Answer:
i can't rly read number 22 srry
b x+1>0=x>-1
c x+1<0=x<-1
Hope This Helps!!!
whats the radius for the circle? x^2+2x+y^2+4y-6=0
Answer:
r = \(\sqrt{11}\)
Step-by-step explanation:
So we need to complete the square for both parts of the equation
First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6
So first we can complete the square for x² + 2x
To do so we need to use \((\frac{b}{2} )^{2}\) to figure out the number we need to add to both sides
In this case our b is 2, so substituting this in we get \((\frac{2}{2} )^{2} =(1)^{2} =1\)
Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1
Now we can follow the same steps to complete the square for y² + 4y
Here our b is 4, so substituting this in we get \((\frac{4}{2} )^{2}=(2)^{2} =4\)
Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4
Now condensing everything we have (x + 1)² + (y + 2)² = 11
The formula for a circle is (x - h)² + (y - k)² = r²
In our equation we have r² = 11
To find the radius we need to take the square root of both sides \(\sqrt{r^{2}} =\sqrt{11}\) to get r = \(\sqrt{11}\)
90% of juniors have their driver's licence. If Eagle Mountain High has 576 juniors with a driver's license, then how many juniors are enrolled?
Answer:
518.4
Step-by-step explanation:
Divided
1. A variable is normally distributed with a mean of 16 and a standard deviation of 6 . Find the percent of the data set that: (a) is greater than 16 (b) falls between 10 and 22 (c) is greater than 28 (d) is less than 1 (e) falls between 4 and 19 (f) falls between 22 and 31 APPLICATIONS 2. The weights of Siamese cats are normally distributed with a mean of 6.4 pounds and a standard deviation of 0.8 pounds. If a breeder of Siamese cats has 128 in his care, how many can he expect to have weights between 5.2 and 7.6 pounds? (1) 106 (3) 98 (2) 49 (4) 111 3. If one quart bottles of apple juice have weights that are normally distributed with a mean of 64 ounces and a standard deviation of 3 ounces, what percent of bottles would be expected to have less than 58 ounces? (1) 6.7% (3) 0.6% (2) 15.0% (4) 2.3% 4. Historically daily high temperatures in July in Red Hook, New York, are normally distributed with a mean of 84
∘
F and a standard deviation of 4
∘
F. How many of the 31 days of July can a person expect to have temperatures above 90
∘
F ?
1. (a) 50% of the data set is greater than 16.
(b) 68.26% of the data set falls between 10 and 22.
(c) 2.28% of the data set is greater than 28.
(d) 0.62% of the data set is less than 1.
(e) 66.87% of the data set falls between 4 and 19.
(f) 15.25% of the data set falls between 22 and 31.
2. the breeder can expect to have approximately 111 Siamese cats with weights between 5.2 and 7.6 pounds.
3. approximately 2.28% of the bottles would be expected to have less than 58 ounces.
(a) Since the variable is normally distributed with a mean of 16 and a standard deviation of 6, we can use the Z-score formula:
Z = (X - μ) / σ
where X is the value we're interested in, μ is the mean, and σ is the standard deviation.
X = 16, μ = 16, and σ = 6.
Z = (16 - 16) / 6 = 0
The Z-score of 0 corresponds to the mean of the distribution. To find the area to the right of 16, we can look up the Z-score of 0 in the standard normal distribution table, which gives us a value of 0.5000. However, since we want the area to the right, we subtract this value from 1:
1 - 0.5000 = 0.5000
Therefore, 50% of the data set is greater than 16.
(b) To find the percent of the data set that falls between 10 and 22, we can calculate the area under the normal distribution curve between these two values.
Z₁ = (10 - 16) / 6 = -1.00
Z₂ = (22 - 16) / 6 = 1.00
Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = -1.00 is 0.1587 and the area to the left of Z = 1.00 is 0.8413. To find the area between these two Z-scores, we subtract the smaller area from the larger area:
0.8413 - 0.1587 = 0.6826
Therefore, 68.26% of the data set falls between 10 and 22.
