The t-test yields the probability (p value) that the null hypothesis is option (B) incorrect
The p-value in a t-test represents the probability of obtaining the observed test statistic (or one more extreme) assuming that the null hypothesis is true. The null hypothesis is typically a statement of "no effect" or "no difference" between two groups being compared in the test.
Therefore, a low p-value (generally less than 0.05) indicates that the observed data is unlikely to have occurred by chance under the null hypothesis and suggests that the null hypothesis is likely to be false.
In other words, a low p-value provides evidence against the null hypothesis and in favor of the alternative hypothesis (which typically represents the hypothesis that the researchers are interested in testing).
Thus, the p-value does not directly tell us whether the null hypothesis is correct or incorrect, but rather whether the evidence supports rejecting it or not.
Therefore, the correct option is (B) incorrect
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Sarah competes in a long jump competition. Her first jump is 4.25m. Her best jump is 12% more than this. However, her best jump is 15% lower than the winning jump. Work out the length of the winning jump.
Answer:
5.51mStep-by-step explanation:
Let's call the length of the winning jump "w".
Sarah's best jump is 12% more than her first jump, which was 4.25m. So her best jump was 4.25m * 1.12 = 4.77m.
However, her best jump is 15% lower than the winning jump, so we can set up an equation to solve for w:
4.77m * 1.15 = w
Solving for w:
w = 4.77m * 1.15 = 5.51m
So the winning jump was 5.51m.
Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ
What is the first step
Britney invested $500 in stocks. After one year, the value of her stocks has increased to
$530. Britney wants to use the growth from the first year to estimate future growth.
Write an exponential equation in the form y = a(b)* that can model the estimated value of
Britney's stocks, y, after x years.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
The exponential equation in the form y= a[tex](b)^x[/tex] that can model is y= 500[tex](1.06)^x[/tex].
What is Exponential Function?In mathematics, an exponential function is a relationship of the type
y = [tex]a^x[/tex], where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.
Given:
Britney invested $500 in stocks.
After one year, the value of her stocks has increased to $530.
We know the Exponential Function y= a[tex](b)^x[/tex]
As, a= 500, y= 530, x= 1
So, y= a[tex](b)^x[/tex]
530 = 500 [tex](b)^1[/tex]
530 / 500 = b
b= 1.06
So, the exponential equation is y= 500[tex](1.06)^x[/tex]
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an opinion poll asks a random sample of adults whether they favor banning ownership of handguns by private citizens. a commentator believes that more than half of all adults favor such a ban. the null and alternative hypotheses you would use to test this claim are
The currect option is (b) H0: p = 0.5; Ha: p > 0.5
p represents the population proportion.
A null hypothesis is a statement from the population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.
An alternate hypothesis is also a statement from the population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.
An opinion poll asks a random sample of adults whether they favor banning ownership of handguns by private citizens. a commentator believes that more than half of all adults favor such a ban. the null and alternative hypotheses you would use to test this claim are
a) H0:p^=0.5;Ha:p^>0.5
(b) H0:p=0.5;Ha:p>0.5
(c) H0:p=0.5;Ha:p<0.5
(d) H0:p=0.5;Ha:p≠0.5
(e) H0:p>0.5;Ha:p=0.5
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if the product is -8 and the sum is 2 what are the other 2 numbers?
Answer:
4 and -2
Step-by-step explanation:
4 + -2 = 2
4 x -2 = -8
the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.T/F
The probability of the intersection of two events occurring can never be more than the probability of the union of two events occurring.
False.
It should be stated that the likelihood of the intersection of two events occurring is always less than the likelihood of the events occurring together.
It is always less likely than or equal to the likelihood of either event occurring alone for an intersection of two events, which is the chance that both occurrences take place.
In other words, the probability of the intersection and the probability of the union are subsets of one another.
The chance of the intersection of two events occurring can never be greater than the likelihood of the union of two events occurring, hence that is the right statement.
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Can someone help me with this question ??
The length of x is given as follows:
x = 3.6.
What are similar polygons?Similar polygons share these two features listed as follows:
Congruent angles, that is, angles that have the same measure.Proportional side lengths.In the context of this problem, the proportional relationship for the side lengths of the polygons is given as follows:
x/3 = 2.4/2 = 4.8/4 = 6/5.
The relationship can be simplified as follows:
x/3 = 1.2.
