Using Pythagorean theorem
\(\\ \sf\longmapsto H^2=P^2+B^2\)
\(\\ \sf\longmapsto H^2=5^2+12^2\)
\(\\ \sf\longmapsto H^2=25+144\)
\(\\ \sf\longmapsto H^2=169\)
\(\\ \sf\longmapsto H=13\)
6th grade math help!!
I think the answer might be D. If its greatest to least. I'm pretty sure it is D though. There is no answer for least to greatest in the correct order.
Answer:
B
Step-by-step explanation:
3/5 < 13/20 < 33/50 < 51/75 < 18/25
please help me on this!
Answer:
Step-by-step explanation:
Ok:
First Problem with coin!
1. A coin has 2 sides and one of them is going to land up or down which means it has a chance of 1 out of 2.
1 out of 2=
1/2= 50%
Second Problem with spinner
2. There are 12 spaces on the spinner and three of those spaces are blue.
SO: 3 out of 12=
3/12=
1/4=
25%
Answers: 50% and 25%
IN FRACTION FORM: 1/2 and 1/4
Use the given information to find the minimum sample size required to estimate an unknown population mean μ. How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confidence that the sample mean is within $5 of the population mean, and the population standard deviation is known to be $63.
610 students must be randomly selected to estimate the mean weekly earnings of students at one college.
We have to find our α level, that is the subtraction of 1 by the confidence interval divided by 2.
So: α = (1 - 0.95)/2
α = 0.025
Now, we have to find z in the Z-table as such z has a p-value of 1 - α .
so, Z = 1.96
Now, find the margin of error M as such,
M = z(σ/√n)
In which is the standard deviation of the population and n is the size of the sample.
The population standard deviation is known to be $63.
This means that σ = 63
ample mean within $5 of the population mean
This is n for which M = 5.
So, M = z(σ/√n)
5 = 1.96(63/√n)
2.55 = (63/√n)
√n = 24.70
n = 610.4
n ≈ 610
Therefore, 610 students must be randomly selected to estimate the mean weekly earnings of students at one college.
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please help me with this!!
Answer:
group b
Step-by-step explanation:
because group a got 7.5 kg of berries in total and group b got 8.25 and 8.25>7,5
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Answer:
Step-by-step explanation:
Among all the points on the graph of z=11-x^2-y^2 that lie above the plane x + 3y + 4z = 0: find the point farthest from the plane. What are the values of x, y, and z for the point? x= y= z=
The value of point farthest from the plane is {Mod-(x + 3y + 4(11 - x² - y²))} / √26 units and the values of x, y, and z for the point is 1/8, 3/8, and 347/32.
What is the distance from a point to a plane?
The length of the perpendicular that is dropped from a point to touch a plane is actually the smallest distance between them.
Distance between point and plane:
The distance from (x₀, y₀, z₀) to the plane Ax +By + Cz + D = 0 is
Distance = {Mod-(Ax₀ +By₀ + Cz₀ + D)} / √(A² + B² + C²)
As given,
Z = 11 - x² - y² and plane x + 3y + 4z = 0.
From formula:
D(x, y, z) = {Mod-(Ax₀ +By₀ + Cz₀ + D)} / √(A² + B² + C²)
Substitute values respectively,
D(x, y, z) = {Mod-(x + 3y + 4z)} / √(1² + 3² + 4²)
D(x, y, z) = {Mod-(x + 3y + 4z)} / √(1 + 9 + 16)
D(x, y, z) = {Mod-(x + 3y + 4z)} / √26
Substitute value of z,
D(x, y, z) = {Mod-(x + 3y + 4(11 - x² - y²))} / √26
For farthest point: Dₓ = 0;
1 - 8x = 0
8x = 1
x = 1/8
Similarly, for farthest point: Dy = 0;
3 - 8y = 0
8y = 3
y = 3/8
Substitute obtained values of x and y respectively,
z = 11 - x² - y²
z = 11 - (1/8)² - (3/8)²
z = 347/32
So, the farthest points are,
x = 1/8, y = 3/8, and z = 347/32.
Hence, the value of point farthest from the plane is Mod-(x + 3y + 4z)/√26 units and the values of x, y, and z for the point is 1/8, 3/8, and 347/32.
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Step by step explaination. please and thank you
The interest to be paid on $120 at 5% rate for 6 years is $36
What is the rate of a simple interestSimple interest is the amount paid on a principal amount of money that is borrowed or loaned to someone. It is calculated using the formula: SI = (P × R × T) / 100. Where P is the principal amount, R is the rate and T is the time.
From the question;
P = $120
R = 5%
T = 6years
we shall evaluate for the simple interest as follows:
Simple interest = ($120 × 5 × 6)/ 100
Simple interest = $3600/100
Simple interest = $36
Therefore, the interest to be paid on $120 at 5% rate for 6 years is $36.
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A backpack that normally sells for $39 is on sale for $25. Find the
percent of change.
Answer: To find the discount, simply multiply the original selling price by the %discount:
ie: 39 x 33/100= $12.87
So, the discount is $12.87.
Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:
ie: 39- 12. 87= 26.13
So, the sale price is $26.13
Let p: A number is greater than 25.
Let q: A.number is less than 35.
If p ^ q is true, then what could the number be? Select two options.
Answer:
Here we do not have the options, so I will answer in a general way.
We have two statements:
p = A number is greater than 25
q = A number is less than 35
We want to have:
p ^ q is true
This means:
p and q are true.
So, we need to find a number such that both conditions are meet, so we need to find a number N such that
The number N is greater than 25 (from p)
The number N is less than 35 (from q)
So N can be any number between 25 and 35
So, some of the possible values of N are:
N = 26
N = 27
N = 28.6
N = 33
N = 34
Concluding, any number N ∈ (25, 35) can be a solution.
(Note that N = 25 and N = 35 are not solutions)
A box contains four red, three blue, and six green lenses. two lenses are randomly selected from the box. find the probability of getting two red lenses when two are selected if the first selection is not replaced before the second selection is made
The probability of getting two red lenses when two are selected will be 2/13.
What is probability?The probability of favorable events to the total number of occurrences.
A box contains four red, three blue, and six green lenses.
Two lenses are randomly selected from the box.
Then the probability of getting two red lenses when two are selected if the first selection is not replaced before the second selection is made will be
The total number of the event will be
Total event = ¹³C₂
Total event = 78
Then the favorable event will be
Favorable event = ⁴C₁ x ³C₁
Favorable event = 4 x 3 = 12
Then we have
P = 12 / 78
P = 2/13
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What is the value of x in the equation 2x + 3y = 36, when y = 6?
8
9
оооо
27
Given:-
y=6
Solution:-
2x+3y=36
2x+3(6)=36
2x+18=36
2x=36-18
2x=18
x=18/2
x=9
hope this helps u!
find the pattern of 1,2,6,18 and state if its arithmetic or geometric
Answer:
its a geometric sequence where each term is 3 times the previous term.
Step-by-step explanation:
{2,6,18,54,162,486,1458...}
Given a curve $C$ defined by $\mathbf{r}(t)=\langle 3 t-3,3 t\rangle, 0 \leq t \leq 4$. The line integral $\int_C 2 x^2 \mathrm{~d} y$ is equal to
486
$-486$
None of the others
504
1512
The line integral of $2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486 according to the given information.
To calculate the line integral $\int_C 2x^2 \mathrm{~d}y$, we need to parameterize the curve $C$ and express $x$ and $y$ in terms of the parameter $t$. The given curve is defined as $\mathbf{r}(t) = \langle 3t-3, 3t \rangle$, where $0 \leq t \leq 4$.
Differentiating $\mathbf{r}(t)$ with respect to $t$, we have $\mathbf{r}'(t) = \langle 3, 3 \rangle$. Integrating $2x^2$ with respect to $y$ along the curve $C$ gives us:
$\int_C 2x^2 \mathrm{~d}y = \int_0^4 2(3t-3)^2 (3 \mathrm{~d}t) = 2 \int_0^4 (27t^2 - 54t + 27) \mathrm{~d}t$.
Evaluating the integral, we get $\int_C 2x^2 \mathrm{~d}y = [9t^3 - 27t^2 + 27t]_0^4 = 486$.
Therefore, the line integral $\int_C 2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486.
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Write an equation of the line that passes through (1, 2) and is parallel to y = - 5x + 4
Answer:
y = -5x +7
Step-by-step explanation:
The equation of a line parallel to y = - 5x + 4 and passes through (1, 2) is
y = - 5x + 7.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, a line y = - 5x + 4.
It has a slope of - 5 and we know lines parallel to each other have the same slope.
∴ The slope of the required line is also - 5.
Let, y = - 5x + b is the required line passes through (1, 2),
∴ 2 = - 5(1) + b.
2 = - 5 + b.
b = 2 + 5.
b = 7.
So, y = - 5x + 7.
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Can someone help me out with this?
What is the value of x?
Enter your answer in the box.
Answer:
x = 4Step-by-step explanation:
x has the same value as RT since they are equal sides of the isosceles triangle.
RT is also the hypotenuse of ΔRST - 30°×60°×90° right triangle.
Acoording to the property of such triangles, the ratio of sides is:
a : b : c = 1 : √3 : 2We have:
b = 2√3 and c = RTUse the ratio to find the lenght of RT
2√3 : RT = √3 : 2RT = 2*2√3/√3RT = 4So the value of x is 4 units
Find RT
sin60=2√3/RT√3/2=2√3/RTRT=4√3/√3RT=4Now
tan45=x/4x=4Can someone help me?
Answer:
c aStep-by-step explanation:
The converse of if P then Q simply swaps the clauses: if Q then P. No negation is involved. The biconditional joins them with "if and only if".
All of the answer choices that include not can be rejected.
CDEF IS a trapezium
ABCF is a rectangle
BD=14
AB=7
EF=4
Perimeter of ABCF=26cm
Calculate the area of trapezium CDEF
the area of the trapezium is 126cm ².
Since,
'A trapezium is a quadrilateral, which is defined as a shape with four sides and one set of parallel sides.'
According to the given problem,
AB = FC = 7cm
Perimeter of ABCF = 26cm
CB = FA
⇒ 26 = 7 + 7 + CB + CB
⇒ 12 = 2CB
⇒ CB = 6
Base 1 = CF = 6cm
Base 2 = DEDE = DB + BA + AEDB = AEDE = 14 + 7 + 14 = 35
Area = 1/2 (a + b) h
h = 4a = Base 1 = 7b = DE = 28
Area of trapezium CDEF = 1/2 (7 + 35) 6
= 126
Hence, we can conclude that the area of the trapezium is 126cm ².
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What is the range of the function g(x) = |x – 12| – 2?
{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}
The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.
To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.
The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.
By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.
Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.
Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.
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Figure ABCD is a parallelogram.
What is the perimeter of ABCD?
A
4y - 2
B
14 units
VX
0 38 units
3x - 1
44 units
2x + 2
49 units
D
2y + 6
С
Answer:
3rd option, 44 units
Step-by-step explanation:
3x-1 = 2x+2
or, x = 3
so each side, 3×3-1 = 8
4y-2 = 2y+6
or, y = 4
so each side, 4×4-2 = 14
so perimeter
= 2(8+14)
= 44 units
Answered by GAUTHMATH
what is 999.765 rounding to the nearest hundred thousand
Answer:
10000
that is the Answer
Answer: 1,000,000 if you round to the nearest hundred thousands. Hope it helps! :D
Step-by-step explanation:
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle’s name blank and write CNBD for “cannot be determined” in place of the rule.
Answer:
GIT is congruent to AIN by the rule SAS
Step-by-step explanation:
G is congruent to A because if the rectangle were flipped to be facing the same way as the other it would be A. Then, you follow the directions as is for the other angles.
SAS: You can see there is a side because of the tick marks, an angle where the I is, and other tick marks for the other side.
which pairs of numbers have a greatest common factor of 10
2 and 5
5 and 10
10 and 20
30 and 50
40 and 60
The pairs of numbers have a greatest common factor of 10 are:
C: 10 and 20
D: 30 and 50
How to find the greatest common factor?The greatest common factor (GCF) of a set of numbers is defined as the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors namely: 2 and 4. The largest is 4, and as such we say that the GCF of 12, 20, and 24 is 4.
1) 2 and 5
The factors of 2 are: 1, 2
The factors of 5 are: 1, 5
Then the greatest common factor is 1.
2) 5 and 10
The factors of 5 are: 1, 5
The factors of 10 are: 1, 2, 5, 10
Then the greatest common factor is 5.
3) 10 and 20
The factors of 10 are: 1, 2, 5, 10
The factors of 20 are: 1, 2, 4, 5, 10, 20
Then the greatest common factor is 10.
4) 30 and 50
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
The factors of 50 are: 1, 2, 5, 10, 25, 50
Then the greatest common factor is 10.
5) 40 and 60
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Then the greatest common factor is 20.
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Can someone please teach me!!! :,( !!!!!!!!!!!!!!
and don't do it for the the points or i will have to report even if i do not want to
Graph this line using the slope and y-intercept: y= 1/7x+3
A square pyramid is sliced in such a way that the plane cuts in a direction perpendicular to the base but does not pass through the vertex, what is the resulting cross section?
If a square pyramid is sliced in a way that the plane cuts in a direction perpendicular to the base but doesn't pass through the vertex, the resulting cross-section will be a trapezoid.
This trapezoid will have one pair of parallel sides and one pair of non-parallel sides.
To understand why the resulting cross-section is a trapezoid, imagine a square pyramid standing on its base. Now, imagine slicing the pyramid horizontally, parallel to the base. The resulting cross-section would be a square.
However, if we change the direction of the slice to be perpendicular to the base, but not passing through the vertex, the resulting cross-section will not be a square. Instead, it will be a trapezoid, with one set of parallel sides corresponding to the base of the pyramid, and the other set of sides corresponding to the slice that was made.
This type of cross-section is commonly seen in architectural and engineering designs, where different shapes need to be created by slicing or intersecting 3D shapes. Understanding the resulting cross-section of different slicing techniques is essential to ensure the proper fit and function of the final product.
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an adult woman is randomly selected and her total cholesterol is measured. what is the probability it is in the ""borderline high"" range?
The probability of "borderline high" range is approximately 0.887.
Moving on to the study of 45 randomly selected adult men, we are given that 11.3% of men have high cholesterol levels. We can use this information to answer the following questions:
To answer this question, we can use the formula for standard deviation:
Standard deviation = square root of (number of trials * probability of success * probability of failure)
Probability of failure = 1 - probability of success
Probability of failure = 1 - 0.113
Probability of failure = 0.887
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Complete Question:
An adult woman randomly selected and her total cholesterol measured. What | the probability it is in the "borderline high" range? (4 pt) study of 45 randomly selected adult men, the number who have high cholesterol counted: (Assume that 11,3% of men have high cholesterol ).
hey ty if you can answer
Answer:
c (I think it is c, but I am not a 100% sure)
Step-by-step explanation:
x and y have to be same
Have a nice day! :-)
Answer:
a. ∞, -∞
Step-by-step explanation:
The line has negative slope, so the sign of the end value of y will be the opposite of the sign of the end value of x.
x → -∞, y → ∞ . . . . . off the top of the graph as x goes to the left
x → ∞, y → -∞ . . . . . . off the bottom of the graph as x goes to the right
The end behavior is summarized as ...
∞, -∞ . . . . . matches choice A
Janine is getting a new phone. She needs to purchase her phone, which
is $850. Then each month will be $65.
Write an equation for total cumulative cost (C) per month (m).
C(m) = 850 + 65m is the formula for the total cumulative cost (C) per month (m).
Word problems involving linear equationsLinear equations are equations that has a leading degree of 1. An example of a linear equation is y = mx + b
where:
m is the slopeb is the y-interceptAccording to the given question, Janine is getting a new phone. She needs to purchase her phone, which is $850.
Amount paid monthly = $65
If she completes the payment in 'm' months, the equation for total cumulative cost (C) per month (m) is C(m) = 850 + 65m
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Two bags contain coloured cubes. bag 1 has 2 green cubes and 1 yellow cube. bag 2 has 3 green cubes and 1 yellow cube. determine each probability if you choose 2 cubes from bag 1 without returning the first cube and 1 cube from bag 2. use a visual model to show your thinking. a) all three cubes are the same colour. b) exactly two cubes are the same colour. c) all three cubes are different colours.
a) The probability of all three cubes being the same color is 1/4. For all three cubes to be the same color, we need to choose either 2 green cubes or 2 yellow cubes from bag 1, and then choose a cube of the same color from bag 2.
- Probability of choosing 2 green cubes from bag 1: (2/3) * (1/2) = 1/3
- Probability of choosing 2 yellow cubes from bag 1: (1/3) * (1/2) = 1/6
The probability of choosing a cube of the same color from bag 2 is 1/2.
So, the probability of all three cubes being the same color is: (1/3) * (1/2) + (1/6) * (1/2) = 1/4.
b) The probability of exactly two cubes being the same color is 2/3. For exactly two cubes to be the same color, we can have either 2 green cubes and 1 yellow cube, or 1 green cube and 2 yellow cubes from bag 1, and then choose any cube from bag 2.
- Probability of choosing 2 green cubes and 1 yellow cube from bag 1: (2/3) * (1/2) = 1/3
- Probability of choosing 1 green cube and 2 yellow cubes from bag 1: (2/3) * (1/2) = 1/3
The probability of choosing any cube from bag 2 is 1.
So, the probability of exactly two cubes being the same color is: (1/3) * 1 + (1/3) * 1 = 2/3.
c) The probability of all three cubes being different colors is 1/3. For all three cubes to be different colors, we need to choose 1 green cube and 1 yellow cube from bag 1, and then choose any cube from bag 2.
- Probability of choosing 1 green cube and 1 yellow cube from bag 1: (2/3) * (1/2) = 1/3
The probability of choosing any cube from bag 2 is 1.
So, the probability of all three cubes being different colors is: (1/3) * 1 = 1/3.
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DAVID USED A PHOTO THAT MEASURED 4 INCHES BY 6 INCHES TO MAKE A COPY THAT MEASURED 8 INCHES BY 12 INCHES WHAT IS THE SCALE FACTOR OF THE DILATOPN
A.4
B.2
C. 1/2
D.6
Answer:
2 is the answer
Step-by-step explanation:
What is the product of 212× 7.25?
Answer:
1537
Step-by-step explanation:
212x7.25 =1537