The test-statistic (z-score) is 1.19984.
To find the test statistic (z-score) using the p-value, you will need to use the inverse of the standard normal cumulative distribution function (CDF), also known as the inverse normal function or the "normal inverse function." This function can be found using a calculator or a spreadsheet program with built-in functions, or you can use a table of standard normal probabilities to find the corresponding z-score for a given p-value.
For example, if the p-value is 0.05, you would look up the corresponding z-score in a table of standard normal probabilities and find that it is approximately 1.645. This means that the test statistic (z-score) for a p-value of 0.05 is 1.645.
It's important to note that this method only works for a one-tailed test, for a two-tailed test you need to divide your p-value by 2 and then use the inverse normal function.
so, the p-value is 0.1151, you would look up the corresponding z-score in a table of standard normal probabilities and find that it is approximately 1.19984.
Therefore, the test-statistic (z-score) is 1.19984.
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If the length of the rectangle in terms of x is 8x² +4x +7 and its width is 7x + 8, what is the perimeter of the rectangle?
Can anyone help me solve this
As per the given length and width, the perimeter of rectangle is 16x² + 22x + 39
In math the term perimeter of rectangle is defined as the length of the outline of a shape.
In order to find the perimeter of a rectangle or square you have to add the lengths of all the four sides, then the formula is written as,
=> P = 2(l + w)
here l refers length and w refers the width of the rectangle.
Here we have given that the length of the rectangle in terms of x is 8x² +4x +7 and its width is 7x + 8.
Then the perimeter is calculated as,
=> P = 2(8x² +4x + 7 + 7x + 8)
When we simplify the expression, then we get,
=> P = 2(8x² + 11x +15)
When we multiply 2 with the expression, then we get,
=> P = 16x² + 22x + 39
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hi can you see if this question answer a and b correct or not
Answer :
a=93
b=19
Step-by-step explanation:
For (a)
Triangle total angles = 180
So we have
40+57+x = 180
x= 180 - 97
x= 83
Now,
x+ a =180( straight Angel)
83+a = 180
a = 93
Or,
You can use exterior angle theorem:
The exterior angle of a triangle is equal to the sum of the two opposite interior angles
a = 40+57
= 93
For (b)
Using the exterior angle theorem
b+38 =57
b = 57 - 38
= 19
Answer:
The correct answer is a= 97°
b=19°
The distribution of SAT scores for college bound male seniors has a mean of 1512 and a standard deviation of
322. The distribution of SAT scores for college bound female seniors has a mean of 1486 and a standard deviation of
311. What is the probability that a randomly selected female senior will have a lower score than a male senior?
The probability that a randomly selected female senior will have a lower score than a male senior with a score of 1512 is approximately 0.788, or 78.8%.
What is the probability?
Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1. An event with a probability of 0 cannot occur, while an event with a probability of 1 is certain to occur.
To find the probability that a randomly selected female senior will have a lower score than a male senior, we need to use the standard normal distribution table, which gives the probability that a randomly selected value from a normal distribution with a mean of 0 and a standard deviation of 1 will be less than a certain value.
We can use the z-score formula to standardize the female senior's SAT score, which is given by:
z = (x - mean) / standard deviation
Where x is the female senior's SAT score, mean is the mean of the distribution of SAT scores for college bound female seniors, and standard deviation is the standard deviation of the distribution of SAT scores for college bound female seniors.
So the z-score for a female senior with a score of 1512 (the same as the mean of the male seniors) is:
z = (1512 - 1486) / 311 = 0.8
Looking at the standard normal distribution table, we can see that the probability that a value from a standard normal distribution is less than 0.8 is approximately 0.788.
Hence, the probability that a randomly selected female senior will have a lower score than a male senior with a score of 1512 is approximately 0.788, or 78.8%
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9. © MP. 6 Be Precise Mr. Meyer draws 110
a shape on the board. It has 4 sides of
equal length and 4 right angles. List all of
the names possible to describe the shape
Mr. Meyer drew.
The names possible to describe the shape Mr Meyer drew are square and rhombus.
A square is a quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, π/2 radian angles, or right angles).
A rhombus is a quadrilateral whose four sides are all the same length.
We know a square has 4 sides that are equal and 4 right angles.
And Its properties are acquired by the shape Rhombus with equal sides, and opposite sides that are parallel to each other and angles are of right angle (90 degrees).
