the answer is twenty five degrees
Answer:
25 degrees
Step-by-step explanation:
The slope-intercept form of the equation of a line that passes through point (–3, 8) is y =- 2 /3x +8 . What is the point-slope form of the equation for this line? y – 3 = –2/3 (x + 8) y + 3 = -2/3 (x - 8) y + 8 = - 2/3 (x - 3) y - 8 = -2/3 (x + 3 )
Answer:
y - 8 = - [tex]\frac{2}{3}[/tex](x + 3)
Step-by-step explanation:
y = - [tex]\frac{2}{3}[/tex] x + 8 ← is in slope- intercept form with slope m = - [tex]\frac{2}{3}[/tex]
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - [tex]\frac{2}{3}[/tex] and (a, b) = (- 3, 8), thus
y - 8 = - [tex]\frac{2}{3}[/tex] (x - (- 3)), that is
y - 8 = - [tex]\frac{2}{3}[/tex] (x + 3)
The annual sales of romance novels follow the normal distribution. However, the mean and the standard deviation are unknown. Forty percent of the time, sales are more than 470,000, and 10% of the time, sales are more than 500,000. What are the mean and the standard deviation?
Answer:
Mean(m) = 462,536
sd = 29,268.29
Step-by-step explanation:
Given the following:
P(sales > 470,000) = 40% = 0.4
P(sales > 500,000) = 10% = 0.1
Using the z - table, we can locate the corresponding P values
Z = 1 - p = 1 - 0.4 = 0.6; 1 - 0.1 = 0.9
Locating the closest value to 0.6 on the z table ;
(0.25 + 0.26) / 2 = 0.255
Locating the closest value to 0.9 on the z table ;
Z = 1.28
Recall;
z =( x - m) / sd
Where m = mean ; sd = standard deviation
First condition:
0.255 = (470,000 - m) / sd
0.255 × sd = (470,000 - m) - - - - - (1)
1.28 = (500,000 - m) / sd
1.28 × sd = (500,000 - m) - - - - (2)
We can solve for one of the unknowns y subtracting equation (1) FROM 2
1.28sd - 0.255sd = (500,000 - m) - (470000 - m)
1.025sd =500,000 - m - 470000 + m
1.025sd = 30,000
sd = 29,268.29
Substituting the value od SD into (1) or (2)
1.28 × 29,268.29 = 500000 - m
37463.41 = 50000 - m
m = 50000 - 37463.41
Mean(m) = 462,536
6.12)
Jennifer had some money in her
pocket. She spent $1.35, which left
her with $2.30. Which equation could
Jennifer use to find m, the original
amount of money she had in her
pocket?
A m + 2.30 = 1.35
B m - 1.35 = 2.30
C 2.30 = 1.35 – m
D m = 2.30 x 1.35
Answer:
B
Step-by-step explanation:
m-1.35=2.30
you would add -1.35 to the other side
so then you have
m=3.65
which is how much money she had to begin with
Answer:
B
Step-by-step explanation:
m - 1.35 = 2.30
Asap Help please THANK YOU!!
Answer:
≈451.37 cm³
Step-by-step explanation:
Since the diameter of the can is 6, the radius is 3.
Old can height: 12
Old can base radius: 3
Old can volume: 339.12 cm³
New can height: 12×1.1=13.2
New can base radius: 3×1.1=3.3
New can volume: 13.2×3.14×3.3²=13.2×3.14×10.89=451.36872 cm³
24 athletes threw the shot put at a track and field meet. If this was 15/100 of all the athletes in the meet, how many athletes competed in the meet total?
Answer:
160 athletes
Step-by-step explanation:
Let the total number of athletes in the meet be x
Given that 24 athletes who threw the shot put at a track and field meet are 15/100 of all the athletes in the meet .
If we write this in mathematical algebraic expression
15/100 of all the athletes in the meet = 24
15/100 * x = 24
=> x = 24*100/15 = 24*100/3*5 = 160
Thus, 160 athletes competed in the meet.
