Answer:
P-value = 0.0046
Step-by-step explanation:
Given that:
Sample size n = 290
sample mean [tex]\overline{x_1}[/tex] = 4.1
standard deviation [tex]\sigma[/tex] = 0.6
population mean [tex]\mu[/tex] = 4.2
The null and the alternative hypothesis
[tex]\mathbf{H_o: \mu = 4.2} \\ \\ \mathbf{H_a: \mu \ne 4.2}[/tex]
This is a two-tailed test.
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = \dfrac{4.1 - 4.2 }{\dfrac{0.6}{\sqrt{290}}}[/tex]
[tex]Z = \dfrac{-0.1 }{\dfrac{0.6}{\sqrt{290}}}[/tex]
Z = -2.838
P-value = P(Z> 2.838)
P-value = P(Z< -2.838) +P(Z > 2.838)
P-value = 0.00227 + (1 - 0.9977)
P-value = 0.00457
P-value = 0.0046 (to 4 decimal places)
Identify the end behavior that goes with each function.
Answer:
Step-by-step explanation:
Question
Identify the end behavior that goes with each function.
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Compare 8 and -11. Which of the following is true?
O A. 18> T-111 and 8 < -11
B. 188 = 1-11 and 8 >-11
C. 18[<1-11 and 8 >-11
D. 18] > 1-11 and 8 >-11
please help
Solve:
Write your answer in the following format:
(x,y)
with no spaces.
Answer:
it 10 because if x =9 then y=10
What is the result of converting 1250 yards into miles? Remember that 1 mile = 1760 yards.
A.
4.22 miles
B.
1.41 miles
C.
0.24 miles
D.
0.71 miles
Answer:
Step-by-step explanation:
1.41
Derivative of sin(x+y)
Answer:
[tex] \frac{dy}{dx} = \frac{ \cos(x + y)}{[1 - \cos(x + y)] } [/tex]
Step-by-step explanation:
Let y = sin(x+y)
Differentiating with respect to x on both sides.
[tex] \frac{dy}{dx} = \frac{d}{dx} \sin(x + y) \\ \\ \frac{dy}{dx} = \cos(x + y)\frac{d}{dx} (x + y) \\ \\ \frac{dy}{dx} = \cos(x + y)(1 + \frac{dy}{dx}) \\ \\ \frac{dy}{dx} = \cos(x + y) +\cos(x + y) \frac{dy}{dx} \\ \\ \frac{dy}{dx} - \cos(x + y) \frac{dy}{dx} = \cos(x + y) \\ \\ \frac{dy}{dx} [1 - \cos(x + y)] = \cos(x + y) \\ \\ \purple {\bold {\frac{dy}{dx} = \frac{ \cos(x + y)}{[1 - \cos(x + y)] }}} [/tex]
Find the surface area of the following figure.
Answer:
[tex]\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.[/tex]
Step-by-step explanation:
A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,
From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .
We know the area of square as ,
[tex]\qquad\boxed{\sf Area_{(square)}= side^2}[/tex]
Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .
Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,
[tex]\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}[/tex]
Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .
[tex]\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x \\\\\sf\implies x = \dfrac{ b}{3}[/tex]
[tex]\rule{200}2[/tex]
Hence the TSA of cuboid in terms of lenght and breadth is :-
[tex]\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}[/tex]
Solve for X
Can you please help
Answer:
x = 10
Step-by-step explanation:
[tex]5x + 19 = 7x - 1 \\ (corresponding \: \angle s) \\ \\ 5x - 7x = - 1 - 19 \\ \\ - 2x = - 20 \\ \\x = \frac{ - 20}{ - 2} \\ \\ x = 10[/tex]
What is the formula for 3cm, 5cm, and 4cm (3cm being the height and the 4 the base) and its a right triangle
Answer:
No se perdon nesesito puntos
The usual price of a sweatshirt is $18, what is its sale price?
Answer:
I feel like there is more to that question can you put the whole question
2. Ashton is x years old. Bentley is 2 years older than Ashton. Three times Bentley’s age is equal to 18. The purpose of this exercise is to check your understanding on setting up equations and showing the steps to solving a simple equation. (c) Use the information above to set up another equation or expression and solve to show old Bentley is.
thank you!
Answer:
the awnser is that Bently is 6 And Ashton is 4
Step-by-step explanation:
the reason I get this awnser is because it says that bently is 2 years older than Ashton and 3 times so you think what can be times 3 so the first awnser i got was 6 because 6 times 3 equals 18 so then I subtracted 2 from that to create the number of 6 for Bentley and 4 for Ashton
BRAINLIEST PLEASESelect the functions that are equivalent to P(t) = 76529( 1.21), where t is time in
years.
P(t) = 76529(1.049)4t
P(t) = 76529(1.032) 6t
P(t) = 76529(1.00834) 2t
P(t) = 76529(102.1)
21
P(t) = 76529 1.212
P(t) = 76529(1.016)121
P(t)=75529(1.21 1/2)2t
P(t)=76529(1.016)12t
Answer:
Step-by-step explanation: have a good one
Find the product. Draw a quick
3 x 0.54 =
Answer:
That is 1.62.
