Answers
Related Questions
Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. the probabilities corresponding to the 14 possible values of x are summarized in the given table. find the probability of selecting exactly 4 girls..
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P(X = k) = (nCk) p^k (1–p)^(n-k)
So, P(X = 0) = (14C0) • 0.5^0 • (1–0.5)^(14-0) = 0.000
P(X = 1) = (14C1) • 0.5^1 • (1–0.5)^(14–1) = 0.001
And so on.
Thus, P(X = 4) = (14C4) • 0.5^(4 • (1–0.5)^(14–4) = 0.061
So the probability of selecting exactly 4 girls is 0.061.
Answer:
0.061
Step-by-step explanation:
Find the GCF of the following monomials -50m^4n^7 and 40m^2 n^10
Answers
The GCF is -10m^2 n^7.
Answer:
the correct answer for this problem is,
the GCF is,
10m^2 n^7
:)
How can you decompose the composite figure to determine its area?
Answers
In order to find the area of the given figure we have to decompose into geometrical figures whose area could be easily calculated by the use of the mathematical formulas we know.
Hence, we decompose it into:
1 semicircle. 2 trapezoids with one common base. 1 rectangle.The decomposition could be seen with the help of diagram attached to the answer.
Answer:
as two semicircles and a rectangle
Step-by-step explanation:
the difference between the measures of two complementary angles is 46. determine the measures of the two angles?
Answers
x - (90- x) = 46
x - 90 + x = 46
2x = 46 + 90 = 136
x = 136/2 = 68
x = 68 degrees and its complement = 22 degrees
Final answer:
To determine the measures of two complementary angles with a 46-degree difference, you can set up an equation and solve for the angles, resulting in approximately 22.0 degrees and 68.0 degrees.
Explanation:
Complementary angles are two angles that add up to 90 degrees. If the difference between them is 46 degrees, we can set up an equation to find their measures:
Let one angle be x. The other angle would then be 90 - x.
Given that the difference between them is 46, we have the equation: 90 - x - x = 46.
Solving the equation, the angles are approximately 22.0 degrees and 68.0 degrees.
PLEASE HELP ME!
At rugby practice, a group of 8 players stands in a circle and throws the ball from one person to the next. another player is trying to run faster than the ball moves around the circle as it is thrown from one player to the next. After 24 throws, the runner is right next to the ball. If the radius of the circle is 9yd, how many yards has the runner traveled? round your answer to the nearest tenth
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Final answer:
The runner traveled approximately 45.1 yards around the circle during 24 throws at rugby practice.
Explanation:
The runner traveled approximately 45.1 yards.
To solve this, we can consider the circumference of the circle formed by the players, which is 2π times the radius. After 24 throws, the runner would have traveled a distance equivalent to 24 times the circumference of the circle.
So, the total distance the runner traveled would be 24 * (2π * 9) = 24 * 56.5487 = approximately 1357.2yd. Rounding to the nearest tenth, the runner traveled approximately 45.1 yards.
Aidan has a lemonade stand. He spent $4.55 on supplies to make lemonade and $8.45 on supplies to make cookies. At his lemonade stand, he sold 23 cups of lemonade for $0.50 each and 17 cookies for $0.50 each. What were Ayden's profits that day
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A cone is 10 inches tall and has a radius of 3 inches. What is the cone’s volume?
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So the volume is ⅓ π×9×10=30 π=94.25 cu in approximately.
94.25 is the cone’s volume according to the given information.
What is volume?Volume is a measurement of three-dimensional space that is inhabited. It is frequently expressed quantitatively utilizing SI-derived units, as well as several imperial or US-standard units. Volume and the of length are connected.
The space covered inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the material's potential.
Area of the base is πr² where r is the radius.
Area of the base = πr²
The volume of a cone is ⅓ πr²h where h is the height.
The volume of the cone = ⅓ πr²
The cone and circle will be treated in the same equation
So the volume is
= ⅓ π×9×10
=30 π
= 94.25 approximately.
