Answer:
m<Q = 133°
Step-by-step explanation:
From the question given above, the following data were obtained:
m<P = (x + 13)°
m<Q = (10x + 13)°
m<R = (2x – 2)°
m<Q =?
Next, we shall determine the value of x. This can be obtained as follow:
m<P + m<Q + m<R = 180 (sum of angles in a triangle)
(x + 13)° + (10x + 13)° + (2x – 2)° = 180
x + 13 + 10x + 13 + 2x – 2 = 180
x + 10x + 2x + 13 + 13 – 2 = 180
13x + 24 = 180
Collect like terms
13x = 180 – 24
13x = 156
Divide both side by 13
x = 156 / 13
x = 12
Finally, we shall determine m<Q. This can be obtained as follow:
m<Q = (10x + 13)°
x = 12
m<Q = 10(12) + 13
m<Q = 120 + 13
m<Q = 133°
plzzzzzzzz help for a brainly
Answer:
The first one is supplementary
The second one is complementary
The third one is vertical
Step-by-step explanation:
Answer:
First answer is supplementary.
second answer is complementary.
Third answer is Vertical.
Help me which one is it for this question ?
Answer:
B
Step-by-step explanation:
Hey There!
for this problem we are finding the coordinates of a translated figure
To do so we subtract the pre-image x values by 5 and subtract the y values by 3
for A
1-5=-4
1-3=-2
so the coordinates of A' would be (-4,-2)
for B
4-5=-1
2-3=-1
so the coordinates of B' would be (-1,-1)
for C
3-5=-2
5-3=2
so the coordinates of C' would be (-2,2)
answer choice b matches our answers there for B is the answer
The temperature on Thursday afternoon was 77 °F. A thunderstorm rolled through, and the temperature dropped by 10 °C. What was the temperature after the storm?
Answer:
15 °C
Step-by-step explanation:
°C = (°F - 32) * (5/9)
Given that the initial temperature was 77 °F and it dropped by 10 °C, we can calculate the final temperature.
Initial temperature: 77 °F
Converting to Celsius:
°C = (77 - 32) * (5/9)
°C ≈ 25
The temperature dropped by 10 °C, so the final temperature is:
Final temperature = Initial temperature - Temperature drop
Final temperature ≈ 25 - 10 = 15 °C
Therefore, the temperature after the storm was approximately 15 °C.
Convert the following into a FRACTION GREATER THAN 1. (Improper fractions)
3 3/7 & 3 5/6
Answer:
1.\(\frac{24}{7}\)
2.\(\frac{21}{6}\)
Step-by-step explanation:
Given the following questions:
\(3\frac{3}{7} \\3\frac{5}{6}\)
To convert mixed numbers into improper fractions we need to multiply the denominators by the whole numbers, and then add that answer to the numerator while of course keeping the denominator the same.
Question one:
\(3\frac{3}{7} \\3\frac{3}{7} =7\times3=21+3=24=\frac{24}{7} \\=\frac{24}{7}\)
Question two:
\(3\frac{5}{6} \\3\frac{5}{6}=6\times3=18+3=21=\frac{21}{6} \\=\frac{21}{6}\)
Your answers are "24/7, and 21/6."
Hope this helps.
Grades on a standardized test are known to have a mean of 1000 for students in the United States. The test is administered to 453 randomly selected students in Florida; in this sample, the mean is 1013, and the standard deviation (s) is 108. a. Construct a 95% confidence interval for the average test score for students in Florida. b. Is there statistically significant evidence that students in Florida perform differently from other students in the United States
Answer:
a
The 95% confidence interval is \(1003 < \mu <1023\)
b
Yes there is statistically significant evidence that students in Florida perform differently from other students in the United States
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 1000\)
The sample size is \(n = 453\)
The sample mean is \(\= x = 1013\)
The standard deviation is \(s = 108\)
Given that the confidence level is 95% then the level of significance is mathematically represented as
\(\alpha = 100 - 95\)
=> \(\alpha = 5\%\)
=> \(\alpha = 0.05\)
The critical value for \(\frac{\alpha }{2}\) obtained from the normal distribution table is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }\)
=> \(E = 1.96 * \frac{108}{\sqrt{453} }\)
=> \(E = 9.946\)
Generally the 95% confidence interval is mathematically represented as
\(\= x - E < \mu < \= x + E\)
=> \(1013 - 9.946 < \mu < 1013 + 9.946\)
=> \(1003 < \mu <1023\)
Given that the population mean(1000) is not within the 95% confidence interval for l for the average test score for students in Florida, then it means that there is statistically significant evidence that students in Florida perform differently from other students in the United States
What's the measure of an arc with a central angle of 120°?
