Answer:
Yes
The common difference is .6
Step-by-step explanation:
Take the second term and subtract the first term
-2.2 - (-2.8)
-2.2+ 2.8 = .6
Take the third term and subtract the second
-1.6 - (-2.2)
1.6 +2.2
The common difference is .6
Answer:
Yes
Step-by-step explanation:
-2.8, -2.2, -1.6, -1.0
-2.2-(-2.8)= -1.6 - (-2.2)= -1 - (-1.6)= 0.6
This is AP with first term -2.8 and common difference 0.6
A wire with a length of 100 cm is cut into three parts. The length of wire of the first and second parts are the same. The length of the third part of the wire exceeds the sum of the first two parts by 4 cm. Calculate the length of each part.
The first two pieces are the same, let each of those equal x, so you have x + x = 2x
The 3rd piece is the sum of the first two + 4, so this would be 2x + 4
Now you have 2x + 2x + 4 = 100 cm
Combine like terms:
4x +4 = 100
Subtract 4 from both sides
4x = 96
Divide both sides by 4
X = 24
First piece is 24 cm
Second piece is 24 cm
Third piece is 52 cm
Please answer this correctly
Answer:
Its absolutely cone , it has one triangle face seen from front , and a circular base
Answer:
Rectangular pyramid had a triangular face .
A home security system is designed to have a 99% reliability rate. Suppose that nine homes equipped with this system experience an attempted burglary. Find the probabilities of these events:_________.
A. At least one alarm is triggered.
B. More than seven alarms are triggered.
C. Eight or fewer alarms are triggered.
Answer:
a) [tex] P(X \geq 1) = 1-P(X<1) = 1-P(X=0)[/tex]
[tex]P(X=0)=(9C0)(0.99)^0 (1-0.99)^{9-0}=1x10^{-18}[/tex]
And replacing we got:
[tex] P(X \geq 1) =1 -1x10^{-18} \approx 1[/tex]
b) [tex]P(X=7)=(9C7)(0.99)^7 (1-0.99)^{9-7}=0.003355[/tex]
[tex]P(X=8)=(9C8)(0.99)^8 (1-0.99)^{9-8}=0.083047[/tex]
[tex]P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517[/tex]
And adding we got:
[tex] P(X \geq 7) = 0.003355+0.083047+0.913517 =0.99992[/tex]
c) [tex] P(X \leq 8) =1 -P(X>8) = 1-P(X=9)[/tex]
[tex]P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517[/tex]
And replacing we got:
[tex] P(X \leq 8)= 1-0.913517=0.086483[/tex]
Step-by-step explanation:
Let X the random variable of interest "numebr of times that an alarm is triggered", on this case we now that:
[tex]X \sim Binom(n=9, p=0.99)[/tex]
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
Part a
We want to find this probability:
[tex] P(X \geq 1) = 1-P(X<1) = 1-P(X=0)[/tex]
[tex]P(X=0)=(9C0)(0.99)^0 (1-0.99)^{9-0}=1x10^{-18}[/tex]
And replacing we got:
[tex] P(X \geq 1) =1 -1x10^{-18} \approx 1[/tex]
Part b
[tex] P(X \geq 7)= P(X=7) +P(X=8)+ P(X=9) [/tex]
[tex]P(X=7)=(9C7)(0.99)^7 (1-0.99)^{9-7}=0.003355[/tex]
[tex]P(X=8)=(9C8)(0.99)^8 (1-0.99)^{9-8}=0.083047[/tex]
[tex]P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517[/tex]
And adding we got:
[tex] P(X \geq 7) = 0.003355+0.083047+0.913517 =0.99992[/tex]
Part c
[tex] P(X \leq 8) =1 -P(X>8) = 1-P(X=9)[/tex]
[tex]P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517[/tex]
And replacing we got:
[tex] P(X \leq 8)= 1-0.913517=0.086483[/tex]
Classify the following triangle as acute, obtuse , or right
Answer:
Acute
Step-by-step explanation:
No angle is bigger than 90 degrees.
Answer:
AcuteAll angles are less than 90 degrees.
Acute = less than 90 degrees
Obtuse = more than 90 degrees
Right = 90 degrees
Hope this helps
9 is .03% of what number?
Answer:
30,000
Step-by-step explanation:
We know that divide the percentage by 100. After that you get the decimal thing then all you do is multiply the number and you get your answer that is 30,000.
Answer: 30,000
Please mark brainliest
Hope this helps.
