Hey there! I'm happy to help!
The domain is all of the possible x-values and the range is all of the possible y-values.
Let's quickly rearrange our equation so we can plug in x to see what y is.
12x+6y=24
We subtract 12x from both sides.
6y=-12x+24
We divide both sides by six.
y= -2x+4
Since there are three domains we can plug into this equation that can give us one output, we will have three numbers in our range! Let's plug in our x-values to get our three y-values.
y=-2(-4)+4
y=12
y=-2(0)+4
y=4
y=-2(5)+4
y= -6
When writing your range, you order the numbers from least to greatest. We can write this range as {-6,4,12}
Have a wonderful day!
You wish to accumulate $14,580 in 6 years. Payments are made at the end of every six-month period into an account earning 7.2% compounded semi-annually. Find the required payment amount to accomplish your goal.
The equinoxGroup of answer choicesis when the subsolar point is at one of the tropics.is the longest day of the year at any given place.has 12 hours of day and 12 hours of night for all locations.occurs four times during the year.
Answer:
c. has 12 hours of day and 12 hours of night for all locations
Step-by-step explanation:
The equinox is the time of the year marked by a nearly equal length of day and night. This word has a Latin root meaning which stands for equality, hence the word 'equinox'. It usually falls on March 21, and September 23 of every year. On these days the sun is above the equator.
The equinox which occurs around September happens in the Northern Hemisphere and is also known as the Fall or Autumnal equinox. Whereas, the equinox which occurs at the Southern Hemisphere is also known as the Spring or Vernal equinox. During an equinox, the tilt of the earth is perpendicular to the sun.
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.05 for the estimation of a population proportion
Answer:
A sample of 385 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large a sample:
We need a sample of n.
n is found when M = 0.05.
We dont know the true proportion, so we work with the worst case scenario, which is [tex]\pi = 0.5[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.05}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.96*0.5}{0.05})^{2}[/tex]
[tex]n = 384.16[/tex]
Rounding up
A sample of 385 is needed.
If a sample of size 41 is selected, the value of A for the probability P(-A ≤ t ≤ A) = 0.90 is:
Answer: 1.684
Step-by-step explanation:
since sample size (n) is 41
confidence level = 0.90 = 90%
df = n - 1
df = 41 - 1
df = 40
that is For Degrees of Freedom = 40
significance level α = 1 - (confidence level / 100)
Significance Level α = 1 - (90/100 ) = 0.10
using the z-score
critical values of t = 1.684
A graph has been attached to further assist.
can someone help me asap pls?
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Trigonometry.
so here, we gonna use the cosine ratios.
so here, we also use the Pythagoras Theorem.
[tex] {h}^{2} + {k}^{2} = {r}^{2} [/tex]
so we here, we get
h= 1 ,
[tex]h = 1 \: r = 2 \: k = \sqrt{3} \: \\ \alpha = 60 \: \beta = 30[/tex]
No one is helping me :( Can someone please give me a hand? :(
Which statement best describes the graph of x^3 – 3x^2
- X + 3?
A.It starts down on the left and goes up on the right
and intersects the x-axis at x = -1, 2, and 3.
B.It starts down on the left and goes up on the right
and intersects the x-axis at x = -1, 1, and 3.
C.It starts up on the left and goes down on the right
and intersects the x-axis at x = -1, 2, and 3.
D.It starts up on the left and goes down on the right
and intersects the x-axis at x = -1, 1, and 3.
18. You are standing beside the Colorado River, 400 feet
from the base of Hoover Dam. Using an electronic distance
measuring device, you find the distance to the top of the dam
to be 965 feet. Use the diagram at the right to find the height
of the dam.
965ft
a.
561.6 ft
b. 781.6 ft
c. 566 ft
400 ft
166 ft
=======================================================
Work Shown:
The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965
Use the pythagorean theorem
a^2+b^2 = c^2
566^2+x^2 = 965^2
x^2 = 965^2 - 566^2
x = sqrt( 965^2 - 566^2 )
x = 781.58108984289 which is approximate
x = 781.6 feet when rounding to one decimal place
What is the greatest common factor of 42 and 35?
