Answer:
"0.0749" is the correct solution.
Step-by-step explanation:
Given:
Mean,
[tex]\mu=5000 \ hours[/tex]
Standard deviation,
[tex]\sigma=500 \ hours[/tex]
Random sample,
[tex]n = 100[/tex]
∴ [tex]\mu_\bar x \ = \ \mu[/tex]
[tex]=5000 \ hours[/tex]
Now,
⇒ [tex]\sigma_\bar x[/tex] = [tex]\frac{\sigma}{\sqrt{n} }[/tex]
= [tex]\frac{500}{\sqrt{100} }[/tex]
= [tex]50 \ hours[/tex]
hence,
The probability will be:
= [tex]P(\bar X<4928)[/tex]
= [tex]P(\frac{\bar x-\mu_ \bar x}{\sigma_x} < \frac{4928-5000}{50} )[/tex]
= [tex]P(z<\frac{-72}{50} )[/tex]
= [tex]P(z<-1.44)[/tex]
= [tex]0.0749[/tex]
how do i answer questions
Answer:
You click on the ANSWER button and type in your answer and sometimes explanation (if necessary) and then click the blue paper airplane button on the right to post it. Hope this helps.
Plz tell the AWANSER proper
Answer:
12 each
Step-by-step explanation:
60 / 5 = 12 each
Which equation represents the solution of the equation 6x - 18 = 30?
A. x = 2
B. x = 8
C. x = 27
D. x = 33
Answer:
x=8
Step-by-step explanation:
firstly take 30+18 which equals 48 and then divide that by six which will give you 8 as your answer
Which equation represents the solution of the equation 6x - 18 = 30?
B. x = 8
In a right triangle, the sides that form the right angle are the legs; the longest side (opposite the right angle) is the hypotenuse. Some textbooks say that when two right triangles have congruent pairs of legs, the right triangles are congruent by the reason LL. In our work, LL is just a special case of one of the postulates in this section. Which postulate is that
Answer:
SAS postulate
Step-by-step explanation:
Given
LL postulate
Required
What type of postulate is LL
LL means 2 legs are equal.
When 2 legs of the right triangle are equal, then it means that two sides of the right triangle
In the actual sense, this postulate is SAS postulate where 2 sides are also equal.
Hence, the LL postulate is a special case of SAS
Abdallah noticed that if he takes the opposite of his age and adds 40, he gets the number 28.
Ali wants to know Abdallah's age. He wrote the equation -x + 40 = 28 And he got his age as 68.
What was Ali's mistake? how old is Abdallah?
Please solve neatly and show steps.
The equation is correct. He did mistake is calculation. The correct calculation is:
-x + 40 = 28
=> 40 = 28 + x
=> 40 - 28 = x
=> 12 = x
What is the value of x ?
Answer:
What is the value of x?
Whenever we have a problem to solve we assume the unknown quantity(or value to be identified) as x. This is just a convention followed in algebra by using a variable to denote the unknown quantity and then arrive at the solution.
What is the value of X?
What's the value of X?
X + X = X, what is the value of X?
What is the value of x ? How can I find it?
Do you know the value of x?
Value of X can be any numerical value or anything but depends solely on your question .But I find no question ok lets take an example .
If an equation is given ,
X+2=4
=> X=4–2
=>X=2
We X's value as 2 .
Now another ,
X + Y = 5 , 2X + 5Y = 10
Now taking first equation
X = 5-Y ………………………..(1)
Now taking second equation
X= 10–5Y/2…………………(2)
Now,
2(5-Y) = 10–5Y
=> 10–2Y = 10–5Y
=> 2Y = 5Y
Y has no value here because this equation not correctly represented .
Hence ,
We conclude the value of X varies with equation .
Thank You ,
Answer:
28.61258...
Step-by-step explanation:
Don't really know how to explain this over a computer, but it is correct.
Hope that this helps!
What is the hydrogen ion concentration of a solution with a pH of 4.2?
a) 3.2 x 10-6 M
b) 2.7 x 10-9M
c) 6.4 x 10-5 M
d) 1.0 x 10-6 M.
Step-by-step explanation:
pH = 4.2
- log[H+] = 4.2
[tex][ H+] = {10}^{ - 4.2} [/tex]
[tex][ H+] = 6.4 \times {10}^{ - 5} [/tex]
OPTION C
Help me find the missing number # 9,10 & 12 please thank you
You roll four six-sided die. Find the probability that exactly three of the
dice are odd.
Answer:
3/8
Step-by-step explanation:
There is a 1/2 probability one die will be odd because 1, 3, and 5 are the only possible odd numbers.
Since you want 3/4 of the dice to be odd, you multiply 1/2 by 3/4 to get 3/8.
I believe it is 3/8.
