Answer: x = 12
Step-by-step explanation:
First, we have to add 4 on both sides of the equation to combine like terms:
3х – 4 (+4) = 8 (+4) + 2х
3x = 12 + 2x
Now we subtract 2x on both sides of the equation, which leaves x by itself:
3x (-2x) = 12 + 2x (-2x)
x = 12
if EB = 5 , find the value of CD
Chords and Arcs
Answer:
10Step-by-step explanation:
AB = 2EB
AB=CD
Due to that
Cd = 2EB therefore
CD = 10
Find the value of x.
A. 10
B. 17
C. 14
D. 7
Answer:
x = 7
Step-by-step explanation:
By a certain theorem, Congruent chords are equidistant from the center of a circle. We know these chords are congruent because the top half of the left chord and bottom half of the right chord are congruent.
We also know that a radius perpendicular to a chord will bisect it, meaning the length of each chord is 20, but that's irrelevant, really.
So, now that we know the chords are equidistant from the center, we also know that x will be equal to 7.
Have a nice day, fam.
Can anyone know the answer?
Step-by-step explanation:
[tex]4x + 2 = 90 \\4x = 88 \\ x = 22[/tex]
It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with mean 376 minutes and standard deviation 67 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with mean 520 minutes and standard deviation 110 minutes. A researcher records the minutes of activity for an SRS of 7 mildly obese people and an SRS of 7 lean people.
A) What is the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes?
B) What is the probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?
Answer:
a) 0.0537 = 5.37% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes
b) 0.9871 = 98.71% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mildly obese:
Mean 376 minutes and standard deviation 67 minutes, which means that [tex]\mu = 376, \sigma = 67[/tex]
Sample of 6
This means that [tex]n = 6, s = \frac{67}{\sqrt{6}} = 27.35[/tex]
Lean
Mean 520 minutes and standard deviation 110 minutes, which means that [tex]\mu = 520, \sigma = 110[/tex]
Sample of 6
[tex]n = 6, s = \frac{110}{\sqrt{6}} = 44.91[/tex]
A) What is the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes?
This is 1 subtracted by the pvalue of Z when X = 420, using the mean and standard deviation for mildly obese people. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{420 - 376}{27.35}[/tex]
[tex]Z = 1.61[/tex]
[tex]Z = 1.61[/tex] has a pvalue of 0.9463
1 - 0.9463 = 0.0537
0.0537 = 5.37% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes.
B) What is the probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?
This is 1 subtracted by the pvalue of Z when X = 420, using the mean and standard deviation for lean people. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{420 - 520}{44.91}[/tex]
[tex]Z = -2.23[/tex]
[tex]Z = -2.23[/tex] has a pvalue of 0.0129
1 - 0.0129 = 0.9871
0.9871 = 98.71% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes
Please help me i need this turned in by tonight and i really don’t understand it but i don’t need an explanation i just need the awnser.
When Tyee runs the 400 meter dash, his finishing times are normally distributed with a mean of 61 seconds and a standard deviation of 1.5 seconds. If Tyee were to run 39 practice trials of the 400 meter dash, how many of those trials would be faster than 62 seconds, to the nearest whole number?
To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.
We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.
The z-score formula is:
z = (x - μ) / σ
Where:
x = value (62 seconds)
μ = mean (61 seconds)
σ = standard deviation (1.5 seconds)
Calculating the z-score:
z = (62 - 61) / 1.5
z ≈ 0.6667
Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.
Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.
To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:
Number of trials = Proportion * Total number of trials
Number of trials = 0.7461 * 39
Number of trials ≈ 29.08
Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.
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A spherical water tank with diameter of 26 meters supplies water to a small town. The town uses about 400 cubic meters of water per day. To
the nearest day, how long would a full tank last if no water were replaced due to drought conditions.
Answer:
23 days
Step-by-step explanation:
We would first determine the volume of the tank. This gives information on the amount of water it can carry
WE divide the volume by the amount of water the town uses per day
Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³
n = 3.14
r == radius
radius = 1/2 x diameter
radius = 26/2 = 13 meters
volume = (4/3) x (3.14) x (13^3) = 9198.106667 m^3
How long the tank would last = 9198.106667 / 400 = 23 days
Point Q is located at (-9, 10).
