Answer: infinitely many
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 290 engines and the mean pressure was 4.1 pounds/square inch (psi). Assume the population standard deviation is 0.6. The engineer designed the valve such that it would produce a mean pressure of 4.2 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.02 will be used. Find the P-value of the test statistic. Round your answer to four decimal places.
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)
Is the following number rational or irrational?
0.7
Choose 1 answer:
A
Rational
B
Irrational
Answer:
it is rational cause it can be turned into a fraction 0.7= 7/10
Different shapes are drawn on cards and then the cards are placed in a bag. The number of cards for each shape is shown in the table.
Shape octagon square circle
Number of cards 12 27 91
What is the probability that a randomly selected card has a circle drawn on it?
Answer:
5 %
Step-by-step explanation:
I need this please help me
How does the distance of the mouse change every 2 seconds? 0) Every 2 seconds, the distance the mouse travels i___ by __ feet.
Time|. 0|2|4|6
Distance|0|22|44|66
There's the graph please help
Answer:
22 feet (if the distance is in feet, and the time in seconds)
Step-by-step explanation:
t = time
d = distance
To see if the mouse's distance is proportional to the time, you divide the distance with the time:
[tex]t_{3}[/tex] = 4
[tex]d_{3}[/tex] = 44
44 / 4 = 11
[tex]t_{4}[/tex] = 6
[tex]d_{4}[/tex] = 66
66 / 6 = 11 (the same as with 44 / 4. This means that the mouse distance and time is proportional)
Every second the mouse travels 11 feet.
And every other second the mouse travels 22 feet. (since (1, 11)*2 = (2, 22))
That may have been confusing, and if you have any questions, don't be afraid to ask them in the comments below!
Have a good day!
Answer:
increases by 22
Please Answer I Would Really Appreciate It :)
The sum of two numbers is 20.5 and the difference of the same two numbers is 6.5.
Find the two numbers. *
Answer:
13.5 and 7
Step-by-step explanation:
x + y = 20.5
x - y = 6.5
Hence,
x = 20.5 - y
20.5 - 2y = 6.5
Hence,
2y = 14
y = 7
and x = 20.5 - y = 20.5 - 7 = 13.5
The two numbers are are 13.5 and 7.
What linear equations represents the numbers?a + b = 20.5 equation 1
a - b = 6.5 equation 2
Where a and b represents the two numbers
What is the value of b?In order to determine the value of b, subtract equation 2 from 1
2b = 14
Divide both sides by 2
b = 7
What is the value of a?Substitute for b in equation 1
a + 7 = 20.5
a = 20.5 - 7
a = 13.5
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
657.9 as a whole number
Answer: I would believe all you have to do is round up making the number 658 lad :)
Step-by-step explanation:
Have a good day :)
Stay safe and stay awesome :D
1. 5/6 3/8, least common denominator) 2. 1/3 2/7 least common denominator)
Answer:
1.) The LCD is 24
2.) The LCD 21
Step-by-step explanation:
20/24 is equivalent to 5/6 and 9/24 is equivalent to 3/8
7/21 is equivalent to 1/3 and 6/21 is equivalent to 2/7
6(y-12) someone please help
Answer:
-6y
Step-by-step explanation:
6 - 12 = -6
-6 * y = -6y
Hope this helps :)
Answer:
6y-72
Step-by-step explanation:
how do I do the substitution method?
Step-by-step explanation:
1: Solve one Equation for one of the variables
2: Substitute (plug-in) this expression into the other equation and solve
3: Resubtitue the value into the original equation to find the corresponding variable
Answer:
1. Solve one equation for one of the variables.
2. Substitute (plug-in) this expression into the other equation and solve.
3. Resubstitute the value into the original equation to find the corresponding variable.
Now at first glance, this may seem complicated, but it'll get easier along the way. <3
Done by NeighborhoodDealer
Can someone please help me please
Answer:
it's answer is C. 12/10 = 4 / x
Step-by-step explanation:
As the triangles are similar so
4/12 = x/10
Or cross multiply then
12/10 = 4/x
Hope it will help :)
A grocery store sells a can of soup for $2.40 If they apply a 60% markup before selling it how much did the grocery store pay for the soup
Answer:
$0.96
Step-by-step explanation:
You will pay $0.96 for a item with original price of $2.40 when discounted 60%. In this example, if you buy an item at $2.40 with 60% discount, you will pay 2.40 - 1.44 = 0.96 dollars.
Hope this helps
can’t find the answer anywhere, pls help
Answer:
Answer is
11
I'm just now learning
11 is the answer dear friend
The price of gasoline rose from $1.54 to $3.85.
A: What is the percent increase?
B: If the price reverses from $3.85 to $1.54, what is the percent decrease?
Answer:
Step-by-step explanation:
dollar amount of increase = $3.85 - $1.54 = $2.31
percentage increase = (amount of increase)/(original price) = $2.31/$1.54 = 1.5 = 150%
HURRY I NEED THIS QUICK Choose the two examples that represent volume.
A. the length of a path
B. the surface of a mirror
C. the amount of sand in a sand castle
D. the amount of water in a water balloon
E the amount of weight an elevator can hold
Use synthetic substitution to find |(3) for f(x) = x2 - 9x +5.