Answer:
9/24 or 3/8
Step-by-step explanation:
3/6 (3 out of the 6 sides are odd)
3/4 (3 out of 4 die)
Multiply together
3/6 * 3/4= 9/24
so 9/24 is the answer... you can simplify it to 3/8.
ur welcome :)
What is the least common denominator out of 1/9 and 2/3
Answer:
9
Step-by-step explanation:
9 is a multiple of 3, so it is the least common denominator
9 factors : 9,18,27,36,45,54, ...
3 factors : 3 , 6, 9, 12, 15, 18, ..
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Substituting the equation x = 2y + 3 into the equation y= -3x - 4 will produce the equation ?
Answer:
y=-6y-13
Step-by-step explanation:
If x=2y+3 and y=-3x-4, you can plug x's value into y=-3x-4:
y=-3(2y+3)-4
Then solve.
y=-6y-9-4
Simplify.
y=-6y-13
What’s the answer to this? I need to do this for extra credit and I have no idea what this is
9514 1404 393
Answer:
20
Step-by-step explanation:
As with any evaluation problem, take it step by step according to the order of operations.
The first thing you need to do here is compute a#b.
The given definition can be simplified a bit for evaluation purposes:
a#b = a²b -ab² = ab(a -b)
Then for a=3 and b=-2, you have ...
(3)#(-2) = (3)(-2)(3 -(-2)) = -6(5) = -30
Now, you are in a position to evaluate the expression you're asked for.
[tex]\dfrac{(a\#b)^2}{15-(a\#b)}=\dfrac{(-30)^2}{15-(-30)}=\dfrac{900}{45}=\boxed{20}[/tex]
how to solve 11/8 ÷ 4/9
[tex]3.09375[/tex] ✅
Step-by-step explanation:
[tex] \frac{11}{8} \div \frac{4}{9} \\ = \frac{11}{8} \times \frac{9}{4} \\ = \frac{11 \times 9}{8 \times 4} \\ = \frac{99}{32} \\ = 3.09375[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Find the value of x
Answer:
x = 25 degree
Step-by-step explanation:
5x + 4 = 8x - 71 (being vertically opposite angle)
5x - 8x = -71 - 4
-3x = -75
x = -75/-3
x = 25
a round cake pan has a diameter of 6 inches which is closest to the area of the bottom of the Pan
A. 20 square inches B. 30 square inches
C. 40 square inches. D. 100 square inches
Answer:
The correct answer is B.
Step-by-step explanation:
The area of the closest answer is 30 since the actual area is 28 square inches.
If JK AND LM which statement is true
Answer:
Perpendicular lines meet at 90 degrees, so JK and LM meeting at 90 degrees is the correct answer.
Step-by-step explanation:
(I know they mean If JK is perpendicular to LM because I saw this question before on brainly.)
Can anyone help pls? Thanks much appreciated
Answer:
x ≈ 5.7
Step-by-step explanation:
Recall, SOH CAH TOA.
We are given:
Reference angle = 35°
Opposite side length to reference angle = 4
Adjacent side = x
To find x, apply the trigonometric equation, TOA, which is:
Tan 35° = Opp/Adj
Substitute
Tan 35° = 4/x
x*Tan 35° = 4
x = 4/Tan 35°
x ≈ 5.7
25/22 as a decimal rounded to the nearest hundredths
Answer:
Hi there!
Step-by-step explanation:
First thing we have to do is make 25/22 a proper fraction. That is 1 3/22. This converted to a decimal is 1.1(36) or, rounded to the nearest hundredth, that is 1.1 :)
Hope you enjoy!
What is the value of the expression below if y = 5?
35 = (y + 2) + 4
Answer:
11
Step-by-step explanation:
Using GEMDAS
G-Group
E-Exponent
M-Multiplication
D-Division
A-Addition
S-Subtraction
Step 1: Substitute the value y=5 in the equation
35÷(5+2)+4
Step 2: Evaluate the equation by computing first the parenthesis
35÷(7)+4
Step 3: Next divide 35 by 7
(5)+4
Step 4: Add
=9
The answer is 9.
why 13/3hr and 4hr are equal?
Answer:
13/3 = 4 1/3 which when rounded is 4hrs
As 4.3/4 = 1.075 = 1 unit and not 2
Step-by-step explanation:
13/3 = 4.33333333 and rounded down = 4 hrs
Assume that a standard number cube is rolled.Find the theoretical probability of each event to the red box that has the correct solution
Answer:
well rolling a 1 would be a 1 in 6 chance as would rolling 2 be a 1 in 6 chance
Step-by-step explanation: if this is not what you are looking for post a picture so I can answer correctly
Suppose that you collect a random sample of 250 salaries for the salespersons employed by a large PC manufacturer. Furthermore, assume that you find that two of these salaries are considerably higher than the others in the sample. Before analyzing this data set, should you delete the unusual observations
Answer:
It depends and analysis maybe with the values kept and with the values deleted depending on what we intend to find with the data.
Step-by-step explanation:
When conducting data analysis, a large chunk of time is usually spent trying to ensure that the data is prepared to be used for the require analysis. To ensure this, we tidy up the data by doing the following :
Changing the data format for variables whose units do not conform and so on.
