Answer:
0.01
Step-by-step explanation:
cause 47 x 0.01 + 0.047
The power of 10 that you would dived it by would be 1,000.
Because here we have 3 option 10, 100, and 1,000. So what we would do is divide each one to that main number "47"
47 ÷ 10 = 4.747 ÷ 100 = 0.4747 ÷ 1,000 = 0.047Learn more at https://brainly.com/
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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.6 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 5.7 pounds/square inch. Assume the variance is known to be 0.25. A level of significance of 0.01 will be used. Make a decision to reject or fail to reject the null hypothesis.
Answer:
The decision rule is
Reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 5.6 \ pounds/inch^2[/tex]
The sample size is n = 160
The sample mean is [tex]\= x = 5.7 \ pounds/ inch^2[/tex]
The variance is [tex]\sigma ^2 = 0.25[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : \mu = 5.6[/tex]
The alternative hypothesis is [tex]H_a : \mu > 5.6[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\sigma ^2 }[/tex]
=> [tex]\sigma = \sqrt{0.25 }[/tex]
=> [tex]\sigma = 0.5[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{5.7 - 5.6 }{ \frac{0.5 }{\sqrt{ 160 } } }[/tex]
=> [tex]z = 2.53[/tex]
From the z table the area under the normal curve to the left corresponding to 2.53 is
[tex]p-value = P(Z > 2.53 ) =0.0057[/tex]
From the value obtained we see that the [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the believe that the valve performs above the specifications is true
Which two traits are aquired during a person's lifetime?
Answer
D and A?
Step-by-step explanation:
Find the slope and the y-intercept of the line.
5x - 4y= -16
Write your answers in simplest form.
Step-by-step explanation:
Use the slope-intercept form
y=mx+b
to find the slope m and y-intercept b
Slope: 5/4
y-intercept: (0,-4)
Question 15 (1 point)
The surface area of a sphere varies directly with the square of its radius. A soap bubble with a
0.75 in. radius has a surface area of approximately 7.07 square inches. Find the value of k, and
then find the radius of a seventeenth-century cannonball that has a surface area of 113.1
square inches.
Answer:
The value of k is 12.57Radius of a seventeenth-century cannonball is 2.999 inches which can be rounded off to 3Step-by-step explanation:
Let s be the surface area and r be the radius
Then according to given statement
s∝r²
Removing the proportionality symbol introduces k, the constant of proportionality
[tex]s = kr^2[/tex]
Now
A soap bubble with a 0.75 in. radius has a surface area of approximately 7.07 square inches.
Putting in the equation
[tex]7.07 = k (0.75)^2\\7.07 = k * 0.5625\\k = \frac{7.07}{0.5625}\\k = 12.5688..\\k = 12.57[/tex]
The euqation beomes
[tex]s = 12.57r^2[/tex]
Putting s = 113.1 in the equation
[tex]113.1 = 12.57r^2\\r^2 = \frac{113.1}{12.57}\\r^2 = 8.99761...\\\sqrt{r^2} = \sqrt{8.9976..}\\r = 2.9996..[/tex]
Hence,
The value of k is 12.57Radius of a seventeenth-century cannonball is 2.999 inches which can be rounded off to 3X = 3/4. Y = -1/2.
What is x + y?
If f(x)=6x-2, what is the value of f(4)?
Please explain I don’t understand these questions.
Answer:
I think it might be 16 or 24.
Step-by-step explanation:
Pardon if I'm wrong.
Explain why -6(3)=-18
Answer:
Step-by-step explanation:
- 6 (3)=-18
when you multiply 6 x 3. it would be 18 using multiplication and then a positive and a negative equals a negative so then a the 18 would become - 18.
true or false all states have a sale tax
Answer:
False
Step-by-step explanation:
As of 2017, 5 states (Alaska, Delaware, Montana, New Hampshire and Oregon) do not levy a statewide sales tax. California has the highest base sales tax rate, 7.25%. Including county and city sales taxes, the highest total sales tax is in Arab, Alabama, 13.50%.
Can someone tell me if I’m correct
Complete the steps for using a Area Model to solve 504 ÷ 14
//Please help this is my last thing
Answer: hc
Step-by-step explanation:
I need help please and thanks
Answer:
68 degrees
Step-by-step explanation:
1 & 6 have to equal 180. Therefore, if 1 is 112 then you take 180-112. Then you get 68 degrees.
Answer:
Angle 6 would be 68 degrees
Step-by-step explanation:
Angles 1, 3, 5, and 7 all equal 112. you would subtract 112 from 180 to get the measurement for angles 2, 4, 6, and 8
2x - 3y = 8
9y - 6x = - 2
Answer:
what?????????????????
Step-by-step explanation:
how do you want me to solve with a fraph or sometging else
20)
Rachael has two jobs. She earns $9 per hour babysitting, and she earns $12 per hour working at the coffeehouse.
Rachael wants to earn a minimum of $240. Which inequality represents this situation, if x represents hours babysitting
and y represents hours at the coffeehouse?
A)
12x + 9y <240
B)
9x + 12y > 240
0
12x + 9y s 240
D)
9x + 12y 2 240
Answer:
babysitting = $9
working at coffeehouse = $12
x = hours for babysitting
y = hours at coffeehouse
minimum = ≥
9x + 12y ≥ 240
Step-by-step explanation:
just a short note on which symbol you should use when you see these words in inequality questions:
i) use ≥
-more than or equal to
-not less than
-at least
-minimum
ii) use >
-more than
-greater than
iii) use ≤
-less than or equal to
-not more than
-at most
-maximum
iv) use <
-less than
The inequality 9x + 12y ≥ 240 represents that Rachael wants to earn a minimum of $240 if she earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Rachael earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.
x is the number of hours babysitting.
y is the number of hours at the coffee-house.
