Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
3 x 4 = 12
which figure is described below?
the locus of points in a plane equidistant between ( -1 , 4 ) and ( 3 , 4 )
Answer:
D. lineStep-by-step explanation:
Mystery Boxes: Breakout Rooms
The boxes below contain 14 numbers, listed in order, of which 6 have been removed. Your job is
to use the clues given to determine the missing numbers. Write your answers in the boxes.
• The mean is 26
• The median is 22
The interquartile range is 20
The mode is 18
. The range is 60
1
4
15
18
29
30
32
58
Answer:
[tex]\begin{array}{ccccccccccccccc}{1} & {3} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {57} & {58} & {61} \\ \end{array}[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {[ \ ]} \\ \end{array}[/tex]
Required
Fill in the box
From the question, the range is:
[tex]Range = 60[/tex]
Range is calculated as:
[tex]Range = Highest - Least[/tex]
From the box, we have:
[tex]Least = 1[/tex]
So:
[tex]60 = Highest - 1[/tex]
[tex]Highest = 60 +1[/tex]
[tex]Highest = 61[/tex]
The box, becomes:
[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]
From the question:
[tex]IQR = 20[/tex] --- interquartile range
This is calculated as:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]Q_3[/tex] is the median of the upper half while [tex]Q_1[/tex] is the median of the lower half.
So, we need to split the given boxes into two equal halves (7 each)
Lower half:
[tex]\begin{array}{ccccccc}{1} & {[ \ ]} & {4} & {[ \ ] } & {15} & {18}& {[ \ ] } \\ \end{array}[/tex]
Upper half
[tex]\begin{array}{ccccccc}{[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]
The quartile is calculated by calculating the median for each of the above halves is calculated as:
[tex]Median = \frac{N + 1}{2}th[/tex]
Where N = 7
So, we have:
[tex]Median = \frac{7 + 1}{2}th = \frac{8}{2}th = 4th[/tex]
So,
[tex]Q_3[/tex] = 4th item of the upper halves
[tex]Q_1[/tex]= 4th item of the lower halves
From the upper halves
[tex]\begin{array}{ccccccc}{[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]
We have:
[tex]Q_3 = 32[/tex]
[tex]Q_1[/tex] can not be determined from the lower halves because the 4th item is missing.
So, we make use of:
[tex]IQR = Q_3 - Q_1[/tex]
Where [tex]Q_3 = 32[/tex] and [tex]IQR = 20[/tex]
So:
[tex]20 = 32 - Q_1[/tex]
[tex]Q_1 = 32 - 20[/tex]
[tex]Q_1 = 12[/tex]
So, the lower half becomes:
Lower half:
[tex]\begin{array}{ccccccc}{1} & {[ \ ]} & {4} & {12 } & {15} & {18}& {[ \ ] } \\ \end{array}[/tex]
From this, the updated values of the box is:
[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {[ \ ] } & {[ \ ]} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]
From the question, the median is:
[tex]Median = 22[/tex] and [tex]N = 14[/tex]
To calculate the median, we make use of:
[tex]Median = \frac{N + 1}{2}th[/tex]
[tex]Median = \frac{14 + 1}{2}th[/tex]
[tex]Median = \frac{15}{2}th[/tex]
[tex]Median = 7.5th[/tex]
This means that, the median is the average of the 7th and 8th items.
The 7th and 8th items are blanks.
However, from the question; the mode is:
[tex]Mode = 18[/tex]
Since the values of the box are in increasing order and the average of 18 and 18 do not equal 22 (i.e. the median), then the 7th item is:
[tex]7th = 18[/tex]
The 8th item is calculated as thus:
[tex]Median = \frac{1}{2}(7th + 8th)[/tex]
[tex]22= \frac{1}{2}(18 + 8th)[/tex]
Multiply through by 2
[tex]44 = 18 + 8th[/tex]
[tex]8th = 44 - 18[/tex]
[tex]8th = 26[/tex]
The updated values of the box is:
[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]
From the question.
