Answer:
3, 5, ,7 or 9, 5, 1
Step-by-step explanation:
Let the three terms in AP be a - d, a & a + d
where a = First term and d = Common difference.
Condition 1: sum of three terms in AP is 15.
a - d + a + a + d = 15
3a = 15
a = 15/3
a = 5
Condition 2: When first two terms are each decreased by 1 and the last is increased by 1 then new terms so obtained will be as follows:
a - d - 1, a - 1, a + d + 1
These terms are in G.P.
[tex] {(a - 1)}^{2} = (a - d - 1)(a + d + 1) \\ \\ {(5 - 1)}^{2} = (5 - d - 1)(5 + d + 1) \\ \\ {(4)}^{2} = (4 - d)(6 + d) \\ \\ 16 = 24 + 4d - 6d - {d}^{2} \\ \\ 0 = 8 - 2d - {d}^{2} \\ \\ {d}^{2} + 2d - 8 = 0 \\ \\ {d}^{2} + 4d - 2d - 8 = 0 \\ \\ d(d + 4) - 2(d + 4) = 0 \\ \\ (d + 4)(d - 2) = 0 \\ \\ d + 4 = 0 \: \: or \: \: d - 2 = 0 \\ \\ d = - 4 \: \: or \: \: d = 2 \\ \\ when \: d = - 4 \\ \\ a - d = 5 - ( - 4) = 9 \\ a = 5 \\ a + d = 5 - 4 = 1 \\ \\ when \: d = 2 \\ a - d = 5 - 2 = 3 \\ a = 5 \\ a + d = 5 + 2 = 7 \\ \\ thus \: three \: terms \: in \: AP \: are: \\9, \: 5, \: 1 \: \: or \: \: 3, \: 5, \: 7[/tex]
Help help help math math
Answer:
y=-1/2x-3
Step-by-step explanation:
Let's pick two points for slope.
[tex]\frac{-1+3}{-4-0}[/tex]
[tex]\frac{2}{-4}[/tex]
For the y-inctercept, the line intersect at the y-axis at (0,-3)
CHECK:
[tex]y=-\frac{1}{2} (-4)-3[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x ≥ 72)?
A. 0.84
B. 0.975
C. 0.025
D. 0.16
Approximately 65% of the distribution lies within one standard deviation of the mean, which is to say,
P(72 ≤ x ≤ 86) ≈ 0.65
Normal distributions are symmetric, so the percentage of values one standard deviation below the mean is equal to the percentage of values one standard deviation above the mean.
P(72 ≤ x ≤ 79) = P(79 ≤ x ≤ 86)
but since the sum of these make up P(72 ≤ x ≤ 86), we find
P(72 ≤ x ≤ 79) ≈ 0.65/2 = 0.325
Also due to symmetry, exactly half of the distribution lies to either side of the mean; namely,
P(x ≥ 79) = 0.5
It follows that
P(x ≥ 72) = P(72 ≤ x ≤ 79) + P(79 ≤ x)
P(x ≥ 72) = 0.325 + 0.5
P(x ≥ 72) = 0.825 ≈ 0.84
Answer: 0.84
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Find the height of the trapezoid.
7 m
Area = 51 m2
10 m
hlep me pls daddddddddddddddddddddddddddddddddy
Answer:
The equation would be 2(n+3)-6. So A.
Step-by-step explanation:
It is asking you to subtract first and you cannot do that without parentheses.
Answer:
First ONE
Step-by-step explanation:
First you are adding 3
n+3
then you mulitply by 2
so, its 2(n+3), you have to put in bracket because you want to do addition first
then you subtract everything by 6
its 2(n+3)-6
Use the fundamental identities to
Find tan s if sin s=3/4 and s is in quadrant 2
Answer:
Cosine Formula
Thus, the cosine of angle α in a right triangle is equal to the adjacent side's length divided by the hypotenuse. To solve cos, simply enter the length of the adjacent and hypotenuse and solve.
How can you solve problems involving percents?
Step-by-step explanation:
To solve percent problems, you can use the equation, Percent · Base = Amount, and solve for the unknown numbers. Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100.
Answer:
Base = Amount, and solve for the unknown numbers.Step-by-step explanation:
Or, you can set up the proportion, Percent = , where the percent is a ratio of a number to 100. You can then use cross multiplication to solve the proportion.
I'm giving out a lot of points for this one!
