Answer:b
Step-by-step explanation:Evaluate the expression when a=−15 and b=−5.
Solve the equation, and check the solution. w/3 = 0.9 (The w is a variable for the fraction)
Answer:
w = 2.7
Step-by-step explanation:
To solve for what number divided by 3 is equal to 0.9 you can do 0.9*3 and get the answer 2.7. w = 2.7.
You buy dinner at a restaurant. Your bill is $17.50. The tax is 9%. You leave a 20% tip. How much did you pay total?
Answer:
22.57
Step-by-step explanation:
17.50 + (17.50 x 0.2) + (17.50 x 0.09) = 22.575
6. Let E, F, G be three events. Find expressions for the events that of E, F, G a. only E occurs; b. both E and G but not F occur; c. at least one of the events occurs; d. at least two of the events occur; e. all three occur; f. none of the events occurs; g. at most one of them occurs; h. at most two of them occur; i. exactly two of them occur; j. at most three of them occur.
Answer:
a.) only E occurs :
E((FUG)')
b.) both E and G but not F
EG(F')
C.) Atleast one of the events :
(E U G U F)
d.) Atleast two of the events
(EG U EF U GF)
E.) all three occurs
(EGF)
F.) none of the events occur :
(E U G U F)'
G.) At most one of the events occur
(EG U EF U GF)'
H.) at most two of them occur
(E' U G' U F')
I.) exactly two of them occur;
(EG U EF U GF) * (EGF)'
j. at most three of them occur.
EFG U (EFG)'
Step-by-step explanation:
Events = {E, F, G}
a.) only E occurs :
E((FUG)') ; E and not F or G
b.) both E and G but not F
EG(F') ; both E and G and not F
C.) Atleast one of the events :
(E U G U F) ; Either E or F or G
d.) Atleast two of the events
(EG U EF U GF) ; Either EG or EF or GF occurs
E.) all three occurs
(EGF) ; All three events, E, G and F occurs
F.) none of the events occur :
(E U G U F)' ; Neither E, G nor F occurs
G.) At most one of the events occur
(EG U EF U GF)' ; complement of atleast two) at most one
H.) at most two of them occur
(E' U G' U F') ; Either E , F or G does not occur
I.) exactly two of them occur;
(EG U EF U GF) * (EGF)' ; Exactly two events occurs and all three events Do not occur
j. at most three of them occur.
EFG U (EFG)' ; All three events occur union all three events do not occur
A dilation maps AB onto A'B'. If the coordinates of the
endpoints are
A(4,2),
A'(10,5),
B(10,6),
B'(25, 15), then
what is the scale factor?
Answer:
[tex]k = 2.5[/tex]
Step-by-step explanation:
Given
[tex]A = (4,2)[/tex]
[tex]A' = (10,5)[/tex]
[tex]B = (10,6)[/tex]
[tex]B' = (25,15)[/tex]
Required
Determine the scale factor (k)
Scale factor is calculated using:
[tex]Old * k = New[/tex]
In this case, we have:
[tex]AB* k = A'B'[/tex]
Make k the subject
[tex]k = \frac{A'B'}{AB}[/tex]
Using point A and A'
[tex]k = \frac{A'}{A}[/tex]
[tex]k = \frac{(10,5)}{(4,2)}[/tex]
Factorize the numerator
[tex]k = \frac{2.5(4,2)}{(4,2)}[/tex]
[tex]k = 2.5*\frac{(4,2)}{(4,2)}[/tex]
[tex]k = 2.5*1[/tex]
[tex]k = 2.5[/tex]
Given the following data set: 3 5 6 7 7 8 8 8 9 9 9 10 102 Researcher detected the technical error in the last observation and replaced 102 by 10.2. What happens to Interquartile Range (IQR) and Standard Deviation (SD)
Answer:
After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04
Step-by-step explanation:
Given the data:
3 5 6 7 7 8 8 8 9 9 9 10 102
Ordered data: 3, 5, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 102
The interquartile range (IQR) for the data:
IQR = Q3 - Q1
Q3 = 3/4(n + 1) th term.
n = sample size = 13
Q3 = 3/4(14) = 10.5th term
Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9
Q1 = 1/4(14) = 3.5th term
Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5
IQR = Q3 - Q1 = 9 - 6.5 = 2.5
THE STANDARD DEVIATION :
Sqrt[Σ(X - m)²/n-1]
Using calculator :
Standard deviation = 26.3
Correcting error in the data:
3 5 6 7 7 8 8 8 9 9 9 10 10.2
Q3 = 3/4(n + 1) th term.
n = sample size = 13
Q3 = 3/4(14) = 10.5th term
Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9
Q1 = 1/4(14) = 3.5th term
Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5
IQR = Q3 - Q1 = 9 - 6.5 = 2.5
THE STANDARD DEVIATION :
Sqrt[Σ(X - m)²/n-1]
Using calculator :
Standard deviation = 2.04
After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04
PLEASE HELP ITS URGENT
12. Carla is lying on the ground between two trees in her backyard. She is 67 feet from the tree to her left. The angle of elevation from her eyes to the top of the tree on the left is 50°. Carla is 75 feet from the tree to her right and the angle of elevation from her eyes to the top of that tree is 36°. a. Determine the height of each tree to the nearest foot. Show your work. b. State which tree is taller, and by how much.