Oa. 41
Ob.-23
Oc. -13
Od. -16
Answer:
-13
Step-by-step explanation:
5.1 Percentage changes
1. In February 2019, 195,676 mortgages were outstanding in the UK, which represented 0.38%
of all mortgages. How many total mortgages were in the UK market at that time?
Answer:
Rounded to the nearest integer, at that time there were about 51,493,684 mortgages in the UK market.
Step-by-step explanation:
Given that in February 2019, 195,676 mortgages were outstanding in the UK, which represented 0.38% of all mortgages, to determine how many total mortgages were in the UK market at that time the following calculation must be performed:
0.38 = 195.676
100 = X
(100 x 195,676) / 0.38 = X
19,567,600 / 0.38 = X
51,493,684.21 = X
Thus, rounded to the nearest integer, at that time there were about 51,493,684 mortgages in the UK market.
QUESTION IS IN THE PICTURE, PLEASE HELP!!
Answer:
The median is 5, mode is 5, and range is 12
Step-by-step explanation:
Answer:
MEDIAN - 5
MODE - 2 (4times)
RANGE - 13-1=12 (12 is the range)
Step-by-step explanation:
MEDIAN - Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
MODE - The mode is the element that occurs most in the data set. In this case, 2 occurs 4 times.
RANGE - Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 13-1=12
Find the whole.
140% of ___ is 35
Answer:
140 percent (calculated percentage %) of what number equals 35? Answer: 25.
Step-by-step explanation:
Answer:4
Step-by-step explanation:
4
if the body temperature in 98.6. what is the temperature in celcius
Answer:
37 Degree celcius; is the correct answer...
mr stone paid $1750 for a new computer at the apple store, if the sales tax is 7.5% what is the final cost. I have 1881.25 must be rounded to the nearest 100th
Answer:
$1881.25
Step-by-step explanation:
Final cost of the computer
[tex] = 1750 + 7.5\% \: of \: 1750 \\ \\ = 1750 + 0.075 \times 1750 \\ \\ = 1750 + 131.25 \\ \\ = \$ 1,881.25[/tex]
How do you graph X>=4y?
Answer:
[tex]x\geq 4y\\y\leq \frac{x}{4}[/tex]
which inequality has the same solution set as 3(q + 6) > 11?
3q + 18 < 11
3q + 6 > 11
q + 18 > 11
q + 18 > 11
Given:
The inequality is
[tex]3(q+6)>11[/tex]
To find:
The inequality that has the same solution set as the given inequality.
Solution:
We have,
[tex]3(q+6)>11[/tex]
Using distributive property, we get
[tex]3(q)+3(6)>11[/tex]
[tex]3q+18>11[/tex]
Since the given inequality can be rewritten as [tex]3q+18>11[/tex], therefore the inequality [tex]3q+18>11[/tex] has the same solution set as [tex]3(q+6)>11[/tex].
Hence, all options are incorrect. The required inequality is [tex]3q+18>11[/tex].
Answer:
3q+18 > 11
Step-by-step explanation:
A car travels about 46 feet in one second. At this speed,
about how many feet will the car travel in 2 seconds?
A
920 feet
B
48 feet
480 feet
D
92 feet
wo 6-sided number cubes are rolled for a board game. The 2 numbers are then added together to determine how many spaces the player advances on the board. Select the method of display that would be best for showing all of the outcomes for each number cube and the sums that would result. Create the display, and justify the reasoning behind your choice.
Answer:
The odds of rolling a 3 on a 6-sided number cube is 1 out of 6. The odds of rolling a 3 on either of two 6-sided cubes are 1/3. This is because 1/6 * 2 = 1/3. Therefore, an average of one-third of rolls will have a 3 in them. 1/3 expressed as a decimal is .3 repeating (.3333333 etc) and that rounds to 33 which is less than 34.
Step-by-step explanation:
Help please if you know the answer
Answer:
180-140=a
180-90=b
180-a-b= your ans
(8p-2)(6p+2)
multiplying polynomials please help me
Answer:
48p2+4p-4
Step-by-step explanation:
Answer:
48p² +4p -4
Step-by-step explanation:
A polynomial of two terms is called a 'binomial'.
Here, we are multiplying 2 binomials.
This is so common, there is a standard way to do it. The method is called FOIL, which means "firsts, outsides, insides, then lasts"
You do it like this:
multiply the 'first terms' of each binomial --> 8p*6p = 48p²
multiply the 'outside' terms, far left and far right --> 8p*2 = 16p
multiply the 'inside' terms, the two terms in the 'middle' --> -2*6p = -12p
multiply the 'last' terms of each binomial --> -2 * 2 = -4
Add 'like' terms: 48p² + (16p - 12p) -4
Answer ---> 48p² +4p -4
Find the product
0.037 · 0.26
math problemmmmm
—————————-
Answer:
The answer to your question is x = 4
x=4
Step-by-step explanation:
To start figuring this out, you need to combine like terms.
To start, you can combine all terms containing the variable x, which is 2x and 3x. This would then make the equation 5x+7-2=25.
You then need to combing the singular numbers, 7 and -2. Doing this brings the equation to 5x+5=25.
From here, subtract 5 from both sides to get you 5x=20.
Finally, you divide both sides by 5 to get you x=4.
I hope this helped!! Let me know if you need any further help!