Answer:
The possible range of values for F are from 8 to 30
Step-by-step explanation:
Here, we have a triangle DEF and we want to get the possible lengths of the third side
To evaluate the possible lengths of the third side , we need to follow a rule
The rule is that, for the third side, the sum of the two other sides must be greater than it
This means that the length should be less than d + e
Mathematically;
f < d + e
f < 12 + 19
f < 31
So it could be 30
It could also range from 30 to 8
This is because if it is less than 8, then the addition to 12 will be less than or equal to 19
What is 9 + 10
FROM THE MEME ONLY
Answer:
21
Step-by-step explanation:
you stoopid
Answer:
9 + 10 = 37 1/2
Step-by-step explanation:
i forgor
a mail courier chsrges a base fee of $6.95 plus $9.50 Per package being delivered if X represents the number of packages delivered which of the following equations could be used to find Y the total of mailing packages
Answer:
B. y=9.50x+6.95
Step-by-step explanation:
Y equals the total cost to deliver x amount of packages.
Regardless of the number of packages shipped, you will always be charged a minimum of $6.95
Hope this helps! Please reach out to me with any questions!
a pyramid has a height of 5 inches and a volume of 60 cubic inches ?
Answer:
36 square inches.
Step-by-step explanation:
volume is given by 1 by 3, into base into height is based. His height and volume and area of the base is given by area of the ashe area of the base is given by 3 into 60 by 5. As given in the question on solving it, we get it equals to 36 square inches.
Use Appendix B.5 to locate the value of t under the following conditions. (Round your answers to 3 decimal places.)
a. The sample size is 12 and the level of confidence is 95%.
Value of t
b. The sample size is 20 and the level of confidence is 90%.
Value of t
c. The sample size is 8 and the level of confidence is 99%.
Value of t
check my workreferencesebook & resources
eBook: Compute and interpret a confidence interval for a population mean.
Worksheet Difficulty: 2 Intermediate Learning Objective: 09-02 Compute and interpret a confidence interval for a population mean.
Answer:
a) t = 2.2010
b) t = 1.7291
c) t = 3.4995.
Step-by-step explanation:
a. The sample size is 12 and the level of confidence is 95%.
12 - 1 = 11 degrees of freedom, either two-tailed test at \(\alpha = 0.975\) or one-tailed test at \(\alpha = 0.95\), so t = 2.2010.
b. The sample size is 20 and the level of confidence is 90%.
20 - 1 = 19 degrees of freedom, either two-tailed test at \(\alpha = 0.95\) or one-tailed test at \(\alpha = 0.9\), so t = 1.7291.
c. The sample size is 8 and the level of confidence is 99%.
8 - 1 = 7 degrees of freedom, either two-tailed test at \(\alpha = 0.995\) or one-tailed test at \(\alpha = 0.99\), so t = 3.4995.
Is 5x - 3y = 0 direct variation?
Answer:
Yes
Step-by-step explanation:
\(5x-3y=0 \\ \\ 3y=5x \\ \\ y=\frac{5}{3}x\).
Since the equation can be rewritten in the form y=kx, the equation represents direct variation.
Can You please help me
9514 1404 393
Answer:
S > 2
Step-by-step explanation:
In this context, "over" means "greater than." The problem statement tells you the weight (S) is greater than 2 kilograms:
S > 2
Lisa built a rectangular flower garden that is 4 meters wide and has a perimeter of 26 meters.
What is the length of Lisa's flower garden?
Given that :-
Width of garden is 4 meters Perimeter of garden is 26 metersTo Find :-
Length of rectangular garden.Solution :-
→ Perimeter = 2( Length + breadth)
→ 26 = 2 ( Length+ 4 )
→ 26/2 = Length + 4
→ 13 = Length + 4
→ Length = 13 -4
→ Length = 9 meters.
So the Length of Lisa's garden is 9 meters .