[tex]Mean = 26[/tex]
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
So, we have:
[tex]26= \frac{1 + 2nd + 4 + 12 + 15 + 18 + 18 + 26 + 29 + 30 + 32 + 12th + 58 + 61}{14}[/tex]
Collect like terms
[tex]26= \frac{ 2nd + 12th+1 + 4 + 12 + 15 + 18 + 18 + 26 + 29 + 30 + 32 + 58 + 61}{14}[/tex]
[tex]26= \frac{ 2nd + 12th+304}{14}[/tex]
Multiply through by 14
[tex]14 * 26= 2nd + 12th+304[/tex]
[tex]364= 2nd + 12th+304[/tex]
This gives:
[tex]2nd + 12th = 364 - 304[/tex]
[tex]2nd + 12th = 60[/tex]
From the updated box,
[tex]\begin{array}{ccccccccccccccc}{1} & {[ \ ]} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {[ \ ]} & {58} & {61} \\ \end{array}[/tex]
We know that:
The 2nd value can only be either 2 or 3
The 12th value can take any of the range 33 to 57
Of these values, the only possible values of 2nd and 12th that give a sum of 60 are:
[tex]2nd = 3[/tex]
[tex]12th = 57[/tex]
i.e.
[tex]2nd + 12th = 60[/tex]
[tex]3 + 57 = 60[/tex]
So, the complete box is:
[tex]\begin{array}{ccccccccccccccc}{1} & {3} & {4} & {12} & {15} & {18}& {18 } & {26} & {29} & {30} & {32} & {57} & {58} & {61} \\ \end{array}[/tex]
Gio weighed five boxes before he shipped them. The weights were: 52, 48, 48, 54, and 50 Which statement is true?
Answer:The mode is equal to the minimum
Step-by-step explanation:
Answer: The mode is equal to the minimum
Step-by-step explanation:
Q. Find the value of x.
I need help
Answer:
9
Step-by-step explanation:
$72 for 7 1/2 hours. Find the unit rate
Answer:
$9.60 for 1 hour
The unit rate is $9.60
Step-by-step explanation:
A company sells their product in Canada and the United States. They wonder if people in both countries will respond similarly to a new advertisement for the product. They show the ad to a sample of 202020 Canadians and a separate sample of 202020 Americans. Here is a summary of the responses in each sample and the results from a chi-squared test:
Chi-square test: Response vs. country
Canada US
Positive 11 5
Expected 8.0 8.0
Neutral 6 5
Expected 5.5 5.5
Negative 3 10
Expected 6.5 6.5
x = 6.110, DF = 2, P-value = 0.047
Assume that all conditions for inference were met. At the a=0.05 significance level, what is the most appropriate conclusion to draw from this test?
Answer:
This is convincing evidence that the responses differ between these countries.
Step-by-step explanation:
The data in this study came from separate samples, so a test for homogeneity is appropriate. Since the P-value is less than the significance level, we should reject the null hypothesis that the distribution of responses is the same in both countries.
The most appropriate conclusion to draw from the test is an evidence of a significant association between the country of origin and the responses to the new advertisement
What is chi squared statistic?
The chi-squared statistic (often denoted as χ^2) is a measure of the discrepancy between the observed frequencies and the expected frequencies in a categorical data set. It is commonly used in statistical hypothesis tests to assess whether there is a significant association or relationship between categorical variables.
The formula for calculating the chi-squared statistic depends on the type of data and the specific hypothesis being tested. In general, it involves computing the sum of squared differences between the observed and expected frequencies, divided by the expected frequencies.
The chi-squared statistic follows a chi-squared distribution, and its value can be compared to critical values or used to calculate a p-value to determine the statistical significance of the association.
Given data ,
Based on the given summary and the results of the chi-squared test, we can draw the following conclusion:
At the significance level of α = 0.05, we have enough evidence to reject the null hypothesis and conclude that there is a statistically significant difference in the responses to the new advertisement between Canadians and Americans.
The chi-squared statistic (x) of 6.110 with 2 degrees of freedom (DF) produces a p-value of 0.047, which is less than the significance level of 0.05.
This indicates that the observed differences in the responses between the two countries are unlikely to occur by chance alone, and there is evidence of a significant association between the country of origin and the responses to the new advertisement.
Hence , the chi-squared statistic is solved
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40% of the students in a school are boys. lf there are 240 boys, how many student are therein the school?
1. The diner sells 4 different sandwiches, 6 different drinks, and 3
different deserts. How many different orders could you place if you
decided to buy a sandwich and a desert?
