Answer:
The correct option is C. (x=2)
Step-by-step explanation:
Given
Length of the hypotenuse of the right angled triangle (h) = 2.5 cm
Length of one of the side (a) = 1.5 cm
Let the length third side be 'b' cm
By Pythagoras theorem
h² = a² + b²
Adding Values on both sides
⇒ (2.5)² = (1.5)² + b²
⇒ 6.25 = 2.25 + b²
⇒ 6.25 - 2.25 = b²
⇒ 4 = b²
⇒ √4 = b
⇒ 2 = b
⇒ b = 2
linear regression model describing the relationship between the carat weight and price of very high quality diamonds is summarized below.
A diamond seller lists a very high quality diamond weighing 0.8 carats at a price of $10,999. Does this model over- or under-predict the price of this diamond? Select the option below that best summarizes the answer.
A. The model under-predicts the price of this diamond because the residual is positive.
B. The model over-predicts the price of this diamond because the residual is positive.
C. The model over-predicts the price of this diamond because the residual is negative.
D. We do not have enough information to answer this question.
E. The model under-predicts the price of this diamond because the residual is negative.
Answer:
A. The model under-predicts the price of this diamond because the residual is positive.
Step-by-step explanation:
The diamond seller has listed its 0.8 weighting diamonds at a price of $10,999. The price of the diamond is set as the market maker. The model is used to predict the price of the diamonds. This model has under predicted the value of diamonds and actual price of diamonds must be higher.
Choose the graph that represents the vector (2, -3)
Since, we are given the coordinates of vector as (2,3),
We will represent the vector in XY plane,i.e.
a graph having x-axis and y-axis.
we draw a straight line representing x-axis and a straight line bisecting it representing y-axis;
Monitors manufactured by TSI electronics have lifespans that have a normal distribution with a standard deviation of 1000 hours and a mean lifespan of 17,000 hours. If a monitor selected at random find the probability that the lifespan of the monitor would be more than 18,000 hours. Round answer to four decimal places
SOLUTION
The given values are:
\(\mu=17000,\sigma=1000,X=18000\)The z score is calculated as follows:
\(\begin{gathered} z=\frac{X-\mu}{\sigma} \\ z=\frac{18000-17000}{1000} \\ z=1 \end{gathered}\)Thus the required probability is P(z>1)
Using the table it follows:
\(P\left(x>Z\right)=0.1587\)Therefore the required probability is 0.1587
what are product rule
The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.
At a large regional collegiate women’s swim meet, an official records the time it takes each swimmer to swim 100 meters for all swimmers who compete in only one stroke category. The following table shows the mean times and corresponding standard deviations for the collegiate women at the swim meet for each of the four stroke categories. Stroke Category Mean 100 meter Time Standard Deviation Backstroke 55.6 seconds 0.70 seconds Breaststroke 63.3 seconds 0.92 seconds Butterfly 54.4 seconds 0.94 seconds Freestyle 50.2 seconds 0.76 seconds For each of the 4 stroke categories, consider a random variable representing the time of a randomly selected swimmer in that category. What is the standard deviation of the sum of the 4 random variables?
Answer:
1.6726
Step-by-step explanation:
square each standard deviation, add them then squareroot.
\(\rm SD = 1.6726\)
Step-by-step explanation:
Given :
Stroke Category Time Standard Deviation
Backstroke 55.6 sec 0.70 sec
Breaststroke 63.3 sec 0.92 sec
Butterfly 54.4 sec 0.94 sec
Freestyle 50.2 sec 0.76 sec
Calculation :
To find the standard deviation of the sum of the 4 random variables we need to square each of the standard deviation and add them and then take the square root.
\(\rm SD = \sqrt{(0.70^2)+(0.92^2)+(0.94^2)+(0.76^2)}\)
\(\rm SD = \sqrt{2.7976}\)
\(\rm SD = 1.6726\)
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I need help
1−(−3)−5
answer is -1 you can check it on the calculator
pleaseeee mark me as the BRAINLIEST pleaseeee
Step-by-step explanation:
(-)(-)=+
1−(−3)−5
1+3-5
4-5
-1
The ratio of the one leg of the right triangle to the other leg of the right triangle must be 8:7. Determine the greatest length of one leg of the right triangle given the other leg of the right triangle is 10.5 feet.
Answer:
534
Step-by-step explanation:
Which of the following equations has a graph with a y-intercept of -8
Three-year-old boys in the United States have a mean height of 38 inches and a standard deviation of 2 inches, and 10-year-old girls have a mean height of 54.5 inches and a standard deviation of 2.5 inches.