8 Use prime factorization to find the LCM of 20 and 44,
O 64
0 220
880
Answer:
Th answer is 220
Step-by-step explanation:
On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance from the y-axis to the same point.
Answer:
(2√5)/5
Explanation:
CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION
From the question we can deduced that the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance, we can say that the y-coordinate, is twice of the horizontal, then let call the horizontal "y", the vertical would be 2y.
from the attachment the question on the unit circle is interpreted using a figure,then, hypotenuse was first calculated
Answer:
C, 2 sqrt 5 / 5
Please answer this question now
Answer:
C. Acute
Step-by-step explanation:
Pythagorean theorem can be used to determine the type of triangle any 3 given sides can form.
This,
A right ∆ is formed if a² + b² = c²
An acute ∆ is formed if a² + b² > c²
An obtuse ∆ is formed if a² + b² < c²
Note: c is the longest side of any triangle.
Using the side lengths given:
9.2² + 15.1² ? 17.4²
84.64 + 228.01 ? 302.76
312.65 > 302.76
An acute triangle is formed because a² + b² > c²
work out the area of this quarter circle take pie to be 3.142 radius in image attached thanks (:
Answer:
38.4895 cm^2Solution,
Radius(R)= 7 cm
Area of quarter circle:
[tex] \frac{\pi \: {r}^{2} }{4} [/tex]
[tex] = \frac{3.142 \times 49}{4} [/tex]
[tex] = 38.4895 \: {cm}^{2} [/tex]
Hope this helps...
Good luck on your assignment..
HEEEEELLLLPPPPPPPPP PLEASE
Answer:
939.41711
Step-by-step explanation:
using the pythagorean theorem we can find the hypotenuse of a right angle triangle by using a^2 +b^2 = c^2
a and b being the legs of the triangle.
in this case a = 400
and b = 850
square both numbers:
160000 + 722500 = 882500
√882500 = 939.41711
Can someone please help me I really need help please help me thank you
Answer:
D. 2
Step-by-step explanation:
The rate of change is also considered the slope in graph form.
In the first chart every time the t-value goes up twice the c-value goes up four times.
The same can be said for the graph on the bottom.
If f is a function such that [tex]\lim_{x \to a} \frac{f(x)-f(a)}{x-a} =5[/tex], then which of the following statements must be true? A) f(a) = 5 B) The slope of the tangent line to the function at x = a is 5. C) The slope of the secant line through the function at x = a is 5. D) The linear approximation for f(x) at x = a is y = 5
Answer:
Option D). is correct choice.
Step-by-step explanation:
The linear approximation for f(x) at x = a is y = 5
Best Regards!
The population of a large city can be calculated using the function . What can you say about the rate of change from year 1 to year 2 compared to the rate of change from year 9 to year 10
Answer:
The rate of change will be the same for all years.
Step-by-step explanation:
As it is mentioned in the question, that the rate of change is 7%.
And as we know that
= I (1 + R)^T
where
I = Initial amount
R = Rate of growth,
And T = Time.
So in the given case, the rate is 0.07, or 7% while on the other hand the growth RATE remains constant and the growing amount would be increased each year.
Therefore the rate of change would be the same for all the year
Hello, a Maths question if anyone knows what to do Solve: 6(x+4)=30
Answer:
x = 1
Step-by-step explanation:
6(x+4)=30 (divide both sides by 6)
(x+4) = 30/6
x+4 = 5 (subtract 4 from both sides)
x = 5 - 4
x = 1
Step-by-step explanation: 6(x+4)=30
(Distributive property): 6x+24=30
( Transposition method): 6x=30-24( + becomes -) 6x=6
(Transpose 6 to rhs) x=6/6( since it was multiplication on LHS it becomes division in RHS) x=1
→ Help! ← (please? qwp)
Answer:
1,3,6prop. 245notprop
I'm gonna pack my things and leave you behind
This feeling's old and I know that I've made up my mind
I hope you feel what I felt when you shattered my soul
'Cause you were cool and I'm a fool
So please let me go
But I love you so (please let me go)
I love you so (please let me go)
I love you so (please let me go)
I love you so
Cone W has a radius of 8 cm and a height of 5 cm. Square pyramid X has the same base area and height as cone W. Paul and Manuel disagree on how the volumes of cone W and square pyramid X are related. Examine their arguments. Which statement explains whose argument is correct and why?