(c) To find the percent of the data set that is greater than 28
Z = (28 - 16) / 6 = 2.00
Looking up this Z-score in the standard normal distribution table, we find that the area to the left of Z = 2.00 is 0.9772. Since we want the area to the right, we subtract this value from 1:
1 - 0.9772 = 0.0228
Therefore, 2.28% of the data set is greater than 28.
(d) To find the percent of the data set that is less than 1
Z = (1 - 16) / 6 = -2.50
Looking up this Z-score in the standard normal distribution table, we find that the area to the left of Z = -2.50 is 0.0062. Therefore, 0.62% of the data set is less than 1.
(e) To find the percent of the data set that falls between 4 and 19
Z₁ = (4 - 16) / 6 = -2.00
Z₂ = (19 - 16) / 6 = 0.50
Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = -2.00 is 0.0228 and the area to the left of Z = 0.50 is 0.6915. Subtracting the smaller area from the larger area:
0.6915 - 0.0228 = 0.6687
Therefore, 66.87% of the data set falls between 4 and 19.
(f) To find the percent of the data set that falls between 22 and 31
Z₁ = (22 - 16) / 6 = 1.00
Z₂ = (31 - 16) / 6 = 2.50
Looking up these Z-scores in the standard normal distribution table, we find that the area to the left of Z = 1.00 is 0.8413 and the area to the left of Z = 2.50 is 0.9938. Subtracting the smaller area from the larger area:
0.9938 - 0.8413 = 0.1525
Therefore, 15.25% of the data set falls between 22 and 31.
2. For the weights of Siamese cats, which are normally distributed with a mean of 6.4 pounds and a standard deviation of 0.8 pounds, we want to find the number of cats that have weights between 5.2 and 7.6 pounds.
Z₁ = (5.2 - 6.4) / 0.8 = -1.5
Z₂ = (7.6 - 6.4) / 0.8 = 1.5
The area to the left of Z = -1.5 is 0.0668, and the area to the left of Z = 1.5 is 0.9332. To find the area between these two Z-scores, we subtract the smaller area from the larger area:
0.9332 - 0.0668 = 0.8664
This means that 86.64% of Siamese cats are expected to have weights between 5.2 and 7.6 pounds.
To find the number of cats in a sample of 128 cats, we can multiply the percent by the total number of cats:
0.8664 * 128 = 110.87
Rounding to the nearest whole number, the breeder can expect to have approximately 111 Siamese cats with weights between 5.2 and 7.6 pounds.
3. For one quart bottles of apple juice with weights normally distributed with a mean of 64 ounces and a standard deviation of 3 ounces, we want to find the percent of bottles that would be expected to have less than 58 ounces.
To calculate this, we can convert the weight of 58 ounces to a Z-score:
Z = (58 - 64) / 3 = -2
Looking up the Z-score of -2 in the standard normal distribution table, we find that the area to the left of Z = -2 is 0.0228. Therefore, approximately 2.28% of the bottles would be expected to have less than 58 ounces.
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solve for x: X- 14= -12
Answer:
26
Step-by-step explanation:
Easy
The answer to the equation is 2
\(2-14=-12\)
60 marks out of 75 full marks
express in percent
1) what percentage of the shape below is shaded?
Answer:
37.5% if wrong sorry
Step-by-step explanation:
If you put $300 in a savings account that pays 8% for one year what is the amount of money you will have at the end of the one year?
Answer:
Step-by-step explanation:
27
Help please I’ll give brainliest
Answer:
Diameter: 18
Area: 254.5
Circumference: 56.5
Step-by-step explanation:
Select the correct answer. What is the solution to the equation? A. -3 B. 6 C. 7 D. 25
Answer:
The value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.
What is an integer exponent?
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The equation is:
After solving:
(x + 9)³ = 4096
x + 9 = ∛4096
x + 9 = 16
x = 7
Thus, the value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah, a total of 17 people took the trip. She was able to purchase coach tickets for $350 and first-class tickets for $.1100 She used her total budget for airfare for the trip, which was $ 12,030. How many first-class tickets did she buy? How many coach tickets did she buy?