Applying cross multiplication, the value of x is obtained as follows:
x = 3 x 1.2
x = 3.6.
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A candy store sells a brand of nuts that costs $2 per pound and a brand of chocolate coated candies that costs $0.95 per pound. Select the equation that solves for x lb of nuts that must be mixed with 32 lb of the chocolate coated candies in order to have a mixture that costs 1.48 per pound.
A. 2x + 0.95(32) = 1.48x
B. 2x + 0.95(32) = 1.48(x + 32)
C. 0.95x + 2(32) = 1.48(x + 32)
D. 0.95x + 2(32) = 1.48x
E. none of these
We know that the store sells nuts for $2 per pound and chocolate for $0.95 per pound. We also know that x represents the total pounds of nuts, and 32 represents the total pounds of chocolate.
In order to write an equation that represents a mixture that costs $1.48 per pound, we first need to find an expression to represent the total pounds in this situation, which would be (x + 32).
Now that we have this, let's just combine everything we know into one equation:
2x + 0.95(32) = 1.48(x + 32)
Therefore, the correct answer choice is option B.
Please help me by finding the missing side length using trig!
On solving the provided question, we cans ay that in this triangle by Pythagorean theorem [tex]A^2 = B^2 + C^2[/tex] => AC = [tex]\sqrt{115}[/tex]
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here, in this triangle by Pythagorean theorem
[tex]A^2 = B^2 + C^2[/tex]
AC = [tex]\sqrt{14^2 - 9^2}[/tex]
AC = [tex]\sqrt{196 - 81}[/tex]
AC = [tex]\sqrt{115}[/tex]
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Classify the triangle by its sides.
A.acute
B.scalene
C.isosceles
D.equilatera
Answer:
D because all sides are equal
four friends attended a school play and pay $6.25 per ticket. Each also buys a healthy snack bag sold by the theater club. If the friends spent a total of $37.00, how much did they each healthy snack beg cost, b? write and solve an equation.
Answer:
Since each ticket cost $6.25, then to find the total they spent on tickets you will multiply 6.25 by itself 4 times:
6.25 * 4 = 25
They spent $25 on movie tickets.
You can subtract that from the $37 to find the total they spent on the snacks:
37 - 25 = 12
Th spent $12 in total on movie snacks. Now to find how much they cost each, yo will divide that total by the 4 friends:
12/4 = 3
The movie snacks cost $3 each.
Step-by-step explanation:
Hope it helps! =D
The wholesale price for a desk is $162.A certain furniture store marks up the wholesale price by 30%. What is the price of the desk in the furniture store?
Answer:
The price of the desk in the furniture store is $202.8
your father told you that he picked more than 1 apple this year. what is the probability that he picked 3 apples, given that information?
1) The probability of picking more than 1 apple is 0.8. 2) the expected number of apples you can pick each year is 2.65. 3) the expected number of apples you can pick each year is 2.65.
To find the probability of picking more than 1 apple, we need to find the sum of the probabilities of picking 2, 3, and 4 apples. Using the table, we have P(N>1) = P(2) + P(3) + P(4) = 0.15 + 0.35 + 0.3 = 0.8. So, the probability of picking more than 1 apple is 0.8. The expected number of apples you can pick each year can be calculated using the formula: E(N) = ∑N * P(N), where the sum is taken over all possible values of N. Using the table, we have E(N) = (1 * 0.1) + (2 * 0.15) + (3 * 0.35) + (4 * 0.3) = 0.1 + 0.3 + 1.05 + 1.2 = 2.65. So, the expected number of apples you can pick each year is 2.65. To find the probability of picking 3 apples, given that your father picked more than 1 apple, we need to use the conditional probability formula. We have P(3|N>1) = P(3 and N>1) / P(N>1) = P(3) / P(N>1) = 0.35 / 0.8 = 0.4375. So, the probability of your father picking 3 apples, given that he picked more than 1 apple, is 0.4375
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Complete Question
Imagine you have an apple tree, and you pick apples from it each fall. Empirically, the number of apples (N) that you can harvest and the corresponding probability (P) can be summarized in the following table, the table = N - O, 1, 2, 3, 4 And P = 0.1, 0.15, 0.35, 0.3, 0.1
1) What is the probability that you can pick more than 1 apple? 2) What is the expected number of apples you can pick each year? 3) Your father told you that he picked more than 1 apple this year. What is the probability that he picked 3 apples, given that information?
