Answer:
The value is [tex]p- value = 0.041815[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 40 \ hours[/tex]
The sample size is [tex]n = 18[/tex]
The sample mean is [tex]\= x = 37.8 \ hours[/tex]
The standard deviation is [tex]\sigma = 5.4\ hours[/tex]
The null hypothesis is [tex]H_o : \mu = \ge 40[/tex]
The alternative hypothesis is [tex]H_a : \mu < 40 \ hour s[/tex]
Generally the test statistic is mathematically evaluated as
[tex]t= \frac{\= x - \mu}{ \frac{\sigma}{ \sqrt{n} } }[/tex]
[tex]t= \frac{37.8 - 40}{ \frac{5.4}{ \sqrt{18 } }[/tex]
[tex]t= -1.73[/tex]
From the z - table the p-value is obtained and the value is
[tex]p- value = P(Z < -1.73)[/tex]
[tex]p- value = 0.041815[/tex]
To test DullCo's hypothesis, the p-value is 0.041815 and this can be determined by using the given data.
Given :
DullCo Manufacturing claims that its alkaline batteries last at least 40 hours on average in a certain type of portable CD player. But tests on a random sample of 18 batteries from a day's large production run showed a mean battery life of 37.8 hours with a standard deviation of 5.4 hours.The following steps can be used in order to determine the p-value for DullCo's hypothesis:
Step 1 - The formula for t-statistics can be used in order to determine the p-value for DullCo's hypothesis.
Step 2 - The formula for t-statistics is given below:
[tex]t = \dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n} }}[/tex]
where the sample size is 'n', the standard deviation is [tex]\sigma[/tex], and the mean is [tex]\mu[/tex].
Step 3 - Now, substitute the values of [tex]\sigma[/tex], [tex]\mu[/tex], [tex]\bar{x}[/tex], and n in the above formula.
[tex]t = \dfrac{37.8-40}{\dfrac{5.4}{\sqrt{18} }}[/tex]
Step 4 - SImplify the above expression.
[tex]t = \dfrac{-2.2}{1.2727}[/tex]
[tex]t = -1.73[/tex]
Step 5 - Now, with the help of the z-table the p-value is:
[tex]\rm p-value = P(Z<-1.73)[/tex]
[tex]\rm p-value = 0.041815[/tex]
To test DullCo's hypothesis, the p-value is 0.041815.
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-78 = 8 (4 + 7x) + 6(-1 + 8x)
Answer:
56x = -152
Step-by-step explanation:
8(4+7x) + 6(-1 + 8) = -78
32 + 56x - 6 + 48 = -78
32 + 48 - 6
74 + 56x = -78
-74 -74
56x = -152
How do you solve this equation? -5/4+(-7/9)= Thanks
Answer:
-2 1/36 or -2.028
Step-by-step explanation:
tik(tok) slapddaddy
Explain why the following problem will have an irrational answer 4.125+3
Answer:
The answer is rational.
Step-by-step explanation:
It won' be irrational.
4.125 and 3 are rational.
Answer: The sum is a non-repeating
Step-by-step explanation:
The probability distribution of random variable, X, is defined as follows:
X 0 1 2 3 4
Probability 0 0.3 0.1 0.3 0.3
A) Explain if the above is a valid probability model.
B) Is the described random variable discrete or continuous?
C) What is the expected value (mean) of the probability distribution?
D) Calculate P(X = 3).
E) Calculate P(X < 4).
F) Calculate P(X > 0).
G) Calculate P(X = 5).
H) Calculate P(X = 0).
I) What is the total area under any density curve?
Answer and Step-by-step explanation:
A) For the model to be a probability distribution, it has to follow two conditions:
1) The probability of each value of the discrete random variable is between, and included, 0 and 1:
2) The sum of all probabilities is 1;
In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;
Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1
Therefore, this model is a valid probability distribution model.
B) They are discrete because each value correspond to a finite number of possible values.