This question is incomplete because it lacks the appropriate attachment containing the argument of Paul and Manuel
Kindly find attached the appropriate attachment necessary to solve this question.
The attachment was sourced online
Answer:
a) Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X
Step-by-step explanation:
From the above question, we are given two shapes: Cone W and Square Pyramid
Cone W: Radius = 8cm, Height = 5cm
Volume of a Cone = 1/3 πr²h
Where π = 3.14
Volume of Cone X = 1/3 × 3.14 × 8² × 5
= 334.93cm³
For Square pyramid X
Volume = 1/3 × Base Area × Height
Base Area of Cone W = Base Area of square pyramid X = πr²
Where π = 3.14
Base area = 3.14 × 8² = 200.96cm²
Height of Square pyramid X = Height of Cone W = 5cm
Volume of Square pyramid = 1/3 ×200.96cm² × 5cm
= 334.93cm³
Therefore, from my above calculation and compared with the arguments of Paul and Manuel, Option a) "Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X" is the correct option.
The reason why is because the correct formula for the volume of a square pyramid = 1/3 × Base area × Height
This was the formula Paul used.
Manuel on the other hand used the formula: Base Area × Height to find the volume of cone W. This formula is wrong.
Option a, is the correct answer.
Answer: A. Paul's argument is correct; Manuel used the incorrect formula to find the volume of square pyramid X.
Proof of validity shown below along with the attached chart not included in initial question!
Click Submit.
Which unit of measure would be appropriate for the area of a picture that is 20
centimeters tall and 15 centimeters wide?
O A. Meters
OB. Square centimeters
O C. Cubic centimeters
O D. Centimeters
ons
Answer:
Square centimeters
Step-by-step explanation:
As the area of the picture is 300 cm², Square centimeters are the appropriate unit for measuring the area of the picture.
please mark me brainliest!
2 Points
For this graph, mark the statements that are true.
A. The Range is set of all real numbers
B. The Range is the set of real numbers greater than or equal to zero
C. The domain is the set of all real numbers
D. The domain is the set of all real numbers greater than equal to zero
Answer:
B. The Range is the set of real numbers greater than or equal to zero
C. The Domain is the set of all real numbers .
Step-by-step explanation:
The Domain is the set of real numbers for which the function is defined. In this case, the Domain is the set of all real numbers .
The Range is the set of real numbers that are connected to the elements of the domain. In this case, you see that only real numbers above (or in the) x-axis are connected to the x-values of the domain. Then another answer to check is;
B. The Range is the set of real numbers greater than or equal to zero.
can someone help me answer this
Answer:
x = 80°
Step-by-step explanation:
x = 180 - ( 129 + 71 ) / 2
Thanks!
Matrix tossed three coines wat is the probability that all three coins will land on the same side
Answer: 1/4
Step-by-step explanation:
This problem is very interesting, because it does not specify which side the coin must land on. Thus, the first flip has a 100% of landing on one side, then the next two have a 50% chance of landing on the same side. Thus, the probability is 1*.5*.5, or .25, or 1/4
Suppose that Upper X has a discrete uniform distribution f left-parenthesis x right-parenthesis equals StartLayout left-brace1st Row 1st Column 1 divided by 3, 2nd Column x equals 1,2,3 2nd Row 1st Column 0, 2nd Column otherwise EndLayout A random sample of n equals 39 is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.6. Express the final answer to four decimal places (e.g. 0.9876). The probability is
Answer:
The probability that the sample mean is greater than 2.1 but less than 2.6 is 0.2236.
Step-by-step explanation:
The random variable X follows a discrete uniform distribution.