Step-by-step explanation:
Hope this helps.
Answer:
1.62 is your answer
A triangle has side lengths
that measure (3x + 4), (7x
+ 5) and (2x - 1). If the
perimeter of the triangle is
greater than or equal to 74,
what are the possible
values of x?
Answer:
x is greater or equal to 5.5
Step-by-step explanation:
The two-way table shows the ages of the players on different soccer teams.
Answer:
3rd one down is the answer
Answer help need answer now plz help
Answer:
I think the answer is A
maybe it's right
some body help me for find the answer thank you
Answer:
Step-by-step explanation:
As similar triangle hence their correspondiing sides will be proportional,
let the side we want to know is x,
18/x = 11.2/40
x = 18*40/11.2
x= 64.3
9. There are a total of 400 balls in a box. Sixteen percent (16%) of these are red, 21% are
blue, 8% are yellow and the rest are white. How many white balls are there in the box?
a. 45
b. 55
C. 140
d. 220
Step-by-step explanation:
your answer is D 220 white balls.
Abdi reads for twice as many hours per week as Sarwan. Together they read for a
total of 24 hours in one week.
Find the number of hours each person spent reading
that week.
Write two equations to represent the information.
Use the method of substitution to find the number of hours each person spent
reading that week.
Answer:576
Step-by-step explanation:
24x24=576
A mechanical engineer is creating a new composite carbon fiber material made from two different materials. The strength of the carbon fiber material depends on how much pressure it can withstand, and it follows a standard normal distribution. The new carbon fiber material will be slated for research and development purposes if it can withstand more than 2.15 standard deviations above the mean of pressure compared to the individual materials. Fiber material that withstand less than 2.15 standard deviations above the mean of pressure when compared to the individual materials are not of research interest. What is the probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
Answer:
0.9842 = 98.42% probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
What is the probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
This is the pvalue of Z = 2.15.
Z = 2.15 has a pvalue of 0.9842
0.9842 = 98.42% probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials
What would happen to the graph of a line if the equation y=1/3x + 1 is
changed to y = -3x+ 1?
Answer:
b
Step-by-step explanation:
Answer:
The answer would be B.
find the mean of the set of the numbers given 25,20,23,22
Answer:
The Mean of the set of the numbers x⁻ = 22.5
Step-by-step explanation:
Given a set of the numbers
25,20,23,22
Mean of the given data
∑x/n
Mean of the given data
[tex]\frac{25+20+23+22}{4} = \frac{90}{4} = 22.5[/tex]
The Mean of the set of the numbers x⁻ = 22.5
I need this please help me
Answer:
Yesthe data table and the statment mean the same thing:)
Step-by-step explanation:
Mr. Wilson spent $252 to stay 3 nights at pavia. Pavilions. At that rate, how much is he spending per night
What is the slope of the linear function given the following table?
х у
-3. 7
-2. 5
-1. 3
0. 1
2. -3
Help please !
Answer:
3rd one
Step-by-step explanation:
Somebody help me ASAP
Dum white animal ew stop
convert each statement in-if then form.
quadrilateral is a figure with four sides.
Answer:
Step-by-step explanation:
If a quadrilateral is a figure, then it has four sides.
The following data represent highway fuel consumption in miles per gallon (mpg) for a random sample of 55 models of passenger cars (Source: Environmental Protection Agency). 30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31 For this problem, use five classes. (a) Find the class width. (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Give relative frequencies to 2 decimal places.) Class Limits Midpoint Freqeny Relative |Cumulative (c) Draw a histogram.
Answer:
11 ;
Step-by-step explanation:
Given the data:
30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31
Number of classes = 5
Class width : Range / number of classes
Class width = (maximum - minimum) / 5
Class width = (52 - 2) / 5 = 50/5 = 10 + 1 = 11
For the frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies and histogram
Kindly check attached picture
• Explain why 3 + x and x + 3 are equivalent.
Answer: Becuase of the communitive property
Step-by-step explanation:
For example say you have 5 + 6
5 + 6 = 11
6 + 5 =11
no matter how you flip it, it's always the same
What is the factored form of the polynomial?
x² - 122+27?
(x + 4)(x + 3)
(x - 4)(x+3)
(x + 9)(x + 3)
O (x - 9)(x-3)
Answer:
x^2-95
Step-by-step explanation:
Answer:
(x - 9)(x - 3).
Step-by-step explanation:
x^2 - 12x + 27.
We need 2 numbers whose product is +27 and whose sum is -12.
They are -9 and -3 so the answer is:
(x - 9)(x - 3).
374x+3=2995 ME GIVE BRAIN I MUST DO MY HOMEWORK you lifesaver...
Hi there!
x=8
1.Subtract the answer with the 3 / subtract the terms:
[tex]2995-3=2992[/tex]
2.Divide the two terms:
[tex]2992*374=x[/tex]
Therefore, x=8