Final answer:
The probability that the first two names chosen will both be girls from a hat that contains the names of nine boys and six girls is 1/7.
Explanation:
The question involves determining the probability of selecting two girls' names from a hat that contains the names of nine boys and six girls. We are dealing with a situation of probability without replacement, which means that once a name is drawn, it is not put back into the hat.
To calculate the probability of the first name drawn being a girl, we have 6 girls out of the total 15 students, which gives us a probability of 6/15. If a girl's name is drawn first, there will then be 5 girls' names left and 14 names total. So, the probability of the second name drawn being a girl as well is then 5/14.
To find the overall probability of both events happening, we multiply the two probabilities together: (6/15)
x (5/14) = 30/210 = 1/7. Therefore, the probability that the first two names chosen will both be girls is 1/7.
Which correlation coefficient represents a moderate negative correlation? r = –0.04 r = –0.24 r = –0.64 r = –0.94
The correlation coefficient is a number that indicates the direction
and closeness of points of a line of best of fit.
So it tells us two things.
It tells us the direction of the line of best fit
and it tells us the closeness of the points.
Usually, anything between -0.9 and -0.6 has a moderate negative correlation. If you look at this on a graph, you will notice that the points definitely resemble a line so we say it's moderate.
It will be a negative correlation because the slope is negative.
Answer:
c. r = –0.64
Step-by-step explanation:
edgu 2020
Need help figuring this out!
Answer:
1. 10 + 10 + 10 = 30
2. 5 + 5 + 10 = 20
3. 4 + 4 + 5 = 13
4. 5 + 9 x 2 = 23
Step-by-step explanation:
I hope this helps! Stay safe and have a wonderful day! :3
Answer:
5 + 4 + 10 = 19
Step-by-step explanation:
the boy is wearing a pair of shoes and holding two popcorns.
This net can be folded to make a square pyramid. What is the surface area of the pyramid?
Answer:
[tex]85in^2[/tex]
Step-by-step explanation:
to find the surface area we need to find the followng areas:
area of the square area of a triangle and multiply it by 4 (because there are 4 triangles)And once we have those areas, we add them to find the surface area.
Area of the square:
the formula to find the area of a square is:
[tex]a_{square}=l^2[/tex]
where [tex]l[/tex] is the length of the side: [tex]l=5in[/tex]
thus the area of the square is:
[tex]a_{square}=(5in)^2\\a_{square}=25in^2[/tex]
Area of the triangles:
the are of 1 triangle is given by
[tex]a_{triangle}=\frac{b*h}{2}[/tex]
where [tex]b[/tex] is the base of the triangle: [tex]b=5in[/tex] (the base of the triangle is the side of the square)
and [tex]h[/tex] is the height of the triangle: [tex]h=6in[/tex]
thus, the area of 1 triangle is:
[tex]a_{triangle}=\frac{(5in)*(6in)}{2}\\ a_{triangle}=\frac{30in^2}{2}\\ a_{triangle}=15in^2[/tex]
the area of the 4 triangles is (we multiply by 4):
[tex]a_{4-triangles}=4(15in^2)\\a_{4-triangles}=60in^2[/tex]
finally we add the area of the square and the area of the 4 triangles to find the total surface area:
[tex]Surface=25in^2+60in^2\\Surface=85in^2[/tex]
Answer:
85 square inches
Step-by-step explanation:
What is the factored form of
z^2 - 2z - 3
Answer:
z=1 z=-3
Step-by-step explanation:
take z^2 times it to -3 then factor for -2 and reverse the answer
The 5th term in a geometric sequence is 140. The 7th term is 35. What are the possible values of the 6th term of the sequence?
Answer:
±70
Step-by-step explanation:
Using a geometric sequence, it is found that the possible values of the 6th term of the sequence are -70 and 70.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
The nth term can also be written as a function of the mth term, as follows:
[tex]a_m = a_1q^{n-m}[/tex]
In this problem, considering that we have the 5th and the 7th term, we have that:
[tex]a_7 = a_5q^2[/tex]
Since [tex]a_5 = 140, a_7 = 35[/tex]:
[tex]q^2 = \frac{a_5}{a_7}[/tex]
[tex]q^2 = \frac{35}{150}[/tex]
[tex]q^2 = \frac{1}{4}[/tex]
[tex]q = \pm \frac{1}{2}[/tex]
[tex]\pm \frac{1}{2}[/tex] of 140 is [tex]\pm 70[/tex], hence the possible values of the 6th term of the sequence are -70 and 70.
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which which division problem does the diagram below best illustrate?
