Age of each person in Kidz Zone
6
5
4
2
1
20
25
0
0 5 10 15
Number of years
In which interval is the median age?
Choose 1 answer:
0-5
5 - 10
Answers
Answer:
10-15
Step-by-step explanation:
Median is the middle of the numbers (or in this case, number sets)
The middle number set is the third.
Thus, the interval would be 10-15.
Answer: 5-10
Step-by-step explanation:
the median for 11 data points would be the sixth data point which falls into the 5 to 10 years interval
Related Questions
2.75 Cards are dealt, one at a time, from a standard 52-card deck. a If the first 2 cards are both spades, what is the probability that the next 3 cards are also spades
Answers
Answer:
The answer is "0.00842".
Step-by-step explanation:
Due to these cards, a conventional 52-card set is dealt one at a time.
While the first two cards are spades, then it would be expected that we could find the next three cards tents, too.
Let A draw 2 spade cards out of 52 cards. Let B become the occasion to draw 3 spade cards the remaining 50 end cards [tex](A \cap B)[/tex] was its case where a 52 card spade is chosen [tex](2+3)=5[/tex].
The number of plots drawn first from 13 regular 52-cerd decks equals number of,[tex]n(A)=\binom{13}{2}[/tex] probability of event [tex]A, PA =\frac{\binom{13}{2}}{\binom{52}{2}}[/tex]
Furthermore, the multitude of possibilities we can pull from of the remaining 11 spades of the previous 3 cards is 50-card decks standard, [tex]n (B) = \binom{11}{3}[/tex] then, the probability of event, [tex]B, P(B)=\frac{\binom{11}{3}}{\binom{50}{3}}[/tex]
The chances of five cards being drawn (three spades and two spades),
[tex]P(B \cap A)=\frac{\binom{13}{5}}{\binom{52}{5}}[/tex]
Then there is the chance that the next three cards will be picked if the first two are both pads, [tex]P(\frac{B}{A})[/tex]
[tex]\to P(\frac{B}{A}) \\\\ =\frac{P(B\cap A )}{P(A)}\\\\=\frac{\frac{\frac{13}{5}}{\frac{52}{2}}}{\frac{\frac{13}{2}}{\frac{52}{2}}}\\\\= 0.00842[/tex]
A sociologist studying fertility in France and Switzerland wanted to test if there was a difference in the average number of babies women in each country have. The sociologist obtained a random sample of women from each country. Here are the results of their test:
Country Sample Size n Mean SD France 100 1.85 1.3 Switzerland 100 1.65 1.2
At the alfa-.05 level of significance, is there sufficient evidence to conclude that there is a difference in the average number of babies women in each country have?
a. Yes, test statistics z- 1.13 and p-vaue is.125
b. No, Test statistics z= 1.13 and p-value is .258
c. Yes, the test statistic Z- 1.13 and p-valve is 258
d. Yes, test statistics T 1.13 and p-value is .258
Answers
Answer:
b.
Step-by-step explanation:
From the given information:
Null and alternative hypothesis is:
[tex]H_o : \mu _{france} = \mu_{switzerland} \\ \\ H_a : \mu _{france}\neq \mu_{switzerland}[/tex]
Given:
Number of babies France Switzerland
Sample size (n) 100 100
Mean 1.85 1.65
SD 1.3 1.2
The test statistics can be computed as:
[tex]Z = \dfrac{\bar x_{france} - \bar x_{switzerland}}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}}[/tex]
[tex]Z = \dfrac{1.85- 1.65}{\sqrt{\dfrac{1.3^2}{100}+\dfrac{1.2^2}{100}}}[/tex]
[tex]Z = \dfrac{0.2}{\sqrt{0.0313}}[/tex]
[tex]Z = 1.130[/tex]
degree of freedom = [tex]n_1 + n_2 -2[/tex]
= 100 + 100 -2
= 200 -2
=198
At 0.05, using the [tex]t_{dist}[/tex] table;
P-value = [tex]t_{dist} (1.130,198,2)[/tex]
P-value = 0.258
Since P-value is greater than ∝ = 0.05, We fail to reject [tex]H_o[/tex]
We conclude that there is No statistical difference at the 0.05 level. Hence [tex]\mu_{france} \neq \mu_{switzerland}[/tex]
The significance level shows that there is no sufficient evidence to conclude that there is a difference in the average number of babies as B. Test statistics z= 1.13 and p-value is 0.258
What is a significance level?It should be noted that a significance level simply means the probability that an event could have taken place by chance.