Answer:
Sarah bought 9 coach tickets and 8 first class tickets.
Step-by-step explanation:
Since Sarah took the advertising department from her company on a round trip to meet with a potential client and, including Sarah, a total of 17 people took the trip, if she was able to purchase coach tickets for $ 350 and first-class tickets for $ 1100, and she used her total budget for airfare for the trip, which was $ 12,030, to determine how many first-class and coach tickets did she buy, the following calculation must be performed:
10 x 350 + 7 x 1100 = 3500 + 7700 = 11200
9 x 350 + 8 x 1100 = 3150 + 8800 = 11950
So Sarah bought 9 coach tickets and 8 first class tickets.
solve one step equation
x/-2 = -3
Answer:
x=6
Step-by-step explanation:
x/-2=-3
*-2 *-2
x=6
-hope it helps
The mean of three numbers is 10 more than the least of the numbers and 15 less than the greatest. The median of the three numbers is 5. What is their sum
Answer:
Sum is
Step-by-step explanation:
HELP ME!!!!!!!! QUICKKKKKKKKK
Answer:it’s 36 days
Step-by-step explanation:I’m smart
The answer is A, 20 days
When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula f(t)=0. 9t3−0. 1t0. 3+14,f(t)=0. 9t3−0. 1t0. 3+14, where t is the time in hours after 6 AM and f(t)f(t) is the number of barrels of fuel oil. What is the rate of consumption of fuel at 1 P. M. ? Round your answer to 2 decimal places
The rate of consumption of fuel at 1 P. M. is 131.65 barrels of fuel oil per hour.
Determine rate of consumptionThe rate of consumption of fuel at 1 PM can be found by taking the derivative of the given formula and plugging in the time t=7 (since 1 PM is 7 hours after 6 AM).
The derivative of the given formula is
f'(t)=2.7t^2-0.03t^-0.7.
Plugging in t=7 gives
f'(7)=2.7(7)^2-0.03(7)^-0.7=131.67-0.02=131.65.
Therefore, the rate of consumption of fuel at 1 PM is 131.65 barrels of fuel oil per hour. Rounded to 2 decimal places, the answer is 131.65 barrels of fuel oil per hour.
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The rational parent function is f(x)= 1/x
Define a rational function, h(x), that reflects the parent function over the x-axis, translates it 5 units to the left,
and translates it 2 units up.
Use the equation and given point to answer the questions below.
The equation of line a is y=1/2x−1, and it passes through point (6,2).
Line b is perpendicular to line a, and it passes through point (−6,2).
A: What is the slope of line b?
B: What is the y- intercept of line b?
Select two answers: one for A and one for B.
A: 2
A: −2
B: 5
A: 1/2
A: −1/2
B: −10
B: −1
B: 1
Part A
The slope of line \(a\) is \(\frac{1}{2}\). Perpendicular lines have slopes that are negative reciprocals of each other, so the answer is \(\boxed{-2}\).
Part B
Using point-slope form, the equation of line \(b\) is \(y-2=-2(x+6)\).
The \(y\)-intercept is where \(x=0\).
\(y-2=-2(0+6) \implies y-2=-12 \implies y=\boxed{-10}\)
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 29 feet, and the length of the other base is 24 feet. The height is 12 feet. What is the area of this section of the deck?
Answer:
A=318
Step-by-step explanation:
A= a+b/2h=24+29/2.12=318
What is the area of this rhombus?
Answer:
90 m²
Step-by-step explanation:
\(A=\frac{pq}{2}\)
10 · 18
180
180 ÷ 2
90
Answer:
22.5
Step-by-step explanation:
9 times 5 = 45
45/2 = 22.5
To estimate the height of a flagpole, Marci, who is 5 feet tall, stands so that her lines of sight to the top and bottom of the pole form a 90° angle. What is the height of the pole to the nearest foot? 9 ft
20 ft
25 ft
50 ft
The height of the pole is 20 feet (to the nearest foot).