C) Expected value is calculated by
[tex]E(X) = \Sigma xP(x)[/tex]
[tex]E(X) = 0.0 + 1*0.3 + 2*0.1 + 3*0.3 + 4*0.3[/tex]
E(X) = 2.6
D) P(X=3) = P(3), which means probability of 3:
P(X=3) = 0.3
E) P(X<4): probabilities of values of X that are less than 4:
P(X<4) = P(0) + P(1) + P(2) + P(3)
P(X<4) = 0 + 0.3 + 0.1 + 0.3
P(X<4) = 0.7
F) P(X>0) = P(1) + P(2) + P(3) + P(4)
P(X>0) = 0.3 + 0.1 + 0.3 + 0.3
P(X>0) = 1
G) P(X=5) = P(5)
There is no probability of P(5) because the model doesn't "cover" that number.
H) P(X=0) = P(0)
P(X=0) = 0
I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.
The answers are given as- A) Model is a valid probability distribution model.
B ) The described random variable is discrete.
C ) Mean E(X) = 2.6
D) P(X=3) = 0.3
E ) P(X < 4) = 2.6
F ) P(X > 0) = 1
G ) There is no probability of P(5)
H ) P(X = 0) = 0
I ) The total area of any density curve is 1
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
A) For the model to be a probability distribution, it has to follow two conditions:
In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;
Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1
Therefore, this model is a valid probability distribution model.
B) They are discrete because each value correspond to a finite number of possible values.
C) Expected value is calculated by
E(x) = ∑ P(x)
E ( x) = 0 + ( 1 x 0.3 ) + ( 2 x 0.1 ) + 3 ( 0.3 ) + 4 ( 0.3 )
E(X) = 2.6
D) P(X=3) = P(3), which means a probability of 3:
P(X=3) = 0.3
E) P(X<4): probabilities of values of X that are less than 4:
P(X<4) = P(0) + P(1) + P(2) + P(3)
P(X<4) = 0 + 0.3 + 0.1 + 0.3
P(X<4) = 0.7
F) P(X>0) = P(1) + P(2) + P(3) + P(4)
P(X>0) = 0.3 + 0.1 + 0.3 + 0.3
P(X>0) = 1
G) P(X=5) = P(5)
There is no probability of P(5) because the model doesn't "cover" that number.
H) P(X=0) = P(0)
P(X=0) = 0
I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.
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Consider a graph of the equation y = −3x + 4. What is the y-intercept? (5 points)
Answer:
The y-intercept would be 4
Step-by-step explanation:
Simon makes 5 towers of 10 blocks each.
Ron makes 6 towers of 10 blocks each.
How many blocks did they use?
Answer:
Simon used 50 blocks
Ron used 60 blocks
Together, they used 110 blocks.
Here is the question as an equation-
(5x10)+(6x10)=
combine like terms to simplify the expression: 2a+3b-4c-b+2a+2c
Hey there! I'm happy to help!
First let's combine all of the terms with a.
2a+2a=4a
Now the ones with b.
3b-b=2b
And the ones with c.
-4c+2c=-2c
So, our simplified expression is 4a+2b-2c.
Have a wonderful day! :D
Given g(x) = x + 5 and h(x) = 2x - 1, find the value of g(h(2)).
Answer: g(h(2))=8
Step-by-step explanation:
To find g(h(2)), you first need to solve h(2). After you find that value, you plug that value into g(x).
h(2)=2(2)-1 [multiply]
h(2)=4-1 [subtract]
h(2)=3
Now that we know h(2)=3, we plug 3 into g(x).
g(3)=3+5 [add]
g(3)=8
After we have plugged in h(2) into g(x), we got g(h(2))=8.
4.029 with number names
Answer:
Four and twenty nine thousandths
Step-by-step explanation:
F f(x) = 6x – 4, what is f(x) when x = 8?
Answer:
F(x) = 44
Step-by-step explanation:
f(x) = 6x - 4
x = 8
f(x) = 6(8) - 4
f(x) = 48 - 4
Answer:
Step-by-step explanation:
f(8) = 6(8) - 4= 48 - 4 = 44
Find a vector of magnitude 3 in the direction of v=12i-5k.
Answer:
The vector of magnitude 3 in the direction of [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex].
