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Explanation
Consider three scenarios:
A) The value of x is the smallest of the set (aka the min)B) The value of x is the largest of the set (aka the max)C) The value of x is neither the min, nor the max. So 8 < x < 39.These scenarios cover all the possible cases of what x could be. It's either the min, the max, or somewhere in between the min and max.
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We'll start with scenario A.
If x is the min, then that must mean 39 is the max as it's the largest of the set {18, 36, 16, 39, 27, 8, 34}
The range is 56, so,
range = max - min
56 = 39 - x
56+x= 39
x = 39-56
x = -17 which is one possible answer
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If instead we go with scenario B, then x is the max and 8 is the min
range = max - min
56 = x - 8
56+8 = x
64 = x
x = 64 is the other possible answer
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Lastly, let's consider scenario C. If x is not the min or the max, then it's somewhere between the min 8 and max 39. in short, 8 < x < 39.
Note that range = max - min = 39-8 = 31 which is not the range of 56 that we want. So there's no way scenario C can be possible here.
PLEASE HELP
A bag hes 10 red marbles, 3 green marbles,
7 yelow marbles, and 5 blue merbles. What is
the probability of crowing a red marble and
then g, blue, marble without replacing the first?
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Probability is the chance of an event happening. One finds the probability of an event by using the following general formula,
[tex]\frac{desired}{total}[/tex]
In this case, the desired outcome is pulling whether a red or blue marble from the bag, the desired equals the sum of the number of red and blue marbles.
(red) + (blue)
= 10 + 5
= 15
The total number of marbles is the sum of all the number of marbles in the bag.
(red) + green) + (yellow) + (blue)
= 10 + 3 + 7 + 5
= 25
Now substitute these values into the formula to find the probability, then simplify,
[tex]\frac{15}{25}[/tex]
Divide both the numerator and denominator by (5),
[tex]\frac{3}{5}[/tex]
Find the value of x. 12x - 14 = 34 *
Answer:
x = 4
Step-by-step explanation:
12x - 14 = 34
Add 14 to both sides
12x = 48
Divide both sides by 12
x = 4
Somebody help me plzzz....
Answer:
1. 1 cm
2. 7 and 2/16 (or 1/8) inches
Step-by-step explanation:
2. The distance from each small line on a ruler is 1/16 of an inch.
I need an answer ASAP
Winston works selling bicycles.
He is paid a flat rate of $200 plus $50 for every bicycle that he sells.
How many bicycles must Winston sell to earn at least $650?
Answer:
3
Step-by-step explanation:
650/250 = 2.6 (3)can't sell half a cycle
Answer this please Help
Answer:
x=10.75 in
Step-by-step explanation:
A = 390 = x(3x+4)
3x²+4x-390 =0
ax²+bx+c=0
x= (-b±√b²-4ac)/2a
x= (-4±√(16+4680))/6 = (-4±2√1174)/6 = (-2±√1174)/3
We will consider only the x that gives us a positive answer because the dimensions cannot be negative.
x= (-2+√1174)/3 = 10.75456113≈ 10.75
Find the area of the shape
Help quick plss
Answer:
7.14 in²
Step-by-step explanation:
A = LW
A = 2 x 2 = 4
-----------------------------------------------------------------------------------------------------------------
A = 3.14r²
A = 3.14 (1²)
A = 3.14 (1)
A = 3.14
-----------------------------------------------------------------------------------------------------------------
3.14 + 4 = 7.14
Write down the general equation of the normal distribution
The following is the plot of the normal percent point function. where \phi is the cumulative distribution function of the standard normal distribution and Φ is the probability density function of the standard normal distribution.
It’s algebra 2 I have no idea help?
Answer:
outs dnc fungi obi fh hk of dk foo ox dj fk
The diameters of bolts produced by a certain machine are normally distributed with a mean of 1.20 inches and a standard deviation of 0.01 inches. What proportion of bolts will have a diameter greater than 1.211 inches
Answer:
0.1357 = 13.57% of bolts will have a diameter greater than 1.211 inches
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 1.20 inches and a standard deviation of 0.01 inches.
This means that [tex]\mu = 1.20, \sigma = 0.01[/tex]
What proportion of bolts will have a diameter greater than 1.211 inches?
This is 1 subtracted by the p-value of Z when X = 1.211. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.211 - 1.20}{0.01}[/tex]
[tex]Z = 1.1[/tex]
[tex]Z = 1.1[/tex] has a p-value of 0.8643.
