Answer:
165km
Step-by-step explanation:
if 1cm on the map = 15km,
then since 11cm is 11x 1, we multiply the kilometers by 11, getting 165km.
A manufacturing process is designed to produce bolts with a 0.75-inch diameter. Once each day, a random sample of 36 bolts is selected and the bolt diameters recorded. If the resulting sample mean is less than 0.730 inches or greater than 0.770 inches, the process is shut down for adjustment. The standard deviation for diameter is 0.04 inches. What is the probability that the manufacturing line will be shut down unnecessarily
Using the normal distribution and the central limit theorem, it is found that there is a 0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n have standard deviation given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 0.75 inches, thus [tex]\mu = 0.75[/tex].Standard deviation of 0.04 inches, thus [tex]\sigma = 0.04[/tex]Sample of 36, thus [tex]n = 36, s = \frac{0.04}{\sqrt{36}} = 0.0067[/tex].The probability of being shutdown is the probability of a sample mean less than 0.73 inches or more than 0.77 inches. They are the same distance to the mean(0.02), thus, considering the Central Limit Theorem:
[tex]z = \frac{0.02}{s}[/tex]
[tex]z = \frac{0.02}{0.0067}[/tex]
[tex]z = 2.99[/tex]
The probability is P(|z| > 2.99), which is 2 multiplied by the p-value of z = -2.99.
z = -2.99 has a p-value of 0.0014.
2(0.0014) = 0.0028
0.0028 = 0.28% probability that the manufacturing line will be shut down unnecessarily.
A similar problem is given at https://brainly.com/question/25212662
f(x) = x +4
g(x) = 3x^2 – 7
Find (f.g)(x)
Answer:
(f*g)(x) = 3x³+12x²-7x-28
Step-by-step explanation:
What (f*g)(x) means is that we multiply f(x) by g(x):
f(x) = x+4
g(x) = 3x²-7
(f*g)(x) = f(x)*g(x) = (x+4)(3x²-7) = (x)(3x²)+(x)(-7)+(4)(3x²)+(4)(-7) = 3x³-7x+12x²-28 = 3x³+12x²-7x-28
What are the coordinates of the point?
(3,6)
(6, – 3)
(-3, -6)
(-3,6)
Answer:
The answer is D ( the last option in your list of possible answers. -3,6)
Answer:
(-3,6)
Step-by-step explanation:
It goes backwards 3 units to the left meaning the x value is negative 3. It goes up 6 meaning the y value is 6. Plug the values into (x,y) and you get (-3,6)
Heyyyyyyyyyyyy can you help
Answer:
1.45 x 10 {2}
Step-by-step explanation:
SOMEONE HELP ME PLEASE
Answer:
h=4
Step-by-step explanation:
the height can't be smaller than 3 and higher than 5, you're making a hypothesis.
HELPP
subtract a from 9, double the result, then add 10 to what you have
Answer:
Step-by-step explanation:
9 - a = 9 -a
9 - a + 10 = 19 - a
If sinx, 1,Cos2x are in GP then X=
Answer:
I am doinnnnngggghgh ggggggh
Answer:
god knowsnnsjjejjejek
to the nearest 0.01cm3, what is the volume of this sphere?
Answer: Calculate the sphere volume, the volume of a spherical cap or of a hemisphere thanks to this sphere volume calculator.
Hi please help me i need it, thanks
Answer:
perimeter: 20.1
area: 22.1
Step-by-step explanation:
Answer:
The formula to find the are of a parallelogram is = base x height
so the base is 3 1/4 x the height is 6. so now it will be
3 1/4 x 6
you now multiply it to get the area.
So the area I am getting for this is 16 1/2 cm2.
It might be wrong but there you go.
Make as brainiest
Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:
a. compounded semiannually
b. compounded quarterly
c. compounded monthly
d. compounded continuously.
---Round answers to nearest cent
Answer:
See belowStep-by-step explanation:
Given:
Investment P = $20000Time t = 7 yearsInterest rate r = 5.5% = 0.055a. compounded semiannually, n = 2
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88[/tex]b. compounded quarterly, n = 4
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} = 29315.30[/tex]c. compounded monthly, n = 12
[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} = 29366.44[/tex]d. compounded continuously
[tex]A = Pe^{rt}=20000*e^{0.055*7}=29392.29[/tex]The temperature dropped 3 °F every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?