Where is Q' after a translation
4 units right and 11 units down?
Answer:
(-5, -1)
Step-by-step explanation:
Moving towards the right makes a number more positive for x and moving down makes numbers more negative for y
how do you write 16% as a decimal
Answer:
0.16
Step-by-step explanation:
rewrite 16 percent in the terms of per 100 or over 100.
16% = 16 over 100 or,
16% = 16/100
16 over 100 is the same as 16 divided by 100. So completeing the division we get:
16 ÷ 100 = 0.16
Thus, the answer is 0.16
hope this helps you :)
The blue segment below is a radius of oo. What is the length of the diameterof the circle?
Answer:
Diameter = 18.6 unitsStep-by-step explanation:
radius = 9.3 units
Diameter = 2 × radius
= 2 × 9.3
= 18.6 units
f(x) = 3x^2 - 7 4x^2 – 3 Find f(2)
Answer:
f=5/8x^2+-3/2Divide both sides by two
Step-by-step explanation:
Hope that helped
Cora uses the following ingredients to make once more.
Answer:
10 if the other the numbers go up as well
Step-by-step explanation:
20/2= 10
Which would mean Kora could make 10 s'mores
Matthew has saved a total of $14,800, of which $3700 is invested in the stock market. What percent of his total savings is invested in the stock market?
Answer:
$ 56 .0000
Step-by-step explanation:
.......... ....... ....... ........ .....
Is PS a vertical line, a horizontal line, or neither?
P (-1,0), S (-1,7)
Given:
The two points are P (-1,0) and S (-1,7).
To find:
Whether the line PS is vertical, horizontal or neither.
Solution:
We have, two points P (-1,0) and S (-1,7).
Slope of the line PS is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{7-0}{-1-(-1)}[/tex]
[tex]m=\dfrac{7}{0}[/tex]
[tex]m=\infty[/tex]
We know that the slope of a vertical line is [tex]\infty[/tex].
Since the slope of the line PS is [tex]\infty[/tex], therefore PS is a vertical line.
Solve for the value of r.
Answer:
14
Step-by-step explanation:
The two given angles are opposite angles and opposite angles always have the same measure. Knowing this, we can construct the following equation:
7r+6=8r-8
Subtract both sides by 6
7r+6-6=8r-8-6
7r=8r-14
Subtract both sides by 8r
7r-8r=8r-14-8r
-r=-14
Divide both sides by -1
r=14
I hope this helps!
What is the x-intercept of the equation -3x + 5y = -15
Answer:
Hi! Just for your safety do not click on the link in the other answer!
The answer to your questions is (5,0) Or another way to express it is 5.
Step-by-step explanation:
To find the x-intercept substitute 0 in for y and solve for x.
※※※※※※※※※※※※※※
⁅Brainliest is greatly appreciated!⁆
- Brooklynn Deka
Hope this helps!!
Please expert or aced help me :C
Peyton needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 4 hours and charged her $77 for
parts. The total was $497. Write and solve an equation which can be used to
determine x, the cost of the labor per hour.
Answer:
The cost of labor per hour is $105.
The expression is 4x + 77 = 497
Step-by-step explanation:
The expression is 4x + 77 = 497, where 4x represents the cost of labor per hour, 77 is the cost of the parts, and 497 is the total.
4x + 77 = 497
4x + 77 - 77 = 497 -77
4x = 420
4x/4=420/4
x = 105
Find the surface area of the prism.
Answer:
136
Step-by-step explanation:
The formula to find the surface area is 2(wl+hl+hw)
W= 3
H= 8
L= 4
wl= 3*4 = 12
hl= 8*4= 32
hw= 8*3 = 24
12+32+24= 68
68 * 2 = 136
I don’t understand this...I’ve tried reading for answers, but this question stumps me. Please help!
Answer:
x=1, y=-5
Step-by-step explanation:
4(1)+2y=-6
2y=-10
y=-5
or
-3x-2(-5)=7
-3x=-3
x=1
Hope this helps!
What causes a sequence to be arithmetic? Geometric?
Answer:
An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.
Step-by-step explanation:
help guys pls asap!!!