Step-by-step explanation:
Let be [tex]\|\vec u\| = 3[/tex] and [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex], the resultant in the direction of [tex]\vec v[/tex] can be obtained by using the following expression:
[tex]\vec u = \frac{\|\vec u\|}{\|\vec v\|} \cdot \vec v[/tex]
Where:
[tex]\|\vec v\|[/tex], [tex]\|\vec u\|[/tex] - Norms of [tex]\vec v[/tex] and [tex]\vec u[/tex], respectively.
Now, we get the norm of [tex]\vec v[/tex] by Pythagorean Theorem:
[tex]\|\vec v\| = \sqrt{12^{2}+(-5)^{2}}[/tex]
[tex]\|\vec v\| = 13[/tex]
The vector is now determined:
[tex]\vec u = \frac{3}{13} \cdot (12\,\hat{i}-5\,\hat{k})[/tex]
[tex]\vec u = \frac{36}{13} \,\hat{i}-\frac{15}{13}\, \hat{k}[/tex]
The vector of magnitude 3 in the direction of [tex]\vec v = 12\,\hat{i}-5\,\hat{k}[/tex].
what is 1/3 + 5/9? HELPPPPP PLSSS
Answer:
8/9 is the correct answer for you problem
1 by 3 + 5 by 9 is equal to 8 by 9 this is your answer thank you
(3+√2)^2 Please show work
Answer:
[tex] \boxed{\sf {(3+\sqrt{2})}^2 = 11 + 6 \sqrt{2} } [/tex]
Step-by-step explanation:
[tex] \sf \implies {(3 + \sqrt{2} )}^{2} \\ \\ \sf \implies (3 + \sqrt{2} )(3 + \sqrt{2} ) \\ \\ \sf \implies 3(3 + \sqrt{2} ) + \sqrt{2} (3 + \sqrt{2} ) \\ \\ \sf \implies (3 \times 3) + (3 \times \sqrt{2} ) + ( \sqrt{2} \times 3) + ( \sqrt{2} \times \sqrt{2} ) \\ \\ \sf \implies 9 + 3 \sqrt{2} + 3 \sqrt{2} + 2 \\ \\ \sf \implies 9 + 6 \sqrt{2} + 2 \\ \\ \sf \implies 11 + 6 \sqrt{2} [/tex]
Answer:
Exact Form:
[tex]11 +6\sqrt{2}[/tex]
Decimal Form:
19.48528137…
Step-by-step explanation:
Rewrite [tex](3+\sqrt{2} )^2[/tex] as [tex](3+\sqrt{2} )+(3+\sqrt{2} )[/tex]
Expand [tex](3+\sqrt{2} )+(3+\sqrt{2} )[/tex] using the FOIL method.
Apply the distributive property.
[tex]3(3+\sqrt{2} )+\sqrt{2} (3+\sqrt{2} )[/tex]
[tex]3*3 +3+\sqrt{2} +\sqrt{2} (3+\sqrt{2} )[/tex]
[tex]3*3 +3\sqrt{2} +\sqrt{2}* 3+\sqrt{2} \sqrt{2}[/tex]
Simplify and combine like terms.
Simplify each term.
[tex]9+3\sqrt{2} +3\sqrt{2} +2[/tex]
Add 9 and 2
[tex]11+3\sqrt{2} +3\sqrt{2}[/tex]
Add [tex]3\sqrt{2}[/tex] and [tex]3\sqrt{2}[/tex]
11+[tex]6\sqrt{2}[/tex]
The result can be shown in multiple forms.
Exact Form:
11+[tex]6\sqrt{2}[/tex]
and
Decimal Form:
19.48528137
....