In this case, the test statistic will be:
= (1.85 - 1.65)/(✓1.3²/100 + 1.2²/100)
= 1.13
This is a two tailed test. Therefore, the p value will be:
= 2(1 - 0.87076)
= 0.258
Therefore, the p value is more than 0.05 and there's no sufficient evidence to reject the null hypothesis.
Learn more about significance level on:
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Assets Liabilities
Checking and Savings $275
Owe $415 on graduation items
Rare Baseball Cards $210 Borrowed $50 from mom
Check for work done for a neighbor $19
This is a list of Karen's assets and liabilities.
What is her net worth?
$1
$39
$275
$294
Answers
Answer:
Step-by-step explanation:
$39
The net worth should be considered as the $39.
Calculation of the net worth;We know that
Net worth = Total assets - total liabilities
here,
total assets = checking & savings + baseball card + check for work done
= $275 + $210 + $19
= $504
And, the total liabilities = owe + borrowed
= $415 + $50
= $465
So, the net worth be
= $504 - $465
= $39
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10.3.23
Question Help
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In a recreation center with 1,500 members, 200 are high school students. Of the members, 300 regularly swim. The 45 students of the high school swim team are
all members and practice at the pool every week. What is the probability that a high school member selected at random is on the swim team?
The probability is
o
(Simplify your answer.)
Answers
Answer:
The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: High school student.
Event B: Is on the swin team.
Probability of selecting a high school student:
Of the 1500 students, 200 are on high school. So
[tex]P(A) = \frac{200}{1500}[/tex]
Probability of selecting a high school student who swims:
Of the 1500 students, 45 are high school students who swim. So
[tex]P(A \cap B) = \frac{45}{1500}[/tex]
What is the probability that a high school member selected at random is on the swim team?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{45}{1500}}{\frac{200}{1500}} = \frac{45}{200} = \frac{9}{40} = 0.225[/tex]
The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]
Determine the length of CD.
Question 13 options:
A)
10.77 units
B)
3.74 units
C)
6.32 units
D)
9.17 units
Answers
Answer:
The answer is 6.32
Step-by-step explanation:
According to the Altitude Geometric Mean Theorem, the length of the altitude of a triangle is the geometric mean of the lengths of the 2 segments is divides the hypotenuse into.
CD= Altitude
CD^2= 4 times 10
or
CD= The square root of 4 times 10
Square root of 4 times 10 is 6.3245553203
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of CD is 6.32 units. The correct option is C.
What are Similar figures?Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
In ΔBDC and ΔABC, the two angles are given,
∠D = ∠C = 90°
∠B = ∠B {Common}
Therefore, the two triangles are similar triangles, thus, the ratio of the sides can be written as,
CB / AB = CD / AC = DB / CB
Now, the ratio can be solved as,
CB / AB = DB / CB
CB / 14 = 10 / CB
CB² = 14 × 10
CB = √140
Further, in triangle ABC using the Pythagorean theorem, we can write,
AB² = CB² + AC²
14² = (√140)² + AC²
196 - 140 = AC²
AC = √56
Again, using the ratio of the similar triangle, we can write,
CD / AC = DB / CB
CD / √56 = 10 / √140
CD = (√56 × 10)/√140
CD = 6.32 units
Hence, the length of CD is 6.32 units.
Learn more about Similar Figures:
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(CHILL REMINDER) I know it's difficult right now, and I know you want to give up, but now isn't the time to give up. *Everything is going to be okay, I promise.*
We are here to help you...