Answer:
the answer is 240 degrees
for z=2cis60°, find z^4 in rectangular form
To find z^4, we can raise z to the fourth power, since z^4 = (z)^4. Using the polar form of z, we have:
z = 2cis(60°)
We can convert this to rectangular form using the following formulas:
x = r cosθ
y = r sinθ
where r is the magnitude of z, and θ is the angle in radians.
r = 2
θ = 60° = π/3 radians
x = 2 cos(π/3) = 1
y = 2 sin(π/3) = √3
Therefore, z = 1 + √3i
Now, we can raise z to the fourth power:
z^4 = (1 + √3i)^4
Using the binomial expansion formula, we can expand this expression:
z^4 = 1 + 4(√3i) + 6(-1) + 4(-√3i) + 1
Simplifying, we get:
z^4 = -8 + 8√3i
Therefore, z^4 in rectangular form is -8 + 8√3i.
Which represents a function?
Answer:
\( \boxed{ \text{Option \: D}}\)
Step-by-step explanation:
All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called vertical line test.
If the vertical line intersects the graph of a relation at one point , the relation is a function .If it cuts at more than one point , it is not a function. It means that if there are more points of the graph of a relation of a vertical line , same first component ( pre - image ) has more images ( second component ) which is not the function by definition.--------------------------------------------------
Let's check all of the options :
☐ Option A :
The vertical line cuts the graph at two points. So , the graph does not represent a function.☐ Option B
No! This is also not a function as the vertical line cuts the graph at two points.☐ Option C
Nah! This too can't be called a function as the vertical line cuts the graph at two points.☑ Option D
Yep! The vertical line cuts the graph at one point. Thus , the graph represents a function.Yayy!! We found our answer. It's ' Option D '.
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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The braking distance D (v) (in meters) for a certain car moving at velocity v (in meters/second) is given by D (v) =
v²/22
The car's velocity B (t) (in meters/second) t seconds after starting is given by B (t) = 3t.
Write a formula for the braking distance S (t) (in meters) after t seconds.
The formula for the braking distance S (t) after t seconds will be t = = ✓22D / 9
How to illustrate the information?From the information, the braking distance D (v) (in meters) for a certain car moving at velocity v (in meters/second) is given by D (v) = v²/22.
It should be noted that the car's velocity B (t) (in meters/second) t seconds after starting is given by B (t) = 3t.
The formula for the braking distance S (t) (in meters) after t seconds will be:
D = v² / 22
Replace v by 3t
D = (3t)² / 22
D = 9t² / 22
Cross multiply
22D = 9t²
t² = 22D / 9
t = ✓22D / 9
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please help please...
The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.
here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.
Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)
So, the image of B,
B' = (-(-4), -5)
B' = (4, -5)
Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.
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What is the congruence correspondence
H
3.
6x
++
For this rectangle, find x.
15
180
90
6
k
Answer:
x =15
Step-by-step explanation:
its a rectangle all interior angles must be equal to 90 so 6x=90
divide by 6 to get x on its own and you get 15
Can someone help me please
Answer: Least to greatest: 6, 4+2n, 12.5, 4n
Step-by-step explanation:
pi = 3.14
4n = 12.56
4 + 2n = 10.28
Least to greatest: 6, 4+2n, 12.5, 4n
Answer:
4π, 12.5, 4+2π, 6
Step-by-step explanation:
4π=12.56637
12.5=12.5
4+2π= 10.2831853
6=6
Define the algebraic terms by counting how many terms given on the expression below.
4x + 3n + 5
Answer:
Two terms ( \( x \) and \( n \))
Step-by-step explanation:
If simplified it gives 3n+4x+5
And cannot be factored
=======================================================
We're given the following expression:
\(\bigstar{\boxed{4x+3n+5}\)
Here,
4x is a term
3n is a term
5 is a term
4 is the coefficient of x
x is a variable
3 is the coefficient of n
n is a variable
5 is a constant
Details:-
A coefficient is a number before a variable
A variable is a letter
A constant is a number without any variables next to it
=========================================================
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
List all the factors pairs in the table 64
(1, 64), (2, 32), (4, 16), (8, 8).
