Answer:
[tex] n + 7 \le 9 [/tex]
Step-by-step explanation:
[tex] n + 7 \le 9 [/tex]
The phrase absolute magnitude refers to the
A)
perceived color of a star.
3
)
exact distance from Earth.
C)
amount of light given off by a star.
D
amount of light received on Earth from any stan
ding
1/3 to 2/3 percent change
Answer:
33.33% Change
Step-by-step explanation:
Which value of q makes -15 - (-9) = q a true sentence? *
Answer:-24
-15-(-9)
sove -15+(-9)
Step-by-step explanation:
Answer:
The answer is -6
Step-by-step explanation:
Do -15+9 since a negative and a negative equals a positive
and you get -6
Shannon was born on 12/21/1982. How many eight-digit codes could she make using the digits in her birthday?
Answer:
The value is [tex]Z = 1120 \ eight -digit \ code [/tex]
Step-by-step explanation:
From the question we are told that
The birth date of Shannon is 12/21/1982
Generally the number of digits present in her birth date is N = 8
Looking at the date we can see that 1 repeated 3 times
2 repeated 3 times
Generally the total number eight -digit code that she could make using her birthday given the total number of digits that make up her birth date is N = 8
is mathematically represented as
K = 8!
but but given that digit 1 repeated itself 3 times , and 2 repeated itself 3 times then the total number of eight -digit code that she could make using her birthday will be mathematically evaluated as
[tex]Z = \frac{K}{3 ! * 3!}[/tex]
=> [tex]Z = \frac{8!}{3 ! * 3!}[/tex]
=> [tex]Z = \frac{8* 7*6*5* 4 * 3!}{3 ! * 3* 2*1 }[/tex]
=> [tex]Z = 1120 \ eight -digit \ code [/tex]
Shannon could make 40,320 eight-digit codes using her digits in her birthday.
Given that Shannon was born on 12/21/1982, to determine how many eight-digit codes could she make using the digits in her birthday, the following calculation must be performed:
8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = X 56 x 30 x 12 x 2 = X 1680 x 24 = X 40320 = X
Therefore, Shannon could make 40,320 eight-digit codes using her digits in her birthday.
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which one of them has no solution
What does interpret mean in algebra
Answer:
Giving a value
Step-by-step explanation:
The value itself is called an interpretation of the corresponding expression.
Hadley is driving to Colorado. she has been traveling for 4 hours, and she driven 260 miles. find her speed in miles per hours.
65 m/h
The formula we use for speed is Distance ÷ Time so, 260 miles ÷ 4 hours = 65 miles per hour.
Point Z is the incenter of ΔSRT.
Point Z is the incenter of triangle S R T. Lines are drawn from the points of the triangle to point Z. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. Angle A Z R is 35 degrees. Angle Z R C is 35 degrees. Angle B S Z is 24 degrees. Angle Z S A is 24 degrees.
What is mAngleZTB?
24°
31°
35°
62°
Point H is the center of the circle that passes through points D, E, and F.
Point H is the center of the circle that passes through points L, M, and N.
Line segment H E is-congruent-to line segment H D
Line segment L H is-congruent-to line segment N H
Line segment F L is-congruent-to line segment F N
Answer:
The answer is 31
Step-by-step explanation:
ZTB= 31
The measure of angle ∠ZTB of triangle SRT is 31°.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
Let S R T be a triangle, and point Z is the in center of triangle S R T.
Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C as shown in the below figure.
Here, ∠ AZR = 35°, ∠ZRC = 35°, ∠ BSZ = 24°, ∠ZSA = 24°, ∠ZTB = ?
The in center of a triangle is the intersection point of all the three interior angle bisectors of the triangle. It can be defined as the point where the internal angle bisectors of the triangle cross.
According to the angle bisector theorem,
⇒ [tex]\angle ZRC = \angle ARZ[/tex]
⇒ [tex]\angle ARZ = 35\degree[/tex]
Let the unknown angle, ∠ZTB be x. Then ∠BTC = 2x
The sum of the interior angles of a triangle is equal to 180°,
So, [tex]24+24+35+35+2x=180[/tex]
⇒ [tex]118+2x=180[/tex]
⇒ [tex]2x=180-118[/tex]
⇒ [tex]x=\frac{62}{2}[/tex]
⇒ [tex]x=31[/tex]
Hence we can conclude that the measure of angle ∠ZTB of triangle SRT is 31°.
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Cloud seeding has been studied for many decades as a weather modification procedure. The rainfall in acre-feet from 20 clouds that were selected at random and seeded with silver nitrate are as follows, 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7, and 31.6.
