Answer:
a) the probability that the strength of a sample is less than 38 lb/in² is approximately 0.9332
b) approximately 0.62% of the sample are scrapped
Step-by-step explanation:
a)
What is the probability that the strength of a sample is less than 38 lb/in²?
lets X rep the paper tensile strength in pounds per square inch.
the probability that the strength of the sample is less than 38 lb/in²
i.e P( X < 38 )
so assuming that X is normally distributed with u = 35 lb/in² and α = 2 lb/in²,
so the probability expression P( X < 38 ) can be standardized as
P( X < 38 ) = P( (X-35)/2 < (38-35)/2)
= P( X < 1.5 )
from the cumulative standard normal distribution table,
we find P( X < 1.5 ) = 0.9332
so
P( X < 38 ) = P( X < 1.5 )
= 0.9332
therefore the probability that the strength of a sample is less than 38 lb/in² is approximately 0.9332
b)
If the specifications require the tensile strength to exceed 30 lb/in², what proportion of the samples is scrapped?
this can be represented as P( X < 30 )
By standardization the probability expression P( X < 30 ) can be transformed as;
P( X < 30 ) = P( (X-35)/2 < (30-35)/2)
= P( z < -2.5 )
from the cumulative standard normal distribution table,
we find P( X < -2.5 ) = 0.0062
so
P( X < 30 ) = P( X < -2.5 )
= 0.0062
therefore, approximately 0.62% of the sample are scrapped
PLS ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLYYY! PLS AND TY! :D
Answer: Kell would be making more money in 19 hours.
Step-by-step explanation:
If you add it up, Kell makes 136$ in only 16 hours but mariko makes 133 in the full 19 hours. Which means that Kell would make more in 19 hours. The total Kell makes in 19 hours is 161.5 and $161.5 > $133. Let me know if you need any more help!
-413.4=-15.9n please help
Answer:
[tex]\boxed {n = 26}[/tex]
Step-by-step explanation:
Solve for [tex]n[/tex]:
[tex]-413.4 = -15.9n[/tex]
-Switch sides:
[tex]-15.9n = -413.4[/tex]
-Divide both sides by [tex]15.9[/tex] and expand by multiplying both numerator and denominator by [tex]10[/tex]:
[tex]\frac{-15.9n}{-15.9} = \frac{-413.4}{-15.9}[/tex]
[tex]n = \frac{-4134}{-159}[/tex]
-Divide [tex]-4134[/tex] and [tex]-159[/tex]:
[tex]n = \frac{-4134}{-159}[/tex]
[tex]\boxed {n = 26}[/tex]
Therefore, the value of [tex]n[/tex] is [tex]26[/tex].
The sum of two numbers is 38. The smaller number is 22 less than the larger number. What are the numbers?
Answer:
30 and 8
Step-by-step explanation:
30 - 8 = 22
Read the following statement: Line segment MN is congruent to line segment OP.
Which of the following is an equivalent statement?
a
MN overbar is similar to OP overbar
b
MN overbar equals OP overbar
c
MN overbar is congruent to OP overbar
d
MN overbar is an element of OP overbar
Answer:c
Step-by-step explanation:
18. Which product is greater. (-4)-(-6) or
(-7).(-8)? Explain.
Answer:
So when u do (-4)-(-6) it equals 2.
But when u do (-7)*(-8) it equals 56
Therefore saying that (-7)*(-8)=56 is the greatest product.
Step-by-step explanation:
--
What is the equation of g in terms of f?
Answer:
g(x) = f(x - horizontal shift) + vertical shift translates to g(x) = f(x - [-4])+[-7].
Step-by-step explanation:
I'm not to sure but I hope this helps
An exam has two probability problems, 1 and 2. If 37% of the students solved problem 1 and 12% of the students solved both problems 1 and 2, what is the percent of students who solved problem 2 given that they solved problem 1
Answer:
63%
Step-by-step explanation:
37% did not solve problem 2
100% - 37% = 63%
Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = f (b) − f (a) b − a . If the Mean Value Theorem cannot be applied, explain why not.
f(x) = x^3 + 2x, [-1,1]
Answer:
There is a value of [tex]c[/tex] in (-1, 1), [tex]c = 0.577[/tex].