Answer:
1 x 64
2 x 32
4 x 16
8 x 8
Step-by-step explanation:
Factors of 64: 1, 2, 4, 8, 16, 32 and 64.
Pairs:
1 x 64
2 x 32
4 x 16
8 x 8
Hope this helps :)
Question #1:
Select all the statements that are true of a least-squares regression line.
The regression line maximizes the residuals between the observed values and the predicted values.
The slope of the regression line is resistant to outliers.
In the equation of the least-squares regression line, ġ is an observed value when x is known.
The sum of the residuals is always close to zero.
The coefficient of determination measures how much of the variation in the y-values is explained by the regression line.
In the equation of the least-squares regression line, is a predicted value when x is known.
Answer:
1. The sum of the residuals is always close to zero.
2.The coefficient of determination measures how much of the variation in the y-values is explained by the regression line.
3. In the equation of the least-squares regression line, y hat is a predicted value when x is known
Step-by-step explanation:
The least square regression line is a line that makes distance from data points to the regression line to be as minimal as possible. This line is a best fit for the data points. Let's say we have a collection of numbers and a scatter plot, this line is a line that exists and best fits the data.
Therefore, the least square regression line minimizes sum of squared error to be close to zero. R² measures the extent to which variations in the value of y is explained by the regression line. In the equation of this line, y hat is a predicted value when x is known.
The least square regression line minimizes the sum of squared error such that the sum of the residual is zero or very close to 0. Hence, the true statements from the options given are :
Sum of residuals is always close to 0The coefficient of determination measures how much of the variation in the y-values is explained by the regression line.\(y_{hat} \) is the predicted value when x is known.The least square regression Line is used to create a Linear model in the form y = bx + c
The Coefficient of determination R² gives the proportion of the variation explained by the regression line.
The predicted value of y is obtained using the model of the Least Square Regression Line for a given value of x.
Outlier values often affects the performance and accuracy of the Least Square Regression Line.
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Help me pls!!!
3x-2(6-x)=7x+2(5+x)-6
\(3x-2(6-x)=7x+2(5+x)-6\\3x-12+2x=7x+10+2x-6\\5x-12=9x+4\\-4x = 16\\x = -4\)
Hope that helps!
Answer:
x=-4
Step-by-step explanation:
when you are done, you can search this problem and figure out the 13 steps there are.
What is (I^2)+(I^2)+3x if x=I^2?
Show your work.
Answer:
-5
Step-by-step explanation:
(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5
A certain type of kickboard scooter comes in silver, red, 2
or purple with wheel sizes of 125 millimeters or 180
millimeters. Determine the total number of color-wheel size combinations.
(This is probability and I’m having such a hell of a time figuring it out pls help)
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.
Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:
Total combinations = Number of color options × Number of wheel size options
Total combinations = 4 colors × 2 wheel sizes
Total combinations = 8
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
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Suppose you are given a fair coin and an unfair.com, which
always comes out Head with probability 2/3. You chose one
at randoms of the Coins, tossed it twice and the outcomes were
both Heads. What is the probability that the com is fair
Answer:
9/25 or 36%
Step-by-step explanation:
The probability of selecting the fair coin is 1/2, and the probability of getting heads with the fair coin is 1/2.
P(fair) = 1/2, P(heads | fair) = 1/2
The probability of selecting the unfair coin is 1/2, and the probability of getting heads with the unfair coin is 2/3.
P(unfair) = 1/2, P(heads | unfair) = 2/3
P(fair and 2 heads) = 1/2 (1/2)²
P(fair and 2 heads) = 1/8
P(2 heads) = 1/2 (1/2)² + 1/2 (2/3)²
P(2 heads) = 1/8 + 2/9
P(2 heads) = 25/72
Therefore, the probability that you selected the fair coin, given that you flipped 2 heads, is:
P(fair | 2 heads) = (1/8) / (25/72)
P(fair | 2 heads) = (1/8) (72/25)
P(fair | 2 heads) = 9/25
Fill in the blank for this question!
While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero
How to Interpret an Absolute Value Function?The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.
The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.