Bill is ordering 30 basketball jerseys. Two companies gave their bid: “print it”charges $21.50 per shirt. “ top print” charges a flat fee of $70.00, then $18.00 for each shirt
which company should bill use?
Bill should use the "Print It"company.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
To determine which company Bill should use, you need to calculate the total cost of each option and compare them.
For "Print It," the total cost would be :
= 30 x $21.50
Apply the multiplication operation, and we get
= $645.00
For "Top Print," the total cost would be :
= $70.00 + (30 x $18.00)
= $690.00
Since the cost of "Print It" is lower than "Top Print," Bill should use "Print It" as it would be a more cost-effective option for him.
Thus, he should use the "Print It"company.
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the 2 agnles and the included side of one triangle are congruent to 2 angles and the included side of another triangle
If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, the two triangles are congruent by the ASA congruence condition. Hence, option a. is the right answer.
According to the definition, we know that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the two triangles are congruent by the ASA congruence condition.
Let us consider two triangles △ABC and △QRP as shown below -
So, in △ABC and △QRP, we have,
∠B=∠R
∠C=∠P
BC=RP
∴ By ASA congruence test for triangles, we get △ABC ≅ △QRP
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The complete question is -
If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, the two triangles are congruent by _____ congruence condition.
a. ASA
b. AAA
c. SAS
d. RHS
HELP ASAP PLEASE THANK U
Answer:
Shrub $7
Rose Bush $8
Step-by-step explanation:
First, write them as equations
10r + 4s = $108
5r + s = $47
Next, multiply
10r + 2s = $94
10r + 4s = $108
Then, Subtract
2s = $14
After, Divide
s = $7
Then, plug in and solve
5s + $7 = $47
$40/5s = 8$
$8 = r
$7 = s
Answer: The bushes cost $8 and the shrubs cost 7$
Step-by-step explanation:
For this question you must use system of equations, trial and error will take a very long time.
So yeah, here is how you solve it-
First set up equations (b represents the amount of bushes and s represents the amount of shrubs):
5b + 1s = 47
10b+4s=108
Next you can either solve via elimination or the substitution method. I will show elimination here. Elimination works by slightly modifying one of the equations so that it cancels when it is added to the other equation:
(I modified the first equation)
-4(5b+1s = 47) = -20b-4s=-188
(Then add)
-20b-4s=-188
+ 10b+4s=108
This equals: -10b=-80
Next you just solve for b:
b=-80/-10
b=8
To then find s, plug b into one of the original equations and solve for s:
(I plugged it into the first equation)
5(8)+1s=47
40+s=47
s=7
So the bushes cost $8 and the shrubs cost 7$
Hope this helps :)
please help will give brainliest
Answer:
Step-by-step explanation:
.....-_-.....-__-....-___-_--____--_--_____--_--______________--_________________-u streched ma face dude.
a company has 4 service trucks. let x represent the number of trucks that are not working at any point in time. consider the probability model shown below for x. x 0 1 2 3 4 probability 0.2 0.24 0.17 0.06 0.33 a. what is the probability that exactly 1 of the trucks are not working at any point in time? give your answer to two decimal places. 0.24 b. what is the probability that fewer than 1 of the trucks are not working at any point in time? give your answer to two decimal places. 0.26 c. what is the probability that more than 1 of the trucks are not working at any point in time? give your answer to two decimal places.
Probability of each of the following is,
(a) 0.24, (b) 0.20 and (c) 0.56
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
(a) From the table,
Probability that exactly 1 of the trucks are not working at any point in time = P(x = 1) = 0.24.
(b) Probability that fewer than 1 of the trucks are not working at any point in time is the probability that no trucks are working at any point of time.
P(x < 1) = P(x = 0) = 0.20
(c) Probability that more than 1 of the trucks are not working at any point in time is the combined probability that 2, 3 and 4 trucks are working.
P(x > 1) = P(x = 2) + P(x = 3) + P(x = 4)
= 0.17 + 0.06 + 0.33
= 0.56
Hence each of the values of the probability is found.
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Which collection of three side lengths WILL NOT form a triangle?
10 in, 12 in, 15 in
10 in, 15 in, 6 in
4 in, 5 in, 10in
9in, 16 in, 8 in
The collection of 4 in, 5 in, and 10in of three side lengths will not form a triangle.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.
Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, A triangle has a property that the sum of any two sides is always greater than the third side and the difference between any two sides is smaller than the third side.
From the given options if we observe the third option,
4 + 5 should be greater than 10 but it is not therefore, It is the correct option.
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someone help me pls :b
Answer:
13 months
Step-by-step explanation:
(b)
let C(x) = 431.5 and solve for x , that is
29x + 54.5 = 431.5 ( subtract 54.5 from both sides )
29x = 377 ( divide both sides by 29 )
x = 13
that is cable service for 13 months
Gloria traveled a total of 888 miles to get from school to her apartment. Gloria took the bus from school and then walked the remaining 880880880 yards home.
Gloria walked 500500 Miles from nearest bus stop to home.
How to convert yards into miles ?
To convert a yard measurement to a mile measurement, divide the length by the conversion ratio.
Since one mile is equal to 1,760 yards, you can use this simple formula to convert:
miles = yards ÷ 1,760
The length in miles is equal to the yards divided by 1,760.
Given:
Gloria traveled : 888 miles
1 Mile = 1760 yards
880880880 yards = 500500 Miles
So she walked 500500 Miles from nearest bus stop to home.
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uppose that a particular nba player makes of his free throws. assume that late in a basketball game, this player is fouled and is awarded two free throws. a. what is the probability that he will make both free throws? (to 4 decimals) b. what is the probability that he will make at least one free throw? (to 4 decimals)
Answer:
a. 0.81
b. 0.81
Step-by-step explanation:
Let's assume that the player makes x% of his free throws. Then, the probability that he will make both free throws is (x/100)^2, and he will make at least one free throw is 1 - (1 - x/100)^2.
So if he makes 90% of his free throws, then:
a. The probability that he will make both free throws is (90/100)^2 = 0.81.
b. The probability that he will make at least one free throw is 1 - (1 - 90/100)^2 = 1 - (1 - 0.9)^2 = 1 - 0.19 = 0.81.
The answers to the questions rounded to 4 decimal places are:
a. 0.81
b. 0.81
5(5-5)=4(5-5) why cant you cancel the 5-5
Answer:
you cannot cancel (5-5) because it is multiplied to 5 and 4 if the question was 5+(5-5)=4+(5-5) you can cancel 5-5
The reason that we can't cancel out the (5 - 5) is because it is attached to different numbers and as such they must be multiplied first with distributive property.
How to use properties of algebra?According to the distributive property of algebra, multiplying the sum of two or more addends by a number will give us the same result as when each addend is multiplied individually by the number and the products are added together.
This also applies to addition as well.
We are given;
5(5 - 5) = 4(5 - 5)
Now, according to the distributive property, we will have to first multiply out the bracket to get a solution. Thus, we can't cancel out the (5 - 5) because it is attached to different numbers and as such they must be multiplied first with distributive property in mind.
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given f(x)=2x^2+4, find f(0)
Answer:
-4
Step-by-step explanation:
Answer:
f(0) = 4
Step-by-step explanation:
[tex]f(x) = {2x}^{2} + 4[/tex]
- When x = 0, then f(x) = f(0)
[tex]f(0) = 2(0) {}^{2} + 4 \\ f(0) = 4[/tex]
f(x)=x^2-4x+3 find the quadratic function
Answer:
Step-by-step explanation:
1.If AG=12,what is EF
a.12 b.13 c.7 d.not enough info to determine
2.What is m angle ECB (not shown in the picture)
a.40 b.140 c.72 d.not enough info
1. The value of line EF is 14.3
2. not enough info to get angle ECB
What are congruent triangle?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical.
EF is congruent to AB
GB is congruent to EH
Therefore AG will be congruent FH
therefore FH = 12
tan 40 = 12/EF
EF = 12/tan40
EF = 12/0.839
EF = 14.3
There is not enough info to get angle ECB
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thirty percent of hospital admissions for diabetic patents are related to problems with the kidneys. in a sample of 10 diabetic hospital admissions, what is the probability that exactly five patients will have kidney related problems
The probability of exactly 5 patients having kidney-related problems is approximately 0.253 or 25.3%.
The probability of a given number of patients having kidney-related problems can be found using the binomial distribution. The binomial distribution models the number of successful outcomes in a fixed number of independent trials, where each trial has the same probability of success.