Answer:
7
Step-by-step explanation:
Your knowledge of multiplication tables tells you ...
42 = 6·7
35 = 5·7
The common factor is 7.
_____
You can use Euclid's algorithm to find the GCF. Find the remainder when the larger number is divided by the smaller. If that remainder is zero, the smaller number is the GCF. If the remainder is not zero, start again using the smaller number and the remainder.
42 ÷ 35 = 1 r 7 . . . the remainder is not 0
35 ÷ 7 = 5 r 0 . . . . the GCF is the divisor, 7.
Graph the equation y = 1/8x-7
Answer:
[tex]slope:1/8y-intercept:-7\\COORDINATES(x,-7)\\\\(56,0)[/tex]
Step-by-step explanation:
Please help I will give out brainliest
Answer:
answer B
Step-by-step explanation:
the front elevation is facing you and has 2 squares on the top-layer and the bottom row starts under the right top-layer square
that makes the answer B. I'm prett sure
Answer:
I believe the answer is B
factor the polynomial -5x^3-10x^2-15x
Answer:
-5x(x^2 + 2x + 3)
Explanation:
-5x is the highest common factor of all terms in the polynomial
-5x^3 - 10x^2 - 15x = -5x(x^2 + 2x + 3)
how do you mathematically write 6 inches and 4 1/2 inches
I’m not exactly sure what this means.
But you can use “ to abbreviate the labels.
So it would be 6” and 4.5”
Answer:
Step-by-step explanation:
There is some ambiguity in this question. I think you want 4.5 + 6 = 10.5 inches.
Solve and check: 3 x2 + 5x + 6 + x − 1 x + 2 = 7 x + 3
Answer:
3[tex]x^{2}[/tex] -2x +5=0
Step-by-step explanation:
Combine liked terms:
3[tex]x^{2}[/tex]+5x+x-1x+6+2=7x+3
3[tex]x^{2}[/tex]+6x-1x+8=7x+3
3[tex]x^{2}[/tex]+5x+8=7x+3
Subtract 3: 3[tex]x^{2}[/tex]+5x+8-3=7x+3-3
3[tex]x^{2}[/tex]+5x+5=7x
Now subtract 7x:
3[tex]x^{2}[/tex]+5x+5-7x=7x-7x
If you want combine liked terms:
3[tex]x^{2}[/tex]-7x+5x+5=0
3[tex]x^{2}[/tex]-2x+5=0
Hope this helps!
Mary Jo spends $2,690 to buy stock in two companies. She pays $24 a share to one of the companies and $25 a share to the other. If she ends up with a total of 110 shares, how many shares did she buy at $24 a share and how many did she buy at $25 a share?
Answer:
60 of 24 dollars each and 50 of 25 dollars
Step-by-step explanation:
x= 24 dollars
110 shares, total x at 24 dollars each
110-x at 25 dollars each
24x+25 (110-x)=2690
24x+ 2750 - 25x= 2690
-1x= -60
x= 60
24 multiplied by 60 =1440
2690-1440 =1250
1250 / 25 = 50
can u vote me as brainliest ?
Precalculus Help Needed!
Answer:
It approaches 1
Step-by-step explanation:
f(x)=1
g The p-value of a test is the probability of obtaining a result as or more extreme as the one obtained in the sample, assuming the null hypothesis is false
Answer:
The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.
Step-by-step explanation:
The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.
We reject the null hypothesis if the p-value of a statistic is lower than the level of significance α.
And we fail to eject the null hypothesis if the p-value of a statistic is greater than the level of significance α.
A lower p-value indicates that the result is statistically significant.
And a higher p-value indicates that the result is not statistically significant.