Answer:
the left tree is taller
Step-by-step explanation:
shown in work above :)
The first tree is taller than the second tree by 25.3 ft.
We have to use the trigonometric ratios and angle of elevation to obtain the height of each tree as follows;
Let the height of the first tree be h1 and the height of the second tree be h2.
For the first tree;
tan 50° = h1/67
h1 = 67 tan 50° = 79.8 ft
For the second tree;
tan 36° = h2/75
h2 = 75tan 36°
h2 = 54.5 ft
The first tree is taller than the second tree by 25.3 ft.
Learn more about angle of elevation: https://brainly.com/question/12483071
i need help really fast
Defective Merchandise Suppose that 8% of a certain batch of calculators have a defective case, and that 11 % have defective batteries. Also, 3% have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries.
Answer:
0.84 = 84% probability that the calculator has a good case and good batteries.
Step-by-step explanation:
We have these following percentages:
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
Using Venn Diagrams:
Event A: Defective Case
Event B: Defecitve Battery
So the probabilities are: [tex]P(A) = 0.08, P(B) = 0.11, P(A \cap B) = 0.03[/tex]
Probability of at least one problem:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.08 + 0.11 - 0.03 = 0.16[/tex]
Find the probability that the calculator has a good case and good batteries.
No problems, so
[tex]p = 1 - P(A \cup B) = 1 - 0.16 = 0.84[/tex]
0.84 = 84% probability that the calculator has a good case and good batteries.
The probability that the calculator has a good case and good batteries is 0.84 or 84%
Calculation of the probability:Since
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
So, the probability is
= 1- (0.08 + 0.11 - 0.03)
= 1 - 0.16
= 0.84
Therefore, The probability that the calculator has a good case and good batteries is 0.84 or 84%
learn more about probability here: https://brainly.com/question/16404410
Which ordered pair must be a solution in the graph of the linear inequality
below?
A. (0, -1)
B. (1,2)
C. (-5,1)
D. (0,0)
Answer:
it is c and you also use something called desmos to help you with graphing questions
Sarah paid $27.50 for 2 shirts. Each shirt costs the same amount.
Let n equal the cost of one new shirt.
• Create an equation that can be used to find the cost, in dollars, of n shirts.
• What is the cost of one shirt? $13.75
What is the equation??
Answer:
27.50 divided by 2
Mark buys 250 carnival tickets. He uses 30% of the tickets on food and 50% of the tickets on games and rides. How many tickets does Mark have left?
Answer:
50.
Step-by-step explanation:
50+30 =80%. 80% of 250 is 200. so he used 200 and now left with 50
2x+4x+7
i nered helpp
Answer:
6x + 7
Step-by-step explanation:
2x + 4x +7
(2 + 4)x + 7
6x + 7
Answer:
combine like terms 6x+7
You multiply a number by (–3) and the product is negative. List four possible numbers you could have multiplied by –3 and four you could not have multiplied.
Answer:
-3(43)= -129
−3(3) = −9
−3(2) = −6
−3(1) = −3
−3(0) = 0
−3(−1) = 3
−3(−2) = 6
-3(-3)= 9
Step-by-step explanation:
As the factor decreases by 1, the product increases by 3. So −3(−1) = 3, −3(−2) = 6.
Multiplying −3 by a negative integer gives a positive number.
The product of a positive number and a negative number is negative.
Rewrite the fraction 63/70 in simplest form
Answer:
9/10
Step-by-step explanation:
If you divide both the numerator and the denominator by 7 you get 9/10 and you cannot simplify this fraction any further. (Double check to make sure I'm correct)
(-12/45)+15/35-12/45+15/35 slove step vise
Answer:
[tex]\frac{35}{105}[/tex]
Step-by-step explanation:
1. Find the area of the composite figure. Heellllppppp
Answer: 24
Step-by-step explanation:
Basically you just need to add the sides up to get your answer, its like breaking it up and adding simply.