2. The Downtown Theater has 1 ticket window. In how many ways can 2 people line up to buy tickets?
3. The Downtown Theater has 1 ticket window. In how many ways can 3 people line up to buy tickets?
4. The Downtown Theater has 1 ticket window. In how many ways can 4 people line up to buy tickets?
5. The Downtown Theater has 1 ticket window. In how many ways can 6 people line up to buy tickets?
Answer:
72
Step-by-step explanation:
because you got to multiply to see what you gone get.
3. A lemonade recipe calls for 1 cup each of sugar and lemon juice and 8 cups of water
Answer:
what exactly are we solving
Step-by-step explanation:
to make 20 pancakes you must use 7 eggs. How many eggs are needed to make 54 pancakes?
Answer:
18.9 eggs
Step-by-step explanation:
54÷20= 2.7
2.7 ×7=18.9
if S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.
You can try to show this by induction:
• According to the given closed form, we have [tex]S_1=3\times2^{1-1}+2(-1)^1=3-2=1[/tex], which agrees with the initial value S₁ = 1.
• Assume the closed form is correct for all n up to n = k. In particular, we assume
[tex]S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}[/tex]
and
[tex]S_k=3\times2^{k-1}+2(-1)^k[/tex]
We want to then use this assumption to show the closed form is correct for n = k + 1, or
[tex]S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}[/tex]
From the given recurrence, we know
[tex]S_{k+1}=S_k+2S_{k-1}[/tex]
so that
[tex]S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)[/tex]
[tex]S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}[/tex]
[tex]S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)[/tex]
[tex]S_{k+1}=3\times2^k-2(-1)^k[/tex]
[tex]S_{k+1}=3\times2^k+2(-1)(-1)^k[/tex]
[tex]\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}[/tex]
which is what we needed. QED
Given P = 2 (l + b) when l = 15 and P = 50,
find b
Answer:
b = 10
Step-by-step explanation:
P = 2 (l + b)
l = 15
P = 50
Substitute
50 = 2 (15 + b)
multiply
50 = 30 + 2b
subtract
20 = 2b
divide
b = 10
P = 2 (l + b) when l = 15 and P = 50
To Find:-To find b
Solution:-P = 2 (l + b) [Given]
Putting the value of P = 50 and l = 15 we get,
50 = 2(15 + b)
[tex] \frac{50}{2} [/tex] = 15 + b
25 = 15 + b
25 - 15 = b
10 = b
So, b = 10
Value of b is 10. [Answer]David used exactly 8 cups of flour to make 6 bread. How much can he make with 12 cups?
Answer:
9 Loaves of Bread
Through dividing 6(total bread) by 8(total cups) you get 3/4C per bread
So you multiply 12 by 3/4 or 0.75 to get 9
Can y’all actually answer my question instead of those linking those links cause I don’t
Know what to do on there please & thank youu :)
Answer:
no
Step-by-step explanation:
the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4 the sum of 3 and 5, divided by 4
A child has toy blocks that contain the numbers 1 through 80. What is the probability that the will pick up a number that is
not a multiple of 11?
• Give your answer in fraction form. Reduce the fraction if necessary.
Answer:
73/80
Step-by-step explanation:
multiples of 11 between 1 and 80 are 11,22,33,44,55,66,77
number of terms=7
P(multiple of 11)=7/80
P(not a multiple of 11)=1-7/80=73/80
plz help will give crown
The vertex of the function is (6, -8)
Answer: I did a screen shot of the answer
Step-by-step explanation:
A bag contains hair ribbons for a spirit rally. The bag contains 18 black ribbons and 2 green ribbons. Lila selects
a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons. What is the probability
that Lila selects a black ribbon and Jessica selects a green ribbon? Express your answer as a fraction in
simplest form
Answer:
9/95
Step-by-step explanation:
just had an exam on it
hope this helps:)
Ms. Larsen is buying 2 delivery vans for her business. The price of the first van
is shown below.
$16,257
The digit 2 in the price of the second van is 10 times the value of the digit 2 in the price of the first van. Which amount could be the price of the second van?
Answer:
18057
Step-by-step explanation:
uh just 200 x 10 = 200 add that to the 6 to make 18057$ which is the price of the second van.
A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 50 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more adult Americans does the researcher need to sample in the following cases? (a) 20% of all adult Americans support the changes (b) 25% of all adult Americans support the changes
Hence, the study would require at least 385 more adult Americans to be sampled as the degree of inaccuracy is E. (e.g., 0.05).