The data to the right represent the top speed (in kilometers per hour) Of all the players (except goaltenders) in a certain soccer league. Construct (a) a relative frequency distribution (b) a frequency histogram, and (c) a relative frequency histogram. What percentage of players had a top speed between 22 and 25 9 km/h? What percentage of players had a top speed between 26 and 29.9km/h?Speed(Km/hr) Number of players10--13.9 414-17.9 718-21.9 2022-25.9 83 26-29.9 31930-33.9 179 a. Construct a relative frequency distributionb. The percentage of players that had a top speed between 22 and 25.9 km/h was :______c. The percentage of players that had a top speed less than 13.9 km/h was:_________
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Speed(Km/hr)___No of players__Relative freq
10--13.9_________4______4/612 = 0.0065359
14-17.9_________ 7______7/612 = 0.0114379
18-21.9________20_____20/612 = 0.0326797
22-25.9_______ 83_____83/612 = 0.1356209
26-29.9_______319____319/612 =0.5212418
30-33.9______ 179_____179/612 = 0.2924836
The percentage of players that had a top speed between 22 and 25.9 km/h was : 0.1356209 × 100 = 13.56%
c. The percentage of players that had a top speed less than 13.9 km/h was: 0.0065359 × 100 = 0.65%
Brainliest is given to the correct answer.
Four students calculated the volume of a 12.8 oz container. Their results are shown in the table. Whose calculation is the most accurate?
A. Wally’s
B. Rex’s
C. Amanda’s
D. Joni’s
Answer:
Joni.
Step-by-step explanation:
Joni's calculation is the closest to the actual value.
How much Wally was off: [tex]12.8-12.546=0.254[/tex]
How much Rex was off: [tex]12.8-12.59=0.21[/tex]
How much Amanda was off: [tex]12.8-12.69=0.11[/tex]
How much Joni was off: [tex]12.8-12.75=0.05[/tex]
She was off by 0.05, which is the smallest out of the other people.
This means that her calculation was the closest to the actual value of 12.8 oz.
Thus, her calculation is the most accurate.
what is the qoutient?
Answer:
Option (3)
Step-by-step explanation:
Given expression is,
(6 × 10⁸) ÷ (1.5 × 10⁻⁴)
We can rewrite the given expression as,
[tex]\frac{6\times 10^8}{1.5\times 10^{-4}}[/tex]
Now by solving this expression further,
[tex]\frac{6\times 10^8}{1.5\times 10^{-4}}=\frac{6}{1.5}\times \frac{10^8}{10^{-4}}[/tex]
[tex]=4\times 10^8\times 10^4[/tex] [Since [tex]\frac{1}{10^{-4}} =10^4[/tex]]
= [tex]4\times 10^{(8+4)}[/tex]
= [tex]4\times 10^{12}[/tex]
Therefore, Quotient of the given expression is [tex]4\times 10^{12}[/tex].
Option (3) will be the answer.
What is the difference between the solution of a linear
equation and the solution to a linear inequality?
help hurry pleaseeeee
Answer: its the first one bud
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
If you find the given values on the number line and compare them, you can see that -2 is further to the right than -2.5, so -2 is greater than -2.5.
The further to the right a number is, the greater it is.
Hello, please help me with this question. Thanks.
Answer:
a) FKR and F'KR form supplementary angles
b) FK = F'K
EF = E'F'
(They are reflected by mirror)
3/4 divided by 3/16?
30 60 90 triangle please help thank u
Answer:
√6
Step-by-step explanation:
The short leg is half the hypotenuse, so √8÷2=√2
The base is √3 times the short leg, so √2·√3=√6
Ella is 12.537 miles from her house which shows the value of 12.537 rounded to the nearest tenth and nearest hundredths F 12.6, 12.54 G 12.5, 12.54 H.13.0, 12.53 J 12.5, 12.53
Answer:
12.5 is to the nearest tenth
12.54 is to the nearest hundredth
Step-by-step explanation:
12.537
The first number after the decimal is the tenths place
we look at the number after it to determine whether to round up or down
12.53 the 3 is less than 5 so we leave it alone
13.5 is rounded to the nearest tenth
The second number after the decimal is the hundrdeths place
we look at the number after it to determine whether to round up or down
12.537 the 7 is greather than or equal to 5 so we round up
13.537 is rounded becomes 13.54
The midpoint of AB is M(-2, -1). If the coordinates of A are (-7, 2), what are the coordinates of B?