Hence, option (B) is the correct answer.
What is the height of the pole to the nearest foot?Given that Marci, who is 5 feet tall, stands so that her lines of sight to the top and bottom of the pole form a 90° angle.
.Let the height of the pole be x feet
Now, using similar triangles, we can say that:
`5/x = x/h`
Where h is the distance between Marci and the pole.
Hence, we can write:
`h^2 = x^2 + 5^2`or`h^2 = x^2 + 25`
Now, using the given data, we know that `h = x + 5`
Thus, substituting h in the second equation, we get:
`(x+5)^2 = x^2 + 25`
Expanding the terms, we get:`
x^2 + 10x + 25 = x^2 + 25`
Simplifying the terms, we get:
`10x = 0x = 0`
Thus, the height of the pole is:
`x = h - 5`
But we know that h = x + 5
Hence, `x = h - 5 = (x+5) - 5 = x`
Therefore, the height of the pole is:x = 20 feet
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I Will Give You A Brainliest. I Need This Before 11/12/20 4pm.
Answer:
C Subtraction property of equality
Step-by-step explanation:
You are subtracting 21 from both sides in step 3
Answer:
I would guess C
Step-by-step explanation:
I hope I'm correct, good luck.
uppose that g is a finite group of order pnk, where k < p. show that g must contain a normal subgroup.
Given that G is a finite group of order pnk, where k < p, we can use the Sylow Theorems to show that G must contain a normal subgroup.
According to the Sylow Theorems, there must exist a Sylow p-subgroup P of G, where P has order p^n. The number of Sylow p-subgroups in G, denoted by n_p, satisfies the following properties:
1. n_p divides the index [G : P], which is equal to the order of G divided by the order of P, i.e., n_p | (pnk / p^n) = pk.
2. n_p is congruent to 1 modulo p, i.e., n_p ≡ 1 (mod p).
Since k < p, it follows that n_p = 1 (because it must divide pk and be congruent to 1 modulo p). Thus, there is only one Sylow p-subgroup in G, which must be P. When there is only one Sylow p-subgroup, it is necessarily a normal subgroup of G. Therefore, G contains a normal subgroup, P.
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7) The sum of the page numbers of two facing pages of a book is 85. What are the page numbers of two facing pages of the book. If the sum is not given, but the product is given to be 1806, how will you find the page numbers?
Answer:
42 and 43.
Step-by-step explanation:
This problem can be solved just by knowing the sum of the page numbers, as page numbers on the same face are always one digit apart. Thus we can take 85, subtract 1, divide by 2, and then get 42,42, and add 1 back to the second-page number.
To check our work we can multiply 42*43 to get 1806.
camille owns crunch code, a company that provides quick programming solutions. clients send projects to crunch via their web page and a programmer develops the needed code as quickly as possible. camille has five programmers, who do all of the coding. on average, a project arrives once every 4.8 hours, with a standard deviation of 6.00 hours. each project is assigned to one programmer and that programmer takes on average 19.2 hours to complete each project with a standard deviation of 19.2 hours. how many uncompleted projects does crunch code have in the system on average at any given time?
Therefore, on average, Crunch Code has approximately 4 uncompleted projects in the system at any given time.
To calculate the average number of uncompleted projects in the system at any given time, we need to use Little's Law, which states that the average number of entities (in this case, projects) in a stable system is equal to the average arrival rate multiplied by the average time spent in the system.