A statistics professor drew a random sample of 81 observations and found that x with bar on top equals 62 s equals 15. Estimate the LCL of the population mean with 90% confidence. Report your answer to two decimal places.
Answer:
LCL = 59.26 to two decimal places
Step-by-step explanation:
Here, we want to estimate the LCL of the population mean with 90% confidence
We proceed as follows;
Given alpha = 0.1, then Z(0.05)=1.645 (from standard normal table), s = 15
Mathematically;
LCL =x_bar -Z*s/√( n)= 62 - (1.645 * 15)/√81
LCL = 62- (24.675)/9 = 59.2583
LCL = 59.26 to two decimal places
What is this expression in simplified form?
3^3 x 6^6
Answer:
i think its 1259712.
Step-by-step explanation:
when we find3^3 and 6^6 we get, 27×46656
and by multiplying them we get, 1259712...
is answer
Answer:
1,259,712
Step-by-step explanation:
Follow the order of operations, evaluating exponents first:
3^3 × 6^6 = 27 × 46,656 = 1,259,712
_____
When in doubt, the Google calculator can be relied upon to follow the order of operations. (Use an asterisk (*) for multiplication.)
I NEED HELP PLEASE THANKS!
An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of 18° relative to the horizontal. The wind is blowing with a velocity of 42 miles per hour at an angle of S47°E. Find a vector that represents the resultant velocity of the plane relative to the point of takeoff. Let i point east, j point north, and k point up.
(Show work)
Answer:
30.7i + 135.9j + 53.4k
Step-by-step explanation:
The ' horizontal ' may act as the x - axis in this case, the airplane taking off at an angle of 173 cos 18 respective to this x - axis. Respectively it travels restricted to an angle of 173 sin 18 from the y - axis. The following shows this angle at vector( s ) j and k relative to the air -
j - ( 173 cos 18 ),
k - ( 173 sin 18 )
Thus, one can assume such -
[tex]0i + ( 173 cos 18 )j + ( 173 sin 18 )k[/tex]
Knowing that, this second bit here should be similar to the first bit above, given that the wind is now blowing with a velocity of 42 miles per hour at an angle of 47 degrees. Therefore, j = 42 cos 47, i = 42 sin 47 -
[tex]( 42 sin 47 )i + ( 42 cos 47 )j + 0k[/tex]
Adding the two we should get the following -
[tex]30.7i +135.9j + 53.4k[/tex]
Answer:
30.72i+ 135.89j +53.46k
Step-by-step explanation:
If we measure angle φ up from the horizontal and angle θ CCW from east, the direction vector of the airplane at take-off is ...
(ρ, θ, φ) = (173 mph, 90°, 18°)
The rectangular expression of this vector will be ...
(ρ·cos(θ)·cos(φ), ρ·sin(θ)·cos(φ), ρ·sin(φ)) = (0, 164.53, 53.46) . . . mph
__
The wind vector is ...
(ρ, θ, φ) = (42, -43°, 0°) ⇒ (30.72, -28.64, 0) . . . mph
And the rectangular coordinate sum of these vectors is ...
(0, 164.53, 53.46) +(30.72, -28.64, 0) = (30.72, 135.89, 53.46)
The resultant velocity vector of the airplane is ...
30.72i+ 135.89j +53.46k
The mean weight of an adult is 6767 kilograms with a variance of 121121. If 164164 adults are randomly selected, what is the probability that the sample mean would be greater than 64.864.8 kilograms
Answer:
99.48% probability that the sample mean would be greater than 64.8 kilograms.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation(which is the square root of the variance) [tex]\sigma[/tex], the zscore 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 pvalue, 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.
In this question:
[tex]\mu = 67, \sigma = \sqrt{121} = 11, n = 164, s = \frac{11}{\sqrt{164}} = 0.86[/tex]
What is the probability that the sample mean would be greater than 64.8 kilograms?