There are five boys and 10 girls in the glee club which ratio represents the number of boys in the club to the total number of students in the club
Answer:
A. 1/3
Step-by-step explanation:
did it on edge, hope this helps :)
To find the ratio, we simply take the amount of boys and put that number first because that is what they asked for first:
5
Then we find the total amount of the students because that is what they ask for next:
5 boys + 10 girls = 15 students
Finally we take those two numbers and put them in a ratio:
5 : 15
(I had to redo my answer cause for some reason my other one was taken down.)
Diego's doctor has recommended that his daily diet should include 3 vegetables, 2 fruits, and 2 whole grains. At the grocery store, Diego has a choice of 9 vegetables, 9 fruits, and 11 whole grains. In how many ways can he get his daily requirements if he doesn't like to eat 2 servings of the same thing in 1 day
Answer:
166320 ways
Step-by-step explanation:
In this case we must calculate the number of combinations for each option, and then multiply the result of each one, like this:
Number of ways you can choose 3 vegetables out of 9 available:
nCr = n! / (r! * (n-r)!)
in this case n = 9, r = 3, replacing:
9C3 = 9! / (3! * (9-3)!) = 84
Number of ways you can choose 2 fruits out of 9 available:
9C2 = 9! / (2! * (9-2)!) = 36
Number of ways you can choose 2 whole grains out of 11 available:
11C2 = 11! / (2! * (11-2)!) = 55
So according to the rule of the products how many ways you can choose the daily diet
84*36*55 = 166320
helen rolls a dice and flips a coin calculate the probibility that she gets a 4 and tails
Answer:
1/12
Step-by-step explanation:
dice has 6 sides so the prob of getting 4 is 1/6
coin has 2 sides so the prob of getting tails is 1/2
Probability of getting both tails and a four simultaneously is = 1/2×1/6=1/12.
hope this helped!
Please mark as Brainliest!
Answer:
1/12
Step-by-step explanation:
The probability of get a 4 in a die is 1/6 because a die has the following numbers 1,2,3,4,5,6 ; we see each number occurs just once hence; 1/6 is the probability.
The probability of getting a tail is 1/2 because there are one tail and one head in a 2 side face coin.
Hence getting a tail and a four is ;
1/6 × 1/2 = 1/12
find the circumference
(3.14)(24)
Answer:
75.36unit^2
Step-by-step explanation:
Looking at the expression in the question, it is synonymous to the
equation for the circumference of a circle
π×d =3.14×24=75.36unit^2
Find the inverse of the following function.
f(t) = , for > 0
148) = , for 1 > 0
o 1-100) = , for > 0
of-13)
25, for I > 0
o 5-10
252 , for r > 0
Answer:
f(t) =, for>0
-148)=, for 1>0
0 1- 100)=,for>0
of +13)
-25,for1>0
0-5-10
-252, for r>0.
An urn contains 3 red and 7 black balls. Players and withdraw balls from the urn consecutively until a red ball is selected. Find the probability that selects the red ball. ( draws the first ball, then and so on. There is no replacement of the balls drawn.)
Correct question:
An urn contains 3 red and 7 black balls. Players A and B withdraw balls from the urn consecutively until a red ball is selected. Find the probability that A selects the red ball. (A draws the first ball, then B, and so on. There is no replacement of the balls drawn).
Answer:
The probability that A selects the red ball is 58.33 %
Step-by-step explanation:
A selects the red ball if the first red ball is drawn 1st, 3rd, 5th or 7th
1st selection: 9C2
3rd selection: 7C2
5th selection: 5C2
7th selection: 3C2
9C2 = (9!) / (7!2!) = 36
7C2 = (7!) / (5!2!) = 21
5C2 = (5!) / (3!2!) = 10
3C2 = (3!) / (2!) = 3
sum of all the possible events = 36 + 21 + 10 + 3 = 70
Total possible outcome of selecting the red ball = 10C3
10C3 = (10!) / (7!3!)
= 120
The probability that A selects the red ball is sum of all the possible events divided by the total possible outcome.
P( A selects the red ball) = 70 / 120
= 0.5833
= 58.33 %
If AB=x and x=4, then the transitive property states
1. AB+4=2x
2. X=4
3. AB+x=4
4. AB=4
Answer:
5
Step-by-step explanation:
i took the test
The transitive property states AB = 4.
What is transitive property?The transitive property of equality states that the first number is also equal to the third number if two numbers are equal and the second number is equal to the third number. In other words, if a is equal to b and b is equal to c, then a is equal to c. One of the many mathematical properties of equality is the transitive property.
Given AB = x and x = 4
Acc. to transitive property,
if a = b, b = c Then c = a.
so AB = 4
Hence option D is correct, AB = 4.
