Answer: A line that is parallel to the x-axis is a horizontal line. In this case, the horizontal line passes through a point, (1,2). All points on a horizontal line will have the same y value. Therefore, y=2 for every point on this line and that is the equation of the line.
Step-by-step explanation i Hope this helps
If you take a sample of 9 pacemakers from the company, what is the probability that the mean lifetime of components in this sample will be longer than 99 months
Using the normal distribution and the central limit theorem, it is found that there is a 0.9878 = 98.78% probability that the mean lifetime of components in this sample will be longer than 99 months.
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 has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of 9 years, hence, in months, [tex]\mu = 9(12) = 108[/tex]The standard deviation is of 1 year, hence, in months, [tex]\sigma = 12[/tex].Sample of 9 pacemakers, hence [tex]n = 9, s = \frac{12}{\sqrt{9}} = 4[/tex].The probability is 1 subtracted by the p-value of Z when X = 99, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{99 - 108}{4}[/tex]
[tex]Z = -2.25[/tex]
[tex]Z = -2.25[/tex] has a p-value of 0.0122.
1 - 0.0122 = 0.9878.
0.9878 = 98.78% probability that the mean lifetime of components in this sample will be longer than 99 months.
A similar problem is given at https://brainly.com/question/24663213
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Caroline leaves her apartment and walks 45° north of west for 1000 feet and then walks 200 feet due north to go to the grocery store. How far and at what north of west
quadrant is Caroline from being at her apartment?
Answer:
1150 ft W 52° N
Step-by-step explanation:
There are several ways a problem like this can be solved. Perhaps the easiest is to make use of a suitable vector calculator.
Using West as the reference for angles measured clockwise (toward north), the final position is ...
1000∠45° +200∠90° = 1150.149∠52.063°
__
You can also figure this using the Law of Cosines. It will tell you the resultant distance (c) in terms of the individual distances (a, b) and the angle between them (135°).
c² = a² +b² -2ab·cos(C)
c² = 1000² +200² -2·1000·200·cos(135°) ≈ 1,322,842.7
c ≈ √1322842.7 ≈ 1150.149
The angle difference from 45°N can be found using the Law of Sines.
sin(B)/b = sin(C)/c
B = arcsin(b/c·sin(C)) = arcsin(200/1140.149·sin(135°)) ≈ 7.063°
This means Caroline's bearing from home is 45° +7.063° ≈ 52° north of west.
Caroline's final position is 1150 W 52° N in relation to her home.
which of the following has factor of (× - 4) (× - 3)?
Answer:
Hello!
After reading your question I have come up with the correct way to factor (x-4) and (x-3) together:
x²-7x+12
Step-by-step explanation:
This is my work:
The new iPhone 13 Pro Max cost p dollars. T-Mobile is running a promotion that gives you a 45% discount. Write an expression to represent the cost after discount.
The expression that represents the cost after discount is ?
Answer:
0.55p
Step-by-step explanation:
Iphone before discount = 100%p
Iphone after discount = 55%p
Expression = (1 - 0.45)p
Expression = 0.55p
-Chetan K
plsssssssssssssssssssssssssssssssssssssss
Please help…I will award brainliest!
Answer:
y = - 3x + 15
.Question.[Mathematics]
5! + 5! =
5! + 5! = ?
= 5 × (5 - 1) × (5 - 2) × (5 - 3) × (5 - 4) × 2
= 5 × 4 × 3 × 2 × 1 × 2
= 120 × 2
= 240
[tex] \: \: \: \: \: \: [/tex]
[tex] = 120 \times x![/tex]
step by step explanation[tex]5! \times 5![/tex]
use n! =n ×( n - 1 ) × ...× 2 × 1 to calculate the factorial[tex]5 \times 4 \times 3 \times 2 \times 1 \times x![/tex]
calculate the product[tex] = 120 \times x![/tex]
hope it helps[tex] \: \: \: \: \: \: [/tex]
please answer the question fast with step by step explanation
Work out the percentage change to 2 decimal places when a price of £189 is decreased to £150.
Answer:
20.63%
Step-by-step explanation:
189-20.63%=150,0093
Answer:
20.63%
Step-by-step explanation:
% change = (New Value - Initial Value)/(Initial Value) * 100
= (150-189)/189 * 100
= -20.63%
Though the value comes as negative but it only indicates that it is a percentage decrease. As the question mentioned that the value is decreased, the final answer would be only 20.63%.
Hopefully this helps!!
Nick sketches the graph of y = 0.5' for x 20 y 0.5 of Make one criticism of his sketch.
Answer:
the graph would just be a straight line going up at points (0, 0.5)
Step-by-step explanation:
This would have no slope
Khaled is preparing to paint his room. If it would take three workers 8 hours to apply two coats of
paint, how long would it take four workers to apply one coat of paint?
Answer:
20 minutes
Step-by-step explanation:
hope it helps u
plzz plzz plzz mark as brainliest
Answer: 3 hours
Step-by-step explanation:
To solve this problem, utilize something called the unit rate.
Because it takes three workers(x) 8 hours to apply two coats of paint, simply write: x/3 = 8 ÷ 2.
x/3 = 4
x = 4 * 3
x = 12
Thus, it takes one worker 12 hours, or 720 minutes to apply one coat of paint. Thus, because the number of workers is multiplied by 4, divide the time spent by 4, to get 3 hours, or 180 minutes.