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SIMPLIFY THIS EQUATION!
a³ b¹⁰
------
a² b²
Answers
-------
a²b²
a³ - a² AND b¹⁰ - b²
Simplify.
a AND b⁸
So, our answer is ab⁸
~Hope I helped!~
Find the value of x if C is the midpoint of AB, AC=4x+5, and AB=78
Answers
I hope this helps
Given that AC = 4x+5, and C is the midpoint of AB, meaning AC = CB, then AB = 2*(4x+5). Given that AB = 78, we can solve the equation 8x + 10 = 78 to find x = 8.5.
Explanation:The subject matter of this question is geometry, specifically concerning line segments and midpoints. If C is the midpoint of AB, then segments AC and CB are equal. This is a fundamental characteristic of midpoints.
Since AC = 4x + 5 and CB = AC, it also means that CB = 4x + 5. This implies that the total length of AB (which is the sum of AC and CB) equals 2 * (4x + 5). Therefore, AB equals 8x + 10.
We are given that AB = 78. So, we can set up and solve the equation 8x + 10 = 78. Subtracting 10 from both sides of the equation gives us 8x = 68. Dividing each side by 8 gives us x = 8.5. Therefore, the value of x that satisfies the given conditions is 8.5.
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please help
What is the value for X?
- 24
-9
-21
-14
what is the measure of <1?
- 45
- 60
- 120
-125
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Answer:
x = 21∠1 = 120°Step-by-step explanation:
The two interior same-side angles are supplementary, so ...
... (5x +15)° +(3x -3)° = 180°
... 8x +12 = 180 . . . . . . . . . divide by °, collect terms
... 8x = 168 . . . . . . . . . . . . subtract 12
... x = 21 . . . . . . . . . . . . . . . divide by 8
Obtuse ∠1 has the same measure as its corresponding angle, (5x+15)°, so is ...
... ∠1 = (5·21 +15)° = 120°
You commute to work by riding a bus each day for $4.25 round trip. a weekly pass is available for $19.75 a week. if you work 5 days a week, how much can you save by buying the pass? $2.00 $1.75 $1.50 $1.25
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Answer:
it's $1.50
Step-by-step explanation:
Can anybody help me please?
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simplify i^31 (click photo for options)
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The required solution of i^31 is -i.
What is simplification?Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.
Now the given expression is,
i^31
This can be written as,
= i^(30+1)
or, we can express it as,
= i^30 . i
or, we can write,
= (i^2)^15 . i
Since i^2 = -1
Therefore we can write,
= (-1)^15 . i
Again since, (-1)^15 = -1
Thus,
i^31 = -i
which is the required solution of the given expression.
Thus, the required solution of i^31 is -i.
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Draw the graph of a rational function that is increasing for x<-4 and decreasing for x>-4 on the coordinate plane below
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ΔRST is dilated about the origin, O, to create ΔR'S'T'. Point R is located at (3, 9), and point R' is located at (1.2, 3.6). Which scale factor was used to perform the dilation?
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(3,9)....to (1.2,3.6)
so what are we gonna multiply 3 by to get to 1.2 ? And what are we gonna multiply 9 by to get to 3.6 ? It should be the same number
3x = 1.2 9x = 3.6
x = 1.2/3 x = 3.6 / 9
x = 0.4 x = 0.4
so 3 * 0.4 = 1.2
and 9 * 0.4 = 3.6
so ur scale factor is 0.4 or 2/5
Answer:
a scale factor is a number that u multiply one set of points by to get to the other set
Step-by-step explanation:
A wildlife biologist is interested in the relationship between the number of chirps per minute for crickets (y) and temperature. based on the collected data, the least-squares regression line is y x ˆ = + 10.53 3.41 , where x is the number of degrees fahrenheit by which the temperature exceeds 50°. give a sentence that describes the meaning of the slope of the least-squares regression line
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Final answer:
The slope of 3.41 in the least-squares regression line y = 10.53 + 3.41x indicates that for every one degree Fahrenheit increase in temperature above 50°, the number of cricket chirps per minute is expected to increase by an average of 3.41 chirps.