The probability mass function of X is:
[tex]f(x)=\left \{ {{\frac{1}{3}};\ x=1,2,3 \atop {0;\ \text{otherwise}}} \right.[/tex]
Then,
a = 1
b = 3
The mean and standard deviation of the random variable X are:
[tex]\mu=\frac{b+a}{2}=\frac{3+1}{2}=2\\\\\sigma=\sqrt{\frac{(b-a+1)^{2}-1}{12}}=\sqrt{\frac{(3-1+1)^{2}-1}{12}}=0.8165[/tex]
The sample size is, n = 39.
According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As n = 39 > 30, the sampling distribution of sample mean of X will follow a Normal distribution approximately.
Compute the probability that the sample mean is greater than 2.1 but less than 2.6 as follows:
[tex]P(2.1<\bar X<2.6)=P(\frac{2.1-2.0}{0.8165/\sqrt{39}}<\frac{\bar X-\mu_{\bar x}}{\sigma/\sqrt{n}}<\frac{2.6-2.0}{0.8165/\sqrt{39}})[/tex]
[tex]=P(0.76<Z<4.59)\\\\=P(Z<4.59)-P(Z<0.76)\\\\=1-0.77637\\\\=0.22363\\\\\approx 0.2236[/tex]
Thus, the probability that the sample mean is greater than 2.1 but less than 2.6 is 0.2236.
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y-4=‐2/3(x-6) and passes through the point (-2, -2)?
y=-x-10
y=-2x19
y=x-1
y=x+1
Answer:
y=3/2x+1
Step-by-step explanation:
y-4= -⅔(x-6)
y-4=-⅔x+4
y=-⅔x+4+4
(equation of line 1) y= -⅔x+8 gradient= -⅔
(line 2)gradient=3/2
note* the gradients of perpendicular lines multiplied result to -1
gradient=y²-y²
x²-x¹
3 =y+2
2. x+2
multiply both sides by 2(x+2)to remove the denominators
3(x+2)=2(y+2)
3x+6=2y+4
3x+6-4=2y
3x+2=2y
divide all sides by 2
3/2x+1=y
y=3/2x+1
Trevor drew lines of best fit for two scatter plots, as shown. Which statement describes the placement of the lines Trevor drew?
Answer:
A)Only Line A is well placed line of best fit
Step-by-step explanation:
Best fit line :A line through a scatter plot of data points that best expresses the relationship between those points is called best fit line
The least-squares method provides the closest relationship between the dependent and independent variables by minimizing the distance between the residuals and the line of best fit
By considering both the given graphs
We can see that Line A gives the minimum distance between residuals and line of best fit whereas Line B does not give the minimum distance between residuals and line of best fit
So,Option A is true
A)Only Line A is well placed line of best fit
Answer: a) only line A is a well placed line of best fit
Step-by-step explanation:
what is the coefficient of x^2 y^3 in the expansion of (2x+y)^5
If it's x²y³ then we know it's the second term of the expansion, that known we can use the combination
C(5, 2) = 5!/(2!.3!) = 10
Then if we had something like
(a + b)^5 our second term would be 10a²b³ but as we can see it's "a²"
And in our case we have 2x as a
So we must do 2² too
2² = 4
10 . 4 = 40
Then our second term of the expansion would be
40x²y³
Which number produces a rational number when multiplied by 1/3
Answer:
Here are some examples:
[tex] \sqrt{9}, 18/3, 15, -6, 1.2, 0 [/tex]
Find the equation of the line passing through the points (8,-16) and (1,5)
Answer:
y = -3x + 8
Step-by-step explanation:
First, find the slope using rise/run
21/-7
= -3
Then, find the y-intercept by using the slope and by plugging in a point
5 = -3(1) + b
5 = -3 + b
8 = b
So, the equation will be:
y = -3x + 8
Hey there! :)
Answer:
y = -3x + 8.