What is proportionality ?In mathematics, proportionality is the connection between two factors that maintains a fixed ratio called scale factor. Or, to put it another way, if one variable is increased or divided by a specific number, the second variable will also be doubled or divided by that identical number, maintaining their proportionality. Calculus, algebra, and geometry are three areas of mathematics where this idea is frequently applied.
given
(a) If 20% of adult Americans favour the suggested reforms, the sample size needed at the very least is:
n = [(zα/2)² * p * (1-p)] / E²
where z/2 is the standard normal distribution's critical value for the chosen degree of confidence (e.g., 1.96 for a 95% confidence level).
The population proportion is p. (0.2 in this case)
The degree of inaccuracy is E. (e.g., 0.05)
When we enter the values, we obtain:
n = [(1.96)² * 0.2 * (1-0.2)] / 0.05²
n = 1536.64
Thus, the study would require at least 1537 more adult Americans to be sampled.
(b) The minimal sample size needed if the proposed modifications are
supported by 25% of all adult Americans is:
n = [(zα/2)² * p * (1-p)] / E²
where:
The standard normal distribution's critical value, z/2, depends on the desired level of confidence (e.g., 1.96 for a 95% confidence level).
The population proportion is p. (0.25 in this case)
The degree of inaccuracy is E. (e.g., 0.05)
When we enter the values, we obtain:
n = [(1.96)² * 0.25 * (1-0.25)] / 0.05² \sn = 384.16
Hence, the study would require at least 385 more adult Americans to be sampled as the degree of inaccuracy is E. (e.g., 0.05).
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James bought a new DVD player with a 30% coupon. If James paid $87.00, what was the original price?
A. $113.10
B. $124.29
C. $147.90
D. $290.00
Answer:
$113.1
Step-by-step explanation:
: you add the 30% + the 87 bucks. Hope it helps friend! Please mark the brainliest. A.
A tennis ball was thrown from the top of a tall building. The height of the tennis ball above the ground can be found using the function y = -12.5x + 50, where x is the time in seconds the tennis ball has been in the air.
how many seconds did it take the tennis ball to reach the ground?
Answer:
t = 4 seconds
Step-by-step explanation:
Given that,
The height of the tennis ball above the ground can be found using the function y = -12.5x + 50
where x is the time in seconds the tennis ball has been in the air.
We need to find how many seconds did it take the tennis ball to reach the ground.
When it reaches the ground, y = 0
So,
-12.5x + 50 = 0
12.5x = 50
x = 4 seconds
So, it will take 4 seconds for the ball to reach the ground.
7 2/3 + 8 1/2 + 4 1/6 =
Answer:
20 1/3 or 61/3
Here you go, have a nice day!!
Which graph represents the inequality x ≥ 23?
Answer:
D
Step-by-step explanation: A filled bubble means that it is equal to and whichever way the arrow is point represents whether the answer is greater than or less than.
The graph representing the inequality x ≥ 23 is shown on the number line begining from 23 with a closed and shaded circle.
What is an inequality?An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
A number line can be used to represent numbers placed on regular intervals. A number line can be used to represent an inequality.
The graph representing the inequality x ≥ 23 is shown on the number line begining from 23 with a closed and shaded circle.
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Help please thank you
Answer:
In the explanation :)
Step-by-step explanation:
So if we have 1 cup of raisins, then we have 2 1/2 cups of pretzels. Since we doubled the raisins, we double the pretzels as well.
I believe this is right but I'm not sure anymore with today's math
Please help me solving part A
Answer:
Solution is at the image
Step-by-step explanation:
Someone answer this please coreectly!!
Answer:
7 and 8
Step-by-step explanation:
[tex]7^{2} =49\\\\8^{2} =64[/tex]
I’ll give brainliest answer to whoever answers first !!!
Answer:
bottom right
Step-by-step explanation:
the bottom right shows the data
120 meals to 52 meals what is the percentage change?
hurry!!
Answer:
56.67
Step-by-step explanation:
I think it is 56.67%
Answer:
The percentage change is 56.67%.
What is the measure of B ?
Answer: if you add then all up you get 75 so it could be A or D I don't know if it want the volume and the volume is 75 hope this helped
Step-by-step explanation:
pleas make brainly