Step-by-step explanation:
Let [tex]f(x) = x^{3}+2\cdot x[/tex] for [tex]x \in[-1,1][/tex], we need to prove that [tex]f(x)[/tex] is continuous and differentiable to apply the Mean Value Theorem. Given that [tex]f(x)[/tex] is a polynomical function, its domain comprises all real numbers and therefore, function is continuous.
If [tex]f(x)[/tex] is differentiable, then [tex]f'(x)[/tex] exists for all value of [tex]x[/tex]. By definition of derivative, we obtain the following expression:
[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{(x+h)^{3}+2\cdot (x+h)-x^{3}-2\cdot x}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{x^{3}+3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot x+2\cdot h-x^{3}-2\cdot x}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} \frac{3\cdot x^{2}\cdot h+3\cdot x\cdot h^{2}+h^{3}+2\cdot h}{h}[/tex]
[tex]f'(x) = \lim_{h \to 0} 3\cdot x^{2}+ \lim_{h \to 0} 3\cdot x \cdot h+ \lim_{h \to 0} h^{2}+ \lim_{h \to 0} 2[/tex]
[tex]f'(x) = 3\cdot x^{2}+2[/tex] (Eq. 2)
The derivative of a cubic function is quadratic function, which is also a polynomic function. Hence, the function is differentiable at the given interval.
According to the Mean Value Theorem, the following relationship is fulfilled:
[tex]f'(c) = \frac{f(1)-f(-1)}{1-(-1)}[/tex] (Eq. 3)
If we know that [tex]f(-1) = -3[/tex], [tex]f(1) = 3[/tex] and [tex]f'(c) = 3\cdot c^{2}+2[/tex], then we expand the definition as follows:
[tex]3\cdot c^{2}+2 = 3[/tex]
[tex]3\cdot c^{2} = 1[/tex]
[tex]c = \sqrt{\frac{1}{3} }[/tex]
[tex]c \approx 0.577[/tex]
There is a value of [tex]c[/tex] in the interval (-1, 1), [tex]c = 0.577[/tex].
Will mark as brainless if you answer correctly
Answer:
ans=10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10(4-7) / -(4 - 1)
10(-3) / -(3)
-30 / -3 =
10
i need more help i'm so bad at this subject z/4 - 1/2 = 9? pls steps and test
answer: x=38
Step-by-step explanation:
hope I help you
PLEASE HELP ASAP
Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept
Answer:
10) m: 6
b: 5
y= 6x +5
12) m: -2
b: -1
y= -2x-1
14) m: 1
b: 0
y= x
Step-by-step explanation:
The slope-intercept form is the form y=mx+b
m is the slope. You can find it by finding two points that the line intersects, and counting the number of units between them.
Remember the slope is "rise over run", so, the difference in y over the difference in x.
b is the y-intercept. You can find it by looking at where the line crosses the y-axis.
Hope this helps you out!
Jackie and her family went out for dinner for her birthday. The cost of the dinner before sales tax was $76.45. The family decides to tip 20% for the good service they received. How much did Jackie's family leave as a tip for her birthday meal?
Answer:
15.29 i think
Step-by-step explanation:
What percent is:
45 of 36
Answer:
45 is 125% of 36, and 36 is 80% of 45.
Step-by-step explanation:
Select the correct answer.
Select the place of the digit 9 in this number.
269,478
ten thousands
hundreds
one thousands
ones
hundred thousands
tens
twice a number k plus the quantity s minus 2
Answer:
2k+s-2
im assuming
A local hamburger shop sold a combined total of 721 hamburgers and cheeseburgers on Thursday. There were 71 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answer:771-71/2= 350 hamburgers and 350 +71 cheeseburgers
Step-by-step explanation:
What is the equation of this graphed line? Enter your answer in slope-intercept form in the box. please i really need help
Answer:
y = -9/8x+7
Step-by-step explanation:
First Find The Slope: 7--2/0-8=-9/8
Find Y Intercept=7
Than Write Equation: y=-9/8x+7
Store A sells 3 candy bars for $3.45.