HELP NOW PLEASSEE ! Find the mean absolute deviation
When 6 pounds of coffee cost $4.68, how much will 3 1/2 pounds cost?
Answer:
2.73
Step-by-step explanation:
Have a great day! I just put it down to cost per pound and and then multiplied by 3 1/2 and got the answer. :)
Answer:
$4.48
Step-by-step explanation:
6/4.68 = 1.28205128205 = 1.28
3 1/2 x 1.28 =
3.5 x 1.28 = 4.48 =
$4.48
If you invest $2400 at an annual rate of 4.5% that is compounded continuously, how long will it take for your money to double in value? Round to the nearest tenth of a year Hint: use $4800 for A
Answer:
It will take 13.71 years
to double your investment
at 5.25% annual interest. (actual years = 13.55)
Step-by-step explanation:
i think its right if not am sorry
Tanvi finds that her robot vacuum can clean her 150-square-foot kitchen in 1 of an hour. How
many square feet could the robot vacuum clean in 1 hour?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
square feet
Submit
X X Practice in the app
Wariant
Answer:
300
Step-by-step explanation:
Pls can someone answer how to round 5pi to the nearest 10th I’ll give you brain points or whatever
Answer:
Step-by-step explanation:
5[tex]\pi[/tex]=15.70...
To round a number to the nearest tenth , look at the next place value to the right (the hundredths)which is 0 in this question.
Thus, it will become 15.7
The circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
The diameter of the nickel (circle) is 5 millimeters
D = 5 millimeters
The circumference of the circle = πD
Plug D = 5 millimeters in the above formula:
The circumference of the circle = 5π mm
As we know,
π = 3.141 ≈ 3.14 (Rounded to the nearest the Hundredths Place)
The circumference of the circle = 5π = 15.70796 mm
The circumference of the circle = 15.70796 = 15.7 mm
(Rounded to the nearest Tenths Place)
Thus, the circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
please help! (URGENT)
Answer:
X = 5
Step-by-step explanation:
94 – 3( -7 + ( 5 – 8 ) ^2 )
Answer:
142 is the correct answer (PEMDAS)
Diana had 41 stickers. She put them in 7 equal groups. She put as many as possible in each group. She gave the leftover stickers to her sister. How many stickers did Diana give to her sister?
Answer:
5 to each group and she gave 6 stickers to he sister
Some one please help
Answer:
1/31 or [tex]\frac{1}{31}[/tex]
To find the answer, simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
if i earn $500 a week how much weeks do i have to work in order to have $1200
Answer:about 2 1/4 weeks
Step-by-step explanation:
Answer:
2 with a remainder of 200
I just divided it.
find slopes , ill mark brainlist
Answer:
[tex]\frac{3}{2}[/tex] [tex]or[/tex] [tex]1\frac{1}{2}[/tex]
Step-by-step explanation:
We are given a graph and asked to find the slope.
So we can see two coordinate points, one on (0, 3) and (2, 0).
When trying to find slope, we use the method rise over run, which basically means y over x as a fraction, in which you then divide.
So count how many times it'll take for x to get to y, base it off the picture below
Since we see our numbers to be divided are 3 over 2, do the division and you get 1 1/2.
Would this be negative though? No, since the graph is in an increase, not a decrease.
How do u calculate Pythagorean theorem and what is the formula
Answer:
The formula is
Step-by-step explanation:
a^2 + b^2 = c^2
hope this helps
What is the value of X in this question?? I need help please!
Answer:
The value of x would be 23
Step-by-step explanation:
You must first find the angles of triangle CDE. So to find angle C you must know that a straight line is equal to 180 degrees, 180-117=63 So angle C would be 63 degrees. Angle D is congruent to Angle B so Angle D would equal 24 Degrees. Then to find the angle of Angle E simply subtract 87 from 180 (You Get 87 From Adding 24 and 63), 180-87=93. Know that you know that Angle E is 93 Degrees set up the equation, 4x+1 = 93 SOLVE.
4x+1=93
4x = 92
x = 23.
Glenda sells coffee for 50¢ and empanadas for $2 at the park on the weekends. One Saturday she
sold 90 items and made $105. How many coffees did she sell?
Answer:
50 coffees
(and 40 empanadas)
Step-by-step explanation:
x= coffee y=empanadas
.5x+2y=105
x+y=90
Isolate a variable
x+y=90
x-90= -y
-x+90=y
Plug this in for y in the other equation
.5x+2(-x+90)=105
Solve for x
.5-2x+180=105
-1.5x= -75
x=50
we can stop here but that's lame so let's figure out how many empanadas she sold
we know that x=50 so we can just plug this into either beginning equation and solve for y
50+y=90
y=40