Explanation:
The slope of the least-squares regression line in the relationship between the number of chirps per minute for crickets (y) and temperature is 3.41. This number represents the average increase in the number of chirp per minute for every degree Fahrenheit that the temperature is above 50°. Therefore, if the temperature increases by one degree Fahrenheit, the expected number of cricket chirps per minute increases by an average of 3.41 chirps.
The slope of the least-squares regression line, which is 3.41, indicates that for every degree Fahrenheit the temperature exceeds 50°, the number of chirps per minute for crickets increases by 3.41 chirps.
In a linear regression equation of the form y = a + bx, the slope (b) represents the change in the dependent variable (y) for a one-unit change in the independent variable (x).
In this context, the slope (b) is 3.41, which means that for each additional degree Fahrenheit above 50°, the model predicts an increase of 3.41 chirps per minute by the crickets.
The intercept of the regression line is 10.53, which represents the baseline number of chirps per minute when the temperature is exactly 50°F.
The complete question is:
A wildlife biologist is interested in the relationship between the number of chirps per minute for crickets (y) and temperature. Based on the collected data, the least-squares regression line is yˆ = 10.53 + 3.41x, where x is the number of degrees Fahrenheit by which the temperature exceeds 50°. Give a sentence that describes the meaning of the slope of the least-squares regression line.
Which phrase describes the variable expression y-5
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a number y is decreased by 5
i hope this helps!!
If an experiment consists of five outcomes with p(o1) = 0.10, p(o2) = 0.20, p(o3) = 0.30, p(o4) = 0.25, then p(o5) is
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35% of it is 5.5% of 56
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35% x 5.5%= 0.01925
0.01925 x 56= 1.078
On the side note: The word of means multiply
Hope this helps
~Top
Answer:
8.8
Step-by-step explanation:
What is 4x-7xy+9xy-7pq
Answers
___________________________________
Explanation:
___________________________________
Given: " 4x - 7xy + 9xy - 7pq " ; Simplify the expression;
___________________________________
Combine the "like terms:
___________________________________
-7xy + 9xy = 2xy ;
___________________________________
Now, rerewrite the expression, substituting the "-7xy + 9xy"; with " + 2xy" ;
___________________________________
→ " 4x + 2xy - 7pq " .
___________________________________
Polygons ABCD and A′B′C′D′ are shown on the coordinate grid:
What set of transformations is performed on ABCD to form A′B′C′D′?
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Consider the graph of the quadratic function y = 2x2 – 4x + 2. How many zeros does the graph have?
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y = 2(x^2 - 2x + 1)
2(x - 1)^2 = = 0
so the graph will just touch the x axis at x = 1
So there is one zero duplicity 2.
The graph has:
One zero with multiplicity 2.
Step-by-step explanation:We are given a quadratic function in terms of the variable x as:
[tex]y=2x^2-4x+2[/tex]
The number of zeros of this function is equal to the number of points where the graph of this quadratic function intersects the x axis and the corresponding value of x is the root of this quadratic equation.
Hence, after plotting the graph of this quadratic function we observe that the graph meets the x-axis at just one point.
Hence, the number of zeros of the graph is:
One.
What is the measure of angle Y?
Round your answer to the nearest degree
24
26
69
61
Answers
Answer:
I just took the test the answer is indeed 24
Step-by-step explanation:
Which of the following is true for the relation f(x) = 3x2 + 5?
Only the inverse is a function.
Neither the equation nor its inverse is a function.
Only the equation is a function.
Both the equation and its inverse are functions.