Answer:
Coordinates of B is (3,-4)
Step-by-step explanation:[tex]\frac{-7+x^{2} }{2}=-2[/tex]
[tex]\frac{2+y^{2} }{2} =-1[/tex]
You multiply -2 by 2 to get -4 and then create the equation [tex]-7+x^{2} = -4[/tex] then you substitue -7 for +7 and add +7 to -4 which gives you 3 (x coordinate of B)
You multiply -1 by 2 to get -2 and then create the equation[tex]2+y^{2} =-2[/tex] then you subtract 2 by -2 which gives you -4 (y coordinate of B)
To check your answer use the midpoint formula [tex]( \frac{x^{1} +x^{2}}{2} ) ( \frac{y^{1} +y^{2}}{2} )=M[/tex]
[tex]\frac{-7+3}{2} =\frac{-4}{2} =-2\\\frac{2+ -4}{2} =\frac{-2}{2} =-1[/tex] which will give you the midpoint (-2,-1)
The required coordinate of the endpoint B is given as (3, -4).
What is the midpoint?A midpoint is a point on the line whose distance from both ends of the line is equal.
Here,
midpoints between any two points are given as,
x = x₁ + x₂ / 2 ; y = y₁ + y₂
since, the midpoint of AB is M(-2, -1). If the coordinates of A are (-7, 2),
So we have (x , y) = (-2, -1) and A(x₁, y₁) = (-7, 2), and to determine B(x₂, y₂)
Now.
x = x₁ + x₂ / 2 ; y = y₁ + y₂/2
-2 = -7 + x₂ /2 ; -1 = 2 + y₂ /2
x₂ = 3 ; -4
Thus, the required coordinate of the endpoint B is given as (3, -4).
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Stephanie buys a book in a sale for $19.20 . This sale price is after a reduction of 20%. Calculate the original price of the book
Answer:
$96 is the original price of book
Step-by-step explanation:
keep the unknown value as X
(19.2/X)*100 = 20%
19.2/X = 0.2
19.2/0.2 = X
X = 96
The original price of the book is $24.
When there is a sales, the price of items become cheaper. Items become less expensive when there is a sale.
When there is a 20% reduction in the price of the book, the book becomes 80% (100 - 20%) cheaper. In order to determine the original price of the book, divide the sales price by 80%
Original price = $19.20 / 80%
= $19.20 / 0.8
= $24
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Hi I need help with this question please thank you
Answer:
hope this helped! Can you give me brainliest please? :))
Step-by-step explanation:
A: -7
E: +6.9
Explain why commutative and associative properties don’t hold true for subtraction and division but the identity properties do ?
Glad I can help you!!
Answer:
Definition: The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis.
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.
If satisfied please leave a review and feel free to give me brainiest.
I need help thank you :)
Answer:
B. The y- axis
Step-by-step explanation:
If you look at a 4 quadrant graph you can see the line of the reflection
linear function A and linear function B both have the same values as shown below. why will the output values for linear function A always be different than the corresponding output values for linear function B
Answer:
La abscisa x del centro de masa está en reposo (velocidades opuestas)
Vx = 0
La ordenada del centro de masa es:
y = h + Vo sen(α) t + Vo sen(α) t = h + 2 Vo sen(α) t
La velocidad es la derivada de y respecto del tiempo:
Vy = 2 Vo sen(α)
b) Momento lineal (p = m V)
En el eje x: px = 0 (momento lineal)
En el eje y: py = 2 m Vy = 4 m Vo sen(α)
dame corazon y 5 estrellas
Step-by-step explanation:
5 5/6 - 3 1/3 in its simplist form
Exact Form: 5/2
Decimal Form: 2.5
Mixed Number Form: 2 1/2
Answer:
2.5 or 5/2 or 2 1/2
Step-by-step explanation:
-4x=12
how do i awnser this
Answer:
x=-3
Step-by-step explanation:
it just simple divide both sides by -4
-4x / -4 = 12/-4
x=-3
Answer:
-3
Step-by-step explanation:
Divide 12/-4
Which equals -3 So that would be you answer