Step-by-step explanation:
Use the slope formula to solve for the slope:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in the coordinates:
[tex]m = \frac{-16-5}{8 - 1}[/tex]
Simplify:
[tex]m = \frac{-21}{7}[/tex]
m = -3.
Plug in the x and y value, along with the slope into the slope-intercept formula (y = mx + b) to solve for b:
5 = -3(1) + b
5 = -3 + b
b = 8.
Rewrite the equation:
y = -3x + 8.
If Milly has 29924827134702 candies and she gave 928439 to BOB then he gave 1000 back to Milly How much does both Milly and BoB have?
Answer:
"BOB" gave back 1000 that would be 928439 - 1000 = 927439(BOB has)
"BOB" gave back 1000 to Milly.. 29924827134702 + 1000 = 2.9924827(MILLY has)
Step-by-step explanation:
well, first, if "BOB" gave back 1000 that would be 928439 - 1000 = 927439, so "BOB" now has 27439. and now, "BOB" gave back 1000 to Milly sooo now it is 29924827134702 + 1000 = 2.9924827 (e+13) soooo ya thats it
hope this helped LOL
Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in miles per hour if there are 5,280 feet in a mile?
Which girl bikes faster?
Answer:
12.7 mi/h (Nina's rate), so Nina's bike is faster.
Step-by-step explanation:
1 h = 60 min = 3600 sec
63360 ft/3400 sec *3600 sec/1 h * 1mi/5280ft =12.7 mi/h (Nina's rate)
12.9mi/h >10mi/h, so Nina is faster.
ILL MARK BRAINLIEST In independent random samples of 10 men and 10 women in a coed basketball league, the numbers of points scored per season are given by the back-to-back stemplot below:
Part A: Describe the shape of each data set.
Part B: Michaela analyzed the data and stated that the better measure of center for the women is the mean. Is Michaela correct? Explain your reasoning.
Part C: Michaela decided there are no outliers in the women's data set. Is she correct? Justify your answer mathematically.
Answer:
Step-by-step explanation:
Hello!
a)
To compare both datasets I've made a box plot for them.
The yellow one belongs to the points scored by the men and the green one is for the points scored by the women.
Women: The box seems symmetrical, the median and the mean (black square) are almost the same. The whiskers are almost the same length, you could say that in general the points scored by the women have a symmetrical distribution.
Men: The box looks a little skewed to the right, the median is closer to the 1st quantile and the mean is greater than the median. The whiskers are the same length, in general the distribution seems almost symmetrical.
b)
As you can see in the box plot the median and mean of the points scored by the women are almost the same. Using the data I've calculated both values:
Me= 24.50
X[bar]= 23.80
The median divides the sample in halves (50-50), it shows you where the middle of the distribution is.
The average shows you the value that centers the distribution, meaning, it is the value around which you'll find most of the data set. It summarizes best the sample information and therefore is a better measure of center.
c.
As you can see in the box plots, there are no outliers in both distributions.
An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.
Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:
X < Q₁ - 1.5 IQR
X > Q₃ + 1.5 IQR
Or extreme outliers if:
X < Q₁ - 3 IQR
X > Q₃ + 3 IQR
For the women data set:
Q₁= 17; Q₃= 30; IQR= 30 - 17= 13
Lower outliers: X < Q₁ - 1.5 IQR= 17-1.5*13= -2.5 ⇒ The minimum value recorded is 03, so there are no outliers.
Upper outliers: X > Q₃ + 3 IQR= 30 + 1.5*13= 49.5 ⇒ The maximum value registered is 41, so there are no outliers.
I hope this helps!
In the picture down below
Work Shown:
The idea is that you replace f(x) with y, swap x and y, then solve for y to get the inverse.
[tex]f(x) = \frac{3x-2}{6}\\\\y = \frac{3x-2}{6}\\\\x = \frac{3y-2}{6}\\\\6x = 3y-2\\\\3y-2 = 6x\\\\3y = 6x+2\\\\y = \frac{6x+2}{3}\\\\f^{-1}(x) = \frac{6x+2}{3}\\\\[/tex]