x in the given equation i.e [tex]\frac{16x+12}{2}=100[/tex] is 11.825
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ9
The number of girls is 17 less than twice the number of boys. Right an equation about this description.
Answer:
g = 2b - 17
Step-by-step explanation:
Girls = g
Boys = b
g = 2b - 17
Both my numerator and denominator are even numbers and their sum is 68 i am equivalent to 7/10 what fraction am i
put r^(2 )-15 = t+19 into a sentance
The difference between the square of the numbers 'r' and 15 is the same as the sum of the numbers 't' and 19.
How to convert the equation into a sentence?The act of converting mathematical equations into a specified statement is known as equation to sentence transformation.
The mathematical equation is given below.
r² - 15 = t + 19
In the above equation, there are two variables that are 'r' and 't'. Then the mathematical equation can be converted into a sentence as,
The difference between the square of the numbers 'r' and 15 is the same as the sum of the numbers 't' and 19.
More about the conversion of an equation into a sentence link is given below.
https://brainly.com/question/10606712
#SPJ1
The required expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
What is a word sentence?
A mathematical sentence makes a statement about two expressions. The two expressions either use numbers, variables, or a combination of both. A mathematical sentence can also use symbols or words like equals, greater than, or less than.
Given:
The given equation is
[tex]r^{2}[/tex]-15 = t+19
According to given question we have
The expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
Therefore, the required expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
Learn more details about here:
https://brainly.com/question/373961
#SPJ1
Given the inequality −6
The absolute value inequality is |x - 6| < 12 and the complete points are Midpoint = 6 and Distance = 12
How to complete the inequality?The inequality expression is given as
-6 < x < 18
The distance is calculated as:
Distance = |18 -(-6)|/2
Evaluate the difference
Distance = 12
The midpoint is calculated as:
Midpoint = 0.5 * (18 - 6)
Evaluate
Midpoint = 6
The absolute value inequality is represented as
|x - Midpoint| < Distance
So, we have
|x - 6| < 12
Hence, the absolute value inequality is |x - 6| < 12 and the complete points are Midpoint = 6 and Distance = 12
Read more about absolute value inequality at
https://brainly.com/question/13282457
#SPJ1
The probability that the interval estimation procedure will generate an interval that contains the actual value of the population parameter being estimated is the _____.
The population parameter being estimated is the confidence coefficient.
What is a confidence coefficient?The confidence coefficient is the confidence level stated as a proportion, rather than as a percentage. For example, if you had a confidence level of 99%, the confidence coefficient would be . 99. In general, the higher the coefficient, the more certain you are that your results are accurate.
probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Hence, The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the confidence coefficient.
To learn more about the confidence coefficient from the given link:
https://brainly.com/question/28315730
#SPJ4
Simplfyy -3x plus7y plus21y -21
Answer:
-3x + 28y - 21
Step-by-step explanation:
[tex]7y+21y=28y\\=-3x+28y-21[/tex]
• Add the similar factors and carry over the uncommon factor, -3x.
What is an equation of the line that passes through the points (-6, 6) and (-3, 1)?
Answer:
5x + 3y = 18
Step-by-step explanation:
First find slope. m = (y2 - y1)/(x2 - x1) = (6 -1)/(-6 --3) = 5/-3
then. use. y - y1 =. m (x - x1). which gives. y - 1 = -5/3(x - 3)
then. y - 1 = -5/3x + 5
then y = -5/3 x + 6. or. 5x + 3y = 18
A line passes through the point(9,-8)
and has a slope of-2/3. Write an equation in slope-intercept form for this line.
.
KJSAnflkadfalkdmnfaldskjfnasd...
Passes through (-3,2) and perpendicular to the line containing (2,3) and (1,-2)
Answer:
(1,-2)
Step-by-step explanation:
Passes through (-3,2) and perpendicular to the line containing (2,3) and
Solve the proportion.
4/5= y/7 what is y
Answer: Exact Form: 28/5
Step-by-step explanation:
Answer:
y = 28/5
Step-by-step explanation:
Let's solve the problem,
→ 4/5 = y/7
→ y = 7 × (4/5)
→ [ y = 28/5 ]
Hence, the value is 28/5.
Point (w, z) is transformed by the rule (w 5, z) . what type of transformation occurred?
Scaling transformation onto the x co ordinate by a factor of 5.
What is a co-ordinate system ?A co-ordinate system represents two points one for x axis and another for y axis in a ordered pair (x,y)
According the given question Point (w, z) is transformed by the rule (w5, z).
Here w represents x co-ordinate points and z represents y co-ordinate points.
We can observe that the x co-ordinate point have been scaled by a factor of 5.We can think of that after this transformation the line has become less steeper from origin.
learn more about transformation here :
https://brainly.com/question/11709244
#SPJ4
Practice & Problem Solving C 8. 8. Leveled Practice Find the rational approximation of V15. a. Approximate using perfect squares.
please help, I need answers asap due tonight
The approximation for the square root of 15 is given as follows:
9 < 15 < 16.3 < sqrt(15) < 4.How to approximate a square root by perfect squares approximation?To approximate the square root of a number x by perfect square approximation, we have to find two numbers:
The greatest integer less than x that is a perfect square, which we call a.The smallest integer greater than x that are perfect squares, which we call b.Then, the square root of x will be on a compound interval between a and b.