The method of dealing with missing data is essential during data analysis. Missing data may be replaced with the mean value of the observation or completely removed. Based on the scenario, the sample size is 250 ; number of values with unusually high salary values are just 2, hence, removing this values shouldn't pose much of a threat to our data and shouldn't have much effect on the outcome. Hence, removing the Outliers.
Similarly, this unusually high values may signify certain purpose or give certain critical information about the salary and hence may not be deleted
Depending on what we hope to discover from the data, an analysis may be performed
What is a random sample?A simple random sample is a subset of persons picked at random, all with the same probability, from a larger set of individuals. It is a method of choosing a sample at random.
When performing data analysis, a significant amount of work is typically dedicated to making sure the data is ready to be used for the required analysis. We clean up the data in the following ways to make sure of this
changing the data format for variables with non-conforming unit measurements.
During data analysis, the way missing data are handled is crucial. Missing data can either be fully eliminated or replaced with the observation's mean value. According to the scenario, the sample size is 250 there are only 2 values with abnormally high salary values, therefore deleting these values shouldn't constitute significant harm to our data or have a significant impact on the results. thus eliminating the Outliers
learn more about random samples here :
https://brainly.com/question/12719656
#SPJ2
a home improvement store charges $20 to rent a small truck for 1 hour . Each additional hour costs $25 . There is also a fuel surcharge of $0.05 for each mile driven .How much will it cost to rent the truck for 4 hours if it is driven 30 miles
Answer:
It will cost $121.50
Step-by-step explanation:
C = 20 + 25h + .05m
Now plug in the hours and miles
C = 20 + 25(4) + .05(30)
C = 20 + 100 + 1.5
C = 121.50
The total cost rent the truck for 4 hours and 30 miles drive is $121.5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Given that, a home improvement store charges $20 to rent a small truck for 1 hour.
Let the number of hours be h and the number of miles be m.
Now, total charge = 20+25h+0.05m
Here, h=4 and m=30
So, total charge = 20+25(4)+0.05(30)
= $121.5
Therefore, the total cost rent the truck for 4 hours and 30 miles drive is $121.5.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Solve for m.
13 =2m+513=2m+5
Answer:
m=13
Step-by-step explanation:
Factor completely 10x2 + 2x − 8.
Answer:
2(6+x)
Step-by-step explanation:
1. Multiply the numbers
20+2x-8
2. Subtract the numbers
12+2x
3. Factor 2 from the expression
2(6+x)
What is the answer
Please Help
Greatly Appreciated!!
Answer:
D. 3
Step-by-step explanation:
two parallel lines have the same slope
To celebrate 24 years in business, a clothing store's marketing executive is ordering scratch-off discount coupons to give to customers. She would like 40% of customers in the population to receive the highest possible discount, with an SEP of 0.01 for this population. How many coupons should she order?
Answer:
She should order 2400 coupons.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
She would like 40% of customers in the population to receive the highest possible discount, with an SEP of 0.01 for this population.
This means that [tex]p = 0.4, s = 0.01[/tex]
How many coupons should she order?
We have to find n. So
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]0.01 = \sqrt{\frac{0.4*0.6}{n}}[/tex]
[tex]0.01\sqrt{n} = \sqrt{0.4*0.6}[/tex]
[tex]\sqrt{n} = \frac{\sqrt{0.4*0.6}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{\sqrt{0.4*0.6}}{0.01})^2[/tex]
[tex]n = 2400[/tex]
She should order 2400 coupons.
100 points Which expression represents the following calculation?
Subtract 32 from the product of 48 and 15.
A. 32 – (48 × 15)
B. (48 – 15) × 32
C. (48 × 15) – 32
D. 32 × (48 – 15)
Please quick
Answer:C
Step-by-step explanation: you have to multiply first than subtract because it says subtract 32 FROM the product meaning multiplying comes first than subtract
Use the drawing tools to form the correct answer on the graph.
Graph the line that represents this equation:
3x-4y=8
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]3x - 4y = 8[/tex]
Required
Graph the line
First, we calculate the intercepts
Set x = 0
So:
[tex]3x - 4y = 8[/tex]
[tex]3*0 - 4y = 8[/tex]
[tex]- 4y = 8[/tex]
Divide by -4
[tex]y = -2[/tex]
So, we have:
[tex](x,y) = (0,-2)[/tex]
Next, set y = 0
So:
[tex]3x - 4y = 8[/tex]
[tex]3x - 4 * 0 = 8[/tex]
[tex]3x = 8[/tex]
Divide by 3
[tex]x = 8/3[/tex]
So, we have:
[tex](x,y) = (8/3,0)[/tex]
The graph to be plotted must pass through [tex](x,y) = (0,-2)[/tex] and [tex](x,y) = (8/3,0)[/tex]
Here's my answer
hope it helps