Assume this sample data follows a normal distribution.
A) Assume that the true standard deviation of the rainfall is σ = 4. Can you support a claim that mean rainfall from seeded clouds exceeds 25 acre-feet? Use ???? = 0.01.
B) Check that rainfall is normally distributed.
C) Compute the power of the test if the true mean rainfall is 27 acre-feet.
D) What sample size would be required to detect a true mean rainfall of 27.5 acre-feet if we wanted the power of the test to be at least 0.9?
E) Explain how the question in part (a) could be answered by constructing a one-sided confidence bound on the mean diameter.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
X : 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7,31.6
True standard deviation (σ) = 4
α = 0.01
Mean (m) of the data:
Σ(X) /n = 520.7/20
m = 26.035 = 26.04
Uaing calculator :
Sample standard deviation (s) = 4.785
Null hypothesis : μ = 25
Alternative hypothesis : μ > 25
Test statistic (t) : (m - μ) / (s/√n)
t = (26.04 - 25) / (4.785/√20)
t = 0.972
We can obtain the p value using the pvalue from t score calculator :
df = n - 1 = 20 - 1 = 19
Decision:
If p < 0.01 ; reject null
p(0.972, 19) = 0.1716
Since p > 0.1716 ; we fail to reject the Null
What is the result when the number 48 is decreased by 89%?
Answer:
42.72
Step-by-step explanation:
Answer:
5.28
Step-by-step explanation:
100%-89%=11%
48x11%=5.28
Label the endpoints to round 49.672 to the nearest hundredth
Answer: 49.6
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Enter an equation to represent the relationship. Then solve the equation. Let x represent a number.
A number decreased by 32 is the same as 33 minus 4 times the number.
1. The equation is...
2. x =
Answer:
x = 13
Step-by-step explanation:
x represent a number
Decrease means subtract
x-32
Is means equals
x-32 =
33 minus 4 times the number
33 - 4x
x-32 =33 - 4x
Add 4x to each side
x -32+4x = 33-4x+4x
5x -32 = 33
Add 32 to each side
5x-32+32 =33+32
5x = 65
Divide by 5
5x/5 = 65/6
x = 13
Suppose f(x)= −2x^2+10x−2
Compute the following:
A.) f(−4) +f(3)=
Answer:
Meu pênis, nha... Vai comer um sanduiche
Step-by-step explanation:
Sei lá cara, matematica não é comigo
The illinoian stage began about 300,000 years ago. The wallstonian began about 352,000 years ago. Compare 300,000 to 352,000
Answer:
300,000 is less than 352,000
Step-by-step explanation:
PLEASE ANSWER ASAP!!!
what is the value of 4^2/2? describe the steps you took to find your answer.
Answer:
8
Step-by-step explanation:
Sanderson Manufacturing produces ornate, decorative wood frame doors and windows. Each item produced goes through three manufacturing processes: cutting, sanding, and finishing. Each door produced requires 1 hour in cutting, 30 minutes in sanding, and 30 minutes in finishing. Each window requires 30 minutes in cutting, 45 minutes in sanding, and 1 hour in finishing. In the coming week Sanderson has 40 hours of cutting capacity available, 40 hours of sanding capacity, and 60 hours of finishing capacity. Assume all doors produced can be sold for a profit of $500 and all windows can be sold for a profit of $400.
Required:
a. Formulate an LP model for this problem.
b. Sketch the feasible region.
c. What is the optimal solution?
Answer:
Let X1 be the number of decorative wood frame doors and X2 be the number of windows.
The profit earned from selling each door is $500 and the profit earned from selling of each window is $400.
The Sanderson Manufacturer wants to maximize their profit. So for this model, the objective function is
Max: 500X1 + 400X2
Now the total time available for cutting of door and window are 2400 minutes.
so the time taken in cutting should be less than or equal to 2400.
60X1 + 30X2 ≤ 2400
The total available time for sanding of door and window are 2400 minutes. Therefore, the time taken in sanding will be less than or equal to 2400. 30X1 + 45X2 ≤ 2400
The total time available for finishing of door and window is 3600 hours. Therefore, the time taken in finishing will be less than or equal to 3600. 30X1 + 60X2 ≤ 3600
As the number of decorative wood frame door and the number of windows cannot be negative.