For this problem, we have that:
3² = 9.4² = 16.Hence, the approximation for the square root of 15 is given as follows:
9 < 15 < 16.3 < sqrt(15) < 4.More can be learned about perfect squares approximation at https://brainly.com/question/27307830
#SPJ1
a sequence of natural numbers is constructed by listing the first 4, then skipping the next 5, skipping 2 listing 6, skipping 3, and, on the nth iteration, listing n 3 and skipping n. the sequence begins 1,2,3,4,6,7,8,9,10,13. what is the 500,00th number in the sequence?
The 500,00th number in the sequence = 98828
What is sequence?A sequence is a numbered collection of objects where repeats are permitted and order is important. It has members, just like a set. The length of something like the sequence is defined as the number of items.
According to the given data:here n^th iteration n+3 element are listed and n element are skipped.
now before nth iteration total skipped natural number : 1+2+3+.........n-1
= n(n-1)/2
now after completion of nth iteration total listed natural number = 4+5+6+.....n+3
= ((n+3)(n+4)/2)-6
to find 50000th number total listed element must be greater than or equal to 50000.
((n+3)(n+4)/2)-6 ≥ 50000
(n+3)(n+4) ≥ 100012
n = 313
total skipped before 313th iteration
=( 313 * 312)/2
= 48828
total listed before 313th is 48828.
listed after 312th iteration
= ((315)(316))/2)-6
= 49764
total number remaining for 50000
= 50000 - 49764
= 236
total number passed.
skipped+ listed
= 48828 + 49764
= 98592
50000th element = 98592 + 236
= 98828
The 500,00th number in the sequence = 98828
To know more about sequence visit:
https://brainly.com/question/21961097
#SPJ4
which set of points are collinear? d, s, y startfragment, d, s, y, p, t, y startfragment, p, t, y, y, d, h startfragment, y, d, h, h, t, s
The set of points (A) P, T, and Y are collinear.
What are collinear points?Collinear points are those that are on the same straight line or in the same plane. In Euclidean geometry, two or more points on a line that is close to or far from each other are said to be collinear.In general, three points A, B, and C are collinear if the sum of the lengths of any two line segments between AB, BC, and CA equals the length of the remaining line segment, that is, AB + BC = AC, AC +CB = AB, or BA + AC = BC.In response to the question -
Only one set of points - (P, T, Y) - can be seen to be on the same straight line. One of the options mentioned is - (P, T, Y).Therefore, the set of points (A) P, T, and Y are collinear.
Know more about collinear points here:
https://brainly.com/question/24391959
#SPJ4
The correct question is given below:
Which set of points is collinear?
(A) P, T, Y
(B) D, S, Y
(C) H, T, S
(D) Y, D, H
Researchers wanted to determine if there was an association between the level of happiness of an individual and their risk of breast cancer. The researchers studied 1813 people over the course of 5 years. During this 5-year period, they interviewed the individuals and asked questions about their daily lives and the hassles they face. In addition, hypothetical scenarios were presented to determine how each individual would handle the situation. These interviews were videotaped and studied to assess the emotions of the individuals. The researchers also determined which individuals in the study experienced any type of breast cancer over the 9-year period. After their analysis, the researchers concluded that the happy individuals were less likely to experience breast cancer. (a) What type of observational study was this? Explain. (b) What is the response variable? What is the explanatory variable?
The answers to all the subparts of the question are shown below.
What is an observational study?An observational study is used in fields such as epidemiology, social sciences, psychology, and statistics to draw conclusions from a sample to a population where the independent variable is not under the researcher's control due to ethical concerns or logistical constraints. One common observational study is about the potential effect of a treatment on subjects, where the assignment of subjects to a treated versus a control group is beyond the investigator's control.(A) What type of observational study was this?
Because all information about the individuals was gathered at one point in time, this was a cross-sectional study.(B-1) What is the response variable?
Whether or not the woman has IDC breast cancer is the response variable. The qualitative response variable is used.(B-2) What is the explanatory variable?
Whether or not the woman has IDC breast cancer is the explanatory variable.Therefore, the answers to all the subparts of the question are shown.
Know more about observational studies here:
https://brainly.com/question/14393640
#SPJ4
In determining whether a process is in statistical control, the _____ should be analyzed first.
In determining whether a process is in statistical control, the R-chart should be analyzed first.
Given that, in determining whether a process is in statistical control, the _____ should be analyzed first.
What is statistical control?A quality control technique called statistical process control uses statistical techniques to monitor and manage a process. This makes it possible to maintain an effective process that generates more products that meet specifications while using less trash.
When measuring small subgroups (n 10) from a process at regular intervals, an R-chart is a sort of control chart that is used to track the process variability (as the range). The value of a subgroup range is represented by each point on the chart.