Answer:
9
Step-by-step explanation:
simplify 12 + 15 ÷ 3 × 6 – 4
in a sandwich bar 140 ham 70 eggs and 35 chicken sandwiches are sold find the ratio of ham to egg to chicken sandwiches are sold
Answer:
4:5:1
Step-by-step explanation:
so first of all the ratio will be 140:70:35 but after we simplify it with 35 we'll get the final simplified ratio which is 4:5:1
Let T denote the time in minutes for a customer service representative to respond to 10 telephone inquiries. T is uniformly distributed on the interval with endpoints 8 minutes and 12 minutes. Let R denote the average rate, in customers per minute, at which the representative responds to inquiries. What is the density function for the random variable R on the interval 10/12 <= r <= 10/8
Answer:
The answer is "\(f_{R} (r) =\frac{5}{2r^2}; \frac{10}{12} \leq r \leq \frac{10}{8}\)"
Step-by-step explanation:
They have the distributional likelihood function of T: \(f_{\Gamma } \ (t)= \frac{1}{12-8}= \frac{1}{4}; 8 \leq t \leq 12\)
This is the following PDF of transformation \(R =\frac{10}{T}\)
They know that PDF is the Y=g(X) transformation
\(f_{y} (y)=f_{x} (g^{-1} (y))|\frac{dg^{-1} (y)}{dy}\)
Using theformula, the PDF of \(R =\frac{10}{T}\) is
\(f_{R} (\Gamma)=f_{(\Gamma)} |\frac{d(\frac{10}{r})}{dr}| \\\\f_{R}(r) =\frac{1}{4}| -\frac{20}{r^2}|\\\\f_{R} (r) =\frac{5}{2r^2}; \frac{10}{12} \leq r \leq \frac{10}{8}\\\\\)
22.8 when rounded to the nearest tenth
Answer:
23
Step-by-step explanation:
At a local college, 61 of the male students are smokers and 549 are non-smokers. Of the female students, 156 are smokers and 444 are non-smokers. A male
student and a female student from the college are randomly selected for a survey. What is the probability that both are non-smokers?
Do not round your answer. (If necessary, consult a list of formulas.)
The probability of randomly selecting a male student and female student are non-smokers is 0.6771
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
Probability = (Number of possible outcomes)/(Total number of outcomes)
According to the given question:
Number of male students are smokers = 61
Number of male students are non smokers = 549
Total number of male students = 610
Number of female students are smokers = 156
Number of female students are non smokers = 444
Total number of female students = 600
Probability that both are non smokers is given by
P (non-smoker males) x P (non-smoker females)
= \(\frac{549}{610} . \frac{444}{600}\)
= 0.915 x 0.74
= 0.6771
Therefore the probability that both male and female are non-smokers is 0.6771.
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The amount of a radioactive material changes with time. The table below shows the amount of radioactive material (t) left after time t: t(hours) 0 1 2 f(t) 100 50 25 Which exponential function best represents the relationship between f(t) and t?
The exponential function that best represents the relationship between f(t) and t is \(f(t) =100(0.5)^t\)
How to determine the exponential function that best represents the relationship between f(t) and t?From the question, we have the following parameters that can be used in our computation:
t f(t)
0 100
1 50
2 25
From the above, we have the following
Initial value, a = 100
Rate, b = 50/100
Evaluate
b = 0.5
The function is represented as
\(f(t) =ab^t\)
So, we have
\(f(t) =100(0.5)^t\)
Hence, the exponential function that best represents the relationship between f(t) and t is \(f(t) =100(0.5)^t\)
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50 POINTS
What is the area of a rectangle with a length of 8.96 in and a length of 7.7?
a 68.992 in3
b 68.992 in2
Answer:
thats only 25
Step-by-step explanation:
PLEASE HELP PLEASE HELPPP
Answer:
40
Step-by-step explanation:
The LCM is forty.
PLEASE MARK AS BRAINLIEST!
Answer:
40
Step-by-step explanation:
2/5 = 16/40
1/8 = 5/40
Solve
7x = 42
x = 294
x = 35
x = 6
x = 49
Answer:49
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
7 x 6 = 42 making the answer 6 true.
It takes Naomi 4 minutes to run 5 laps. How long does it take her to run 30 laps? Use a table, double number line, tape diagram or another strategy to show your thinking.