Join Pastel Wardrobe on Roxxxblox to enter our virtual cruise and giveaways!
Answers
Answer:
thanx for the reminder
Step-by-step explanation:
have a wonderful day :)
W varies directly with the square of n and when n = 3, W = 117. Find n when W = 637
n =
Answers
Answer:
n = 7
Step-by-step explanation:
Varies directly
w/n² = k
---------------------------
when n = 3, W = 117
k =117/3²
k = 117/9
k = 13
-------------------------
Find n when W = 637
637/n² = 13
637 /13 = n²
49 = n²
7 = n
In order to determine if there is a significant difference between campuses and pass rate, the chi-square test for association and independence should be performed. What is the expected frequency of West Campus and failed
Answers
Answer:
57.5
Step-by-step explanation:
The expected frequency of West Campus and Failed :
Let :
Failed = F
East Campus = C
West Campus = W
Passed = P
Frequency of FnW :
[(FnE) + (FnW) * (PnW) + (FnW)] / total samples
[(52 + 63) * (63 + 37)] / 200
[(115 * 100)] / 200
11500 / 200
= 57.5
n(Failed n East campus)
Answer:
57.5
Step-by-step explanation:
Got it right on the test.
please help asap!!!!
Answers
Answer:
Hello! answer: 585
Step-by-step explanation:
This polygon can be split into 6 triangles so all you have to do is find the area of 1 then multiply by 6 to get the whole things area so...
15 × 13 = 195 195 ÷ 2 = 97.5 97.5 × 6 = 585 therefore the area is 585 hope that helps you!
pls help ASAP!! person with correct answer will be marked brainliest
Answers
Answer:
41.8°
Step-by-step explanation:
Opposite angles are equal.
Answer:
41.8 degrees
Step-by-step explanation:
They are vertical angles, meaning they are the same, just opposite one another.
First person will get brainiest
Answers
Answer:
341.6
Step-by-step explanation:
This problem asks one to subtract (58.4) from (400).
400 - 58.4 = 341.6
Less than is subtraction.
Subtract 58.4 from 400
400 - 58.4 = 341.6
The answer is 341.6
In a year study found that the 7 billion people in the world 6 billion have cell phones how many people live without access for that year
Answers
Answer:
1 billion
Step-by-step explanation:
there are 7 billion people and out of that 7 billion , only 6 billion have cell phones and the remaining people don't have cellphones.
Working out:
7 -6=1
Consider the equation y=-x2 - 7x + 12. Determine whether the function has a
maximum or a minimum value. State the maximum or minimum value. What are
the domain and range of the function?
Answers
Answer:
Max (-7/2, 97/4)
Domain: all real numbers
Range: (negative infinity, 97/4)
Step-by-step explanation:
Im assuming this is a quadratic equation y = -x^2-7x+12
The max/min are the vertex (-b/2a)
In a small metropolitan area, annual losses due to storm, fire, andtheft are assumed to be independent, exponentially distributed random variableswith respective means 1.0, 1.5, 2.4. Determine the probability that the maximumof these losses exceeds 3.
Answers
Answer:
[tex]0.4138[/tex]
Step-by-step explanation:
Given
[tex]x \to storm[/tex]
[tex]\mu_x = 1.0[/tex]
[tex]y \to fire[/tex]
[tex]\mu_y = 1.5[/tex]
[tex]z \to theft[/tex]
[tex]\mu_z = 2.4[/tex]
Let the event that the above three factors is greater than 3 be represented as:
[tex]P(A > 3)[/tex]
Using complement rule, we have:
[tex]P(A > 3) = 1 - P(A \le 3)[/tex]
This gives:
[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]
-----------------------------------------------------------------------------------------------------------
The exponential distribution formula of each is:
[tex]P(x \le k) = 1 - e^{-\frac{k}{\mu}}[/tex]
So, we have:
[tex]k = 3; \mu_x = 1[/tex]
[tex]P(x \le 3) = 1 - e^{-\frac{3}{1}} = 1 - e^{-3} = 0.9502[/tex]
[tex]k=3; \mu_y = 1.5[/tex]
[tex]P(y \le 3) = 1 - e^{-\frac{3}{1.5}} = 1 - e^{-2} = 0.8647[/tex]
[tex]k = 3; \mu_z = 2.4[/tex]
[tex]P(z \le 3) = 1 - e^{-\frac{3}{2.4}} = 1 - e^{-1.25} = 0.7135[/tex]
-----------------------------------------------------------------------------------------------------------
[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]
[tex]P(A > 3) = 1 - (0.9502 * 0.8647 *0.7135)[/tex]
[tex]P(A > 3) = 1 - 0.5862[/tex]
[tex]P(A > 3) = 0.4138[/tex]
URGENT!