Answer:
18 °F
Step-by-step explanation:
Simply multiply 3 and 6
One hour is 3 °F
Two hours is 6 °F
Three hours is 9 °F
Four hours is 12 °F
Five hours is 15 °F
Six hours is 18°F
What is the missing measure?
Answer:
Step-by-step explanation:
This is a problem of ratios:
Set the problem up with matching similar side lengths equal:
50/10 = x/12
First simplify the left side:
50/10 = 5
Next, multiply both sides by 12.
We are left with:
x = 12(5)
x = 60
Seventeen million four thousand
Answer:
17,004,000
Step-by-step explanation:
Seventeen million four thousand
17,004,000
Answer:
17,004,000
in number form
Step-by-step explanation:
i'd appreciate it if youd give me brainly
have a fangtastic day <3
can you help please i beg you guys
Answer:
Mr. Pandya's class has 12 boys and 18 girls.
Mr. Chapman's class has 5 girls and 25 boys.
Step-by-step explanation:
Help me please!!!!! ✨✨✨✨✨✨✨✨
Answer:
-1 thats correcto...uh but whyWrite an equation that represents the line.
Use exact numbers.
Answer:
y = 1.5x + 3
Step-by-step explanation:
Take the two points marked by the blue dots.
(0,3), (2,6)
Start with (0,3). The zero makes the other number with it = to the y intercept.
So far what you know is
General equation: y = mx + b
b = 3
Partial equation: y = mx + 3
Givens
To get m, you need both points.
y2 = 6
y1 = 3
x2 = 2
x1 = 0
Equation
m = (y2 - y1) / (x2 - x1)
m = (6 - 3) / (2 - 0)
m = 3 / 2
Entire equation
y = 3/2 x + 3
or
y = 1,5x + 3
Hiiii again, How should this model be completed?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You have the relation ...
(left side number) × (top number) = (number in the area box)
This means ...
(top number) = (number in the area box)/(left side number)
top number = 680/17 = 40 . . . number in the quotient box
and ...
17 × 8 = number in the area box = 136
__
The number in the right-side box is the remainder, the difference between the dividend 820 and the sum of the numbers in the other two area boxes.
820 -680 -136 = 4 . . . . number in the right-side box
Does the following system of equations
have one, none, or infinite solutions?
-4x + y = 6
-5x – y = 21
Answer:
Iv'e checked both of them and they have NO solutions so nyour answer is (None)
Step-by-step explanation:
I need a lil help here (18 points!!!!!)
Answer:
correct answer is 2
............................
Answer U4
Step-by-step explanation:
blank is 4
STEP By Step Explaination needed
NO sp.am
No Go.ogle
Solve it
[tex]\frac{5}{11} + \frac{3}{11} [/tex]
Answer:
8/11
Step-by-step explanation:
5+3=8
Answer:
[tex]\sf\huge\longmapsto \: \frac{8}{11} [/tex]
Step-by-step explanation:
[tex]\sf\huge\longmapsto \: \: \frac{5}{11} + \frac{3}{11} [/tex]
[tex]\sf\huge\longmapsto \: \frac{5 + 3}{11} [/tex]
[tex]\sf\huge\longmapsto \: \frac{8}{11} [/tex]
Brisa is 2 years older than Aja. Damaris is 1 year younger than half of Brisa's age. The sum of all their ages is 27.
brisa is 12.5 aja is 10.5 and damaris is 4
Helpppppppppppppppppppppp!!!!!!! Plzzzzzzzzzzzzzzz
Step-by-step explanation:
The sum of the interior angles of a triangle is equal to 180° so we can write
[tex]y + 2y + 3y = 180° \Rightarrow 6y = 180°[/tex]
Solving for y, we get
[tex]y = 30°[/tex]
So the other two angles of the triangle are
[tex]2y = 2(30°) = 60°[/tex]
and
[tex]3y = 3(30°) =90°[/tex]
1. find the measure of each angle
Answer:
The equation is 3x -5 + 10x -7 = 180°
Step-by-step explanation:
These angle are a linear pair. Linear pair are two angles that are adjacent and their sides are opposite rays, or the two angles form a straight angle = 180°
The equation is 3x -5 + 10x -7 = 180°
Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on 12-ounce cans of tuna. Today, his local grocery store is offering 4 cans of Sea Star tuna for $3.28 and 2 cans of Ocean's Best tuna for $1.88. Which brand is the better deal?
rectangular equation for the curve whose parametric equations are x = 2cosθ, y = cos2θ.