(Please hurry I'm being timed)
Answer:
24 minutes
Step-by-step explanation:
5x6=30
4x6=24
A bag contains four chips of different colors, including red, blue, green, and yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random. Make a list of the possible outcomes (for example RB represents the outcome red chip followed by blue chip) and use your list to determine the probability that one blue chip and one yellow chip are selected.
Answer:
Check Explanation please.
Probability = 0.25.
Step-by-step explanation:
The Important thing to note here is that we have sixteen(16) different possible outcomes for this particular problem or question.
From the question above, we are given the following information or data: ''bag contains four chips of different colors, including red, blue, green, and yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random"
Hence, the sixteen (16) different possible outcomes are; RR, RB, BB, BR, RG, GR, GG, RY, YR, YY, BG, GB, BY, YB, GY, YG.
To calculate the probability we need to used the numbers of f different colors divided by the number big possible outcomes, that is; 4/16 = 0.25.
Probability that one blue chip and one yellow chip are selected is 1/8
Given that a bag contains four chips of different colors
The colors given are red , blue, green and yellow
A chip is selected at random from the bag and replaced in the bag
After that a second chip is selected at random.
In both the selections there is a equal probability of choosing any color chip at random
So for the first chip the color can be either blue , green red or yellow.
Similarly for the second chip the color of the chosen chip can be either blue , green , red or yellow
We can make set of possible outcomes for the colors of chips in the first and the second draw
The number of possible outcomes are 16 in numbers
{ RR, RB, RG, RY. BR, BB, BG, BY, GR,GB, GG, GY, YR, YB, YG, YY}
Probability that one blue chip and one yellow chip are selected is 1/8
Since there is only two such case.
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What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18, ...? a. -1 c. 3 b. -3 d. 30 Please select the best answer from the choices provided
Answer:
b. -3
Step-by-step explanation:
30 - 3 = 27
27 - 3 = 24
24 - 3 = 21....
3
a) The average rainfall of the last week was 35 mm. If the records of daily
rainfall from Sunday to Friday were 45 mm, 22 mm, 28 mm, 36 mm, 30 mm
and 24 mm, find the rainfall on Saturday.
Answer:
The rainfall on Saturday was of 60 mm.
Step-by-step explanation:
Average rainfall:
The average rainfall is given by the total rainfall divided by the number of days(7). So
If the records of daily rainfall from Sunday to Friday were 45 mm, 22 mm, 28 mm, 36 mm, 30 mm and 24 mm
On Saturday it was of x mm. So
\(35 = \frac{45 + 22 + 28 + 36 + 30 + 24 + x}{7}\)
\(185 + x = 245\)
\(x = 245 - 185\)
\(x = 60\)
The rainfall on Saturday was of 60 mm.
Please help quick !!!!!! Simplify 6(x + 4).
Answer:
6(x + 4)
opening brackets
=6x+24 is the answer
Step-by-step explanation:
In the figure below, find the exact value of x. (Do not approximate your answer.)
Triangle ADC also has a right angle at D, making it a right-angled triangle.
The exact value of x be 2.25.
What is meant by "Pythagoras Theorem"?The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.
Triangle ADB exists even a right-angled triangle with right-angle at D.
Therefore, Base of Triangle ADB = BD = 4,
Height of Triangle ADB = AD = 3,
Hypotenuse of Triangle ADB = AB
Using the Pythagoras Theorem, we get,
\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)
substitute the values in the above equation, we get
or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)
simplifying the equation, we get
or, \($(A B)^2=[9+16]$\)
or, \($(A B)^2=25$\)
or, \($\sqrt{(A B)^2}=\sqrt{25}$\)
or, AB = 25
Triangle ADC is also a right-angled triangle with right-angle at D.
Therefore, Base of Triangle ADC = DC = x
Height of Triangle ADC = AD = 3,
And, Hypotenuse of Triangle ADC = AC
Using the Pythagoras Theorem, we get,
\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)
simplifying the equation, we get
\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)
\(& \text { or },(A C)^2=\left[9+x^2\right]\)
Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,
Height of Triangle ABC = AB = 5,
And, Hypotenuse of Triangle ABC = BC = (4 + x)
Using the Pythagoras Theorem, we get,
\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)
\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)
substitute the values in the above equation, we get
\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)
simplifying the equation, we get
\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)
\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)
8x - 18 = 0
8x = 18
\(& \text { or, } x=\frac{18}{8} \\\)
\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)
\(& \text { or, } x=\frac{9}{4} \\\)
Therefore, the value of x be 2.25.
