Answer:
Step-by-step explanation:
Solve the system using elimination 2x+3y=18 5x-y=11
Answer:
7x-4y=29
Step-by-step explanation:
the answer should be that's it
M&M plain candies have a normally distributed weight with a mean of 0.8565 g and a standard
deviation of 0.0518 g. If 465 M&M plain candies are randomly selected, find the probability that
their mean weight is at least 0.8535 g each.
Answer:
0.89417
Step-by-step explanation:
Using the relation to obtain the Zscore :
Z = (x - mean) ÷ standard deviation / sqrt(n)
x = 0.8535
Mean = 0.8565
Standard deviation = 0.0518
Sample size, n = 465
P(x ≤ 0.8535) = (0.8535 - 0.8565) ÷ 0.0518/sqrt(465)
P(x ≥ 0.8535) = - 0.003 / 0.0024021
P(x ≥ 0.8535) = - 1.249
P(Z ≥ - 1.249) = 0.89417
can you make two triangles that are not congruent that have three pairs of congruent angles?
if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.
No, it is not possible to make two triangles that are not congruent and have three pairs of congruent angles. This is because if two angles of a triangle are congruent, then the third angle must also be congruent by the Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees. If two triangles have three pairs of congruent angles, then all three angles in each triangle are congruent, meaning they have the same measure. However, this does not guarantee that the sides of the triangles are congruent. In order for two triangles to be congruent, they must have the same angle measures as well as the same side lengths. Therefore, if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.
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Write the standard form of the equation of the line trough the given point with the given slope.
Step-by-step explanation:
we use the point-slope approach :
y - y1 = m(x - x1)
m is the slope, and (x1, y1) is a point on the line.
so,
1.
y - 2 = 7(x - 1) = 7x - 7
y = 7x - 5
2.
y - -1 = -1×(x - 3) = -x + 3
y + 1 = -x + 3
y = -x + 2
3.
y - 5 = -4(x - -2) = -4x - 8 (3x a "-" is a "-" for 8)
y = -4x - 3
4.
y - 5 = 5/3 × (x - 3) = 5x/3 - 5
y = 5x/3 or 5/3 × x
Answer:
1. \(7x-y=5\)
2. \(x+y=2\)
3. \(4x+y=-3\)
4. \(5x-3y=0\)
Step-by-step explanation:
Since we already know the slope and the coordinates of one point, first use the point-slope form to create an equation.
\(y-k=m(x-h)\)
\(y-2=7(x-1)\)
\(y-2=7x-7\)
\(7x-y=5\)
\(y+1=-1(x-3)\)
\(y+1=-x+3\)
\(x+y=2\)
\(y-5=-4(x+2)\)
\(y-5=-4x-8\)
\(4x+y=-3\)
\(y-5=\frac{5}{3} (x-3)\)
\(y-5=\frac{5}{3}x-5\)
\(3y-15=5x-15\)
\(5x-3y=0\)
Need help with this equation . Asap
The measure of segments mAG, mAC, and mBC are 11.4, 16.1 and 7.1 respectively,
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
Apply Pythagoras theorem in triangle ABG,
mAG = √[7² + 9²]
mAG = √[49 + 81]
mAG = √[130] = 11.4
Apply Pythagoras theorem in triangle BGC,
mBC = √[10² - 7²]
mBC = √51
mBC = 7.1
Now
mAC = mAB + mBC
mAC = 9 + 7.1
mAC = 16.1
Thus, the segments mAG, mAC, and mBC have measures of 11.4, 11.1, and 7.1, respectively.
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The sum of two The perimeter of a rectangle is 30cm. If the length is 3 cm longer than the width, find
the rectangle’s dimensions.
Answer:
Width: 6 cm
Length: 9 cm
Step-by-step explanation:
Width: x
Length: x + 3
2(x)+2(x+3) = 30cm
2x + 2x + 6 = 30
4x = 30-6
x = 24/4
x = 6
3/8 divided by 2/3 PLEASE PUT IN FRACTION FORM
Answer:
\(\frac{9}{16}\)
Step-by-step explanation:
\(\frac{3}{8} / \frac{2}{3} = \frac{9}{16}\)
(/ = dived by)
The division of 3/8 by 2/3 is 9/16.
What is Fraction?Every fraction has a numerator and a denominator separated by a horizontal bar known as the fractional bar.
The denominator represents the number of components into which the whole has been subdivided. It is positioned below the fractional bar in the lower section of the fraction.The numerator specifies how many fractional parts are depicted or selected. It is positioned above the fractional bar in the upper section of the fraction.We have to divide 3/8 by 2/3
So, 3/8 ÷ 2/3
As, instead of division we proceed with multiplication as
3/8 x 3/2
= 9/ 16
So, the required fraction is 9/16.
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The coordinates of the endpoints of CE are C(-3, -7) and E(7,-2). Point M(3,-4) is in CE. What is the ratio of CM:ME
Answer:
3:2
Step-by-step explanation:
The ratio of CM to ME is the ratio of lengths of the two segments. Segment length is the square root of the sum of the squares of the differences of each coordinate direction. For CM the difference of the x direction is
( -3-(+6) or -6 and the y direction (-7-(-4)) or 3. Squaring each: -6^2 = 36 and 3^2 = 9. The sum is 45 and the square root of 45 is 3 (5) ^1/2 by removal of the perfect squares. For ME the x direction is 3 - (+7) = -4 and for the y direction is -4 - (-2) = 2. Squaring each is -4^2 = 16 and 2^2 = 4. The sum is 20. The square rot of 20 is 2 (5) ^1/2. The ratio is 3 (5)^ 1/2 : 2 (5) ^1/2 . Since the square root of five is in both parts it can be removed. Thus the ratio becomes 3 : 2.
Given sin
=
=
V23 and tan o
find cos 0.
23
11 )
12
?
COS 0 =
TO
Answer: \(\frac{11}{12}\)
Step-by-step explanation:
Use trigonometry (shown in image below) to find the 3 side-lengths:
The side opposite of θ = \(\sqrt{23}\)The base side adjacent to θ = 11The hypotenuse = 12According to right triangle trigonometry:
cos θ = \(\frac{adjacent}{hypotenuse}\)
Substitute in the values:
cos θ = \(\frac{11}{12}\)
7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 and 18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = { vt ++3 dt Jo Answer 8. g(x) = {* In (1+tº) dt
By using Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is ln(sqrt(x + x^3)). The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is ln(1 + x^2).
The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.
So, applying this theorem, we have:
g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]
= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)
= ln(sqrt(x + x^3))
Therefore, g'(x) = ln(sqrt(x + x^3)).
Using the Fundamental Theorem of Calculus, we have:
g'(x) = d/dx [∫1_x ln(1 + t^2) dt]
= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)
= ln(1 + x^2)
Therefore, g'(x) = ln(1 + x^2).
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____The given question is incomplete, the complete question is given below:
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0. 8. g(x) = { In (1+t^2) dt} where limit are from x to 1.
1. Solve 4x + 5 > 5x – 2 for x.
Greetings.
By solving an Inequality is almost the same as solving an equation.
We simply move x-term to the same term and the number or rather a constant to the same side.
\(4x - 5x > - 2 - 5 \\ - x > - 7\)
A quick reminder. If the coefficient for the variable that we want to solve is in negative. For Inequality, moving the negative coefficient for the variable to another side will force the Inequality sign to swap to opposite.
\(x < \frac{ - 7}{ - 1} \\ x < 7\)
Given the triangle below,what is the length of the hypotenuse
how many metres of wire is needed to fence a circular pond of radius 7.7m if the fence is to have three strands of wire all the way around .Give your answer correct to one decimal place. (Take pi is 3.14)
Find the circumference of the pond:
Circumference = 2 x pi x radius
Circumference = 2 x 3.14 x 7.7 = 48.356 m
You want to go around 3 times so multiply the circumference by 3:
48.356 x 3 = 145.068m
Rounded to 1 decimal = 145.1m
(c) find the area of the pentagon with vertices (0, 0), (3, 1), (1, 2), (0, 1), and (−2, 1).
The area of the pentagon with vertices (0, 0), (3, 1), (1, 2), (0, 1), and (-2, 1) is 6 square units.
To find the area of a pentagon given its vertices, we can divide it into triangles and then calculate the area of each triangle separately.
Let's label the given vertices as A(0, 0), B(3, 1), C(1, 2), D(0, 1), and E(-2, 1). We can divide the pentagon into three triangles: ABD, BCD, and CDE.
To calculate the area of a triangle, we can use the shoelace formula. Let's apply it to each triangle:
Triangle ABD: Coordinates: A(0, 0), B(3, 1), D(0, 1)
Area(ABD) = |(0 * 1 + 3 * 1 + 0 * 0) - (0 * 3 + 1 * 0 + 1 * 0)| / 2
= |(0 + 3 + 0) - (0 + 0 + 0)| / 2
= |3 - 0| / 2
= 3 / 2
= 1.5 square units
Triangle BCD: Coordinates: B(3, 1), C(1, 2), D(0, 1)
Area(BCD) = |(3 * 2 + 1 * 0 + 0 * 1) - (1 * 1 + 2 * 0 + 3 * 0)| / 2
= |(6 + 0 + 0) - (1 + 0 + 0)| / 2
= |6 - 1| / 2
= 5 / 2
= 2.5 square units
Triangle CDE: Coordinates: C(1, 2), D(0, 1), E(-2, 1)
Area(CDE) = |(1 * 1 + 2 * 1 + (-2) * 0) - (2 * 0 + 1 * (-2) + 1 * 1)| / 2
= |(1 + 2 + 0) - (0 - 2 + 1)| / 2
= |3 - (-1)| / 2
= 4 / 2
= 2 square units
Now, we can sum up the areas of the three triangles to find the total area of the pentagon:
Total area = Area(ABD) + Area(BCD) + Area(CDE)
= 1.5 + 2.5 + 2
= 6 square units
Therefore, the area of the pentagon with vertices (0, 0), (3, 1), (1, 2), (0, 1), and (-2, 1) is 6 square units.
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if the marginal propensity to consume is 0.65, the spending multiplier is: 4. 1.33. 1.54. 2.86.
In conclusion the correct solution is 1.54 as the spending multiplier.
The spending multiplier is a measure of the impact of changes in spending on overall economic output. It represents the amount by which a change in spending is multiplied throughout the economy. In this case, the question provides a marginal propensity to consume (MPC) of 0.65.
The MPC represents the portion of additional income that individuals choose to spend rather than save. Since the MPC is 0.65, it means that for every additional dollar earned, individuals will spend 65 cents and save the remaining 35 cents.
To calculate the spending multiplier, we take the reciprocal of the MPC. In this case, the reciprocal of 0.65 is approximately 1.54. This means that a change in spending of $1 will result in a total change in economic output of approximately $1.54.
For example, if there is an increase in government spending by $100 million, the total impact on the economy will be approximately $154 million. This is because the initial increase in spending will lead to additional income for individuals, who in turn will spend a portion of that income, leading to further rounds of spending and economic activity.
Therefore, the correct answer is 1.54 as the spending multiplier.
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Find the area of the rectangle ABCD with vertices A(-4, 4), B(1, 4), C(-4, 1) and D(1,1).
The area of the rectangle ABCD is approximately 29.15 square units.
To find the area of the rectangle ABCD, we can use the formula for the area of a rectangle, which is given by the product of its length and width.
Let's first find the length and width of the rectangle using the coordinates of its vertices.
Length AB = distance between points A and B
= √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(1 - (-4))² + (4 - 4)²]
= √[5² + 0²]
= √25
= 5
Width BC = distance between points B and C
= √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-4 - 1)² + (1 - 4)²]
= √[(-5)² + (-3)²]
= √[25 + 9]
= √34
Now that we have the length and width, we can calculate the area of the rectangle.
Area = Length × Width
= 5 × √34
≈ 5 × 5.83
≈ 29.15 square units
Therefore, the area of the rectangle ABCD is approximately 29.15 square units.
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A boat is heading towards a lighthouse, whose beacon-light is 140 feet above the water. The boat's crew measures the angle of elevation to the beacon, 1o. What is the ship's horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest tenth of a foot if necessary.
see the figure below to better understand the problem
we have that
tan(10∘)=140/x -----> by TOA
solve for x
x=140/tan(10∘)
x=794 ft
therefore
The answer is 794 feet
What is the absolute value of -11
Answer:
11
Step-by-step explanation:
11
since it asks the absolute value of -11 it
will be 11 because in absolute value-for negatives it always positive.
Answer:
see attached
Step-by-step explanation:
fill the blank! the​ chi-square distribution provides a good approximation to the sampling distribution of the​ chi-square statistic if the expected frequency in each cell is _____
The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic if the expected frequency in each cell is at least 5. This rule of thumb ensures that the test statistic is more likely to follow a chi-square distribution.
The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic if the expected frequency in each cell is at least 5. This is known as the "rule of thumb" for the chi-square test of independence. It ensures that the distribution is not too skewed or too flat, and that the test statistic is more likely to follow a chi-square distribution. When the expected frequency in any cell is less than 5, the chi-square test may not be appropriate, and alternative tests such as Fisher's exact test should be used instead.
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Complete question:
The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic if the expected frequency in each cell is _____
Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the hleadphones
Define the variable:
Inequality:
Solution:
Answer:
15 cars
Step-by-step explanation:
240-30=210
210/14=15 cars
Answer:
13 it's 13 its 13 its 13 its 13 its 13
Find the Area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed. Round to the nearest tenths place.
I need help, please
Answer:
so you multiply the 13 by 12. Then divid 12 by 2 to get 6 as the radius then use a calculator and type in 2(PIE SYMBOL) R. R=radius then whatever number you get cut it in half then subtract it from 13x12.
A line has a slope of 8 and a y-intercept of 5. What is its equation in slope -intercept form?
Answer:
y = 8x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 8 and c = 5
y = 8x + 5 ← equation of line
A space probe near Neptune communicates with Earth using bit strings. Suppose that in its transmissions it sends a 1 one-third of the time and a 0 two-thirds of the time. When a 0 is sent, the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 1) is 0.2. When a 1 is sent the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 0) is 0.2.
Find the probability that a 0 is received. (Enter the value of the probability in decimal format and round the final answer to one decimal place.)
P(0 received correctly) = P(0 sent) × P(0 received correctly | 0 sent)= \((2/3) × 0.8= 0.5333\) (rounded to 1 decimal place)Thus, the probability that a 0 is received is 0.5333 (rounded to 1 decimal place).
0.5333
A space probe near Neptune communicates with Earth using bit strings. Suppose that in its transmissions it sends a 1 one-third of the time and a 0 two-thirds of the time. When a 0 is sent, the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 1) is 0.2. When a 1 is sent the probability that it is received correctly is 0.8 and the probability that it is received incorrectly (as a 0) is 0.2.The probability that a 0 is received correctly is given in the problem as 0.8, and the probability that a 0 is sent is 2/3. Therefore, the probability that a 0 is received correctly
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i need help with this im not very good at math.
Answer:
p = 10.9
Step-by-step explanation:
A bakery sells 8 cupcakes for $27.76. If each cupcake costs the same amount, how much would ONE cupcake cost?
Answer: $3.47
Step-by-step explanation:
27.76/ 8
If you answer correctly the first one will get brainliest so plz answer correctly Which process in photosynthesis uses energy from the sun?(1 point) A splitting water into hydrogen and oxygen B combining carbon dioxide and hydrogen C absorbing carbon dioxide D releasing oxygen
Answer: A. splitting water into hydrogen and oxygen
Step-by-step explanation:
Photosynthesis is the process by which plants produce glucose by reacting carbon dioxide and water in the presence of sunlight. Chlorophyll which gives the plant its green color, traps sunlight and uses it to split water molecules into their constituent molecules of hydrogen and oxygen.
Glucose is then synthesized from these molecules and used in respiration to release energy for the plant.
A, splitting water into hydrogen
A bushel of apples weight about 42 pound lthere are four packs in a bushel it takes 2 lb of apples to make one pie how much pie can you make with one pack of apples
We can make 5 pies with one pack of apples as the number of pies should be an integer.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A bushel of apples weighs about 42 pounds and there are four packs in a bushel.
So, The weight of one pack of apples is (42/4) = 10.5 pounds.
Now, It takes 2 pounds of apples to make one pie,
Therefore, We can make (10.5/2) = 5.25 pies but we can only make 5 pie from one pack of apples.
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QUICk whoever gets the correct answer gets brainliest
Answer:
1/5
Step-by-step explanation:
HELP ! How long is segment AB ?
Answer:
square root of (2+10)²+(-5+3)²
square root of 144+4
square root of 148
f(x)=2x 2 +9x {Find }f(10) Find f(10)
Answer:Answer:
d=√
−2x2+y
900f4i2n2x
or d=−√
−2x2+y
900f4i2n
Step-by-step explanation:
Let's solve for d.
y=2x2+9xfindf(10)findf(10)
Step 1: Flip the equation.
900d2f4i2n2x+2x2=y
Step 2: Add -2x^2 to both sides.
900d2f4i2n2x+2x2+−2x2=y+−2x2
900d2f4i2n2x=−2x2+y
Step 3: Divide both sides by 900f^4i^2n^2x.
900d2f4i2n2x
900f4i2n2x
=
−2x2+y
900f4i2n2x
d2=
−2x2+y
900f4i2n2x
Step 4: Take square root.
d=√
−2x2+y
900f4i2n2x
or d=−√
−2x2+y
900f4i2n2x
2x
Answer:
d=√
−2x2+y
900f4i2n2x
or d=−√
−2x2+y
900f4i2n
The value of f(10) for function f(x) = 2x² + 9x is 290.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given function is,
f(x) = 2x² + 9x (1)
To find the value of f(10),
Substitute x = 10,
f(10) = 2(10)² + 9(10)
f(10) = 2 x 100 + 90
f(10) = 200 + 90
f(10) = 290
The required value of f (10) is 290.
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