Answer:
(-3,-5) so yeeeeeeeeeeeeeeeeeeeee
Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can you do 1 and 4 thanks!! :)))
What is the intercept of the equation
Answer:
-2
Step-by-step explanation:
Plug y=0 into the equation and solve the resulting equation 0=3x+6 for x
what is the mean of this data set 8,2,5,12
Answer:
6.75
Step-by-step explanation:
Add up all the numbers in the data set :
8 + 2 + 5 + 12 = 27
Divide 27 by the total numbers in the data set :
27 ÷ 4 = 6.75
Therefore, the mean if the data set is 6.75
A polynomial function contains the factors x, x - 3 , and x + 1 Which graphs could represent the polynomial function? SELECT ALL THAT APPLY.
Answer:
Option B and F.
Step-by-step explanation:
Given that the terms x, x-3 and x+1, are the factors of the polynomial, therefore the roots are calculated by equating the factors to zero,
[tex]x = 0[/tex]
x - 3 = 0 ➡️ x = 3
x + 1 ➡️ x = -1
Plus, the polynomial has the zeroes -1, 0 and 3.
It means that the curve of the graph should intersect the x-axis at x = 0, x = 1, and x = 3.
Now select the graphs which pass through (-1, 0), (0, 0) and (3, 0).
It is observed that the graphs in options B and F follow this path.
So the correct choices are option B and F.
Determine the equation of a straight line that is parallel to the line 2x + 4y =1 and which passes through the point (1, 1).
The equation of the line parallel to 2x + 4y = 1 and passing through the point (1, 1) is y = (-1/2)x + 3/2.
For finding the equation of a line parallel to the given line and passing through the point (1, 1), we need to determine the slope of the given line and use it to construct the equation.
The given line has the equation 2x + 4y = 1. To determine its slope, we can rewrite the equation in slope-intercept form (y = mx + b), where m represents the slope. Rearranging the equation, we have:
4y = -2x + 1
y = (-2/4)x + (1/4)
y = (-1/2)x + 1/4
Comparing this equation to the slope-intercept form (y = mx + b), we can see that the slope of the given line is -1/2.
The line we're trying to find is parallel to this line, it will also have a slope of -1/2. We can now use the point-slope form of a line to construct the equation. The point-slope form is given by:
y - y₁ = m(x - x₁)where (x₁, y₁) represents the coordinates of the point through which the line passes, and m is the slope.
Substituting the values of (x₁, y₁) = (1, 1) and m = -1/2 into the point-slope form, we get:
y - 1 = (-1/2)(x - 1)
Expanding and simplifying the equation:
y - 1 = (-1/2)x + 1/2
y = (-1/2)x + 1/2 + 1
y = (-1/2)x + 3/2
The equation of the line parallel to 2x + 4y = 1 and passing through the point (1, 1) is y = (-1/2)x + 3/2.
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An experiment examined the impact of THC (the active ingredient in marijuana) on various physiological and psychological variables. The study recruited a sample of 18 young adults who were habitual marijuana smokers. Subjects came to the lab 3 times, each time smoking a different marijuana cigarette: one with 3.9% THC, one with 1.8% THC, and one with no THC (a placebo). The order of the conditions was randomized in a double-blind design. At the start of each session, no subject reported being "high." After smoking the cigarette, participants rated how "high" they felt, using a positive continuous scale (0 representing not at all "high"). For the placebo condition, participants reported a mean "high" feeling of 11.3, with a standard deviation of 15.5. A 95% confidence interval for the population mean feeling of "high" after smoking a placebo marijuana cigarette is
Answer:
OOO
Step-by-step explanation:
Use the model to find the expected number of automobile registrations (in millions) for year 1,988.
Express you answer as a decimal rounded to the nearest hundredth. Do not include units with your answer.
Answer:
6.26 automobile registrations
Step-by-step explanation:
Given
[tex]y=0.3949x-778.7[/tex] --- [function, missing from the question]
Required
The expected number in 1988
To do this, we substitute 1988 for x in: [tex]y=0.3949x-778.7[/tex]
[tex]y = 0.3949 * 1988 - 778.8[/tex]
[tex]y = 785.0612 - 778.8[/tex]
[tex]y = 6.2612[/tex]
[tex]y \approx 6.26[/tex] --- approximated to the nearest hundredth
What is the formula for finding the area of a triangle, parallelogram and trapezoid?
If you answer, thank you! <3