Mrs. Davis has two children: a 3-year-old boy 43 inches tall and a 10-year-old girl 57 inches tall.
Which of Mrs. Davis' children is more unusually tall for his
or her age and gender? Explain, showing any calculations you perform.
The 3-year-old boy is more unusually tall for his age and gender than the 10-year-old girl.
To solve this problemA z-score calculates how many standard deviations an observation is from the mean. An observation is said to be above the mean if the z-score is positive, while it is said to be below the mean if the z-score is negative.
For the 3-year-old boy, the z-score is:
z = (43 - 38) / 2 = 2.5
The z-score for the 10-year-old girl is:
z = (57 - 54.5) / 2.5 = 1
The 3-year-old boy has a higher z-score than the 10-year-old girl, indicating that he is more unusually tall for his age and gender. This is due to his height, which is higher than the average for his age group 38 inches .
Therefore, the 3-year-old boy is more unusually tall for his age and gender than the 10-year-old girl.
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Graph the line with slope -1/3 passing through the point (2, 1).
Answer:
Step-by-step explanation:
y = mx + b
y = -x/3 + b
1 = -2/3 + b
b = 5/3
y = -x/3 + 5/3
IR = V
(solve for R)
Answer:
The solution of the equation is \(R = \frac{V}{i}\).
Step-by-step explanation:
The previous equations is for the Ohm's Law, which states that current (\(i\)), measured in amperes, is directly proportional to the voltage (\(V\)), measured in volts:
\(V \propto i\)
The complete formula is:
\(I\cdot R = V\) (1)
Where \(R\) is the electric resistance, measured in ohms.
Solving for \(R\) means that we need to clear \(R\) within the formula, a process that will be presented step-by-step:
1) \(V = i\cdot R\) Given
2) \(V\cdot i^{-1} = (i\cdot R)\cdot i^{-1}\) Compatibility with multiplication.
3) \(V\cdot i^{-1} = R\cdot (i\cdot i^{-1})\) Commutative and associative properties.
4) \(V\cdot i^{-1} = R\cdot 1\) Existence of multiplicative inverse.
5) \(V\cdot i^{-1} = R\) Modulative property.
6) \(R = \frac{V}{i}\) Definition of division/Symmetric property/Result
The solution of the equation is \(R = \frac{V}{i}\).
3 3/10 + 2 1/10
5 4/20
5 4/10
4/10
1 2/10
Answer:
5 4/10 is the answers for the question
Step-by-step explanation:
please give me brainlest
Please help me, I am give brainliest for right answers
Answer:it seems as if the red and yellow paint go up more and more so here is your equation
Step-by-step explanation:
in the cordnaite plane It shows the the red and yellow paint has more in each batch and is multiplying by 2 on r axis and adding three each time on the y axis
the angel of elevation from a ball on a football field to the top of a 30 foot tall goal post 16 degree 42'. How far is the football from the base of the goal post? Round to the nearest tenth of a foot.
The football is approximately 96.4 feet from the base of the goal post.
What is tangent function?The tangent function in trigonometry is used to determine the proportion between the lengths of the adjacent and opposite sides in a right triangle. Where theta is the angle of interest, the tangent function is defined as:
tan(theta) = opposing / adjacent.
When the lengths of one side and one acute angle are known, the tangent function is used to solve for the unknown lengths or angles in right triangles. In order to utilise the tangent function, we must first determine the angle of interest, name the triangle's adjacent and opposite sides in relation to that angle, and then calculate the ratio of those sides using the tangent function.
Given, the angle of elevation is 16 degrees 42'.
That is,
Angle of elevation = 16 degrees 42' = 16 + 42/60 = 16.7 degrees
Using tangent function we have:
tan(16.7) = 30/x
x = 30 / tan(16.7)
x = 96.4 feet
Hence, the football is approximately 96.4 feet from the base of the goal post.
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B (7,-3)
C (6,-),
A (4,-9)
What is the y-coordinate of point C?
OA A
OB. -5
Oc. -6
OD. -7
Answer:
\(y = -5\)
Step-by-step explanation:
Given
\(B = (7,-3)\)
\(C = (6,y)\)
\(A = (4,-9)\)
Required
The y coordinate of C
Since A, B and C are on the same line, the slope of AB and the slope of AC will be the same.
Slope (m) is calculated as:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
For AC
\(A = (4,-9)\) \(C = (6,y)\)
\(m = \frac{y - -9}{6 - 4}\)
\(m = \frac{y +9}{2}\)
For AB
\(A = (4,-9)\) \(B = (7,-3)\)
\(m = \frac{-3 --9}{7-4}\)
\(m = \frac{-3 +9}{3}\)
\(m = \frac{6}{3}\)
\(m = 2\)
So, we have:
\(m = \frac{y +9}{2}\) and \(m = 2\)
\(m = m\)
\(\frac{y +9}{2} = 2\)
Multiply both sides by 2
\(y +9 = 4\)
Solve for y
\(y = 4-9\)
\(y = -5\)
Hence, the y coordinate of C is -5
A 2-gallon container of disinfectant costs $20.48. What is the price per cup?
Answer:
$0.64 per cup
Step-by-step explanation:
There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:
1 gallon: 16 cups
2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups
So we need to find the price of each cup:
1 cup = ($20.48 / 32 cups) = $0.64 per cup.
What number is five steps to the right of -100?
Answer:
The answer is negative -95
Which expression represents "9 more than x"?
A. x−9
B. 9⋅x9
C. 9−x
D. x+9
Answer:
C. 9 - x
Step-by-step explanation:
We are given a sentence expression : 9 more than x.
Let's go over all the expressions and what they say as a setnence.
A. x - 9
This would be x more than 9, since the original number of x is way higher than 9. Making this answer incorrect.
B. 9 * x^9? (I am assuming)
This would be 9 times x, not even the correct property.
C. 9 - x
This would be 9 more than x, though you could say it's addition, the value of 9 is more than x, hence making it subtraction.
D. x + 9
This would be 9 plus x, no number has an official value than another.
Someone do this for me
Mοve the pοint by twice the distance fοund in step 2 in the οppοsite directiοn οf the line x=-2.
What is triangle?A triangle is a pοlygοn with three sides, three angles, and three vertices. It is the simplest pοlygοn that can be fοrmed with straight lines. The sum οf the interiοr angles οf a triangle is always 180 degrees. The three sides οf a triangle can be οf equal length (equilateral triangle), twο sides can be οf equal length (isοsceles triangle), οr all sides can be οf different lengths (scalene triangle).
Tο reflect the given image acrοss the vertical line x=-2, we can fοllοw these steps:
Draw a vertical line passing thrοugh x=-2.
Fοr each pοint in the image, find the distance between the pοint and the line x=-2.
Cοnnect the new pοints tο fοrm the reflected image.
Therefοre, mοve the pοint by twice the distance fοund in step 2 in the οppοsite directiοn οf the line x=-2.
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A rental car leaves San Francisco at 10.20am and reaches Los Angeles at 10.45am covering a distance of 75 kilometers.
i) How long is the drive ?
ii) Find the average of the car ?
For triangle ABC (shown here), the value of angle BCD is equal to 30 degrees. If CD is the height of the triangle and is 12 centimeters, then what is the perimeter of triangle ABC?
The perimeter of triangle ABC could be either approximately 27.98 cm or approximately 14.66 cm, depending on the length of AB.
What is the perimeter?
The perimeter is a mathematical term that refers to the total distance around the outside of a two-dimensional shape. It is the length of the boundary or the sum of the lengths of all the sides of a closed figure.
Let's call the length of AB x and the length of BC y.
First, we can use the fact that CD is the height of the triangle to find the area of triangle ABC:
Area of triangle ABC = 1/2 * CD * AB
Substituting the given values, we have:
1/2 * 12 * x = 6x
So the area of triangle ABC is 6x square centimeters.