1 - 0.8643 = 0.1357
0.1357 = 13.57% of bolts will have a diameter greater than 1.211 inches
Find the area of the sector formed by a central angle of 45 degrees in a circle of radius 2.1
meters. Round to the hundredth.
Answer:
1.731 meters squared
Step-by-step explanation:
Look at the image for reasoning
show me an example of fibonacci sequence
Answer:
See Below
Step-by-step explanation:
The fibonacci sequence is a recursive type sequence where each term is the sum of the two previous terms. The sequence starts out as:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811...
The fibonacci sequence can be found in nature quite often. For example, it is found in "the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern and the arrangement of a pine cone's bract". It can also be found in the number of tree branches in each row.
Another cool place it can be found is in the diagonals of pascals triangle (shown in the image attached)
*Disclaimer: I do not own any of the images
42-(32+4)+7
Evaluate the following expression
Answer:
13
Step-by-step explanation:
42 - (32 + 4) + 7 =
42 - 36 + 7 =
13
Answer:
15.
Step-by-step explanation:
Since 32 + 4 are in parenthesis, you'd do that first. 32 plus 4 equals 36, which subtracted from 42 is equal to 8. 8 plus 7 is 15. Therefore, your answer is 15.
I hope this helped, have a nice day.
Question 1. Refer to the graph and write the inequality that satisfied the shaded region
Answer:
mexico
Step-by-step explanation:
Which of the following quadratic regression equations best fits the data
shown below?
O A. y = 4.67x2 + 4.10x + 2.87
OB. y= 2.87x2 + 2.70x + 4.07
O c. y= 2.09x2 + 1.30x + 4.61
O D. y= 3.11x2 + 1.20x+ 3.64
length of a rectangle is 2 metre and the breadth is 50 find the ratio of a length to the breadth of a rectangle
Mindscapes: 11, 14, 16
What combination of transformations is shown below?
Explanation:
To go from figure 1, to figure 2, we apply a translation (aka "shifting"). Specifically, we translate 3 units to the right and 4 units up.
To go from figure 2 to figure 3, we apply a reflection. The mirror line is vertical and it is along the shared segment of figures 2 and 3.
What is the vertex of the graph of f (x) = 2x2 – 4x ?
Answer:
Step-by-step explanation:
vertex at (x,y)=(1,−1)
axis of symmetry: x=1
mark brailiest
How many different squads of 5 players can be picked from 10 basketball players?
Answer:
2 squads of five can be picked from 10 basketball players
Step-by-step explanation:
To solve this problem you have to divide 10 ÷ 2 which equals to 5.
The two way table shows the results of a survey that asked high school students whether they have a job.
Numerical Response
15b - 6 - 3b + 10
This polynomial simplifies to the form
nb + m
then n + m=?
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]15b - 6 - 3b + 10 \\ 15b - 3b - 6 + 10 \\ = 12b + 4[/tex]
12b + 4 is in the form nb + m, where,
n = 12m = 4So,
[tex] = n + m \\ = 12 + 4 \\ = 16[/tex]
✐ 16 is the correct answer.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
if you were to roll a dice one time what is the odds of rolling a number less than three?
Answer:
1/3
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome. On a fair die, the number are 1 to 6 while 1 and 2 are the only numbers less than 3.
Hence the odds of getting a number is the ratio of 6 to 6 while the odds of getting a number lower than 3 will be
= 2/6
= 1/3 (in the lowest term)
This is because the odd of getting 1 is 1/6 and the odd of hetting 2 is 1/6 9 recall that both numbers appear once on a die). Hence the odd of getting 1 or 2 will be
= 1/6 + 1/6
= 2/6
=1/3
Please help with this problem
Answer:
9/13 should be the answer
Explanation:
does not have a sister & has a brother / does not have a sister & has a brother + does not have a sister & does not have a brother =
9 / (9 + 4) = 9 / 13
The accompanying table shows the value of a car over time that was purchased for 14100 dollars, where x is years and y is the value of the car in dollars. Write an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth. Using this equation, determine the value of the car, to the nearest cent, after 15 years.
Answer:
equation: 14506.226(0.870)^x
answer: 1796.15
Step-by-step explanation:
Plugging in the tables into your calcuator
a= 14506.226
b= .870
y=ab^x
y= 14506.226(0.870)^x
= 1796.15
The equation of the exponential regression is [tex]\rm y = 14100 \ e^{-0.087x}[/tex]. And the value of a car after 15 years is $ 3,823.53.
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
The accompanying table shows the value of a car over time that was purchased for 14100 dollars, where x is years and y is the value of the car in dollars.
The exponential regression equation will be given as
[tex]\rm y = A_o e^{kx}[/tex]
Where A₀ is the coefficient of exponential regression and k is the constant.
For x = 0, the value of y will be $ 14100. Then we have
[tex]\rm 14100= A_o e^{k*0}\\\\ A_o \ \ \ \ = 14100[/tex]
Then the equation will be
[tex]\rm y = 14100 \ e^{kx}[/tex]
For x = 1, the value of y will be $12,929. Then we have
[tex]\rm 12929= 14100 e^{k*1}\\\\ e^k \ \ \ \ = 0.91695[/tex]
Taking ln both sides, then we have
[tex]\begin{aligned} \rm ln\ e^k &= ln \ 0.91695\\\\\rm k*ln \ e &= -0.087\\\\\rm k &= -0.087 \end{aligned}[/tex]
Then the equation will be
[tex]\rm y = 14100 \ e^{-0.087x}[/tex]
Then after 15, the value of a car will be
[tex]\rm y = 14100 \ e^{-0.087*15}\\\\\rm y = 14100 * 0.2712\\\\\rm y = 3823.53[/tex]
More about the exponent link is given below.
https://brainly.com/question/5497425
Prove that the shape below is a rectangle.
Answer:
HG = EF
GF = HE
Step-by-step explanation:
Find the Surface Area of this Prism
Answer:
[tex]54 m^2[/tex] is the correct answer I believe
In the figure CE=34 cm and DE=30 cm. What is the radius of the circle?
The radius divides the diameter into 2, and the radius of the circle is 16 units
How to determine the radius?The radius of the circle and the tangent line meet at a right angle.
This means that:
CE² = r² + DE² ------ Pythagoras theorem
So, we have:
34² = r² + 30²
Evaluate the squares
1156 = r² + 900
Rewrite as:
r² = 1156 - 900
Evaluate
r² = 256
Take the square root of both sides
r = 16
Hence, the radius of the circle is 16 units
Read more about radius at:
https://brainly.com/question/9554871
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Listed below are amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Assume that the distributions for each state are normal and that all variances are equal.
Arkansas 4.8 4.9 5.0 5.4 5.4 5.4 5.6 5.6 5.6 5.9 6.0 6.1
California. 1.5 3.7 4.0 4.5 4.9 5.1 5.3 5.4 5.4 5.5 5.6 5.6
Texas. 5.6 5.8 6.6 6.9. 6.9 6.9 7.1 7.3 7.5 7.6 7.7 7.7
Answer:
Texas Texas Texas is I think right
No, the claim that the three samples are from populations with the same mean is not correct and this can be determined by using the given data.
Given :
The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level.The Hypothesis test is given below:
Null Hypothesis: [tex]H_0:\mu_1=\mu_2=\mu_3[/tex]
Alternative Hypothesis: [tex]H_a:\mu_1\neq \mu_2\neq \mu_3[/tex]
For the F-test, the test statistics is given by:
[tex]F = \dfrac{MS_{\rm{between}}}{MS_{\rm{within}}}[/tex]
Now, substitute the values of known terms in the above expression.
[tex]F = \dfrac{15.8252}{0.6896}[/tex]
[tex]F = 22.95[/tex]
So, the p-value regarding the value of F is:
[tex]P-value=P(F>22.95)[/tex]
[tex]P-value = 1.0.9999[/tex]
[tex]P-value = 0.0001[/tex]
The Null Hypothesis is rejected because P-value is less than the significance value.
For more information, refer to the link given below:
https://brainly.com/question/10758924
Calculate the variance and the standard deviation for the following sample data. Scores: 7, 9, 0, 1, 7, 4, 4, 7, 6
Answer:
Variance = 9
Standard deviation = 3
Step-by-step explanation:
Step 1
Find the Mean
Means = Sum of values/Number of values
= 0 + 1 + 4 + 4 + 6 + 7 + 7 + 7 + 9/9
= 45/9
= 5
Step 2
The formula for Sample variance
= (x - Mean)²/n - 1
Where
n = number of values = 9
Hence:
Sample variance =
( (0 - 5)² + (1 - 5)²+ (4 - 5)² + (4 - 5)² + (6 - 5)² + (7 - 5)² + (7 - 5)² + (7 - 5)² + (9 - 5)²)/9 - 1
= (-5² + -4²+ -1² + -1² + 1² + 2² + 2² + 2² + 4²) /8
= (25 + 16 + 1 + 1 + 1 + 4 + 4 + 4 + 16)/8
= 72/8
= 9
Sample Standard deviation = √Sample variance
= √9
= 3