Therefore, X1, X2 ≥ 0
so the question s
a)
The LP mode for this model is;
Max: 500X1 + 400X2
Subject to:
60X1 + 30X2 ≤ 2400
]30X1 +45X2 ≤ 2400
30X1 + 60X2 ≤ 3600
X1, X2 ≥ 0
b) Plot the graph of the LP
Max: 500X1+ 400X2
Subject to:
60X1 + 30X2 ≤ 2400
30X1 + 45X2 ≤ 2400
30X1 + 60X2 ≤ 3600
X1,X2
≥ 0
In the uploaded image of the graph, the shaded region in the graph is the feasible region.
c) Consider the following corner point's (0,0), (0, 53.33), (20, 40) and (40, 0) of the feasible region from the graph
At point (0, 0), the objective function,
500X1 + 400X2 = 500 × 0 + 400 × 0
= 0
At point (0, 53.33), the value of objective function,
500X1 + 400X2 = 500 × 0 + 400 × 53.33 = 21332
At point (40, 0), the value of objective function,
500X1 + 400X2 = 500 × 40 + 400 × 0 = 20000
At point (20, 40), the value of objective function
500X1 + 400X2 = 500 × 20 + 400 × 40 = 26000
The maximum value of the objective function is
26000 at corner point ( 20, 40 )
Hence, the optimal solution of this problem is
X1 = 20, X2 = 40 and the objective is 26000
The length of a rectangle is 4 times it’s width.write three different expressions to describe its perimeter
A baby blue whale can gain up to 200 pounds a day after it is born. If a baby blue whale has gained 7 x 103 pounds since its birth, how many days old is it?Express your answer
in standard notation.
Answer:
35 days
Step-by-step explanation:
Weight gain per day = 200 pounds
Weight gained by a whale since birth = [tex] 7*10^3 [/tex] pounds
Number of days of the whale = [tex] \frac{7*10^3}{200} = \frac{7*10*10*10}{200} [/tex]
[tex] = \frac{7*1000}{200} = \frac{7000}{200} = \frac{70}{2} = 35 [/tex]
In standard notation form, the whale is 35 days old.
what are all the numbers of the square root of pie?
PLZ ANSWER QUICKLY I WILL GIVE 80 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!
3.1415926535897932384626433832795. But it's approximately 1.77
Send help please help :D
Answer:
A) Slope =
[tex]m = \frac{1}{4} x[/tex]
explanation:
Take 2 random points off the line, I used (4,1) & (8,2)
The formula to find the slope when given 2 points is
[tex]m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} [/tex]
so in this case x1 & y1 are assigned to (4,1)
4 = x11 = y1and x2 & y2 are assigned to (8,2)
8 = x22 = y2so substitute the numbers into the formula and solve !
[tex] m= \frac{y2 - y1}{x2 - x1} = \frac{2 - 1}{8 - 4} = \frac{1}{4} [/tex]
this will result in the answer I got above!!
B) yes it does show a constant rate of change cause it's increasing in 1/4x intervals
C) just because you move the placement of a line on the graph doesn't mean it's going to effect the slope as long as the numbers on the axis don't change!!
PLEASE HELPP
Solve the following equation:
1/3(y-2) - 5/6(y+1) = 3/4 (y-3) - 2
1. 11/5
2. -11/ 5
3. 53/15
Answer:
1. 11/5Step-by-step explanation:
Solving in steps:
1/3(y-2) - 5/6(y+1) = 3/4 (y-3) - 21/3y - 2/3 - 5/6y - 5/6 = 3/4y - 9/4 - 21/3y -5/6y - 3/4y = 2/3 + 5/6 - 9/4 - 21/12y(4 - 10 - 9) = 1/12(8 + 10 - 27 - 24)y*(-15) = - 3315y = 33y = 33/15y = 11/5Correct option is 1.
Finding the Slope of a Line Given a Table
Try it
Find the slope of the line that passes through the points
shown in the table.
The slope of the line that passes through the points in
the table is
2
y
-14
8
-7
6
0
4
7
2
14
0
Intro
Done
Answer-
The slope of the line that passes through the points is
Solution-
As there is a single line passing through all these points, so taking any two points and then applying the formula for slope will give the slope of the line.
The points are,
(-14, 8), (-7, 6), (0, 4), (7, 2), (14, 0)
Taking two points as, (0, 4), (7, 2)
x₁ = 0
y₁ = 4
x₂ = 7
y₂ = 2
Putting the values,
Therefore, the slope of the line that passes through the points is
Step-by-step explanation:
The slope of the line that passes through the points in the table is -2/7.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Given a table which shows the points on the line.
Slope of a line passing through two points (x, y) and (x', y') is,
Slope = (y' - y) / (x' - x)
Take any two points on the line.
(0, 4) and (7, 2).