9x + 12y ≥ 240
Because, Rachael wants to earn a minimum of $240.
Thus, the inequality 9x + 12y ≥ 240 represents that Rachael wants to earn a minimum of $240 if she earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.
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5(p + 10) = (Simplify your answer.)
Answer:
Here it is simplified
Step-by-step explanation:
Is this graph continuous or discontinuous?
What is the equation of the line that passes through the points (-1, 3) and (1, 11)? (5 points)
4x - y = 1
x - 4y = -13
4x - y = -7
4x + y = 1
Answer:
4
Step-by-step explanation:
I am pretty sure its that one
1. Write the postulate that confirms each statement.
Step-by-step explanation:
1. Angle GFH and Angle KFH forms linear pair
and hence they are supplementary
( sum of the angles = 180° )
10 -(-6) can someone solve this for me please
Step-by-step explanation:
1 0 +6 =16
........................
Answer: its 16 :)
Step-by-step explanation: see the negitive sign next the negitive, that means its positiveee
The value of V-9 is not-3 because
Answer:
the answer is D
Step-by-step explanation:
√-9 ≠ -3
-3 ≠ √-9
(-3)² ≠ -9 ( proven )
9 ≠ -9
The value √-9 ≠ -3², option D is correct answer.
What is an imaginary number?An imaginary number is a number that, when squared, has a negative result.
Given an expression, √-9
√-9 ≠ -3
-3 ≠ √-9
(-3)² ≠ -9
9 ≠ -9
Hence, √-9 ≠ -3²
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Which of the following represents an inequality statement with a solution of
Please help out I’ll give you brainliest
Answer:
the second to last one
Step-by-step explanation:
Sorry if it is incorrect!
Help anyone
8th grade math need it asap
Answer:
[tex] \frac{7}{10} [/tex]
Answer:
7/10
Step-by-step explanation:
If you move the decimal point to over to the right, also known as multiplying by a hundred, then you get 70. Right now we have 70/100
Simplify even further you would get 7 / 10
The prices for a couch, love seat, and chair are $789, $605, and $284. If the total tax paid is $100.68, which amount is closest to the total cost, in dollars, for all three pieces?
Answer:
1778.68 I think
Step-by-step explanation:
Answer:
605
I just got confused sorry.
PLEASE, ANYONE, HELP!! I WILL GIVE BRAINLIEST IF YOU'RE CORRECT AND 20 POINTS!!
Answer:
-300
Step-by-step explanation:
z = -21/0.07
z = -300
Answer:
-300
Step-by-step explanation:
Divide -21 by 0.07 to get -300
Swedish researchers concluded that viewing and discussing art soothes the soul and helps relieve medical conditions such as high blood pressure and constipation. This conclusion was based on a study in which 10 elderly women gathered once a week to discuss different works of art. The study also included a control group of 10 elderly women who met once a week to discuss their hobbies and interests. At the end of 4 months, the art discussion group was found to have a more positive attitude, to have lower blood pressure, and to use fewer laxatives than the control group.(a) Why would it be important to determine if the researchers assigned the women participating in the study at random to one of the two groups?i) Assigning women at random ensures that the two groups are comparable.ii) Assigning women at random satisfies the conditions of a single-blind experiment. iii) Assigning women at random is not important for the study and can be neglected.(b) Explain why you think that the researchers included a control group in this study.i) A control group is absolutely unnecessary hereii) A control group allows the experiment to be conducted once more if the first attempt failed. iii) A control group is used to increase the size of the sampleiv) A control group provides a baseline for comparisons to determine treatment effects.
Answer:
i) Assigning women at random ensures that the two groups are comparable.
iv) A control group provides a baseline for comparisons to determine treatment effects.
Step-by-step explanation:
(a)
It is pertinent that there two comparable groups. In light of the fact that it will help in making better decisions since there will be some people who have blood pressure as a result of uncontrolled physical characteristics such as anger, positive attitude, lower blood pressure. etc Thus, there is a need to consider two equivalent groups.
(b)
A control group is used as a benchmark for determining the cause and effect of a treatment on a given experimental group. This may be in regard to the social aspect of meeting other individuals involved that make up the physical changes.
which is bigger 1.7m or 0.9m
Suzy is ten years older than Belly, and the next year she will be twice as old as Billy. How old are they now? Show solution.
Answer:
I understand there is a typo, so Belly and Billy are the same person. His age is represented as B, and Suzy's as S.
S = 19
B = 9
Step-by-step explanation:
Suzy is ten years older than Belly:
(1) S = B + 10
the next year she will be twice as old as Billy
(2) S + 1 = 2 (B + 1)
solving the system of equation (1) and (2):
Making (2) - (1):
1 = 2 (B + 1) - B - 10 => 1 = 2 B + 2 - B - 10 => 1 = B - 8 => B = 9
replacing in (1) S = 19
5/6 - (-2/3)
Steps please
Answer:
9/6
Steps:
5/6 - (-2 x 2)
____. = 9/6
3 x 2
Haylee swam for 1 and 1/2 hours on Saturday and 1 and 2/3 hours on Sunday. How many hours did she swim in all?
Answer:
She swam for 3 hours 10 minutes
What is the value of x in the rhombus below?
O A. 17
O B. 35
O C. 53
O D. 37
Answer:
∴ x= 17
Step-by-step explanation:
the total of angel in 90°
∴ 2x+3+3x+2 =90
∴ 5x +5 =90
5x=90-5
5x = 85 (divide both side by 5)
∴ x= 17
Answer:17
Step-by-step explanation:
big brain knowledge
Solve #13 & #14 please ASAP!!!
Answer:
4th test is a great
Step-by-step explanation:
ok is the for this year as a family