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How to calculate the square foot
Solution:
To find square feet, multiply the length measurement in feet by the width measurement in feet.
Hence, the standard formula to calculate square foot is;
\(length\times width\)Each of 6 students reported the number of movies they saw in the past year. Here is what they reported. 14, 11, 15, 19, 12, 10 Send data to calculator Find the mean number of movies that the students saw. If necessary, round your answer to the nearest tenth. movies X Ś
The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).
To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.
To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.
So, let's calculate the mean:
(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5
Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).
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What is the absolute deviation of 30 in this data set?
{26, 35, 27, 30, 22}
2
3
5
8
Using it's concept, it is found that the absolute deviation of 30 in the data set is of 2.
What is the absolute deviation of a measure?The absolute deviation of a measure is given by the absolute value of the differente between the measure and the mean.
The mean is the sum of all observations divided by the number of observations. In this data-set, it is given by:
M = (26 + 35 + 27 + 30 + 22)/5 = 28
30 - 28 = 2, hence, the absolute deviation of 30 in the data set is of 2.
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Answer:
The answer is 2
Step-by-step explanation:
I took the test
Some factors need to be controlled to keep this test fair. name two of them….
Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.
What are the control variables?The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.
For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.
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A quantity with an initial value of 920 decays continuously at a rate of 4% per second.
What is the value of the quantity after 0.8 minutes, to the nearest hundredth?
first off, the "elapsed time" unit and the "rate" unit must correspond, in this case the decay rate is 4% per second, whilst the elapsed time is in minutes, so let's change that to seconds, hmmmm there are 60 seconds in 1 minute so in 0.8 minute there are 0.8*60 = 48 seconds.
\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &920\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=\textit{elapsed time}\dotfill &48\\ \end{cases} \\\\\\ A=920(1-0.04)^{48}\implies A=920(0.96)^{48}\implies A\approx 129.66\)
Answer:
134.88
Step-by-step explanation:
Write function:
f(t)=920e r/t(exponent)
R: decays 4% > -0.04
substitute r in the function for -0.04
0.8 minutes = 48 seconds
plug In t=48
F(48)= 920e -0.04(48) <(exponents)
=134.878405159922
round to 134.88 and that’s the answer.
Question
The perimeter of a rectangle is given by P = 2L + 2W. If a rectangle has a perimeter of 26 inches and a length of 7
inches, what is its width?
Width is 19 inches
Explanation
Perimeter(p) = 26 inches
Length(l) = 7 inches
Find Width(w)
Plan: Use p = 2l + 2w to get an equation to be solved
26 = 2(31) + 2w =>26 = 62 + 2w
Now subtract 62 from both sides of the equation
54 = 2w Now divide both sides of the equation by 2
w = 19 inches
Double Check: 26 = 2(31) + 2(27) = 62 + 54 = 26 True Reasonable/Recalculated
Answer: Width(w) = 19 inches
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PLS HELP PLEASSSS ILL MARK U AS BRAIN KING THINGY WTV U CALL IT
Answer: infinitley many solutions
Step-by-step explanation:
The length of Tom’s rectangular classroom floor is 8 feet longer than 2 times the
width. The perimeter of his classroom floor is 124 feet. Write and solve an
equation to find the length of his classroom.
Answer:
Length= 44 feet
Width= 18 feet
Step-by-step explanation:
Let the length= x
Let the width = y
Length is 8 feet longer than 2 times the
width.
X= 8+2y
The perimeter of his classroom floor is 124 feet
Perimeter= 2(x+y)
124= 2x+2y
But x= 8+2y
124= 2x+2y
124= 2(8+2y) +2y
124= 16 +4y +2y
124-16= 6y
108= 6y
18 = y
Width= 18 feet
X= 8+2y
X= 8 +2(18)
X= 8+36
X= 44
Length= 44 feet