Store B charges $5.45 for 5 candy bars.
Store C sells 7 candy bars for $7.56.
Which store offers the best value?
Answer:
Store C
Step-by-step explanation:
$7.56÷7=$1.08 a candy bar
The table shows the mean number of basketball goals made by four random samples of players from the school team during this year’s season. Sample # Sample Mean Number of Goals 1 7 2 4 3 5 4 8 Is a valid prediction for the mean of the population possible using these samples? No, there are not enough samples. Yes, the sample means are all less than 10. Yes, the variation of the sample means is small. No, the variation of the sample means is too great.
Answer:
Answer is C
Step-by-step explanation:
There is not enough samples.
Answer:
Yes, the variation of the sample means is small.
Step-by-step explanation:
Find the unit price for 9 colored pencils for $56
Answer:
6 2/9
Step-by-step explanation:
56/9
a transformation of a rectangle ABCD results in rectangle ABCD whch transformation maps the pre-image to the image
Answer:
dilation
Step-by-step explanation:
did it on edge 2020
Pls make me brainliest much appreciated
plsss help 6th grade math
Answer: D
Step-by-step explanation:
If you put -5 and +5 on a number line and count their distance from zero they are both the same distance.
Helpppppp pleaseeeee
Save me from this questionnnnn
Over a period of 12 hours the temperature dropped 36°F what was the average change in temperature in one hour?
Answer:
3°F
Step-by-step explanation:
36 divided by 12 is 3
Answer:
3 degrees F
Step-by-step explanation:
36/12 = 3
help me (a) The total cost of rent is determined by recording x months of rent at $1400 per month, plus a $150 application fee.
Answer:
$1400x + $150
Step-by-step explanation:
Let the total cost of rent used for a month be $1400 plus a $150 application fee.
This means that;
Total cost (1 month) = $1400(1) + $150 = $1550
TO calculate the cost for x months, we will simply multiply x with the cost of rent for 1 month as shown.
The cost of rent for x month = 1400x * $150
The cost of rent for x month = $1400x + $150 (application fee are paid only once)
10 Lakh More Than 93,23,654
Answer:
10,323,654
Step-by-step explanation:
Solve for the roots: x3-2x2+3x-6
Answer:
x = 2, i[tex]\sqrt[]{3}[/tex], -i [tex]\sqrt{3}[/tex]
x^3 - 2x^2+ 3x - 6 = 0
Hint: Solve by grouping.
Store A sells 3 candy bars for $3.45.
Store B charges $5.45 for 5 candy bars.
Store C sells 7 candy bars for $7.56.
Which store offers the best value?
Answer:
store C
Step-by-step explanation:
if you divide 7.56 by 7 it'll be $1.08 per candy bar.
I need help solving these!!!!
Answer:
4. y = -1/2x + 5
5. y = -1/3x + 3
6. y = 1
Step-by-step explanation:
For #4:
Because these lines are parallel, we know that they will have the same slope.
To get b, or the y-intercept, I just started at the point (4,4) and used the slope to work backwards to the y-axis. This is really not the best way to do it (especially with big numbers) but it works in a pinch. Also, I forgot the better way :/
For #5:
These lines are perpendicular. That means that the slopes are reciprocals of the other and, when multiplied with each other, the answer will be -1.
The reciprocal of 3 is -1/3.
To get the y-intercept, I did the same as above.
For #6:
x = 2 is a vertical line. To make a line perpendicular to it, that is, to make a line that intersects with it at 90°, the answer line will have to be horizontal.
That means that our answer is y = ?
We know that the line passes through a very specific point (2,1), and the line provided in the question already gives us the x value of this point. All we have to do is set y equal to the y value.
So, y = 1.
I hope this helps!
helppp pls 20 points !!