Learn more about transitive property;
https://brainly.com/question/2437149
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A phone company charges 12 cents per minute of call. If Gerardo made a call that took 75 minutes using this plan, how much did his call cost?
Answer:
900 cents, 9 dollars
Step-by-step explanation:
ill mark you as brainliest if you get this correct
Answer:
a) 72
b) 9
c) 9
d) 54
Step-by-step explanation:
a) 12 * 6 = 72
b) 3 * 6 = 18. 18 ÷ 2 = 9
c) 3 * 6 = 18. 18 ÷ 2 = 9
d) 72 - 18 = 54
SOMEBODY HELP MY FINAL GRADE DEPENDS ON IT THIS IS EASY I JUST FORGOT
Answer:
76
Step-by-step explanation:
The sum of the angles of a triangle add to 180
40+ 3x+10 + 2x+20 = 180
Combine like terms
70 + 5x = 180
Subtract 70
70+5x-70 =180-70
5x = 110
Divide by 5
5x/5 = 110/5
x = 22
We want to find BCA
BCA = 3x+10
= 3(22)+10
= 66+10
=76
Answer:
76
Step-by-step explanation:
The sum of the angles of a triangle add to 180
3x+10 + 2x+20 = 140
5x+30=140
-30 -30
5x=110
x=22
3*22=66+10=76
Kyle has decided to start doing crunches as part of his daily exercise routine and is using the bar chart below to keep track of how many he has done each day. How many crunches will he do on day 15?
Answer: 59
Step-by-step explanation:
On 15th day Kyle will do 59 crunches.
What is an Equation?An equation is a statement that consists of algebraic expressions equated with other algebraic expressions by an equal sign.
The crunches Kyle did on Day 1 are 3
The rate by which he is increasing per day is 4 crunches/per day
let t represent the number of days
Let the number of crunches on t day be y
Then the equation formed will be
y = 3 + 4(t-1)
On 15th day, he will do
y = 3+ (15-1) *4
y = 3+56
y = 59
Therefore, on 15th day Kyle will do 59 crunches.
To know more about Equation
https://brainly.com/question/10413253
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What is the common ratio of the geometric sequence below?
-2, 4, 8, 16, -32, ...
-4/2
-2/4
2/4
4/2
Answer:
-4/2
Step-by-step explanation:
just take 4 and divide it by -2 and youll get the common ratio as-2
Hope it helps
Joseph is creating a dilation through point B with a scale factor of 2. Which statements about the dilation are correct? Check all that apply. Triangle A B C. Angle B is a right angle.
Answer:
Options (1), (2) and (4).
Step-by-step explanation:
Given question is incomplete; Find the complete question in the attachment.
Triangle ABC is a right triangle.
ΔABC has been dilated by a scale factor of 2 forming ΔA'B'C'.
These are the observations,
1). A and A' will be co-linear.
2). Since the given triangle has been dilated about a point B therefore, after dilation vertex B and B' will at be same location.
3). Length of B'C' = 2BC
4). AB and BC are the segments which will lie on the sides BA' and BC'.
5). Pre-image ABC will be inside the image A'B'C'.
Therefore, Options (1), (2) and (4) will be the answer.
A B and D
i just took the quiz on edge
What is the value of y?
Answer:
d. 54
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
y=(180º-72º)/2
y=108º/2
y=54º
D.
find the least number divisible by 15,20,24,32and 36
Step-by-step explanation:
I think the first number should be 16
Then these numbers are divisible by 4
Dan got 45 out of 72 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.
Answer:
3/8
Step-by-step explanation:
45/72=5/8
(5/8)+x=72/72
x=1-(5/8)
x=3/8
The height of a saw tooth in inches after time in seconds is represented by the function y = 0.4sin (15x + 1.5) - 0.2 for t > 0. Without graphing the function, determine the maximum height that the saw tooth reaches.
Answer:
0.2 Inches
Step-by-step explanation:
Given the height of the saw tooth represented by the function
[tex]y = 0.4sin (15x + 1.5) - 0.2$ for $t > 0.[/tex]
Comparing with the general form of a trigonometric equation
[tex]y = A sin(B(x + C)) + D[/tex]
Where:
A =AmplitudePeriod =[tex]2\pi/B[/tex]C=Phase Shift D=Vertical ShiftAmplitude, A=0.4
Vertical Shift (Midline),D = - 0.2
The maximum and minimum height of the sinusoidal function is given by:
[Min, Max]=[D-A, D+A]
=[-0.2-0.4, -0.2+0.4]
=[-0.6,0,2]
The maximum height that the sawtooth reaches is 0.2 inches.