Answer:
Step-by-step explanation:
AVERAGE rate of change looks only at the endpoints
m = Δy/Δx
m = (1.2 x 10⁶ - 0.35 x 10⁶) / (2640 - 1955)
m = 0.35 x 10⁶/ 685
m = 1241 beings / year
Alistar is going to build fence around the outside of his garden
a) draw an accurate scale drawing of the garden using a ruler and compasses.use scale 1 cm to 2m
b) how long the fence be?
Answer:
32+[tex]\sqrt{200}[/tex]
Step-by-step explanation:
First - one side is 10m and other one is 16, so adding this 26m
Second-hypotenuse is sqrt of 10*10+10*10.
Third- Remainder is 16-10 because that is isosceles triangular.
Today, both the soccer team and the basketball tear
had games. The soccer team plays every 3 days and the
basketball team plays every 5 days. When will both
teams have games on the same day again?
SHOW YOUR WORK PLEASE
Answer:3 to 5
Step-by-step explanation:i took the quiz
A birthday cake was cut into equal pieces, and 10 pieces were eaten. The
fraction below shows how much cake was left over. According to the fraction,
into how many pieces was the cake cut?
1
11
A. 1
B. 10
C. 21
O D. 11
TO
24. Solve for x: 3x - 2(x - 4) = 5(2x + 4) -3
x=-1
3x-2x+8=10x+20-3
x+8=10x+17
-9x=9
x=-1
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]x-2\left(x-4\right)=5\left(2x+4\right)-3[/tex]
[tex]-2\left(x-4\right)\\\mathrm{Distribute}\\-2x+8[/tex]
[tex]3x-2x+8=5\left(2x+4\right)-3[/tex]
[tex]\mathrm{Combine\: like\: terms}[/tex]
[tex]x+8=5\left(2x+4\right)-3[/tex]
[tex]\left(2x+4\right)-3\\\mathrm{Distribute}\\10x+20-3\\10x+17[/tex]
[tex]x+8=10x+17[/tex]
[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]
[tex]x+8-8=10x+17-8[/tex]
[tex]x=10x+9[/tex]
[tex]\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}[/tex]
[tex]x-10x=10x+9-10x[/tex]
[tex]-9x=9[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-9[/tex]
[tex]\frac{-9x}{-9}=\frac{9}{-9}[/tex]
[tex]\bold{x=-1}[/tex]
Danielle earns a 7.75% commission on everything she sells at the electronics store where she works. She also earns a base salary of $800 per week. How much did she earn last week if she sold $4,700 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.
Answer:
1164.25
Step-by-step explanation:
(1) Mr. Jones finished correcting 6 out of 7 homework assignments. Miss Smith finished
correcting 83% of that week's homework assignments. Which teacher corrected a greater
percentage of her homework assignments?
Answer:
Mr. jones
Step-by-step explanation:
6/7 is 85.71% which is greater than 83%.
Use polynomial identities to multiply (5 - 4x3)(5 + 4x3). What identity did you use?
A. Difference of cubes identity
B. Difference of squares identity
C. Binomial Theorem
D. Square of a sum identity
[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] ~\dotfill\\\\ (5-4x^3)(5+4x^3)\implies [(5)^2-(4x^3)^2]\implies [(5^2)-(4^2x^{3\cdot 2})] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 25-16x^6~\hfill[/tex]
A bag contains 5 milk and 9 dark chocolates.
A sweet is selected at random.
What is the probability of choosing: P(milk)
Answer:
5/9
Step-by-step explanation:
Help help help math math
Answer:
Slope = 4
Step-by-step explanation:
Change in Y = 4
Change in X = 1
Slope = Δy/Δx = 4/1 = 4
Kelly base 3328 cookies each year she bakes twice as many cookies in October then in the other much how many cookies does Kelly back in December
What expression is equivalent to 8t-18-20t+14
Answer:2(4t-9-10t+7) is answer and for the next it 2(-6t-2)
For shipping the retailer charges a $4.95 flat fee or 5.75% of the total purchase, whichever is greater. If Lucia's total purchase is $78.99, how much shipping will she pay? PLEASE ANSWER ASAP
Image attached giving 25 points please help
Answer:
Rational
Step-by-step explanation:
It isnt whole because its a decimal,
It isnt an Integer because its a decimal
It isnt natural because its a decimal
Meaning it can only be rational
Find the value for x
(x+20) (4x-5)
Answer:
I think it x=33
Step-by-step explanation:
[tex]x+20+4x-5=180\\5x+15=180\\-15 -15\\5x = 165\\/5 /5\\x = 33[/tex]
) f(x) = 4x + 5, g(x) = 2/x;
Find (g • f)(3).