Therefore, in determining whether a process is in statistical control, the R-chart should be analyzed first.
To learn more about statistical control visit:
https://brainly.com/question/17150305.
#SPJ4
Find the volume of the solid. PLEASE HELPPPPPPPP
Answer:
V≈743.25
Step-by-step explanation:
V=5
12tan(54°)ha2=5
12·tan(54°)·4·182≈743.24624
A group of friends enjoys playing miniature golf together. here are a set of final scores from a recent outing: 39, 41, 44, 50, 54, 56, 56, 56, 61 what is the mode?
The mode is the most common value in a set of data values then the mode of the given set of data is 56.
What is a mode?The mode is the most common value in a set of data values. If X is a discrete random variable, the mode is the x value at which the probability mass function maximizes. In other words, it is the most likely value to be sampled.
The most common number, or the number that appears the most frequently. Example: Since the number 2 occurs three times, more than any other number, it is the mode of the sequence "4, 2, 4, 3, 2, 2."
Let the given data be 39, 41, 44, 50, 54, 56, 56, 56, 61
The mode is the most common value in a set of data values.
Then the mode of the given set of data is 56.
To learn more about mode, refer to:
https://brainly.com/question/14532771
#SPJ4
PLEASE HELP ASAPPP !! WILL GIVE BRAINLIEST AND 5 STAR RATINGGG
Answer:
5/6
Step-by-step explanation:
I CAN SOLVE PROBLEMS.
5. Create an equivalent expression using the
additive inverse property.
-17- (25)
-17-25
6. Divide
debelow and determine if it will
terminate or repeat
The equivalent expression using the additive inverse property is -17- 25
How to create an equivalent expression using the additive inverse property?The expression is given as:
-17- (25)
The additive inverse property states that:
-x + x = 0
This also states that
-(x) = -x
Using the above as a guide, we have the following equation
-17- (25) = -17- 25
Hence, the equivalent expression using the additive inverse property is -17- 25
Read more about inverse property at
https://brainly.com/question/9015927
#SPJ1
What will these look like?
Answer:
Step-by-step explanation:
Find the value of x and YZ if Y is between X and Z.
XY = 12, YZ = 2x, and XZ = 28
Answer:
x = 8 and YZ = 16
Step-by-step explanation:
since Y is between X and Z , then
XY + YZ = XZ , that is
12 + 2x = 28 ( subtract 12 from both sides )
2x = 16 ( divide both sides by 2 )
x = 8
and YZ = 2x = 2 × 8 = 16
Paul started work at company B ten years ago at the salary shown in the table. At the same time Sharla started at company C at the salary shown in the table. Who earned more during the last year? How much more? *picture included*
go ask God bro ain't nobody know that
Select the set of ordered pairs that does not satisfy the requirements of a function.
O {(1, 1), (2, 2), (3, 3), (4,4)}
O {(1,4), (2,4), (3, 4), (4,4)}
O {(1, 1), (1, 2), (1, 3), (1,4)}
O {(1, 2), (2, 3), (3, 4), (4,1)}
A relation will be only a function if and if only for every single value of x there must be only one output thus {(1,1),(1,2), (1,3), (1,4)} will not be a function, therefore, option (C) will be correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
Given the coordinates,
In option (B) {(1,4),(2,4),(3,4),(4,4)} in this for y = 4 → x = 1,2,3,4 so it will be a function becuase for every single x value there is a single y value but for a single y value, there could be two x.
In option (D) {(1,1),(1,2), (1,3), (1,4)} for x = 1 → y = 1,2,3,4 so it will not a function.
Hence "{(1,1),(1,2), (1,3), (1,4)} will not be a function".
For more about the function,
brainly.com/question/23712366
#SPJ2
2 ( x + a ) = 4b explain how i solve this not the answer how to sovle it please
Answer:
x = 2b - a
Step-by-step explanation:
2(x + a) = 4b
2x + 2a = 4b
x + a = 2b
x = 2b - a
I think this question is incomplete
Solve the following equation for a. a - 32 = 47
Answer:
a=79
Step-by-step explanation:
you just have to make "a" the subject of the formula so as to solve for "a"
a=47+32=79
Use the numbers 1,2,3,4,5,6 to fill in the circles to make the equations true. Use each number once.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Select the domain and range of the graph in set-builder and interval notation.
The domain of the function:{x|x<-1 and x>1} or (-∞,-1] ∪[1,∞) and the range of the function {y|y∈R} or (-∞,∞) .
A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.
In the given graph we can see that the values of x are all real values greater than 1 and all real values less than 1
Therefore the domain of the function is set-builder notation is given by:
{x|x<-1 and x>1}
The domain of the function in interval notation is given by:
(-∞,-1] ∪[1,∞)
Therefore the range of the function is set-builder notation is given by:
{y|y∈R}
The range of the function in interval notation is given by:
(-∞,∞)
To learn more about domain and range:
https://brainly.com/question/28135761
#SPJ9