And many Quadrilaterals have a right angle but not 4 equal sides.
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what is 10 1/2 % of 62
Answer: The answer is 6.51
Answer:
6.51
Step-by-step explanation:
10.5% to change to a decimal divide by 100%
.105 x 62 = 6.51
What are the variables in the expression 7x+4y+1?
Answer:
X and y are the variables in the expression
Step-by-step explanation:
Variables are letters that represent an unknown value
For example, x + 4 = 7
In this equation, x is the variable because it is letter representing the unknown value
⇒ In 7x+ 4y+1 , x and y are the variables in the expression
The sum of the measures of 4 out of the 6 interior angles in a hexagon is 650°. If the remaining two angles are equal in measure, what is the measure of each angle?
Group of answer choices
60
35
720
70
650
The measure of each angle of hexagon = 35°
we know that the hexagon is a polygon with six sides.
A regular hexagon is a hexagon with the measurement of all the sides and interior angles are equal.
Let us assume that x represent the measure of one of the remaining two angles that are equal in measure.
We know that the sum of interior angles of hexagon is 720°
The sum of the measures of 4 out of the 6 interior angles in a hexagon is 650°.
So, we get an equation,
650° + x + x = 720°
650° + 2x = 720°
2x = 70°
x = 70/2
x = 35°
The measure of each angle = 35°
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The following values are the starting salaries, in $000, for a sample of five accounting graduates who accepted positions in public accounting last year. 36. 0 26. 0 33. 0 28. 0 31. 0a. Determine the mean, median, and the standard deviation. B. Determine the coefficient of skewness using Pearson’s method. C. Determine the coefficient of skewness using the software method
For the sample (a) Mean is 30.8, the median is 31 and the standard deviation is 3.96, (b) the coefficient of skewness using Pearson's method is -0.151, and (c) the coefficient of skewness using the software method is 0.075.
Given values,
36, 26, 33, 28, 31
no. of values, n = 5
(a)
Mean, μ = Σx/n
= (36+26+33+28+31)/5 = 30.8
Now, Median, M = (n+1)/2th value
M = (5+1)/2 th = 3rd value
M = 31
Standard deviation(s) = [tex]\sqrt{ }[/tex]Σ(x-μ)²/n-1
= [tex]\sqrt{ \frac{(36-30.8)^{2}+(26-30.8)^2+(33-30.8)^2+(28-30.8)^2+(31-308)^2 }{4} }[/tex]
s = 3.96
(b) the coefficient of skewness using Pearson’s method
= 3(μ-M)/s = 3(30.8-31)/3.96 = -0.151
(c) the coefficient of skewness using the software method
= 1/s³(n-1)Σ(x-μ)³ = [tex]\frac{(36-30.8)^{3}+(26-30.8)^3+(33-30.8)^3+(28-30.8)^3+(31-30.8)^3 }{4(3.96)^3}[/tex]
= 0.075
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What is the answer?Which polynomials are listed with their correct additive inverse? Check all that apply.
x2 + 3x – 2; –x2 – 3x + 2
–y7 – 10; –y7 + 10
6z5 + 6z5 – 6z4; (–6z5) + (–6z5) + 6z4
x – 1; 1 – x
(–5x2) + (–2x) + (–10); 5x2 – 2x + 10
That the nimber value i
Please name the answer with the number I need help asap no bots or trolling
Using linear equation, Isaac saved $33.3 and June ran 20.25 miles in 3 days.
What is a linear equation ?
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form
Ax + B = 0
e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.
The standard form of a linear equation in two variables is of the form
Ax + By = C
e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.
Now,
Let Eve saved = $x
then Isaac saved= 5x+x=$6x
where x=$5.55
Hence,
Isaac saved=$33.3
Let June ran y mile in one day
so, In three days she ran = 3y mile where y=6.75 miles
Hence,
June ran 20.25 miles in 3 days.
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please need help with this
Answer:
see below
Step-by-step explanation:
total sum of all angles is 360
becuase they are all parallel, so the sum of A & D multiply by 2 = 360
so a+d = 180
5x+18 +3x+10 = 180
8x+28 =180
8x=152
x=19
A = 5*19+18 =113
D=3*19+10 =67
What is the answer for this?
The square feet of outdoor carpet needed for the hole is 42.
What is area of a composite figure.A composite figure is a given figure which is made up of more than one figure. Thus the total area of the figure is then the required area of the composite figure.