This is 1 subtracted by the pvalue of Z when X = 64.8.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{64.8 - 67}{0.86}[/tex]
[tex]Z = -2.56[/tex]
[tex]Z = -2.56[/tex] has a pvalue of 0.0052
1 - 0.0052 = 0.9948
99.48% probability that the sample mean would be greater than 64.8 kilograms.
Solve the equation. dx/dt =3/xet +9x An implicit solution in the form F(t.x)C, where C is an arbitrary constant.
Answer:
[tex]\text{The implicit solution:} \frac{1}{81} e^{9x}(9x - 1) + \frac{3}{e^t} = C[/tex]
Step-by-step explanation:
It is given that there is arbitrary constant C and we have to find the implicit solution. Therefore, first separate the variable that is given in equation and then use integration to find the implicit solution. Here, below is the calculation.
The given equation is:
[tex]\frac{dx}{dt} = \frac{3}{xe^{t-9x}}[/tex]
Now, if we use separation of variable.
[tex]\frac{dx}{dt} = \frac{3}{xe^{t-9x}} \\\frac{dx}{dt} = \frac{3}{xe^{9x}e^{t}} \\xe^{9x}dx = \frac{3}{e^{t}}dt \\[/tex]
Now integrate both side:
[tex]\int xe^{9x} dx = \int \frac{3}{e^{t}} dt \\\frac{e^{9x}}{9}(x) - \int \left [ \frac{e^{9x}}{9} \right]dx = -3e^{-t} + C \\[/tex]
[tex]\frac{xe^{9x}}{9} - \frac{e^{9x}}{81} = -3e^{-t} + C \\\frac{1}{81} e^{9x}(9x - 1) + \frac{3}{e^t} = C \\[/tex]
Thus, the implicit solution is:
[tex]\frac{1}{81} e^{9x}(9x - 1) + \frac{3}{e^t} = C[/tex]
The width of a rectangle is 6 less than the length. Let L represent the length of the rectangle. Write an expression for the width of the rectangle.
Answer:
W+6 = Y.
Or
Y -6 = W
Step-by-step explanation:
Let's call the length of the rectangle L.
And let W represent the width of the rectangle.
Let's write an expression to determine the width of the rectangle relative to the length of the rectangle.
From the question, the width W is 6 less than the length L of the rectangle.
It means the length is greater than the width with 6 units.
The expression is
W+6 = Y.
Or
Y -6 = W
www.g A bag contains 3 white counters, 10 black counters, and 4 green counters. What is the probability of drawing (a) a white counter or a green counter
Answer:
41.18% probability of drawing a white counter or a green counter
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
There are 3+10+4 = 17 counters.
Of those, 3+4 = 7 are white or green
7/17 = 0.4118
41.18% probability of drawing a white counter or a green counter
help with this I don't know how to solve
Answer:
86.53
Step-by-step explanation:
Area of Triangle Formula: A = 1/2bh
Pythagorean Theorem: a² + b² = c²
Step 1: Draw altitude and label numbers
If we draw a line down the middle, we can see that we get a perpendicular bisector and that we get 2 right triangles with a hypotenuse of 29 and a leg of 3. We need to find h using Pythagorean Theorem in order to use area formula:
3² + b² = 29²
b² = 29² - 3²
b = √832 = h
Step 2: Plug in known variables into area formula:
A = 1/2(√832)(6)
A = 3√832
A = 86.5332
Write an expression involving integers for each statement a) moving 4 steps left, then moving 9 steps right b) on 3 separate occasions, Shari lost 2 pencils
Answer:
a) x-4+9
b) x-2
For part b, I am not 100% sure about my answer, but I am sure about part a.
if there are about 3.346x10^26 molecules of water in a liter of water and the ocean is about 1.26x10^21 liters in volume, how many water molecules are there in the ocean?