The rectangular equation for the curve is [tex]y = \frac{x^{2}}{2} -1[/tex].
In this question, we have a set of parametric equation which must be reduced into a single rectangular equation both by algebraic and trigonometric means, that is to say:
[tex]x = f(\theta), y = g(\theta) \to y = h(x)[/tex]
If we know that [tex]x = 2\cdot \cos \theta[/tex] and [tex]y = \cos 2\theta[/tex], then the rectangular equation is:
[tex]y = \cos 2\theta[/tex]
[tex]y = \cos^{2}\theta - \sin^{2}\theta[/tex]
[tex]y = 2\cdot \cos^{2}\theta -1[/tex]
[tex]\cos \theta = \frac{x}{2}[/tex]
[tex]y = 2\cdot \left(\frac{x}{2} \right)^{2}-1[/tex]
[tex]y = \frac{x^{2}}{2} -1[/tex]
The rectangular equation for the curve is [tex]y = \frac{x^{2}}{2} -1[/tex].
We kindly invite to check this question on parametric equations: https://brainly.com/question/23070611
{-13,-2,9,20,31,…} which term in this sequence is 306
Given :-
-13,-2,9,20,31 . . . . .To find :-
which term in this sequence is 306 .Solution :-
Common difference ,
d = 31 - 20 d = 11As we know that ,
Tⁿ = a + (n-1)d 306 = -13 + (n-1)11306+13 = (n-1)11319/11 = n-129 = n -1 n = 30Answer:
30th
Step-by-step explanation:
There is a common difference between consecutive terms, that is
- 2 - (- 13) = 9 - (- 2) = 20 - 9 = 31 - 20 = 11
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 13 and d = 11 , then
[tex]a_{n}[/tex] = - 13 + 11(n - 1) = - 13 + 11n - 11 = 11n - 24 ← equate to 306
11n - 24 = 306 ( add 24 to both sides )
11n = 330 ( divide both sides by 11 )
n = 30
The 30th term is 306
Work out the following:
a) 3/4 - 7/9 + 2/3
Answer: 23/36
Step-by-step explanation:
[tex]\frac{3}{4} -\frac{7}{9} +\frac{2}{3}[/tex]
You need to find a common denominator.
The common denominator is 36. You have to get all denominators to 36.
How to do that?
Example = [tex]\frac{3}{4} *\frac{9}{9} =\frac{27}{36}[/tex].
Do that to all the fractions.
[tex]\frac{27}{36} -\frac{28}{36} +\frac{24}{36} = \frac{23}{36}[/tex]
in order to start a small business a student takes out a simple interest loan for $8,000 for 6 months at a rate of 6.25%, how much interest must the student pay and find the future value of the loan round to the nearest cent as needed
Answer:
The student must pay 4247.5 - 4000 = 247.50 dollars in interest
Step-by-step explanation:
The cost of making a cake is $9. The Baker wants to make a profit of $ 9 per cake and the cake is to be cut into 36 pieces, what is the selling price of each piece?
Answer:
$0.50Step-by-step explanation:
Given
Cost price = $9Selling price of the cake is:
$9 + $9 = $18Selling price of each piece:
$18/36 = $0.5016 31 Here is a compound shape made from two rectangles. - 6 cm 4 cm NOT DRAWN 9 cm TO SCALE 12 cm n ek NO ME (a) Calculate the perimeter of the shape. cm (1 EN UN
Answer:
Well perimeter is adding up all the sides since it's a rectangle the first one is just 6 + 6 + 4 + 4 = 20 cm
The second would be 9 + 9 + 12 + 12 = 42 cm if this is not an option or if it is wrong let me know and I will try again