60 points
Answer:
Step-by-step explanation:
32 divide 4 = 8
Answer:
B- 32 divided by 4 = 8
Step-by-step explanation:
Where on a check should you write the name of the payee? A. part A B. part B C. part C
Answer:
Part a - on the line where it says pay to the order of
Step-by-step explanation:
Answer:
Part A
Step-by-step explanation:
the circumference of a circular pool cover is about 88 meters what is the measure of the length of the radius of the pool cover round your answer to the nearest whole number
Answer: The length of radius of a circular pool is 7 meters
Step-by-step explanation:
Given that the circumference of a circular pool cover is about 88 meters
To find the length of radius
As we know circumference of a circle is given by
[tex]C=2\pi r[/tex] where C is circumference , and r is radius of the circle
Now as according to question we have
[tex]88= 2\pi r\\\\\Rightarrow 88= 2\times \dfrac{22}{7} r\\\\\Rightarrow r= \dfrac{88\times 7}{2\times 44} = 7 m[/tex]
Hence,the length of radius of a circular pool is 7 meters
What is the domain of the function y= 3Vx
Based on the graph, the domain of the function [tex]y=3\sqrt{x}[/tex] is [0, ∞].
In Mathematics and Euclidean Geometry, a domain is the set of all real numbers (x-values) for which a particular relation or function is defined.
The horizontal section of any graph is typically used for the representation of all domain values. Additionally, all domain values are both read and written by starting from smaller numerical values to larger numerical values, which means from the left of a graph to the right of the coordinate axis.
By critically observing the graph shown in the image attached below, we can logically deduce the following domain:
Domain = [0, ∞], {x|x ≥ 0}.
Complete Question:
What is the domain of the function [tex]y=3\sqrt{x}[/tex]?
Given the function f(x) = -2x2 + 4x - 7, find f(-4).
-55
-7
25
Answer:
f(-4)= -55
Step-by-step explanation:
We want to find f(x), or y, when x is equal to -4.
Therefore, we can substitute -4 in for x in the function.
f(x) = -2x^2 + 4x - 7
Substitute -4 in for x
f(-4) = -2(-4^2) + 4(-4) - 7
Evaluate the exponent
f(-4)=-2(16)+4(-4)-7
Multiply -2 and 16
f(-4)= -32+4(-4)-7
Multiply 4 and -4
f(-4)=-32-16-7
Subtract
f(-4)=-55
what is the value of the expression
Answer:
Step-by-step explanation:
Multiplying bases with exponents means you have to multiply the base and add the exponent. So:
(10⁴)(5²) = 50⁶
(10³)(5³) = 50⁶
Now the equation is (50⁶/50⁶)³
Anything divided by itself will be one, so the number inside the parentheses is 1.
Now the equation is 1³, and 1x1x1 is 1.
Explain how to find the volume of any composite figure
Answer: you can find the composite figure's volume by finding the volumes of those combined rectangular prisms and adding them up.
Step-by-step explanation:
Answer:
Sample response: Look at the figure and take note of the types of three-dimensional figures that make it up. Find the volume of each figure. Add the volumes to find the total volume.
Step-by-step explanation:
What kind of triangle is this?
A.obtuse
B.supplementary
C.acute
D.right
Answer:
option D
Step-by-step explanation:
Since one of the three angles is 90° , it is a right triangle
The number 47 is decreased to 44. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
6.38298% or 6.4%
hope this helps
To calculate the percentage decrease from 47 to 44, the difference is divided by the original number and then multiplied by 100. The result is approximately a 6.4% decrease.
Explanation:To calculate the percentage decrease of the number from 47 to 44, we use the following formula for percentage decrease:
Percentage decrease = ((Original Value - New Value) / Original Value) × 100%
In this case, the original value is 47 and the new value is 44. So the calculation would be:
Percentage decrease = ((47 - 44) / 47) × 100%
Percentage decrease = (3 / 47) × 100%
Percentage decrease = 0.0638 × 100%
Percentage decrease = 6.38%
To give the answer to the nearest tenth of a percent, we round 6.38% to 6.4%. So, the number 47 is decreased by about 6.4% to become 44.
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What is the standard form of this function?
f(x) = (x - 2)2 + 6
A. f(x) = x² – 8x+10
B. f(x) = x2 - 8x + 10
C. f(x) = -x² - 6x + 10
D. f(x) = x2 - 4x + 10
Answer:
D
Step-by-step explanation:
(x-2)(x-2)+6
FOIL
If f(x) = -2x + 8 and g(x) = x + 7, what is
F•g)(2)?
Kiran, Mai, Jada, and Tyler went to their school carnival. They all won chips that they could exchange for prizes. Kiran won as many chips as Jada. Mai won 4 times as many chips as Kiran. Tyler won half as many chips as Mai.
Write an expression for the number of chips Tyler won. You should only use one variable: , which stands for the number of chips Jada won.
Answer:
Mai, Tyler Kiran,Jada ratio = 4,2,1,1Tyler is double that of Jada
So expression could be f(t) 2 x 1t x 5 = 10
Step-by-step explanation:
The expression for the number of chips Tyler won, based on the number of chips Jada won, is 2j.
Explanation:In this problem, we are asked to develop an expression for the number of chips Tyler won based on the amount Jada won. The relationships between the chips won are as follows: Kiran won as many chips as Jada (so if Jada won j chips, Kiran also won j chips), Mai won 4 times as many chips as Kiran (so Mai won 4j chips), and Tyler won half as many chips as Mai (so Tyler won 1/2 * 4j = 2j chips).