Answers
Let's find the inverse of y = 3.x²+5
x= 3.y²+5 → 3.y² = x-5 and y²= (x-5)/3 and y = √[(x-5)/3]
Hence the inverse of f(x) which is f⁻¹(x) =√[(x-5)/3] is NOT a function
Only the inverse is a function.WRONG
Neither the equation nor its inverse is a function.WRONG
Only the equation is a function.RIGHT
Both the equation and its inverse are functions.WRONG
4 puzzle time how can you share five apples with seven friends answers
Answers
Identify the algebraic properties of equality that are represented.
1.
Given
If [tex]a=b[/tex], then [tex]a\cdot c=b\cdot c, c\neq0[/tex]
The algebraic property of equality that is represented by the above expression is the multiplication property.
2.
Given
If [tex]a=b[/tex], then [tex]a- c=b- c,[/tex]
The algebraic property of equality that is represented by the above expression is the subtraction property.
3.
Given
If a = b, then a can be substituted for b (or b for a) in any equation or expression.
The algebraic property of equality that is represented by the above expression is the substitution property.
4.
Given
If [tex]a=b[/tex], then [tex] \frac{a}{c} = \frac{b}{c},\ c\neq0[/tex].
The algebraic property of equality that is represented by the above expression is the division property.
5.
Given
If [tex]a=b[/tex], then [tex]a+ c=b+ c,[/tex]
The algebraic property of equality that is represented by the above expression is the addition property.
6.
Given
sum: [tex]a(b+c)=ab+ac[/tex],
difference: [tex]a(b-c)=ab-ac[/tex]
The algebraic property of equality that is represented by the above expression is the distributive property.
7.
Given
If a = b and b = c, then a = c. If AB = CD and CD = EF, then AB = EF. If m<A = m<B and m<B = m<C, then m<A = m<C.
The algebraic property of equality that are represented by the above expression is the transitive property.
8.
Given
If a = b, then b = a. If AB = CD, then CD = AB. If m<A = m<B, then m<B = m<A.
The algebraic property of equality that are represented by the above expression is the symmetric property.
9.
Given
a = a, AB = AB, m<A = m<A
The algebraic property of equality that are represented by the above expression is the refrexive property.
10.
Given
If x = y, then 6x = 6y.
The algebraic property of equality that are represented by the above expression is the multiplication property.
11.
Given
If AB = BC, then AB - 2 = BC - 2.
The algebraic property of equality that are represented by the above expression is the subtraction property.
12.
Given
m<A = m<A
The algebraic property of equality that are represented by the above expression is the refrexive property.
13.
Given
If AB = CD and CD = 6, then AB = 6
The algebraic property of equality that are represented by the above expression is the transitive property.
14.
Given
If a = b, then b = a.
The algebraic property of equality that are represented by the above expression is the symmetric property.
If g(x) = 3x − 4, what is the value of g−1(g(13))?
A. 17/3
B. 35
C. x+4/3
D. 13
Answers
Because we have an inverse, this means we can use the rule
[tex]g^{-1}(g(x)) = x[/tex]
Replace x with 13
[tex]g^{-1}(g(x)) = x[/tex]
[tex]g^{-1}(g(13)) = 13[/tex]
The answer is choice D
Write 6.0126.012 as a mixed number in simplest form
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Marvin reflected this trapezoid over a line, but only 2 of the vertices changed position. Which line could Marvin have used for the reflection?
Answers
On Day 16, Ebony deposited $100 into her account. On each day after Day 16, segment 5, Ebony made a deposit, and those deposits were equal to each other.
Answers
Step-by-step explanation:
The estimated end total is $300 and the beginning was $0, so after day 16, she'll deposit $40 each day.
MATH HELP WILL MARK BRAINLIEST !!!!!!!!
Answers
1. sum of a number plus 6 is 7 times the number:
n+6 = 7n
2. qoutent of a number and 5 is 8
n/5 =8
n = 5*8
n = 40
3. distance = speed times time
so d = 55t