Find the value of x for which ABCD must be a parallelogram.
3
9
1
41
Answers
Answer and Step-by-step explanation:
To find the value of x, set the sides BC and AD equal to each other (we can do this because we are told that the figure is a parallelogram, and those sides are congruent as stated in the properties of a parallelogram).
16x - 15 = 30 + 11x
Subtract 11x from both sides of the equation.
5x - 15 = 30
Add 15 to both sides of the equation.
5x = 45
Divide both sides of the equation by 5.
x = 9
So, the answer is 9, which is equal to x.
#teamtrees #PAW (Plant And Water)
Answer:
x = 1.67
Step-by-step explanation:
We know that in a parallel, opposite sides are parallel and congruent, therefore we can solve for x, by:
(BC) = (AD)
16x - 15 = 30 - 11x
(+11x) + 16x - 15 = 30
27x - 15 = 30
27x = 45
x = 45/27
x = 1.67
Therefore, x = 1.67
Hope this helps!
Is 5+2y=13 a linear relationship
Answers
Answer:
Yes 5+2y=13 is a linear relationship
Which of the following CANNOT be true for a triangle?
A. A triangle can be equilateral and obtuse at the same time.
B. A triangle can be equilateral and equiangular at the same time.
C. A triangle can be isosceles and right at the same time.
D. A triangle can be scalene and obtuse at the same time.
Answers
Answer:
A. A triangle can be equilateral and obtuse at the same time
Step-by-step explanation:
All angles in an equilateral triangle are 60° therefore they cannot be above 90° and less than 180°
What is 17 out of 22 as a percentage?
Answers
Answer:
The answer is 77.27%
Step-by-step explanation:
Please mark brainliest!
Enjoy the rest of your day!
Answer:
77.2727.. (repeating)%
or 77 3/11 %
Although im not sure if fractions are accepted in percents, so stick to the first option
Step-by-step explanation:
A percent is simply [tex]\frac{}{100}[/tex]
How many 22's are there in 100? 100/22=4.54 repeating
So 22*4.54 repeating = 100
do the same to both sides of the equation
17 / 22
17*4.54 repeating
77.27272.../100
so 77.27272727... %
Move the values to the boxes to complete the inequality statement.
5<____<7<____<9____<11
Helppp
Answers
Answers:
first blank = not sure (see explanation below)second blank = 3*sqrt(6)third blank = 3pi============================================================
Explanation:
Use your calculator to compute 3*sqrt(6) = 7.348469 which is approximate.
We can see that 3*sqrt(6), aka 7.348469, is between 7 and 9
Do the same for 3pi to get 3pi = 9.424778 approximately. So this goes between 9 and 11
As for the first blank, between 5 and 7, it seems like an answer choice is missing. So I would ask your teacher about that. If your teacher meant it to be left blank, then just ignore it.
factorize (2u+3u)(u+v)-2u+3v
Answers
Answer:
Step-by-step explanation:
(2u+3u)(u+v)-2u+3v
=2u(u+v)+3u(u+v)-2u+3v
=2u^2+2uv+3u^2+3uv-2u+3v
=5u^2+5uv-2u+3v
solve the following equation 4 x + 10 = 66
Answers
-> 4x= 66-10
-> 4x= 56
-> x= 56/4
-> x= 14
mark me brainliestttt plsss :)))
Answer:
x = 14.