Answer: 4.21596 x 10⁴⁷
Step-by-step explanation:
(3.346 x 10²⁶) (1.26 x 10²¹)
= (3.346 x 1.26) x 10²⁶⁺²¹
= 4.21596 x 10⁴⁷
The correlation matrix obtained for the variables bp (y) (blood pressure), age (x1) (age), smk (x2) (smoke) and WET(X3) (Weight), is given by:
BP AGE SMK WET
BP 1 0.64 0.72 0.48
AGE 1 0.32 0.78
SMK 1 0.40
WET 1
Based on this matrix please calculate the partial correlation.
a. 0.53
b. 0.48
c. 0.62
d. 0.32
Answer:
c) 0.62
Step-by-step explanation:
In this case, we are required to find the partial correlation, [tex] r_Y_X_1_|_X_2[/tex].
To find the partial correlation, use the formula:
[tex] r_Y_X_1_|_X_2 = \frac{r_Y_X_1 - r_Y_X_2 * r_X_1_X_2}{\sqrt{1 - r_X_1_X_2}^2 - \sqrt{1 - r_Y_X_2}^2} [/tex]
[tex] r_Y_X_1_|_X_2 = \frac{0.64 - 0.72 * 0.32}{\sqrt{1 - 0.32}^2 - \sqrt{1 - 0.72}^2} [/tex]
[tex] = \frac{0.410}{0.657}[/tex]
[tex] r_Y_X_1_|_X_2 = 0.62 [/tex]
The partial correlation is 0.62.
Option C
PLEASE HELP ASAP!!! A toy store has 10 stores all about the same size in a city the graph shows sales for one of the stores last month. Which statement is best supported by the information in the graph?
Answer:
The first one
Step-by-step explanation:
Took the test
Answer: 1/10 of the store's total sales last month were in appliances (lower right corner)
Step-by-step explanation:
Let's go through the four possible answers
In the upper left corner it says "Total mobile phone sales is likely 27,000" which is a paraphrase of what is given. The chart gives 9000 as the phone sales for that one particular store. If all stores are identical in performance, then we have 4*9000 = 36000 in total mobile phone sales. Of course, it's impossible to know for sure how the other stores did. So we can eliminate this as one of the answers.
In the upper right corner, it says "13% of the stores sales was in car electronics" (also paraphrased). We have 13 thousand in car electronics out of 17+13+6+9+15 = 60 thousand total. Divide the two values: 13/60 = 0.2167 = 21.67% approximately. So we can eliminate this as an answer.
In the lower left corner, it says "the total sales is likely greater than $300,000" but we don't know for sure because again we don't have the other charts for the three other stores. Assuming the four stores perform the same, then we'd have 4*60 = 240 thousand as the total and not 300 thousand. It's safe to say we can eliminate this as an answer.
In the lower right corner, it says "1/10 of the stores sales were appliances". This statement is true. Why? Because 6 thousand is the sales figure for appliances out of 60 thousand total. Divide the values: 6/60 = 1/10. So this is why the lower right corner is the answer.
You just purchased two coins at a price of $1,030 each. Because one of the coins is more collectible, you believe that its value will increase at a rate of 7.7 percent per year, while you believe the second coin will only increase at 7.1 percent per year. If you are correct, how much more will the first coin be worth in 20 years
Answer:4541(Rounded) 4541.99779(Unrounded)
Step-by-step explanation:
A= P(1 + r)^T
A= answer
P=principle(amount of money)
r=Rate(percent / 100)
T=Time(Annually)
1030(1 + .077)^20
Brainliest would be appericiated!
Solve for y: |6y - 3| + 8 = 35 Select one: a. y = -5 b. y = 5 or y = -4 c. =5=−203 y = 5 o r y = − 20 3 d. y = 5
Answer:
y=5 or y=-4
Step-by-step explanation:
6y - 3| + 8 = 35
|6y-3|=35-8
|6y-3|=27
either 6y-3=-27 then 6y=27+3
y=30/6=5
or 6y-3=-27
6y=-27+3
y=-24/6
y=-4