Given:
Average arrival rate (λ) = 1 project every 4.8 hours
Average time spent in the system (W) = 19.2 hours
Using Little's Law, the average number of uncompleted projects (L) is given by:
L = λ * W
Substituting the values:
L = (1/4.8) * 19.2
= 0.208 * 19.2
≈ 3.9936
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PLSSS HELP ME PLS PLS PLS AND NOOOO LINKS PLSSSS
Answer:
8.54
Step-by-step explanation:
Answer:
X = 7.4
i am glad to be helping you! good luck in your test ;)
Step-by-step explanation:
\(3^{2} + x^{2} = 8^{2} \\\\3^{2} - 8^{2} = -x^{2} \\9 - 64 = -x^{2} \\(you-cancel-the-negatives)\\\sqrt{55} = x\\7.4 = x\\\)
Given the following parallelogram and AC = 24, what is the value of x
we have, the diagonal bisect each other, therefore
\(x=\frac{AC}{2}=\frac{24}{2}=12\)answer: x = 12
a single slice has an area of 25 sqaure inches and costs $2.50. How many single slices can you get for the price of an 16 inch pie?
Answer:
8 slices
Step-by-step explanation:
πr^2=201
201/25=8
Question 6 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
(-4, 8)
(0,0)
-10
10
10
0
A. y = 1/2 x
B. y = 4x
0
y
c. y = - 1/2 x
D. y
E. y = 2x
F. V = -2
Answer:
Y=-2X
Step-by-step explanation:
The equation of the line that passes through points (0, 0) and (-4, 8) is
y = -2x.
Option F is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the equation of a line given two points, we can use the point-slope form of the equation of a line:
\(y - y_1 = m(x - x_1)\)
where m is the slope of the line and (x_1, y_1) are the coordinates of one of the points on the line.
Given the coordinates (0, 0) and (-4, 8), we can find the slope of the line:
\(m = (y_2 - y_1) / (x_2 - x_1)\)
= (8 - 0) / (-4 - 0)
= -2
Now that we have the slope of the line, we can choose one of the points to plug into the point-slope form.
Let's use (0, 0):
\(y - y_1 = m(x - x_1)\\y - 0 = -2(x - 0)\\y = -2x\)
Therefore,
The equation of the line that passes through points (0, 0) and (-4, 8) is
y = -2x.
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if f is continuous on [0, 1] and if f(x) is positive for each rational x, then does it follow that f is positive at all x?
If f is continuous on [0, 1] and if f(x) is positive for each rational x, then f is not necessarily positive at all x.
No, it does not necessarily follow that f is positive at all x.
Since f is continuous on [0, 1], it attains its minimum and maximum values on this interval. Let m be the minimum value of f on [0, 1]. Since f(x) is positive for each rational x, we know that m is positive or zero. However, it is possible for f to be zero at some point in [0, 1] where x is irrational.
For example, consider the function f(x) defined as:
f(x) = x^2 if x is rational
f(x) = 0 if x is irrational
This function is continuous on [0, 1], and it is positive for each rational x, since x^2 is always non-negative. However, f(√2) = 0, which shows that f is not positive at all x.
Therefore, it is not necessarily true that if f is continuous on [0, 1] and if f(x) is positive for each rational x, then f is positive at all x.
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What are the x-intercepts of the function y = x2 - X - 6?
Answer:(3,0) , (-2,0)
Step-by-step explanation:To find the x-intercept, substitute in 0 for y and solve for x
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(f(x) = {x}^{2} - x - 6 \)
\(f(x) = (x - 3)(x + 2)\)
\(0 = (x - 3)(x + 2)\)
_________________________________
Hint :
\(a \times b = 0\)
\(a = 0 \: \: \: or \: \: \: b = 0\)
_________________________________
Thus ;
\( x - 3 = 0\)
Add sides 3
\(x - 3 + 3 = 0 + 3\)
\(x = 3\)
Or
\(x + 2 = 0\)
Subtract sides 2
\(x + 2 - 2 = 0 - 2\)
\(x = - 2\)
Thus the x-intercepts are (( - 2 )) and (( 3 )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Himari is solving the equation 4(−12)=16 4 x -12 = 16 . Her first step is 4−12=16 4 x - 12 = 16 .
Answer:
Step-by-step explanation:
4(−12)=16
4 x -12 = 16
Himari's solution is incorect.
it should be like shown below.
4 - (−12 ) = 16
4 + 12 = 16
16 = 16
so it equates balance.