PLSSSS HELP!!! what is the slope from 0 to 1 seconds?
Answer:
Since there is no change in the height value over that time, the slope is 0
Identify which of these designs is most appropriate for the given experiment: completely randomized design, randomized block design, or matched pairs design. A drug is designed to treat insomnia. In a clinical trial of the drug, amounts of sleep each night are measured before and after subjects have been treated with the drug.
Answer:
Matched pairs design
Step-by-step explanation:
A matched pair design can be used in a case where the same people are being measured in before-and-after comparison. The same set of people are measured for the amount of sleep each night before the administration of the drugs and after the drug administration and this is used to test for a difference.
consider the quadratic equation y^2-y=6. what is the error with the solution below?
Answer:
y=-2 or y=3
Step-by-step explanation:
Y^2-y-6=0
y^2-3y+2y-6=0
y(y-3)+2(y-3)=0
(y+2)(y-3)=0
y=-2 or y=3
hope it helps
A construction company buys a bulldozer for $26,000. The company expects the useful life of the machine to be 12 years, at which time its value will have depreciated to $6000. The company uses the declining balances method for depreciation, so the annual depreciation rate r (in decimal form) is given by the formula r=1−(S/C)^1/n . In the formula, n is the useful life of the item (in years), S is the salvage value (in dollars), and C is the original cost (in dollars). What annual depreciation rate (in percent form) did the company use? Round your answer to the nearest tenth.
Answer:
11.5%
Step-by-step explanation:
Put the given numbers in the formula and do the arithmetic.
r = 1 - (6000/26000)^(1/12) = 1 -(3/13)^(1/12) ≈ 1 -0.88498 ≈ 11.5%
The company used a depreciation rate of 11.5%.
What is the range of the function?
all real numbers less than or equal to 4
all real numbers less than or equal to -3
all real numbers greater than or equal to 4
all real numbers greater than or equal to -3
10X
Answer:
1. all real numbers less than or equal to 4 = </= 4.
Answer = YES!
2. all real numbers less than or equal to -3 = </= -3.
Answer = YES!
3. all real numbers greater than or equal to 4 = >/= 4
Answer = YES!
4. all real numbers greater than or equal to -3 = >/= -3
Answer = NO!
Step-by-step explanation:
1. all real numbers less than or equal to 4 = </= 4.
1 + 1 = 2
1 + 2 = 3
2 + 2 = 4
2. all real numbers less than or equal to -3 = </= -3.
1 - 1 = 0
1 - 2 = -1
1 - 3 = -2
1 - 4 = -3
3. all real numbers greater than or equal to 4
1 + 1 = 2
1 + 2 = 3
1 + 3 = 4
1 + 4 = 5
4. all real numbers greater than or equal to -3
1 - 1 = 0
1 - 2 = -1
1 - 3 = -2
1 - 4 = -3
Answer:
The range is all real numbers less than or equal to 4
Step-by-step explanation:
took the test on edge
Which of the following choices is the length of AB if A (-3, -2) and B (5, -4)?
Answer:
8.7
Step-by-step explanation:
distance formula
Answer:
\sqrt{68}
Step-by-step explanation:
Using the distance formula, you can find that the distance between these two points is:
[tex]\sqrt{(5-(-3))^2+(-2-(-4))^2}=\\\\\sqrt{(5+3)^2(-2+4)^2}=\\\\\sqrt{8^2+2^2}=\sqrt{64+4}=\\\\\boxed{\sqrt{68}}[/tex]
This is based on the Pythagorean Theorem, since you can imagine making a right triangle between these two points and the distance between them being the hypotenuse. Hope this helps!
A coffee shop uses two different-sized bins to store coffee beans. The volume of the smaller bin is x cubic inches and the volume of the larger bin is y cubic inches. The store has S smaller bins and L larger bins. Which expressions represents the total volume of all the bins?
Answer:
Total volume of all the bins = xS + yL
Step-by-step explanation:
Given: x cubic inches represent the volume of the smaller bin and y cubic inches represents the volume of the larger bin. The store has S smaller bins and L larger bins.
To find: an expression that represents the total volume of all the bins
Solution:
The volume of the smaller bin = x cubic inches
The volume of the larger bin = y cubic inches
Also, the store has S smaller bins and L larger bins
So,
Total volume of all the bins = xS + yL
Answer:
xS plus yL
Step-by-step explanation:
Rule multiply the last number by 3 then subtract 2
2 4 10 _ _
Answer:
[tex]28[/tex], [tex]82[/tex]
Step-by-step explanation:
[tex]10 \times 3 -2=28\\28 \times 3 - 2 = 82[/tex]