Hope it helps :) and let me know if you want me to elaborate.
N.B. This is an inverse relationship, as when the number of workers increases, the amount of time decreases.
SOMEONE PLEASE HELP IM FAILING HS
2-20. Evaluate each expression for x=-2 and y=-5.
a. 1-2x + 3y
b. -|x-y|
c. √x^2 + ^3√x^3
d. 1/2x+1/3y
Answer:
a. 1-2(-2) + 3(-5) = 1-4 -15 = -18
b. -|-2--5| = |3| = -3
d. 1/2x+1/3y = 1/2 (-2) + 1/3(-5) = -1 - 5/3 = -8/3
Hope it works
A line's y-intercept is –9, and its slope is 1/6 .What is its equation in slope-intercept form?
Answer:
y = 1/6x - 9
Step-by-step explanation:
The slope-form intercept formula is y = mx + b
Anitha types 200 words in half an hour How many words will she type in 12 minutes , if typing speed remains the same
Answer:
she'll type 80 words.
Step-by-step explanation:
200/x=30/12
x=(200×12)/30=80
The local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month. Last year, Paxton paid $105.75. How many months was Paxton a member of the pool?
Solving a linear equation we can see that Paxton was a member for 5 months.
How many months was Paxton a member of the pool?We know that the local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month, then the cost for x months is modeled by the linear function.
f(x)= 18.25 + x*17.50
We know that Paxton paid $105.75, then we need to solve the equation:
105.75 = 18.25 + x*17.50
Solving that for x we will get:
105.75 - 18.25 = x*17.50
87.50/17.50 = x
5 = x
Paxton was a memeber for 5 months.
Learn more about linear functions at:
https://brainly.com/question/15602982
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Mary can swim 3 laps in 6
minutes. Use an equivalent ratio
to determine how many laps
Mary can swim in 18 minutes.
How many laps?
Answer:
9 laps
Step-by-step explanation:
Set up a proportion
3 laps / 6 minutes = x [which represents laps]/18 minutes Cross multiply
6*x = 3 * 18 Combine
6x = 54 Divide by 6
6x/6 = 54/6
x = 9
find the gcf and the distributive property to each sum.19,22
Answer:
50 is sum of gcf its couldn't of 19 is 20
simplify: -4(x - 6) + 3(a - 7)
A. -4x + 3a - 3
B. -4x + 3a + 3
C. -4x + 3a + 45
D. -4x + 3a - 45
We have -4(x - 6) + 3(a - 7) = -4x + 24 + 3a - 21 = -4a + 3a + 3
so the answer is B
ok done. Thank to me :>
Solve for the unknown angle
Answer:
would you mind uploading a pic? I would be glad to help you with this problem!!!!!!!! <3
Step-by-step explanation:
solve pls brainliest
Answer:
$6.75
Step-by-step explanation:
try try serving it's ok glad to help
In a fruit basket there are 9 bananas, 4 apples, and 3 plums.
The ratio of bananas to apples is
Answer
The ratio of bananas to apples is 3 to 4
Step-by-step explanation:
David hikes 2 1/4 mile in 1/2 an hour. if he walks for 7 hours how far will he have gone?
Find the slope and the y−intercept of the line in the graph.
The slope is .
The y−intercept is .
Can anyone help me?
Answer:
slope: 5intercept: 4Step-by-step explanation:
It works well to find the slope using points where the graph crosses grid intersections. We see two of those are (0, 4) and (1, 9). The slope formula tells us ...
m = (y2 -y1)/(x2 -x1)
m = (9 -4)/(1 -0) = 5
The slope is 5.
__
The y-intercept is the value of y when x=0. The point (0, 4) tells us ...
The y-intercept is 4.
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box
Quick please!!!! 50 points!!
Answer:
2,1
Step-by-step explanation:
Explain the difference between (3) -n and (3) n
Answer:
you mean different b/n -3 and 3 ya ?ok -3 is get left of zero and positive 3 is (3>0) but -3<0
You have 64 coins, consisting of pennies, nickels, and quarters. The value of the coins is $4.60. You also know that you have three times as many nickels as quarters. Find the quantity of each type of coins
Number of pennies =
Number of nickels =
Number of quarters =
Answer:
There are 20 pennies, 33 nickels and 11 quarts.
Step-by-step explanation:
Total number of coins = 64 Amount of money = $4.60 = 460 cents
x = pennies y = nickels x = quarters
y x 3 = x
x + y + z = 64 coins
x + 5y + 25z
x + 4z = 64
x + 40z = 460
x = 20 z = 11
y = 3z = 33
what is 5000000000000 divided by 11
Answer:
45.454
Step-by-step explanation:
The sum of a two-digit number and the number obtained by reversing its digits is 121. Find the number if it’s unit place digit is 5.
Answer:
65+56=121
Let no. be t5
reverse will be 5t
t*10 + 5 + 5*10 + t = 11t + 55 = 121 => 11t = 66 => t = 6
So no. = 65
Step-by-step explanation:
what is the answer help
Answer:
1
Step-by-step explanation:
y=-x-1
when it is perpendicular, it is the opposite then flip the fractions so 1 and if you flip 1 it is still 1