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Simplify the expressions:
−8y³ x 5y8
Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.
Step-by-step explanation:
You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.
Hope this helps! Have a good day :)
Find sin (E) given the triangle.
Someone pls help me wit this I’m so confused
Answer: 75.75°
Step-by-step explanation:
Sine is the opposite of the angle divided by the hypotenuse. The opposite side of the angle is 12.6 and the hypotenuse is 13.
sin(Ф) = 12.6/13
Take the inverse sine of both sides, this requires a calculator.
Ф = 75.75°
the area of a tennis court is 2000m2 . a rugby pitch has a legnth of 45m and width of 45m . which has the biggest area?
Answer:
The area of a rugby pitch is more as compared to the area of the tennis court.
Step-by-step explanation:
Given that,
The area of a tennis court is 2000 m².
The length and width of a rugby pitch are 45 m and 45 m.
The area of a rugby pitch is given by :
A = lb
So,
A = 45×45
A = 2025 m²
So, it is clear that the area of a rugby pitch is more as compared to the area of the tennis court.
Draw the dilation image A'B'C'D' of the trapezoid ABCD with the center of the dilation at the point P and the scale factor -2.
The attached figure represents the image of A'B'C'D after dilation
How to dilate the trapezoid?The points are given as:
A = (-4,1)
B = (-1,1)
C = (0,-5)
D = (-6,-5)
The scale factor and the center of dilation are given as:
k = -2
P (a,b) = (-3,-2)
The rule of this dilation is:
(x,y) = (k(x - a) + a, k(y - b) + b)
This gives
(x,y) = (-2(x + 3) - 3, -2(y + 2) - 2)
So, we have:
A' = (-2(-4 + 3) - 3, -2(1 + 2) - 2)
A' = (-1, -8)
B' = (-2(-1 + 3) - 3, -2(1 + 2) - 2)
B' = (-7, -8)
C' = (-2(0 + 3) - 3, -2(-5 + 2) - 2)
C' = (-9, 4)
D' = (-2(-6 + 3) - 3, -2(-5 + 2) - 2)
D' = (3, 4)
See attachment for the image A'B'C'D
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Just need answer no explanation
Answer:
I have no idea, sorry
Step-by-step explanation:
Melissa’s mom embroiders 5 flowers on each side of a handkerchief. There is one flower at each corner, how many flowers are embroidered on the handkerchief altogether? If she gets Rs. 6 for embroidering 2 flowers, how much did she get paid for this handkerchief
Answer:
20 flowers at sides and 4 flowers at the corner then
total flowers are 24
cost of 2 flowers is 6 then of one flower will be 3
total cost of the flowers will be 24×3=72
Step-by-step explanation:
4. Maria also wants to study the relationship between the weight of puppies at birth
and their adult weight (at two years old). She collected data from five randomly
selected small-breed dogs and displayed the data in the table.
Birth weightAdult weight
(pounds) (pounds)
1.5 10
317
18
2.5 14
Birth weight Adult weight
(pounds) (pounds)
0.75 5
Part A. Use the data in the table to create a scatterplot. (5 points)
Part A.
(5 points)
Dog Birth and Adult Weights
Answer:
y = 4.87x + 2.28 Is the answer
Step-by-step explanation:
( i see a little bit of part b but do not see the FULL QUESTION which is a problem and i cannot answer.. )
using a:
THE ULTIMATE LINEAR REGRESSION CACLAULTOR
yes it is the epic i get:
y = 4.87x + 2.28
Nothing more noting less ikr
y = 4.87x + 2.28 Being the answer
Which of the following is LEAST associated with human capital?
a)medical treatment that reduces time off of work due to illness or injury.
b)maintenance of fully automated production facilities
c)a college course in accounting
d)an on-the-job training course in the latest production methods.
Answer:
Hope it helps you
Step-by-step explanation:
(a) medical treatment that reduces time off of work due to illness or injury.
y=2x-4 and y=x+1 substitution
The value of x is 5 and the value of y is 6.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the two equations are y=2x-4 and y=x+1. The two equations can be solved as below,
y=2x-4 and y=x+1, Equate both the equations and solve for the value of x,
2x-4 =x+1
2x - x = 4 + 1
x =5
y=x+1
y = 5 + 1 = 6
Hence, the value of x is 5 and the value of y is 6.
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