In this case, each hospital admission is a trial, and the probability of success (having a kidney-related problem) is 0.3 (30%). The number of trials is 10, and we want to find the probability of exactly 5 patients having kidney-related problems.
We can use the formula for the probability mass function of the binomial distribution to find this:
[tex]P(X = k) = (n choose k) * p^k * (1-p)^(n-k)[/tex]
where:
n = 10 (number of trials)
k = 5 (number of successful outcomes)
p = 0.3 (probability of success)
Using the formula, we have:
[tex]P(X = 5) = (10 choose 5) * 0.3^5 * (1-0.3)^(10-5)= 252 * 0.3^5 * 0.7^5[/tex]
= approximately 0.253
So, the probability of exactly 5 patients having kidney-related problems is approximately 0.253 or 25.3%.
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Thirty percent of hospital admissions for diabetic patents are related to problems with the kidneys. in a sample of 10 diabetic hospital admissions, what is the probability that exactly five patients will have kidney related problems?
Denton
When mapped on a coordinate plane, the coordinates of 2 of the towns are Albion (5, 5) and Denton (-7,-3). Beacon
is exactly in the middle of Albion and Denton, and Casper is exactly in the middle of Denton and Beacon.
What are the coordinates of Casper?
The coordinates of Casper which lies exactly in the middle of Denton and Beacon are (-4, -1).
What are the Coordinates?Coordinates are defined as the set of points in a coordinate plane or space, which describes the position of that point in that plane or space.
In a coordinate plane, the midpoint of two points (x₁, y₁) and (x₂, y₂) is the point (x, y) such that their measures are,
x = (x₁ + x₂) / 2
y = (y₁ + y₂) / 2
First, we can write the given measures.
Coordinates of Albion = (5, 5)
Coordinates of Denton = (-7, -3)
Given that, Beacon is lying exactly in the middle of Albion and Denton.
Let the coordinates of Beacon be (x, y).
Using the formula above,
x coordinate of Beacon = (5 + -7) / 2 = -1
y coordinate of Beacon = (5 + -3) / 2 = 1
Coordinates of Beacon are thus (-1, 1).
Casper is lying exactly in the middle of Denton(-7, -3) and Beacon (-1, 1).
Let (x' , y') be the coordinates of Casper.
Using the same formula,
x' = (-7 + -1) / 2 = -4
y' = (-3 + 1) / 2 = -1
Hence the coordinates of Casper are (-4, -1).
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The sum of two numbers is 147 the difference of the two numbers is 25 what are the two number?
The two numbers, then, are 86 and 61.The two numbers can be found by using basic algebra.
The two numbers can be found by using basic algebra. To solve for the two numbers, we can set up two equations, one for the sum and one for the difference. For the sum, we can set up the equation: x + y = 147. For the difference, we can set up the equation: x - y = 25. We can then solve for x by adding y to both sides of the equation for the difference, so x = 25 + y. We can then substitute this value for x in the equation for the sum, so 25 + y + y = 147, or 2y = 122, and y = 61. We can then substitute this value for y in the equation for x, so x = 25 + 61, or x = 86. The two numbers, then, are 86 and 61.
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A large milling machine shaves 2-in. from a plate that is 1 in. thick. What is the thickness of the plate after one pass? What is the thickness of the plate after three passes?
The thickness of the plate after one pass is 1 21/ 32 and after three pass is 1 7/32 in.
How to convert mixed fractions?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
An inappropriate fraction is created by adding the numerator to a mixed fraction after multiplying the denominator of the proper fraction by the whole number it is related to.
How change a fraction into a mixed fraction?
By denominator, divide the numerator.
Take the quotient as a whole number and use the remaining amount as the proper fraction's numerator while maintaining the original denominator.
Given that the thickness of the plate is 1 7/8 in.
Convert the mixed fraction into improper fraction:
1 7/8 = 15/8
The machine shaves of 7/32 in, thus after one pass we have:
15/8 - 7/32
Take the LCM:
60/32 - 7/32 = 53/32
Covert the fraction into mixed fraction:
53/32 = 1 21/ 32 in
After three passes through the machine the thickness of the plate is:
15/8 - 3(7/32)
60/32 - 21/32 = 39/32
Covert into mixed fraction:
39/32 = 1 7/32 in
Hence, the thickness of the plate after one pass is 1 21/ 32 and after three pass is 1 7/32 in.
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The correct question is:
