Answer:
STEM ___ LEAF
1 _______0_ 7 _ 9 _ 9
2_______0 _ 4 _ 4 _ 6
3_______0 _ 2 _ 5 _ 5
Step-by-step explanation:
Given the ordered version of the data:
10, 17, 19, 19, 20, 24, 24, 26, 30, 32, 35, 35
. The stem is the tens digit and leaf is the unit digit of each data.
STEM ___ LEAF
1 _______0_ 7 _ 9 _ 9
2_______0 _ 4 _ 4 _ 6
3_______0 _ 2 _ 5 _ 5
Since there isn't any option given, then the row could be any of row values above.
If the probability that the Islanders will beat the Rangers in a game is 0.33, what is the probability that the Islanders will win at most two out of five games in a series against the Rangers? Round your answer to the nearest thousandth.
The probability is 0.7950
What is probability?
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, given that, the probability that the Islanders will beat the Rangers in a game is 0.33
Now, the probability that the Islanders will win at most two out of five games in a series against the Rangers
=P(Islanders win 0 games out of 5) + P( islanders win 1 game out of 5) + P(Islanders win 2 games out of 5)
=C(0,5)*(1-0.33)^5+C(1,5)*(0.33^1)(1-0.33)^4+C(2,5)*(0.33^2)(1-0.33)^3
=0.13501+0.33249+0.32754
=0.79504
Hence, the required probability is 0.7950
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A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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What is the solution to this system of equations?
y=1/3x+4
y=1/6x+3
ABC is a right angle triangle. Calculate the length of BC
Give your answer correct in 1 decimal place
AB= 6.7 cm
AC= 16 cm
Answer:
I don't know sorry I haven't studied this at all I am in 7th grade only so
A weather researcher compared average monthly temperature data for CapeTown, South Africa, and Luxor, Egypt.Cape TownLuxorMean63.5°F78°FRange21°F29.4°FBased on these data, which statements are true?OA. On average, Cape Town has a higher monthly temperature,However, Luxor's temperatures vary more.O B. On average, Luxor has a higher monthly temperature. However,Cape Town's temperatures vary more.C. On average, Luxor has a higher monthly temperature. Its monthlytemperatures also vary more.D. On average, Cape Town has a higher monthly temperature. Itsmonthly temperatures also vary more.
Given
average monthly temperature data for Cape Town, South Africa, and Luxor, Egypt.
Find
Which statement is true?
Explanation
As we know that mean is given by the sum of the observations divided by the number of observations.
Range is the difference between highest and lowest .
so, considering the mean and range concept , it is found that the correct option is C.
Final Answer
The correct option is C that is On average, Luxor has a higher monthly temperature. Its monthly temperatures also vary more.
Mr. Graham invested some of his $18,000 in bonds that made a 5% profit and the rest in bonds that made a 12% profit. If the profit on the 12% bonds was $885 more than the profit on the 5% bonds, how much did Mr. Graham
invest in the 5% bonds?
Answer:
$7500
Step-by-step explanation:
Let investment in 5% bond be x
(18000 - x) * 12% - x * 5% = 885
18000*12 - 12x - 5x = 88500
216000 - 88500 = 17x
x = 7500
Find the amount of money
accumulated after investing a
principle P for years t at interest
rate r, compounded continuously.
P = $15,500 r=9.5% t=12
Round your answer to the nearest cent (hundredth).
Answer:
$48,464.91
Step-by-step explanation:
consider that a company wants to run an experiment to see which of four advertisements is most effective for a new product presented with five distinct price points. people are randomly assigned to see one of the four advertisements and one of the five price points. how many factors are part of this design?
There are two factors.
The design described in this scenario has two factors: advertisement and price point. Each factor has multiple levels: there are four advertisements and five price points.
In experimental design terminology, a factor is an independent variable that is manipulated by the experimenter, and a level is a specific value or category of that factor. The goal of the experiment is to determine how each factor and its levels affect the response variable (e.g., the number of product purchases).
Therefore, in this experiment, the factor of advertisement has four levels (the four advertisements) and the factor of price point has five levels (the five distinct price points). Overall, there are two factors (advertisement and price point)
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Simplify the equation by combining the like terms:
5x+3m+4x
Answer: 9x + 3m
Step-by-step explanation:
5x + 3m + 4x
=> 9x + 3m
Answer:
5x + 4x = 9x so 9x + 3m would be your expression
Which of the following questions describes the equation g + (-4) = -5?
What number, when subtracted from negative five, is equal to negative four?
What number, when added to negative five, is equal to negative four?
What number, when added to negative four, is equal to negative five?
What number, when subtracted from negative four, is equal to negative five?
Answer: What number, when added to negative four is equal to negative five.
Step-by-step explanation:
Rearange the numbers to get -4+g=-5.
This eqation now reads -4 plus a number g is equal to -5, and can also be read as what number (g) added to -4 = -5.
If we were to solve for g we would get g= -1.
Answer:
the third option, "what number, when added to negative four, is equal to negative five?"
Explanation:
"what number, when added to negative four, is equal to negative five?" can be expressed as g + (- 4) = - 5, which is the same as in the equation.
i hope this helps! :D comment if you need any clarification.
There are 5 positions available in the new school. Of the applicant, 12 are men and 8 are women. In how many ways can 3 men and 2 women be chosen if they are equally considered?
There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
What is the multiplication principle of countingThe multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.
To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).
where n is the total number of men and r is the number of men chosen
so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.
Similarly, we evaluate the number of ways to choose 2 women from the 8 women
as = ⁸C₂ = 14
Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.
220 x 14 = 3080
Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
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Which expression is equivalent to the given expression? (+2+6)-(- 2+3) x +9 O A I O B. - } +3 O C. x+3 OD. - *+9
Answer:
The equivalent expression is;
\(\frac{5}{7}x+3\)Explanation:
We want to simplify the expression;
\((\frac{1}{7}x+6)-(-\frac{4}{7}x+3)\)we will first multiply the negative by every term in the bracket, then simplify by collecting the like terms.
\(\begin{gathered} \frac{1}{7}x+6-(-\frac{4}{7}x)-(+3) \\ \frac{1}{7}x+6+\frac{4}{7}x-3 \\ \text{collecting the like terms we have;} \\ \frac{1}{7}x+\frac{4}{7}x+6-3 \\ \frac{5}{7}x+3 \end{gathered}\)Therefore, the equivalent expression is;
\(\frac{5}{7}x+3\)The clown also bought 3 bags of heart-shaped balloons with 14 balloons in each bag. When the clown blew up all of the round, long, and heart-shaped balloons, 23 balloons burst. How many blown-up balloons were left? Explain your answer. blown-up balloons were left. First, I found the number of heart-shaped balloons, 3 × = . Next, I added that number to the number of round balloons and long balloons, + 144 + 108 = balloons in all. Last, I subtracted the number of burst balloons, so − 23 = balloons left.
Answer:
Part 1: Number of extra round balloons that long balloons = 12 balloons
Part 2 : Leftover blown-up balloons = 247 balloons
Note: The question is incomplete. The complete question is given below:
A clown bought 5 bags of round balloons with 24 balloons in each bag. the clown also bought 3 bags of long balloons with 36 balloons in each bag.
Part 1
How many more round balloons than long balloons did the clown buy?
Part 2 out of 2
The clown also bought 3 bags of heart-shaped balloons with 14 balloons in each bag. when the clown blew up all of the round, long, and heart-shaped balloons, 23 balloons burst. How many blown-up balloons were left? explain your answer.
Step-by-step explanation:
Step 1 : Finding the total number of each balloon
Round balloon = 5 × 24 = 120 balloons
Long balloons = 3 × 36 = 108 balloons
Heart-shaped balloons = 3 × 14 = 42 balloons.
Part 1:
Number of extra round balloons that long balloons = 120 - 108
Number of extra round balloons that long balloons = 12 balloons
Part 2:
Total number of balloons = 120 + 108 + 42 = 270 balloons.
Number of burst balloons = 23
Leftover blown-up balloons = 270 - 23 Leftover blown-up balloons = 247 balloons
There were 19 students running in a race. How many different arrangements of first, second, and third place are possible?
There are 5,814 different arrangements of first, second, and third place possible among 19 students.