Step-by-step explanation:
4x + 10 = 66
4x + 10 - 10 = 66 - 10
4x = 56
x = 56/4 = 14.
The sum of a number and 4 is equal to -43. Find the number
Answers
Answer:
the number is -47..
Step-by-step explanation:
let the number be'x'
x+4= -43x= -43-4x= -47hope it helps.
stay safe healthy and happy.[tex]\huge\bold{Given :}[/tex]
✎ Sum of two numbers = -43
✎ One of the number = 4
[tex]\huge\bold{To\:find :}[/tex]
✿ The other number.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\blue{The \:other \:number \:is\: -47.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
❥ Let the other number be [tex]x[/tex].
❥ As per the question, we have
[tex]sum \: of \: the \: two \: numbers = - 43 \\ ⇢ x + 4 = - 43 \\ ⇢ x = - 43 - 4 \\ ⇢ x = - 47[/tex]
[tex]\sf\purple{Therefore,\:the\:other\:number\:is\:-47.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( - 47) + 4= - 43 \\➪ \: - 47 + 4 = - 43 \\ ➪ \: - 43 = - 43 \\ ➪ \: \: L. H. S. = R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Find the area of the composite figure will give extra 100 points out if answer is right and brainlyst
Answers
Answer:
Decompose the figure into two rectangles and add the areas.
Find the area of the entire rectangle and of the removed corner and subtract the areas.
Decompose the figure into three rectangles and add the areas.
Step-by-step explanation:
With all of these you can actually calculate the area of the composite figure, some of them are more easy and efficient than the other, for example dividing the composite area into three rectangles is not very efficient but will do the job, and the one where you decompose the area into two rectangles would be the best one, as well as the one where you find the area of the larger rectangle and the subtract from that the rectangle that is taken off in the right corner.
Find the values of X and Y. Show your work.
Answers
Answer:
x = 6
y = 24
Step-by-step explanation:
Recall: length of corresponding sides of similar figures are proportional to each other.
Thus:
4/12 = x/18 = 8/y
Find x:
4/12 = x/18
1/3 = x/18
Cross multiply
3x = 18
3x/3 = 18/3
x = 6
Find y:
4/12 = 8/y
1/3 = 8/y
Cross multiply
y = 8*3
y = 24
Mr. Poplin asked his students to write the following expression: "Two to the fifth power plus seven squared" Which answer choice shows this expression? A 52 - 27 B (2-5) + (7.2) © 25-74 D 2572
Answers
Answer:
B
Step-by-step explanation:
they rest The two by five and separate the square
If you role a die 60 times, how many times will i expect a 5 to roll? (based on theoretical probability)
Answers
Answer:
6
Step-by-step explanation:
someone help asapp pls
Answers
The value of the probability P(A or B) is 0.77
How to evaluate the probability?The given parameters are:
P(A) = 0.64
P(B) = 0.25
P(A and B) = 0.12
The probability is then calculated as
P(A or B) = P(A) + P(B) - P(A and B)
Substitute the known values in the above equation
P(A or B) = 0.64 + 0.25 - 0.12
Evaluate the like terms
P(A or B) = 0.77
Hence, the value of the probability P(A or B) is 0.77
Read more about probability at
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Last Question Plz Help
Answers
Answer:
this is good looking nice photo but li can't give you answer of that sorry.
Step-by-step e this https://www.commonlit.org/en/students/student_lesson_activities
Can anyone do this two question for me it’s test just have 15 minutes please do quick god bless you
Answers
Translation
Reflection
Rotation
what is the value of side EC ?
Answers
Answer:
EC = 28'
Step-by-step explanation:
Since ∆KAR ~ ∆ENC, therefore, their corresponding side lengths will be proportional to each other.
By implication, we have:
EN/KA = EC/KR
EN = 96'
KA = 24'
EC = ?
KR = 7'
Thus:
96/24 = EC/7
Cross multiply
EC*24 = 7*96
EC*24 = 672
Divide both sides by 24
EC = 672/24
EC = 28'