In the given diagram, the hole can be divided into a trapezium, rectangle and a triangle. So that;
i. Area of a trapezium = 1/2 (a + b)h
= 1/2 (3 + 6)4
= 9*2
= 18
Area of the trapezoidal part is 18 square feet.
ii. Area of a rectangle = length x width
= 7*3
= 21
Area of the rectangular part is 21 square feet.
iii. Area of a triangle = 1/2* base * height
= 1/2 * 2* 3
= 3
Area of the triangular part is 3 square feet.
Total area = 18 + 21 + 3
= 42 square feet
The area of outdoor carpet needed for the hole is 42 square feet.
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Does 4x - 8 = 3x +13 have one solution, no solution or infinite solutions
Answer:
Step-by-step explanation:
Hello! Here are the steps to solve 4x - 8 = 3x + 13
4x - 8 = 3x + 13
+ 8 + 8
____________
4x = 3x + 21
-3x -3x
____________
x = 21
There is one solution because there is only one possibility for x. Let's check the answer.
4(21) - 8 = 3(21) + 13
84 - 8 = 63 + 13
76 = 76
x = 21, x does equal 21 and the answer that there is only one solution is correct.
No solutions would mean that after you solved the equation, you would get something like 9 = 7, 2 = 5, etc. which is not true. No solutions would mean that you would receive a false equation.
Infinite solutions would mean that after you solved an equation, such as 2x = 2y, you would get x = y. There are infinite solutions for this because you can substitute infinite numbers in for x and y. 1 = 1, 2 = 2, 3 = 3, 4 = 4, 5 = 5, etc.
Solve the simultaneous equation.
The value of a = -2 and b = 3.
What is a system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
Here, we have
Given: 3a - 5b = -26, a + 2b = 6
We have to solve this equation.
3a - 5b = -26...(1)
a + 2b = 6...(2)
Now we multiply equation (1) by 2 and equation (2) by 5 and we get
6a - 10b = -52....(3)
5a + 10b = 30....(4)
After solving equations (3) and (4), we get
11a = -22
a = -2
Now we put the value of 'a' in equation(3) and we get
6(-2) - 10b = -52
-10b = -52 + 12
-10b = -30
b = 3
Hence, the value of a = -2 and b = 3.
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There are three coins in a barrel. These coins, when flipped, will come up heads with respective probabilities 0. 3, 0. 5, 0. 7. A coin is randomly selected from among these three and is then flipped ten times. Let N be the number of heads obtained on the ten flips. (a) Find P{N = 0}. (b) Find P{N = n}, n = 0, 1. 10. (c) Does N have a binomial distribution?(d) If you win $1 each time a head appears and you lose $1 each time a tail appears, is this a fair game? Explain
(a) P(N=0) = 0.00974
(b) P(N=n) = 1/3[10Cn(0.3)ⁿ(0.7)¹⁰⁻ⁿ + 10Cn(0.5)ⁿ(0.5)¹⁰⁻ⁿ + 10Cn(0.7)ⁿ(0.3)¹⁰⁻ⁿ]
(c) N does not have a binomial distribution.
(d) yes, it is a fair game.
(a) P(N=0) = 1/3P(N=0 | p = 0.3) + 1/3P(N=0 | p = 0.5) + 1/3P(N=0 | p = 0.7)
or P(N=0) = 1/3{(0.3)¹⁰ + (0.5)¹⁰ + (0.7)¹⁰)
or P(N=0) = 0.00974
(b) P(N=n) = 1/3[10Cn(0.3)ⁿ(0.7)¹⁰⁻ⁿ + 10Cn(0.5)ⁿ(0.5)¹⁰⁻ⁿ + 10Cn(0.7)ⁿ(0.3)¹⁰⁻ⁿ]
since, n=0, 1, 10
(c) N does not have binomial distribution but subparts in it have binomial distribution.
(d) yes, it is a fair game because only the first and third coins are biased and their biasness is tied (p = 0.3 and 0.7). Hence it is a fair game in the long run.
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in a paint factory, an old conveyer line has filled 20 barrels of paint, and is filling more at a rate of 8 barrels per minute. a worker just switched on a newer line that can fill 12 barrels per minute. in a little while, the two lines will have filled an equal number of barrels. how many barrels will each line have filled? how long will that take?
Answer:
Step-by-step explanation:
23 barrels an 3 budgets
Hey! looking for people that can answer this question ASAP! Is due in 20 mins, so please help!
Answer:
The volume is 1449 ft^3
Step-by-step explanation:
Split each section, the living room and hallway, into two different rectangular prisms to solve for.
The larger rectangle will have a length of 15ft, a width of 12ft, and a height of 7ft as shown in the diagram. Multiply length, width, and height to find the volume of 1,260ft.
15*12*7=1,260
The smaller rectangle will have a length of 9ft. That's found by subtracting 15 from 24. The width will be 3ft. That's found from subtracting 9 from 12. The height is still 7. Multiple each together to find the second rectangle's volume of 189ft.
24-15=9
12-9=3
9*3*7=189
Add both volumes together and you have the volume of the whole space.
1,260+189=1449ft^3
true or false: if is a continuous random variable, then the cumulative distribution function of is
The cumulative distribution function of a continuous random variable is the probability that the random variable X is greater than or equal to x, where x is a specific value of the continuous random variable X. [FALSE ]
CUMULATIVE DISTRIBUTIONThe cumulative distribution function of a continuous random variable is the probability that the random variable X is less than or equal to x, where x is a specific value of the continuous random variable X.
The cumulative distribution function is a function that is usually derived from a continuous random variable. We actually calculate the area underneath a probability density function between two points.
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Please answer this question quick! The information is in the picture.
The area of the triangle is 60 in²
How to find the area of an isosceles triangle?
An isosceles triangle is a triangle with two equal sides. The area of an isosceles triangle is given by:
A = 1/2[√(a² − b² ⁄4) × b],
Where a is the measure of equal sides and b is the base of triangle
From the given info, a = KL = LM = 13 in and b = KM = 10 in
A = 1/2[√(13² − 10² ⁄4) × 10]
A = 1/2[√(169 − 100 ⁄4) × 10]
A = 1/2[√(169 − 25) × 10]
A = 1/2[√(144) × 10]
A = 1/2[12 × 10]
A = 1/2[120]
A = 60 in²
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Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
The product of 8 and the sum of a number and 5.
The algebraic expression that represents the given sentence is:
8 (x + 5).
What are algebraic expressions?The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. The values a expressed in an unknown number using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression.
What is product of two numbers?In mathematics, a number that is obtained by multiplying two or more distinct variables together is referred to as the product.
Let us suppose the "a number", as x.
The sum of a number and 5 is represented as follows:
(x + 5)
The product of 8 and sum of a number and 5 is represented as follows:
8 (x + 5)
Hence, the algebraic expression that represents the given sentence is:
8 (x + 5)
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find each value for the equations
Variables in mathematics are used to represent values or quantities that can change or vary.
The values are:
a) g(3b) = 9b² - 3b
b) f(2) + 1 = 9
What is a function?
A function is a mathematical relationship between a set of inputs (also known as domain) and a set of possible outputs (also known as a range). The inputs are usually represented by variables, such as 'x' in the examples you provided.
The given functions are
f(x) = 3x +2 and g(x) = x² - x,
a) g(3b) = (3b)² - (3b) = 9b² - 3b
b) f(2) = 3(2) + 2 = 6 + 2 = 8
so f(2) + 1 = 8 + 1 = 9
Hence, the values are:
a) g(3b) = 9b² - 3b
b) f(2) + 1 = 9
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Find the coordinates of the missing endpoint if p is the midpoint of nq. n(2,0), p(5,2)
The coordinates of the missing endpoint if p is the midpoint of nq is (8,4)
In math the term called midpoint is defined as the point on a line that is at an equal distance from either end.
Here we have know the value of the point n(2,0) and p(5,2) and we need to identify the value of q.
Let us consider that (x, y) be the point of q.
Where we all know that the formula of mid point is written as,
p(xₐ, yₐ) = [(x₁+x₂)/2, (y₁ + y₂)/2]
When we apply the values on it, then we get,
=> p(5,2) = [(2+x)/2, (0+y)/2]
When we compare the values, then we get,
=> (2+x)/2 = 5
=> 2 + x = 10
=> x = 8.
Similarly the value of y is calculated as,
=> (0+y)/2 = 2
=> y = 4
Then the coordinate of q is (8,4).
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A hop ha a ale that offer 20% of all price. On the final day they reduce all the ale price by 25%. Linz buy a radio on the final day. Work out the overall percentage reduction on the price of the radio.
the customer saved 45% on the price of the radio compared to the original price.
25%
The original price of the radio = 100%
The 20% discount = 100%-20% = 80%
The 25% discount = 80%-25% = 55%
Overall percentage reduction = 100%-55% = 45%.
The original price of the radio was 100%. On the final day, the ale was discounted by 25%, which reduced the price to 80%. This was then further discounted by 20%, bringing the price to 55%. Therefore, the overall percentage reduction on the price of the radio was 45%. This means that the customer saved 45% on the price of the radio compared to the original price.
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The length of a rectangular backyard, is 3x + 4 feet, and the width is x - 1 feet. Write à polynomial that represents the area. Find the area if x is 6 feet.
Answer:
Step-by-step explanation:
The length of the rectangular backyard is represented by the polynomial 3x + 4 and the width is represented by the polynomial x - 1. To find the area, we can multiply the length and the width, which will give us the polynomial expression for the area.
So the polynomial that represents the area of the rectangular backyard is:
(3x + 4) * (x - 1) = 3x^2 + x - 4
If x = 6, then we can substitute this value into the polynomial expression for the area and find the area of the backyard:
3x^2 + x - 4 = 3(6)^2 + (6) - 4 = 108 square feet
So the area of the rectangular backyard when x = 6 is 108 square feet.
I NEED HELP ASAP!!
I hate IXL with a passion but my math teacher thought it was a good idea to give us homework on it. Anyways, here is the question:
What is the value of f?
Answer:c
Step-by-step explanation:
Alex has a collection of vehicle models. He built 8 model airplanes, 4 model trains, and 12 model cars. Write a ratio to represent the ratio of trains to airplanes.
1/2
8:4
4:24
2 to 1
To represent the ratio of trains to airplanes, you can write it as:
4 : 8
This ratio shows that for every 4 model trains, there are 8 model airplanes. You could also simplify the ratio to 1:2 which means that for every 1 model train, there are 2 model airplanes.
Alternatively, you could express the ratio as a fraction:
4/8 = 1/2
This fraction shows that 1/2 of the models are model trains.
The solution is, 1/2 is a ratio to represent the ratio of trains to airplanes.
Here, we have,
To represent the ratio of trains to airplanes, you can write it as:
4 : 8
This ratio shows that for every 4 model trains, there are 8 model airplanes. You could also simplify the ratio to 1:2 which means that for every 1 model train, there are 2 model airplanes.
Alternatively, you could express the ratio as a fraction:
4/8 = 1/2
This fraction shows that 1/2 of the models are model trains.
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the ratio of men to women working for a company is 4 to 3. if there are 175 employees total, how many women work for the company?
ap statitic fishing men are 190 lbs with gear and clothes with a variance of 100. what is the standard deviation of the weight of 4 men?
The standard deviation of the weight of 4 men would be: 5 lbs.
The Standard DeviationThe standard deviation of a sample of size 4 is the square root of the variance divided by the sample size. In this case, the standard deviation of the weight of 4 men would be:
√(100 / 4) = √(25) = 5 lbs
Please note that the standard deviation of a population is denoted by the Greek letter sigma (σ) and the standard deviation of a sample is denoted by the letter s.
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v) Create a table from 60=12m
I need to turn this in tomorrow morning pls help
The table of values represented from 60 = 12m is
m 5
f(m) 60
How to determine the table of values?From the question, we have the following parameters that can be used in our computation:
60 = 12m
To determine the table of values, we start by solving for m in the equation 60 = 12m
So, we have
12m = 60
Divide both sides by 12
m = 5
So, the equation can be expressed as
f(m) = 12m
This implies that the table of values is
m 5
f(m) 60
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Rachel has $900 in a savings account. The interest rate is 5% per year and is not compounded. How much interest will she earn in 1year?
The interest will she earn in 1year is $45 if Rachel has $900 in a savings account. The interest rate is 5% per year and is not compounded.
What is Simple Interest ?
Simple Interest can be defined as the ratio of product of principal amount, time, rate and hundred.
Given ,
Rachel has $900 in a savings account. The interest rate is 5% per year and is not compounded.
we have to find interest will she earn in 1year
so we know that,
I = PTR
I = 900*(0.05)*1
I = $45
So, The interest could be $45.
Therefore, The interest will she earn in 1year is $45 if Rachel has $900 in a savings account. The interest rate is 5% per year and is not compounded.
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