We have,
To find the number of different arrangements of first, second, and third place among 19 students, we can use the permutation formula:
P(n, r) = n! / (n - r)!
where n is the total number of objects and r is the number of objects we want to arrange in a specific order.
In this case, we want to arrange 3 students (first, second, and third place) out of a total of 19, so we can write:
P(19, 3) = 19! / (19 - 3)!
= 19! / 16!
= 19 x 18 x 17
= 5,814
Therefore,
There are 5,814 different arrangements of first, second, and third place possible among 19 students.
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Find the area of the sas triangle with side lengths 29 and 36 and included angle 62 degrees.
The area of triangle is 460.89 unit square.
Given:
lengths of rod, a = 29 and b = 36 ,
angle between them (θ) = 62
We know that in a general triangle of side a,b,c and angles A,B,C ,
we can write area of triangle (Δ) is
Δ = absinθ/2
Δ = 29*36sin62/2
Δ = 460.89 unit square.
hence, the area of triangle is 460.89 unit square.
#123
The area of the SAS triangle is 460.89 cm³.
Given data;
Side length (a) = 29
Side length (b) = 36
With an angle of Ф = 62°
Here, it is stated that the triangle is a SAS triangle which is known as the Side Angle Side triangle.
Now, to calculate the area of a given triangle, we use the formula as;
Area = a*b*sinФ/2
From the above formula;
Area of the SAS triangle = a*b*sinФ/2
= [29*36*sin(62°)]/2
= 460.89 cm³
Hence, the area of the SAS triangle is 460.89 cm³.
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URGENT!!!! HELP PLEASE!!!
Please help! (Will give brainliest answer and hearts) Thank you and have a nice day!
Answer:
C
Step-by-step explanation:
if you add hiphop and rock together you get 60.
Emily, Andrew, and Isaiah had a challenge to see who could bike the farthest in one day. Emily biked 13 miles, Andrew biked 4 times as many miles as Isaiah and Isaiah biked 4 times as many miles as Emily. How many miles did Andrew bike?
Answer:
Andrew biked 208 miles.
Andrew biked 208 miles.
What is Multiplication?Multiplication in mathematics is the method of finding the product of two numbers. It is usually denoted by a × b.
For two numbers a and b, a × b is defined as either 'a' is added repeatedly upto 'b' times or 'b' is added repeatedly upto 'a' times.
Given that,
Number of miles Emily biked = 13 miles
Number of miles Isaiah biked = 4 times as many miles as Emily
= 4 × 13
= 52 miles
Number of miles Andrew biked = 4 times as many miles as Isaiah
= 4 × 52
= 208 miles
Hence, Andrew biked the farthest which is equal to 208 miles.
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The radius of a circle is 5 kilometers. What is the angle measure of an arc 3 kilometers long?
Show work on this smart people
Answer:
10 units
Step-by-step explanation:
LMNO is a square.
All sides of square are equal
MN = LM
3x + 1 = x + 7
3x - x = 7 - 1
2x = 6
x = 6/2
x = 3
LM = x + 7 = 3 + 7 = 10
LM = 10 units
How many solutions does this system have?
y = 7 – 4x
y = -2(2x + 4)
A. Infinitely many
B.1
C.2
D. No solution
Will give brainliest.
Answer:
D
Step-by-step explanation:
Solving this algebraically causes the x terms to cancel out so you cannot solve for x.
Graphically, the lines never intersect meaning that there are no real solutions.
please help!!!! D:
(word problem grade 7-8)
Answer:
1
Step-by-step explanation:
To solve this, first, take 22 minutes and divide it by 60 minutes, which is the number of minutes in an hour. Then, add two to the value, and multiply it by six square meters per hour, which is the rate that David can paint the wall. From there, you get 14.2 square meters which he painted in 2 hours and 22 minutes. Divide 14.2 square meters by the length of 11 meters to get 1.290 meters. Since they asked you to round to the nearest meter, you get 1 meter.
hii pls help i’ll give you brainliest if you give a correct answer.
Answer:
19.375
Step-by-step explanation:
Answer:
Answer 1 is He is taller by 19.375 inches and question 2 answer is 8.808 kilometres left .