Slope = (2 - 4) / (7 - 0) = -2/7
Hence the slope of the line is -2/7.
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The graph represents the balance on Harrison’s car loan in the months since purchasing the car.
A coordinate plane showing Car Loan Payments. The x-axis shows Months since Purchase and the y-axis shows Loan Balance in dollars. There is a straight line that starts at (0, 7,000) and passes through (2, 6,500), (4, 6,000), and (26, 500).
Which statement describes the slope of the line?
The loan balance decreases $500 per month.
Harrison makes a monthly payment of $250.
The loan balance increases $250 per month.
Harrison increases his monthly payment by $500 each month.
Answer:
Step-by-step explanation:
I think it's the loan balances decreases $500 per month because every month it starts decreasing down by 500
Answer:
Answer is B
Step-by-step explanation:
Suppose tan(b) = -2, and the terminal side of b is located in quadrant II. What is cot(b)?
Suppose tan(b) = -2, and the terminal side of b is located in quadrant II, then cot(b) = -1/2
Note that:
tan(b) = Opposite/Adjacent
Comparing the above relationship with tan(b) = -2/1:
Opposite = -2
Adjacent = 1
Also note that:
cot(b) = 1/tan(b)
cot(b) = Adjacent/Opposite
Substitute opposite = -2 and adjacent = 1 into the expression for cot(b)
cot(b) = -1/2
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How many solutions does the following equation have? -253-1 +352 = 10x + 1
Answer:
there's only one solution for the x value
Step-by-step explanation:
-253-1+352=10x+1
99=10x
99/10=x
9,9 = x
need help really please
Answer:
B, D
Step-by-step explanation:
Round 65.177 to the nearest tenth
Answer:
65.18
Step-by-step explanation:
7 is higher than 5 so you round the first 7 up to 8
1.
The distribution of the number of transactions per day at a certain automated teller machine (ATM) is
approximately normal with a mean of 80 transactions and a standard deviation of 10 transactions. Which of
the following represents the parameters of the distribution?
ī=80; s = 10
B
I = 80; 92 = 10
I = 80; o = 10
D x = 80; o = 10
Ei=80; 8 = 10
Answer:
ī=80; s = 10
Step-by-step explanation:
When the standard deviation is from a finite group it is denoted by s. The number of transactions from an atm are countable in a day. So the standard deviation will be represented by s.
and ī represents the mean.
The other choices are incorrect because mean is usually represented by a bar over the alphabet such as x.
a simple alphabet does not denote the mean of the sample or population.
Parameters are the characteristics used to define a dataset.
The representation of the parameters are: [tex]\bar x = 80[/tex] and [tex]s = 10[/tex]
From the question, we have:
[tex]Mean = 80[/tex]
[tex]Standard\ Deviation = 10[/tex]
Mean is represented as: [tex]\bar x[/tex]
So, we have:
[tex]\bar x = 80[/tex]
Standard deviation is represented as [tex]\sigma[/tex] of s.
So, we have:
[tex]s = 10[/tex]
Hence, the representation of the parameters are:
[tex]\bar x = 80[/tex] and [tex]s = 10[/tex]
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Solve 8|x+2|−6=5|x+2|+3.
Decide whether the experiment is a binomial experiment:
A. Selecting five cards, one at a time without replacement, from a standard deck of cards. The random variable is the number of face cards obtained.
B. Survey 50 investors to see how many different stocks they own. The random variable represents the number of different stocks owned by each investor.
C. Survey 150 college students to see whether they are enrolled as new students. The random variable represents the number of students enrolled as a new student.
D. Each week, a gambler plays blackjack at the local casino. The random variable is the number of times per week the player wins.
Answer:
The correct options are A and C.
Step-by-step explanation:
A Binomial experiment has the following properties:
There are a fixed number of trials (n). Each trial are independent of the others. Each trial has only two outcomes: Success and Failure Each trial has the same probability of success (p).If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.
(A)
Selecting five cards, one at a time without replacement, from a standard deck of cards. The random variable is the number of face cards obtained.
X = number of face cards .
There are n = 52 cards in a standard deck of cards.
There are 12 face cards in the standard deck of cards.
The probability of selecting a face card is, [tex]p=\frac{12}{52}=0.231[/tex].
The selection is done without replacement.
Thus, the experiment is a binomial experiment.
(C)
Survey 150 college students to see whether they are enrolled as new students. The random variable represents the number of students enrolled as a new student.
X = number of students enrolled as a new student.
The number of students selected for the survey, n = 150.
Each students response is independent of the others.
Thus, the experiment is a binomial experiment.