[tex]\text{Given that,}\\\\f(x) = 4x+5,~~~g(x) = \dfrac 2x\\\\\\f(3) = 4(3) +5 = 12 +5 = 17\\\\\\(g\circ f)(3)=g(f(3))=g(17)=\dfrac 2{17}[/tex]
Answer:
The answer is 2/17
Step-by-step explanation: Can I get brainliest again my answer was deletedee
Rewrite the following equation in slope-intercept form. 17x − 4y = 20
Step-by-step explanation:
-4y= -17x+20
4y=17x-20
y= 4.25x-5
Slope intercept form
y=mx+b[tex]\\ \tt\Rrightarrow 17x-4y=20[/tex]
[tex]\\ \tt\Rrightarrow 17x-20=4y[/tex]
[tex]\\ \tt\Rrightarrow y=17/4x-5[/tex]
The school counselor needs to meet with students who have more than three absences. Here is some of the data about the students. Who are the individuals in this data set?
- Students
- School counselors
- Homeroom teachers
What does this data set contain?
- 2 variables, 1 of which is quantitative
- 2 variables, 2 of which are quantitative
- 5 variables, 1 of which is quantitative
- 5 variables, 3 of which are quantitative
Answer:
The individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.
Step-by-step explanation:
Individuals are the people or things described by a data set.
Variables are characteristics of the individuals that we measure or observe.
Categorical variables take on values that are labels or categories, and quantitative variables take on numerical variables.
The individuals described by this data set are students.
The characteristics listed--homeroom teacher and absences--describe each of the students, not teachers or counselors.
One of the variables--absences--is quantitative.
The individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.
What is a dataset?A data set is a set of information. A data set corresponds to one or more database tables in the case of tabular data.
Individuals are the people or things described by a data set.Variables are characteristics of the individuals that we measure or observe.
Categorical variables take on values that are labels or categories, and quantitative variables take on numerical variables. The individuals described by this data set are students.
The characteristics listed--homeroom teacher and absences--describe each of the students, not teachers or counsellors. One of the variables--absences--is quantitative.
Therefore the individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.
To know more about datasets follow
https://brainly.com/question/251701
#SPJ2
I have a red, blue, green, and yellow ball. If I put them all in a bag and pick one ball at a time (putting it back each time), what chance do I have of never picking a red ball, assuming I pick a color 40 times. Write as a decimal/percentage. (20 points! A good answer would be appreciated)
Answer:
Step-by-step explanation:
You have four balls
A draw of blue, green or yellow (3 balls) means success for NOT drawing a red ball
You have a 3 in 4 chance of not drawing a red ball on the first draw.
With replacement, the 3 in 4 chance occurs on every draw
the odds multiply together for each draw.
Chance of not drawing a red ball in 40 tries is (3/4)⁴⁰
or about 1 in 10⁻⁵ or 0.00001
9. Given a scale factor of 3, find the coordinates for the dilation of a triangle with vertices at
(1 point)
(1 4). (4.5), and (2.0).
A 3.7). (7.8). (5.3)
B 3.4) (12,5), (6,0)
C 3.12). (12.15) (6.0)
D (112) (4.15) (2.0)
The coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).
If the coordinate (x, y) is dilated by a scale factor of k, the resulting coordinate will be at (kx, ky)Given the coordinate of the triangle (1 4). (4.5), and (2.0), if this coordinate is dilated by a factor of 3, the resulting coordinates will be at (3 12), (12.15), and (6.0).
Hence the coordinates for the dilation of a triangle is (3 12), (12.15), and (6.0).
Learn more on dilation here: https://brainly.com/question/10253650
hlep me it is easy plssssssssssssss
Answer:
C. (10 - 2) ÷ 4
Step-by-step explanation:
To determine which expression represent a number that is one fourth as great as 10-2 the following logical reasoning has to be made:
Given that a number is raised that is a quarter as large as (10-2), the result of this mathematical operation must be divided by 4.
Thus, since 10 minus 2 is equal to 8 and 8 divided by 4 gives 2, the division is necessary as a mathematical operation.
So, since the only option that raises a division is option C, that's the correct option.
in the actual room, the distance between the front and back walls is 8 feet. what is the actual length of the front wall, in feet?
Answer:
8 feet
Step-by-step explanation:
it actually will be 8 feet
A tiled floor measures 1 ⅔ by 2 ⅔ feet. What is the area of the floor?
let's firstly convert the mixed fractions to improper fractions and then multiply.
[tex]\stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}}~\hfill \stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{3}\cdot \cfrac{8}{3}\implies \cfrac{40}{9}\implies 4\frac{4}{9}[/tex]