Step-by-step explanation:
help me solve this please
Answer:
= -1 \(\frac{1}{5}\)
Step-by-step explanation:
slope = rise/run
= (y2-y1)/(x2-x1)
We have 2 points:
(-2,4) and (3,-2)
Plug them in and solve
=(4 - -2)/ (-2-3)
= 6/-5
= - 1 1/5
= -1 \(\frac{1}{5}\)
how to find vertical asymptotes of a rational function
To find the vertical asymptotes of a rational function, we need to set the denominator equal to zero and solve for x.
To find the vertical asymptotes of a rational function, you need to determine the values of x that make the denominator of the function equal to zero.
Let's check the limit of our example function as x approaches each of the vertical asymptotes:
As x approaches 1 from the left side: f(x) approaches negative infinity
As x approaches 1 from the right side: f(x) approaches positive infinity
Therefore, x = 1 is a valid vertical asymptote.
As x approaches 3 from the left side: f(x) approaches positive infinity
As x approaches 3 from the right side: f(x) approaches negative infinity
Therefore, x = 3 is also a valid vertical asymptote.
The values of x that make the denominator zero are the vertical asymptotes of the function.
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Can any one answer this correctly?
Answer:
A
Step-by-step explanation:
The Y-intercept is -3.
The gradient is -3/4 since it goes down 3 every 4 tiles.
Answer:
\(y=-\frac{3}{4}x -3\)
Step-by-step explanation:
Hey there!
We can form this equation in slope-intercept form
This means, we have to find the slope and the y intercept of the line
First lets find the slope
The equation for slope is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
In order to find y and x, we need to take two points on the line
(-4, 0) and (0, -3)
x1 y1 x2 y2
Plug it in:
\(\frac{-3-0}{0-(-4)} \\\\\frac{-3}{4} \\\\-\frac{3}{4}\)
This means, the slope is -3/4
Now we have to find the y-intercept
The y-intercept is where the line intercepts the y-axis
The line intercepts the y-axis at the point (0, -3)
So now that we have the slope and the y-intercept, we can form the equation
\(y=-\frac{3}{4}x-3\)
express the confidence interval ( 149.2 , 206.4 ) in the form of ¯ x ± m e
The confidence interval (149.2, 206.4) can be written as ¯x ± me, where ¯x = 177.8 and me = 28.6. The sample mean (¯x) is the midpoint of the confidence interval
To express the confidence interval (149.2, 206.4) in the form of ¯x ± me, we need to calculate the sample mean (¯x) and the margin of error (me).
The sample mean (¯x) is the midpoint of the confidence interval and can be calculated by taking the average of the upper and lower bounds of the interval:
¯x = (149.2 + 206.4) / 2 = 177.8
Next, we calculate the margin of error (me) by finding the half-width of the confidence interval:
me = (206.4 - 149.2) / 2 = 28.6
Therefore, the confidence interval (149.2, 206.4) can be expressed in the form of ¯x ± me as:
¯x ± me = 177.8 ± 28.6
Hence, the confidence interval (149.2, 206.4) can be written as ¯x ± me, where ¯x = 177.8 and me = 28.6.
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What is a z-statistic?
The standardized statistic; a measurement of how many standard deviations from the mean the observed statistic is on the null distribution
The z-statistic is a valuable tool in statistical analysis to evaluate the significance of a sample statistic in relation to its null distribution.
The z-statistic definitionA z-statistic, also known as a standardized statistic, is a measurement used in hypothesis testing to determine how many standard deviations an observed statistic is from the mean of the null distribution.
This value helps in understanding how likely an observed result is under the null hypothesis.
By comparing the z-statistic to a critical value, one can determine if the observed statistic is significantly different from the null hypothesis expectation.
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Given that one standard deviation below the mean is 24 and one standard deviation above the mean is 31, what is the mean l?
A)55
B)34
C)27.5
D)28
Answer:
C. 27.5
Step-by-step explanation:
since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.
we would first subtract the two values
31-24 = 7we would then divide that number by 2 since we are finding the average between the two numbers
7/2 = 3.5using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)
24+3.5 = 27.531-3.5 = 27.5since both calculated numbers were equal, we know that we calculated the mean correctly.
what is 1/10 of 8,000
Answer:
800
Step-by-step explanation: