Answer:
[tex]b = 90[/tex]
[tex]d = 100[/tex]
[tex]c = 80[/tex]
Step-by-step explanation:
The problem is asking for the values of the variables [tex]b[/tex], [tex]c[/tex], and [tex]d[/tex] in the given parallelogram with angles [tex]d\textdegree[/tex], [tex]c\textdegree[/tex], [tex](b-10)\textdegree[/tex], and [tex](b+10)\textdegree[/tex].
To solve for these variables, we can construct three equations using the knowledge that any two adjacent angles of a parallelogram are supplementary (their measures add to 180º).
The first equation shows that the top two angles are supplementary:
[tex]d\textdegree + c\textdegree = 180\textdegree[/tex]
The second equation shows that the bottom two angles are supplementary:
[tex](b-10)\textdegree + (b+10)\textdegree = 180\textdegree[/tex]
The third equations shows that the left two angles are supplementary:
[tex]d\textdegree + (b-10)\textdegree = 180\textdegree[/tex]
First, we can solve for [tex]b[/tex] in the second equation using simple algebraic manipulation.
[tex](b-10)\textdegree + (b+10)\textdegree = 180\textdegree[/tex]
[tex](b+b)\textdegree + (10-10)\textdegree = 180\textdegree[/tex]
[tex]2b\textdegree = 180\textdegree[/tex]
[tex]b\textdegree = 90\textdegree[/tex]
[tex]b = 90[/tex]
Using this [tex]b[/tex]-value, we can solve for [tex]d[/tex] by rewriting the third equation, plugging [tex]90[/tex] in for [tex]b[/tex]:
[tex]d\textdegree + (b-10)\textdegree = 180\textdegree[/tex]
[tex]d\textdegree + (90-10)\textdegree = 180\textdegree[/tex]
[tex]d\textdegree + 80\textdegree = 180\textdegree[/tex]
[tex]d\textdegree = 100\textdegree[/tex]
[tex]d = 100[/tex]
Finally, we can solve for [tex]c[/tex] in the first equation by plugging [tex]100[/tex] in for [tex]d[/tex]:
[tex]d\textdegree + c\textdegree = 180\textdegree[/tex]
[tex]100\textdegree + c\textdegree = 180\textdegree[/tex]
[tex]c\textdegree = 80\textdegree[/tex]
[tex]c = 80[/tex]
It is known that the percent of red M&Ms is 35% in each package. Don went to the vending machine and bought a package of M&Ms. In his package he counted 52 MaMs and 18 were red. If 35% is the true parameter then what is the probability that a package of getting no more than 18 out of 52 M&Ms red?
35% in each package is red.
that means nothing else than for every M&M you pick, the probability is 35% (or 0.35) that is is red.
it also means the probability to get anything but red is 1 - 0.35 = 0.65 (65%).
if I understand you correctly, the question is for the probability that there are no more than 18 red M&Ms in a package of 52.
in other words, the probabilty that there are exactly 18, or exactly 17, or exactly 16 ... or exactly 1, or no red M&Ms.
the probability to get exactly 18 red out of 52 is
0.35¹⁸ × 0.65³⁴
for one of the combinations.
and we have C(52, 18) possible combinations :
52! / (18! × (52-18)!) = 52! / (18! × 34!)
18 red = 0.35¹⁸ × 0.65³⁴ × C(52, 18) = 0.115457378...
17 red = 0.35¹⁷ × 0.65³⁵ × C(52, 17) = 0.110273578...
16 red = 0.35¹⁶ × 0.65³⁶ × C(52, 16) = 0.096708177...
15 red = 0.35¹⁵ × 0.65³⁷ × C(52, 15) = 0.077665254...
14 red = 0.35¹⁴ × 0.65³⁸ × C(52, 14) = 0.056935055...
13 red = 0.35¹³ × 0.65³⁹ × C(52, 13) = 0.037956703...
12 red = 0.35¹² × 0.65⁴⁰ × C(52, 12) = 0.022909582...
11 red = 0.35¹¹ × 0.65⁴¹ × C(52, 11) = 0.012452595...
10 red = 0.35¹⁰ × 0.65⁴² × C(52, 10) = 0.006056874...
9 red = 0.35⁹ × 0.65⁴³ × C(52, 9) = 0.002615926...
8 red = 0.35⁸ × 0.65⁴⁴ × C(52, 8) = 0.000993712...
7 red = 0.35⁷ × 0.65⁴⁵ × C(52, 7) = 0.000328083..
6 red = 0.35⁶ × 0.65⁴⁶ × C(52, 6) = 9.271902896e-005
5 red = 0.35⁵ × 0.65⁴⁷ × C(52, 5) = 2.198201902e-005
4 red = 0.35⁴ × 0.65⁴⁸ × C(52, 4) = 4.252473918e-006
3 red = 0.35³ × 0.65⁴⁹ × C(52, 3) = 6.446899235e-007
2 red = 0.35² × 0.65⁵⁰ × C(52, 2) = 7.183687719e-008
1 red = 0.35 × 0.65⁵¹ × C (52, 1) = 5.231817386e-009
0 red = 0.35⁰ × 0.65⁵² × C(52, 0) =
= 0.65⁵² = 1.868506209e-010
the probability to have no more than 18 reds is the sum of all that :
0.540472593...
can someone please help me out on this one, thank you!
Answer: 8 times as long
Step-by-step explanation:
Answer:
I believe it is approx. 8 times longer.
Step-by-step explanation:
2^10 = 1024
2^7 = 128
1024 / 128 = 8
i hope this is right and helps :)
acute ? right ? or obtuse ! Thank youu
Answer:
obtuse
Step-by-step explanation:
it's obvious if it was acute it would be tiny
Help me pleaseeeeeeeee
71
Step-by-step explanation:
that it is not 0 because i am a teacher mrs.brainly so there is the thing
Help pleaseeee NO LINKSSSS
Answer:
Step-by-step explanation:
Radius=r. Diameter=d. C=circumference. A=area
Starting from the center of the circle any line drawn to any point on the circumference of the circle is the radius, if the line is drawn from one point on the circumference to another point on the circumference through the centre of the circle that is the diameter. The circumference of the circle is the perimeter of the circle.
Formulas;
r=d÷2
C=2πr
A=πr²
π=[tex]\frac{22}{7}[/tex] or 3.142
4).
a.)r=d÷2
=4.8cm÷2
=2.4cm
b.)d=4.8cm
c.)C=2πr
=2×3.142×2.4cm
=15.08cm
d.) A=πr²
=3.142×(2.4)²
=3.142×5.76
=18.09cm² or 18.1cm²
5.
a.)r=d÷2
=7÷2
=3.5cm
b.)d=7cm
c.)C=2πr
=2×3.142×3.5
=21.99cm or 21.1cm
d.)A=πr²
=3.142×(3.5)²
=3.142×12.25
=38.49cm²
6.)
a.)r=d÷2
=14÷2
=7cm
b.)d=14cm
c.)C=2πr
=2×3.142×7
=43.99cm
d.)A=πr²
=3.142×(7)²
=3.142×49
=153.96cm²
If you are doing a linear regression, what is the slope of the line predicted by the null hypothesis?
Therefore , the solution of the given problem of slope comes out to be the slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.
Define slope.
The slope-intercept formulation of an equation is used to represent each time the formula of a line is stated as y = mx + b. The line slope is represented by the m. Additionally, b is the b in the y-intercepting point (0, b). For instance, the y-intercept is at (0, 7) and the slope is 3 in
the formula y = 3x - 7.
Here,
The slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.
:
: B not equal to 0
The slope is equal to zero according to the null hypothesis, however the slope is not equal to zero according to the alternative hypothesis.
The alternative hypothesis therefore asserts that the slope is not equal to zero, whereas the null hypothesis asserts that the slope is equal to zero.
Therefore , the solution of the given problem of slope comes out to be the slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.
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On Thursday, a local hamburger shop sold a combined total of 429 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the
number of hamburgers sold. How many hamburgers were sold on Thursday?
hamburgers
Let H be the number of hamburgers sold and C be the number of cheeseburgers sold.
The total number of hamburgers and cheeseburgers sold is given by the equation: H + C = 429
The number of cheeseburgers sold is given by the equation: C = 2H
Substituting the second equation into the first equation, we get: H + 2H = 429
Combining like terms, we get: 3H = 429
Dividing both sides by 3, we get: H = 143
On Thursday, 143 hamburgers were sold.
What is the segment partition formula?
The segment partition formula is used to calculate the coordinates of a point on a line segment, given the coordinates of the two endpoints of the segment and the ratio of the desired point from the first endpoint.
The formula is:
Point = (x1 + r * (x2 - x1), y1 + r * (y2 - y1))
Where x1 and y1 are the coordinates of the first endpoint, x2 and y2 are the coordinates of the second endpoint, and r is the ratio of the desired point from the first endpoint.
The segment partition formula is used to calculate the coordinates of a point on a line segment, given the coordinates of the two endpoints and the ratio of the desired point from the first endpoint. The formula is given in the form of Point = (x1 + r * (x2 - x1), y1 + r * (y2 - y1)).
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In the figure given alongside: O is the centre of circle. If
To
OP AB, write the relation between AP and AB.
plz help
Answer:
[tex]AP = \frac{1}{2} AB \\ AB = 2AP[/tex]
9. A triangle with a height of 12 inches has an area of 36 square inches. How long is the base of the triangle?
If anyone knows this please tell me this is due tommorow!
Answer:
Step-by-step explanation
The triangle base would be 6
solve the inequality and explain how
Answer:
B. (see attached)
Step-by-step explanation:
You want the solution and graph of the inequality |x+3| > 2.
SolutionThe inequality resolves to two inequalities with different domain definitions:
|x +3| > 2
When the argument is negative, (x+3) < 0, this is ...
-(x +3) > 2
-x -3 > 2 . . . . . . eliminate parentheses
x +3 < -2 . . . . . . multiply by -1
x < -5 . . . . . . . . . subtract 3; consistent with the domain definition
When the argument is positive, (x+3) > 0, this is ...
x +3 > 2
x > -1 . . . . . . . . subtract 3
-1 < x . . . . . . . . same thing using the < symbol
These differing solution sets do not overlap, but elements of either set are solutions to the inequality. The appropriate conjunction is "OR":
solution: x < -5 or -1 < x
The graph is attached.
__
Additional comment
We like to use the < or ≤ symbols when expressing the solution to an inequality. That way, the relation of the variable to the boundary value is the same as its relation on a number line. Solution values are left of -5 or right of -1:
x < -5 or -1 < x
It helps provide a check that the graph is properly drawn.
The inequality can be rewritten as ...
|x -(-3)| > 2
which can be interpreted as saying the positive distance from x to -3 is more than 2. This tells you the graph will have two disjoint branches, and the appropriate conjunction is OR.
If the problem were different, and the inequality were ...
|x -(-3)| < 2
it would be telling you the solution values have a distance less than 2 from -3. They will be in one continuous band from -5 to -1, so the appropriate conjunction is AND. The solution in this case is usually written as a compound inequality with no conjunction: -5 < x < -1. (Note the use of < symbols puts the variable value in the middle, between the boundary values, as in graph D.)
Jeremy Earned $33 for four hours of work .how much would he earn for seven hours of work at the same rate
*15 points* will give brainliest
Yazmin is collecting data for her environmental science class. She catalogued all the trees in an acre of the nature preserve. She found 8 oak trees, 4 pecan tree, 2 crepe myrtle trees, and 2 magnolia trees. If the nature preserve covers 280 acres, how many pecan trees are likely to be in the park?
Answer:
maybe 70
Step-by-step explanation:
Please answer! The attachment is here.
Answer:
I think the answer is (a) triangle as if you slice the traingular prism with perpendicular to the base as if we slice it with cross sectionally
Hope it helps
simplify when x=4 3x^3+3
Answer:
The value is 195 When x = 4 in 3x³ + 3.
Step-by-step explanation:
3x³ + 3
Insert 4 for x.
3(4)³ + 3
Cube the 4.
3(64) + 3
Multiply 3 by 64.
192 + 3
Add.
195
Which point is in Quadrant III?
Answer:
B
Step-by-step explanation:
B is in Quadrant III.
B is the answer.
What is the product of 2x 3y )( 2x 3y )? *?
The product of (2x-3y)(2x+3y) is 4x^2-9y^2.
the solution of the question is as follows,
Product = (2x-3y)(2x+3y)
Product =2x(2x+3y)-3y(2x+3y)
Product = 2x(2x)+2x(3y)-3y(2x)-3y(3y)
{using distributive property of multiplication}
Product = 4x^2 +6xy - 6xy -9y^2
solving 6xy-6xy=0,
Product = 4x^2 - 9y^2
4x^2-9y^2 is the product of (2x-3y)(2x+3y).
distributive property of multiplication
This property states that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. The multiplication of (a - b)(a + b) is equal to a^2 - b^2. This result is used as an identity.
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Find the measures of all of the missing angles. FAST!!!
Answer:
angle BCD=58 degree
angle ACD=32 degree
angle DAC=58 degree
angle CDB=90 degree
Step-by-step explanation:
Hope it helps you!!
Plzzzzzzzz helppppp meeeeeeee
What will be the coefficient of XYZ in the product of 2xy 3zx and Y 2z )?
The coefficient of XYZ in the product of 2xy 3zx and Y 2z is 0.
The formula for coefficient is C = a*b, where a and b are the coefficients of the terms being multiplied.
In the given example, the coefficients for the terms being multiplied are 2 for 2xy, 3 for 3zx, and 0 for Y 2z. Since 0 multiplied by any number is 0, the coefficient of XYZ in the product is 0.
Mathematically, this can be expressed as:
C = 2*3*0 = 0
Therefore, the coefficient of XYZ in the product of 2xy 3zx and Y 2z is 0.
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[tex] - \sin( \beta ) \times - \sin( \beta ) [/tex]
Answer:
[tex] - \sin( \beta ) \times - \sin( \beta ) \\ = ( { \sin}^{2} \beta ) \\ = \sqrt{1 - { \cos }^{2} \beta } [/tex]
5-Which of the equłtions represents the circle below?
A) x2 + y² = 12
B) x2 + y2 = 36
o +vy=v12
D) Vx+vy=v6
Answer:
The equator the circle is;
x^2 + y^2 = 36
Step-by-step explanation:
The general equation of a circle is ;
(x-a)^2 + (y-b)^2 = r^2
(a,b) is the center of the circle which is the origin here
The radius is half the distance from edge to edge, passing through the center either in the vertical or horizontal direction
From the center to the edge of the positive x axis bounding the circle, we have 6 units
This would be the same for the left too
So, the diameter of the circle would be 6 + 6 = 12 units
The radius of the circle is half of this which would be 12/2 = 6 units
thus, we have the equation of the circle as;
(x-0)^2 + (y-0)^2 = 6^2
x^2 + y^2 = 36
Fwam went shopping for a new phone. Sales tax where he lives is 9%. The price of the phone is $33. Find the total price including tax. Round to the nearest cent.
Answer:
$35.97
Step-by-step explanation:
33 × .09 = 2.97
33 + 2.97 = $ 35.97
Bonnie's younger brother is 36 inches tall. How many feet tall is Bonnie's younger brother?
Answer:
3 feet
Step-by-step explanation:
There are 12 inches in 1 foot, so 36 inches is equal to (36/12), or 3 feet.
Answer:
3
Step-by-step explanation:
take 36 and divide it by 12 because there are 12 inches in a foot.
12, 24, 36, 48.
12x3 is 36 or 36/12 is 3
Find the Vertex when x=-2
options:
(-2,-10)
(-2,6)
(-2,-6)
(-2,-34)
Answer:
(--2, 6)
Step-by-step explanation:
Plugging -2 into the equation, you get -2(-2)^2-4(-2)-10 which is 6. This makes the coordinate (-2,6)
What do 7th graders learn in math?
In 7th grade math, students learn basic algebra, ratios and proportions, geometry, graphing, probability, equation and statistics.
In 7th grade math, students typically learn basic algebraic principles, including linear equations, variables, and functions. They also learn about ratios, proportions, and percents. Geometry is typically introduced, with topics such as angles, lines, triangles, and circles. Additionally, students may be taught more advanced topics such as graphing, probability, and statistics.In 7th grade math, students learn basic algebra, ratios and proportions, geometry, graphing, probability, and statistics.
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How many solutions does 5x 2 7x 4 0 have?
The given equation gives two solution. We can find solution by using quadratic formula or discriminant.
How do you find the number of solutions?A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R. So a and b ≠ 0. When we consider a system of linear equations we can find the number of solutions by comparing the coefficients of the variables of the equations.
How do you find how many solutions are in a quadratic equation?
if the discriminant is positive. Then the quadratic equation has two solutions.
if the discriminant is equal. Then the quadratic equation has one solution.
if the discriminant is negative. Then the quadratic equation has no solution.
Here we have
a=5 b=-7 c=4
Disc= [tex]b^2[/tex]-4ac
Disc= [tex](-7)^2[/tex]-4(5)(4)
Disc= 49+80
=129
Disc >0 it has two solutions.
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Complete question is: How many solutions are there for 5x^2+7x-4=0?
a) 0
b) 1
c) 2
d) 3
What is the volume of the cone in the diagram?
Answer:
A
Step-by-step explanation:
just did it on edmentum .
Select the correct answer from each drop-down menu.
A certain distribution has a mean value of 100 and a standard distribution of 15,
Assuming the values are distributed normally, 95% of values will fall between
and
Answer:
70, 130
Step-by-step explanation:
Just took the Mastery test on PLATO and this answer was correct.
f(x)=3^√x-1
Find f(27) and f(-343)
need to find cube root
On solving the provided question, we can say that - the value of the cube root is 19683 = 27
what is cube root?In mathematics, y3 = x since the cube root of a number x equals a number y. Each non-zero real integer has precisely one real cube root, one set of complex conjugate cube roots, and three different complex cube roots. When a number is multiplied three times, the result is the cube root of that number. Three cube roots, the final cube root, is the symbol for the cube root. The opposite of cubing an integer is finding the cube root of that number. Prime factorization is a fairly straightforward technique that may be used to get a number's cube root. The sign stands for a cube root.
here,
we have f(27)
cube will be [tex]( 27 )^3[/tex] = 19683
and f(-343) = -7
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