We can also use the fact that angle BCD is 30 degrees to set up a trigonometric equation involving x and y:
tan(30) = x/y
Simplifying, we get:
y = x/tan(30) = x/(1/√(3)) = √(3) * x
Now we can use the formula for the area of a triangle in terms of its sides:
Area of triangle ABC = 1/2 * AB * BC * sin(B)
where B is the angle between sides AB and BC. In this case, we know that angle BCD is 30 degrees, so angle BCA is 60 degrees, and angle ABC is 90 degrees. Therefore, we have:
Area of triangle ABC = 1/2 * x * √3 * x * sin(60)
Simplifying, we get:
Area of triangle ABC = 1/4 * √3 * x²
Since we already found that the area of triangle ABC is 6x square centimeters, we can set these two expressions equal to each other and solve for x:
6x = 1/4 * √(3) * x²
Multiplying both sides by 4/√3, we get:
24/√(3) * x = x²
Simplifying, we get:
x² - 24/√(3) * x = 0
Using the quadratic formula, we get:
x = (24/√(3) ± √((24/√(3))² - 410)) / 2*1
Simplifying, we get:
x = 16√(3) / 3 or x = 8 √(3) / 3
Since we are looking for the perimeter of triangle ABC, we need to find y as well. Using the equation we derived earlier, we have:
y = √(3) * x
Therefore, we have two possible triangles:
Triangle ABC1: AB = 16 √(3) / 3, BC = 16, and AC = 8 √7 / 3
Triangle ABC2: AB = 8 √3 / 3, BC = 8, and AC = 4 √7 / 3
The perimeter of each triangle is the sum of its side lengths. Therefore:
Perimeter of triangle ABC1 = 16 √3/ 3 + 16 + 8 √7 / 3 ≈ 27.98 cm
Perimeter of triangle ABC2 = 8 √3 / 3 + 8 + 4 √7 / 3 ≈ 14.66 cm
hence, the perimeter of triangle ABC could be either approximately 27.98 cm or approximately 14.66 cm, depending on the length of AB.
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What is the slope of the line 1/7
Answer:
3/4
Step-by-step explanation:
Well its a incomplete Question but i am solving a realted type Question .
• Find the slope of the line -3x - 4y = 12 :-
Ans ) The given equation can be converted into Slope intercept form , which is y = mx + c , where ,
m is slope c is y Intercept⇒ -3x -4y = 12
⇒ -4y = 12 +3x
⇒ y = 3x + 12 /4
⇒ y = 3/4x + 12/3
⇒ y = ¾x + 4
Comparing to Standard Form⇒ m = ¾
⇒ c = 4
Hence the slope of the line is 3/4.who wanna trade brainly acccs?
Help meeeeeeeeeeeeeeee
Answer:
75
Step-by-step explanation:
f(4) means to use 4 in place of x.
f(x) = 3(5)^(x-2)
fill in 4 for
f(4) = 3(5)^(4-2)
do the 4-2 subtraction first
f(4) = 3(5)^2
do the 5 to the 2nd power next.
f(4) = 3(25)
last, multiply.
f(4) = 75
This is just following the typical order of operations.
2. In the graph of the inequality x-2y24, which is a value for x on the boundary line and the x-
axis?
04
0-2
02
00
(1 point)
The value of x on the boundary line is (a) 4
How to determine the value of x?From the question, we have the following parameters that can be used in our computation:
x-2y >= 4
Rewrite as
x - 2y ≥ 4
On the boundary line, we have the value of y to be 0
So, we have the following representation
x - 2(0) ≥ 4
Evaluate
x ≥ 4
Express as an equation
x = 4
Hence, the value of x is 4
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How many solutions does the system have?
2x+3y=6
-3x+5y=-15
Answer:
one solution
Step-by-step explanation:
2x+3y=6 multiply this equation with 3
-3x+5y=-15 multiply this equation with 2
so
6x+9y=18
-6x+10y=-15
----------------------
add these equation
so 6x-6x+9y+10y=18-15
19y=3
y=3/19
so 2x+3*3/19=6 multiply this equation with 19
2x*19+9=6*19
38x+9=114
-9 -9
38x=105
x=105/38
Convert the fraction below into a decimal 23/40?
Answer:
Step-by-step explanation:
23/40 = 0.575
pelase help if do brainliet
Answer:
First problem (Jeremy):
\( \frac{1}{3} ( \frac{3}{5} + \frac{2}{5} )\)
Second problem (Sylvia):
\( \frac{2}{5} ( \frac{3}{5} + \frac{1}{3} )\)
Third problem (Kailey):
\( \frac{3}{5} ( \frac{1}{3} + \frac{2}{5} )\)
Chandra said she could paint 7 out of 20 toys for the toy drive. Tuesday, she painted 4. What percent of the 20 toys does she still have to paint?
Answer:
80%
Step-by-step explanation:
out of 20, 1 would be 5%
4 = 20%
100% - 20% = 80%
She needs to paints the 15% of the total toys.
What is percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Total toys= 20
Toys to be paint= 7
She paints 4 toys and 3 toys are remaining .
so, percent of the 20 toys does she still have to paint
= 3/ 20 x 100
= 3 x 5
= 15%
Hence, she needs to paints the 15% of the total toys.
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If four times a number is added to-7, the result is 3 more than twice the number what’s the number
Answer:
the number is 5
Step-by-step explanation:
let the number be x
4*(x)+-7=3+2x
4x-7=3+2x
2x=10
x=5