So, using j to represent the number of chips Jada won, the expression for the number of chips Tyler won would be 2j.
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The horizontal cross-sectional shapes of the given prism are all congruent.
Answer:
true
Step-by-step explanation:
To solve 2x + 9 = 21, what is the first step?
A.Dividing each side by 2
B.Dividing each side by x
C.Subtracting 21 from each side
D.Subtracting 9 from each side
This is for geometry and I need help...
Answer:
I would say C but i am not sure
Step-by-step explanation:
sorry if I am wrong
Madison has three jobs. This week she earned $236 waitressing, $68 delivering packages, and $96 babysitting. What percent of her money earned this week came from waitressing?
Answer: 59%
Step-by-step explanation:
First, you should add all of the money together.
= $268 + $68 + $96
= $400
Now, put it into a fraction. Remember to have a percentage, you have to multiply the division by 100.
= [tex]\frac{268}{400}[/tex] x 100
= 59%
if Nicole saves $0.05 every day how much money will she have in 3 years
Answer:
$54.75
Step-by-step explanation:
0.05 x 365 = 18.35
18.25 x 3 = 54.75
Answer:
54.75
Step-by-step explanation:
To find this answer we will first take our 3 years and turn them into days instead.
There are 365 days in a year, so, 365 x 3 = 1095 days
Next, take the 1095 days and multiply it by the number she is saving everyday
1095 x .05 = 54.75
Nicole will have saved 54.75 in three years.
Hope this helps! :)
4a+3=15 Hi what is the answer and how do I get it?
Answer:
4a+3=15
Step-by-step explanation:
Let's solve your equation step-by-step.
4a+3=15
Step 1: Subtract 3 from both sides.
4a+3−3=15−3
4a=12
Step 2: Divide both sides by 4.
4a
4
=
12
4
a=3
Answer:
a=3
Tina brought six times as many shirts as Maria. She then purchased five more while
shopping. Tina's total number of shirts by the end of the day was twenty-three. How
many did Maria bring?
3 shirts
6 shirts
11 shirts
15 shirts
Answer:
3 shirts
Step-by-step explanation:
23 - 5 = 18
18 divided by 6 = 3
Find the volume of the sphere.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth.
the radius is 10
Answer:
Step-by-step explanation:
volume of sphere=4/3 πr³
=4/3 π×10³=4000/3 π
=4000×3.14÷3=12560/3
=4186.67
The key to solving a two-step equation is isolating the
variable on one side of the equation. In which of the
following equations is the variable isolated?
A.x = 9/2 + 4
B.2X=8
C.3x = 8 +5
D.x = 5x - 4
Answer:
A. x= 9/2+4
because the x is by itself
Be safe and have a day
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Find the equation of the line. Use exact numbers. Please hurry
Answer:
y = -3x +7
Step-by-step explanation:
The y intercept is 7. It is where the line crosses the y axis
We also need to find the slope
We need two points (0,7) and (3,-2)
m = (y2-y1)/(x2-x1)
= (7 - -2)/(0-3)
(7+2)/(0-3)
9/-3
-3
The equation of a line is
y = mx+b where m is the slope and b is the y intercept
y = -3x +7
A relative frequency histogram is given with four classes. The first three bars have a height of 0.25, 0.35, and 0.1 respectively. What is the helght of
the fourth bar?
Answer:
answer is 0.3
Step-by-step explanation:
To find the height of the fourth bar in a relative frequency histogram, calculate the total frequency, subtract the sum of the first three frequencies, and divide the remaining frequency by the total frequency.
Explanation:The relative frequency histogram given has four classes. The heights of the first three bars are 0.25, 0.35, and 0.1 respectively. To find the height of the fourth bar, we need to calculate the total frequency first. Then, subtract the sum of the first three frequencies from the total frequency. Finally, divide the remaining frequency by the total frequency to get the height of the fourth bar.
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Desenhe em uma folha dois quadrados de lado 1dm. Trace uma diagonal em cada um e recorte-os
Answer:
The given question is
Draw two 1 dm squares on a sheet of paper. Draw a diagonal on each one and cut them out.
So, you need to draw square with sides of 1 dm. However, first, you need to transform from dm to cm.
We know that 1 decimenter (dm) equals 10 centimeters (cm).
That means the square sides are 10 centimerers long. So, you need to draw two squares like the first image attached shows.
Then, to draw their diagonals, you need to draw a line segment from one corner to its opposite corner, you should have an inclined line acroos each square. As the second image attached shows.
There you have it. Two squares of 1 dm side with on diagonal each.
What is the answer to this equation -156-(-45)=
Answer:
-111
Step-by-step explanation:
-156 + 45 = -111
double negative becomes positive
Answer:
-201
Step-by-step explanation:
-156-(-45)= 156+45
156+45=201 add the - sign