Please help, screenshot!
Answer:
4/7
Step-by-step explanation:
class total = 21
chance of picking one of 12 boys out of 21.
12/21 which can be simpilfied to 4/7
A submarine hovers at 66 and two-thirds yards below sea level. If it ascends 24 and StartFraction 1 over 8 EndFraction yards and then descends 78 and three-fourths yards, what is the submarine’s new position, in yards, with respect to sea level?
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plsssssssssssssssss
Does the series converge or diverge? if it converges, what is the sum? SHOW YOUR WORK!!!!!!
equation is in picture.
=============================================
Reason:
This is a geometric series with
a = -4 = first termr = -1/3 = common ratioThe template is [tex]a(r)^{n-1}[/tex]
If -1 < r < 1, then the infinite geometric series converges to a finite number. This is because we add on smaller and smaller pieces, which prevents the sum going off to infinity.
In the case of r = -1/3, it fits the interval -1 < r < 1. In other words -1 < -1/3 < 1 is true.
We'll plug those values into the formula below to wrap things up.
[tex]S = \frac{a}{1-r}\\\\S = \frac{-4}{1-(-1/3)}\\\\S = \frac{-4}{1+1/3}\\\\S = \frac{-4}{3/3+1/3}\\\\[/tex]
[tex]S = \frac{-4}{4/3}\\\\S = -4 \div \frac{4}{3}\\\\S = \frac{-4}{1} \times \frac{3}{4}\\\\S = \frac{-4*3}{1*4}\\\\S = -3\\\\[/tex]
Therefore,
[tex]\displaystyle \sum_{n=1}^{\infty} -4\left(-\frac{1}{3}\right)^{n-1} = -3[/tex]
The final answer is -3.
You can verify the answer by generating partial sums with a spreadsheet. The partial sums should steadily get closer to -3.
Here's a few partial sums.
[tex]\begin{array}{|c|c|c|} \cline{1-3}\text{n} & \text{a}_{\text{n}} & \text{S}_{\text{n}}\\\cline{1-3}1 & -4 & -4\\\cline{1-3}2 & 1.333333 & -2.666667\\\cline{1-3}3 & -0.444444 & -3.111111\\\cline{1-3}4 & 0.148148 & -2.962963\\\cline{1-3}5 & -0.049383 & -3.012346\\\cline{1-3}6 & 0.016461 & -2.995885\\\cline{1-3}7 & -0.005487 & -3.001372\\\cline{1-3}8 & 0.001829 & -2.999543\\\cline{1-3}9 & -0.00061 & -3.000153\\\cline{1-3}10 & 0.000203 & -2.99995\\\cline{1-3}\end{array}[/tex]
The interesting thing is that the partial sums [tex]S_n[/tex] bounce around -3 while also getting closer to it.
multiply and simplify is possible (2x+4)(x-2)
SHOW YOUR WORK PLEASE!!!
Answer:
2x^2-8
Step-by-step explanation:
(2x+4)(x-2)
2x(x-2)+4(x-2
2x^2-4x+4(x-2)
2x^2-4x+4x-8
2x^2-8
2x^2-8
Answer:
2x^2 - 8
Step-by-step explanation:
You have to take one of the equations and distribute it to the other equation. I'll distribute the 1st equation.
(2x+4)(x-2)
2x times x = 2x^2
2x times -2 = -4x
4 times x = 4x
4 times -2 = -8
So you get 2x^2 - 4x + 4x - 8.
- 4x + 4x cancel out each other
So your final answer is 2x^2 - 8
Without using a calculator, convert the fraction to a decimal.
2/4=?
To convert the fraction 2/4 to a decimal, we can perform the division 2 divided by 4 using long division or mental math.
2 ÷ 4 = 0.5
Therefore, 2/4 as a decimal is 0.5.
Select all shapes below that are nets of a pentagonal-based pyramid.
Answer:
A and B
Step-by-step explanation:
I took some paper and cut it to the shapes and folded them to see which ones are the answer and got those 2. :3
A chemist wants to dilute a 30% phosphoric acid solution to a 15% solution. He needs 10 liters of the 15% solution. How many liters of the 30% solution and water must the chemist use?
The chemist needs to use 5 liters of the 30% solution and 5 liters of water.
Answer:
30% solution x liters
30%(water) 10-x liters
15% 10 liters
Step-by-step explanation:
Surface Area Gift Wrapping Drag and Drop Activity What is the answer for 2,5,6, & seven? I need it quick please !!
In this Drag and Drop Activity Answer 2nd is 162 [tex]in^{2}[/tex], Answer 5th is 384 [tex]in^{2}[/tex], Answer 6th is 1392 [tex]in^{2}[/tex] , Answer 7th is 1 roll.
2) In the 2nd figure, we have 5 faces as two equal Right angle Triangles (on two opposite faces) and three rectangles(on three sides of triangles)
Dimensions of both Right Angle Triangle:
Perpendicular = 9in
Base = 12 in ;
Dimensions of Rectangles:
Rectangle 1 : L1 = 15 in
B1 = 3 in
Rectangle 2: L2 = 9 in
B2 = 3 in
Rectangle 3: L3 = 12 in
B3 = 3 in
Area of 2nd figure = Sum of the area of its 5 faces
= Area of two Right angle Triangles + Area of Rectangle 1 + Area of rectangle 2 + Area of Rectangle 3
= [tex]\frac{1}{2}[/tex] * perpendicular * Base + L1*B1 + L2*B2 + L3*B3 ...................... (Formulas for particular Figures)
= [tex]\frac{1}{2}[/tex]* 9*12 + 15*3 + 9*3 + 12*3 [tex]in^{2}[/tex]
= 54+ 45+ 27 + 36 [tex]in^{2}[/tex]
=162 [tex]in^{2}[/tex]
Area of 2nd figure = 162 [tex]in^{2}[/tex]
5) In the 5th figure, we have a cube with all sides equals to 8in. Cube has 6 faces.
The area of the figure is = [tex]6(side)^{2}[/tex]
= [tex]6(8)^{2}[/tex][tex]in^{2}[/tex]
=384 [tex]in^{2}[/tex]
Area of 5th figure = 384 [tex]in^{2}[/tex]
6) Total Amount of wrapping paper needed is the sum of the Area of all Figures
= 364 + 162 + 290 + 192+ 384 [tex]in^{2}[/tex]
= 1392 [tex]in^{2}[/tex]
The total amount of wrapping paper needed is = 1392 [tex]in^{2}[/tex]
7) One Roll of wrapping paper with measurements 30 in and 60 in has an Area
= 30*60 [tex]in^{2}[/tex]
= 1800 [tex]in^{2}[/tex]
As we need only 1392 [tex]in^{2}[/tex] of wrapping paper which is less than one roll of wrapping paper so only 1 roll is required
hence, In this Drag and Drop Activity Answer 2nd is 162 [tex]in^{2}[/tex], Answer 5th is 384 [tex]in^{2}[/tex], Answer 6th is 1392 [tex]in^{2}[/tex] , Answer 7th is 1 roll.
To learn more about Area of Rectangle
https://brainly.com/question/2607596
HELP WILL MARK BRAINIEST
What is the median for the set of data?
71
70
72
74
Answer:
Step-by-step explanation:
To find the median, we need to arrange the data in ascending order:
70, 71, 72, 74
Since the data set has an even number of values, the median is the average of the two middle values. In this case, the two middle values are 71 and 72. Therefore, the median is:
(71 + 72) / 2 = 143 / 2 = 71.5
So, the median for the given set of data is 71.5.
15 points to whoever gets this right <3
Answer:
77.5
Step-by-step explanation:
Given:
Scores: 65, 70, 75, 80, 85, 90, 95
Number of Students: 8, 5, 3, 6, 6, 4, 2
Step 1: Calculate the sum
Sum = (65 * 8) + (70 * 5) + (75 * 3) + (80 * 6) + (85 * 6) + (90 * 4) + (95 * 2)
= 520 + 350 + 225 + 480 + 510 + 360 + 190
= 2635
Step 2: Calculate the mean
Mean = Sum / Total Number of Students
= 2635 / (8 + 5 + 3 + 6 + 6 + 4 + 2)
= 2635 / 34
≈ 77.5
Answer:77.5
Step-by-step explanation:
Fastest answer gets brainliest answer!
Leon is scuba diving at an elevation of −72
feet when his friend signals to come higher to see a sea turtle. Leon makes 3 ascents, each an equal distance, to reach an elevation of −18
feet, where the sea turtle is located.
What was Leon's elevation after his second ascent?
Answer: -36 feet
Step-by-step explanation:
72-18 = 54 feet ascended
54 feet / 3 ascents = 18 feet per ascent
18 feet * 2 ascents = 36 feet
-72+ 36 = -36 feet
Please help! I have a screenshot.
-Brainlist to correct answer-
Answer:
B and C
Step-by-step explanation:
The theoretical probability is 3% greater, and 5/12
Sanderson is having trouble with his assignment. His shown work is as follows:− 8/9 div 9/8 = − 89 × 98 = − 72/72 = −1 v\However, his answer does not match the answer that his teacher gives him.
Complete the description of Sanderson's mistake. Find the correct answer.
He forgot to multiply by the
(select)
, and instead just multiplied by the
(select)
that was in the denominator. The answer should look like this:
− 8/9 div 9/8 = - 8/9 × 8/9 =
need this for final exams
Answer:
He forgot to flip the second fraction.
Step-by-step explanation:
He has:
−8/9 ÷ 9/8 = −8/9 × 9/8 = −72/72 = −1
He made a mistake. When you change a division to a multiplication, you must use the reciprocal of the second fraction. You have to flipt the second fraction. He did not flip it.
This is correct:
−8/9 ÷ 9/8 = −8/9 × 8/9 = −64/81
Please help! if it’s correct i will mark as brainliest
Answer:
mode
Step-by-step explanation:
the mode is 60-69
it has the most frequency
Answer:
(c) number of data points
(d) mode interval
Step-by-step explanation:
You want to know which descriptive statistics can be determined from the given histogram.
MedianThe median is the middle data value. Here, the numbers of data points in each interval are 6, 9, 8, 6, 4, for a total of 33 data points. The middle one is point 17, which is found in the interval 70–79. We cannot determine the median value any closer than that.
The median cannot be determined from the histogram.
ModeThe mode is the value that occurs most often. Since data is grouped, we have no idea what value may occur most often. We can say the interval with the most data points is 60–69, which means we can determine the mode interval, but not the mode.
The mode cannot be determined from the histogram.
Number of data pointsAs we have noted above, the number of data points is 33.
The number of data points can be determined from the histogram, choice C.
Mode intervalAs we have noted above, the interval with the most data points is 60–69. The mode interval can be determined from the histogram, choice D.
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HELP ASAP!! A student is painting a brick for his teacher to use as a doorstop in the classroom. He is only painting the front of the brick. The vertices of the face are (−4, 2), (−4, −11), (4, 2), and (4, −11). What is the area, in square inches, of the painted face of the brick?
A. 42 in2
B. 52 in2
C. 104 in2
D. 128 in2
Answer:
104in2
Step-by-step explanation:
The area, in square inches, of the painted face of the brick is Option C 104 [tex]in^{2}[/tex].
Using the Quadrant system of the Number line
B (-4,2) lies in the 2nd quadrant.
C (-4,-11) lies in the 3rd quadrant
A (4,2) lies in the 1st quadrant
D (4,-11) lies in the 4th quadrant
Length of Side AB= Length of Side CD= Distance between x coordinate of A & B OR Between C & D i.e. 8 in
Length of Side BC= Length of side AD= Distance between y coordinate of A & D OR Between B & C i.e. 13 in
Area of the Square ABCD= (length of Side AB or CD) X (Length of Side BC or AD)
= (8 x 13) [tex]in^{2}[/tex]
= 104 [tex]in^{2}[/tex]
Thus, Area of square is 104 [tex]in^{2}[/tex].
To learn more about area: https://brainly.com/question/25292087
15 points to whoever gets this right:)
the sum of the reciprocals of two consecutive even intergers is 9/40 this can be represented bby the equation shown 1/x+1/x+2=9/40 use the rational equation to determine the integers
SHOW YOUR WORK PLEASE!!!!!!!
Answer:
In explanation
Step-by-step explanation:
To solve the rational equation 1/x + 1/(x + 2) = 9/40, we can start by finding a common denominator and then simplifying the equation. The common denominator for the two fractions is (x)(x + 2). Multiplying each term by this common denominator, we get:
[(x + 2) + x] / (x)(x + 2) = 9/40
Simplifying the numerator, we have:
(2x + 2) / (x)(x + 2) = 9/40
Now, we can cross-multiply to eliminate the denominators:
40(2x + 2) = 9(x)(x + 2)
Expanding both sides, we have:
80x + 80 = 9x^2 + 18x
Rearranging the equation and setting it equal to zero:
9x^2 - 62x - 80 = 0
Now, we can factor the quadratic equation:
(9x + 10)(x - 8) = 0
Setting each factor equal to zero, we have:
9x + 10 = 0 or x - 8 = 0
Solving for x in each case:
9x = -10 or x = 8
Dividing both sides of the first equation by 9, we find:
x = -10/9 or x = 8
Since we are looking for even integers, we can disregard the negative solution. Therefore, the value of x is 8.
Hence, the two consecutive even integers can be represented by x and x + 2, which gives us 8 and 10. So, the integers are 8 and 10.
Can someone help me pls
A data set is displayed using a dot plot. The range of the data is between 50 and 90, and the distribution is skewed left. Which measure of center, the mean or median, is probably a better representation of the data? Explain your reasoning.
HELP PLEASE!!!!
Which of the following statements are true about the data set represented by this box plot? Select all that apply.
The interquartile range is 26.
The maximum value is 44.
The range is 50.
The median is 25.
Answer:
i'd go with 25 and 44
Step-by-step explanation:
What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer.
Negative 2 and one-half minus (negative 1 and three-fourths)
A number line going from negative 3 to 0 in increments of One-fourth.
The difference of the given fraction is Negative three-fourths.
Sum and difference of fractionsGiven the following fraction difference as shown:
[tex]\sf -2 \dfrac{1}{2} - \huge \text(-1 \dfrac{3}{4} \huge \text)[/tex]
Convert to improper fraction
[tex]\sf -\dfrac{5}{2} + \dfrac{7}{4}[/tex]
Find the LCM
[tex]\sf 2(-5)+\dfrac{7}{4}[/tex]
[tex]\sf -10+\dfrac{7}{4}[/tex]
[tex]\sf -\dfrac{3}{4}[/tex]
Hence, the difference of the given fraction is Negative three-fourths.
Learn more on fraction difference at: https://brainly.com/question/30489902
Please help! -screenshot-