Answer:
Step-by-step
7 yellow, 5 green, 3 blue...total of 15
P(yellow party hat) = 7/15
do not replace
P(yellow hat) = 6/14
P(both) = 7/15 * 6/14 = 42/210 which reduces to 1/5 or 0.2 or 20%
Hopefully this helps!
Find the value of x. Round to the
nearest tenth.
7.4 in
2.4 in
x= [ ?]
Answer:
4.4 inches
Step-by-step explanation:
Here, we are interested in calculating the value of x.
Mathematically, a line that comes from the center of the circle and extends to a chord, divides the chord into two equal parts.
This means what we have is a right angled triangle with the radius being the hypotenuse, the half of the length of the chord as the other side of the triangle.
3.7 is half the length of the chord i.e 7.4/2
Thus;
using Pythagoras’ theorem
x^2 = 2.4^2 + 3.7^2
Pythagoras’ posited that the square of the hypotenuse is equal to the sum of the squares of the other two sides of the triangle.
Thus;
x^2 =5.76 + 13.69
x^2 = 19.45
x = √(19.45)
x = 4.41 inches which is 4.4 inches to the nearest tenth
Answer:
4.4
Step-by-step explanation:
An archeologist in Turkey discovers a spear head that contains 27% of its original amount of C-14
Answer:
it is 13093 i got it correct
Find the solutions of the quadratic equation
6x2 - 6x – 2 = 0.
But it's used in complex numbers
Step-by-step explanation:
it it can be calculated by using the quadratic formula.
X=-b+_(√b^2-4ac)/2a
Gold-192 is a radioactive isotope with a half-life of 4.95 hours. How long would it take for a 25 gram sample of Gold-192 to decay until only 2 grams remain? a. about 9.1 hours b. about 31 hours c. about 18 hours d. about 61.9 hours
Answer:
Step-by-step explanation:
The formula you will need for this is:
[tex]A=A_0(\frac{1}{2})^{\frac{t}{H}[/tex] where A is the amount after some decay has happened, A₀ is the intial amount, t is the time in hours, and H is the half-life in hours. Those values for us are:
A = 2 g
A₀ = 25 g
H = 4.95 hrs and
t = ?
Filling in:
[tex]2=25(\frac{1}{2})^{\frac{t}{4.95}[/tex] Keep in mind that, because of the nature of the exponential form of this equation, you CANNOT simply multiply the 25 by the 1/2. Exponential equations don't work that way. Begin instead by dividing both sides by 25 to get
[tex].08=(\frac{1}{2})^{\frac{t}{4.95}[/tex] The goal is to get that t out from its exponential position. Do that by taking the natural log of both sides:
[tex]ln(.08)=ln(.5)^{\frac{t}{4.95}[/tex]
After you take the natural log of the right side, the property allows you to bring the exponent down out front:
[tex]ln(.08)=\frac{t}{4.95}ln(.5)[/tex]
Now divide both sides by ln(.5) to get
[tex]\frac{ln(.08)}{ln(.5)}=\frac{t}{4.95}[/tex]
Simplify the left side out on your calculator to get
[tex]\frac{-2.525728644}{-.6931471806}=\frac{t}{4.95}[/tex] and then divide:
[tex]3.643856=\frac{t}{4.95}[/tex]
Finally, multiply both sides by 4.95 to get
3.643856(4.95) = t so
t = 18.0 hours which is choice C
Classify the following triangle. Check all that apply.
Answer: isosceles, scalene
Step-by-step explanation:
One angle in the triangle is a right angle, so it is a right triangle.
Two of the sides of the triangle are the same, so the triangle is isosceles.
Hope it helps <3
Consider the quadratic function that has x-intercepts of -1 and 7 and passes through the point (-2,-20). What is the
value of a in the factored form of this function?
Answer:
a = -20/9.
Step-by-step explanation:
We can write it as
f(x) = a(x - 7)(x + 1)
When x = -2 and y = -20 (at the point(-2, -20):
-20 = a(-2 -7)(-2 + 1)
-20 = -9*-1 a
9a = -20
a = -20/9.
Determine the number of terms in the sequence: 5240,4365, 3490, 2615, ..., -2635
Answer:
I believe the number of terms are 10
Step-by-step explanation:
The number of terms in the given sequence(5240,4365, 3490, 2615, ..., -2635) is 10.
What is a sequence?In mathematics, a sequence is an enumerated group of elements in which repetitions are allowed and order is significant.
How to solve this problem?The 1st term in the given sequence is 5240
The 2nd term is 4365 = 5240 - 875
The 3rd term is 3490 = 4365 - 875
The 4th term is 2615 = 3490 - 875
Then the 5th term is 2615 - 875 = 1740
The 6th term is 1740 - 875 = 865
The 7th term is 865 - 875 = - 10
The 8th term is - 10 - 875 = - 885
The 9th term is - 885 - 875 = - 1760
The 10 the term is - 1760 - 875 = - 2635.
Therefore the number of terms in the given sequence(5240,4365, 3490, 2615, ..., -2635) is 10.
Know more about sequences here -
https://brainly.com/question/22241938
#SPJ2
y
10
1
B(7,9)
Create a rectangle around the parallelogram. The
dimensions of this rectangle are
Find the area of the four right triangles surrounding the
parallelogram. The total area of the triangles is
square units
Subtract the triangle areas from the area of the
rectangle to obtain the area of the parallelogram. The
area of parallelogram ABCD is square units.
6
2
-10
6
-6
A-3,-1)
-2
10
C(8, -1)
D(-2,-11)
Answer:
rectangle: 11 × 20triangle area: 110 u²parallelogram area: 110 u²Step-by-step explanation:
See below for a graph showing the parallelogram and the rectangle.
The dimensions of the rectangle are 11 by 20. The rectangle area is ...
rectangle area = bh = (11)(20) = 220 . . . square units
There are 2 right triangles with a base of 10 and a height of 1. There are 2 right triangles with a base of 10 and a height of 10. The total area of the triangles is ...
triangle area = 2(1/2)(10)(1) +2(1/2)(10)(10) = 10(1 +10) = 110 . . . square units
The area of the parallelogram is the difference of these, ...
parallelogram area = rectangle area - triangle area
= (220 units²) -(110 units²) = 110 units²
The area of parallelogram ABCD is 110 square units.
_____
Check
The parallelogram has a base of 10√2 and a height of 5.5√2, so an area of (10√2)(5.5√2) = 110 square units. This matches the above result.
Answer:
1) 11 by 20 2) 110 3) 110 correct on edg
Step-by-step explanation:
Create a rectangle around the parallelogram. The dimensions of this rectangle are
11 by 20
Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is
110 square units.
Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is
110 square units.
What is m triangle FIG?
Answer:
25
Step-by-step explanation:
Its 25 because x equals 23 if you plug it in you will get the answer
Find the domain from the ordered pair {(1, 1), (2, 4), (3, 9), (4, 16)}
Answer:
{ 1 , 2 , 3 , 4 }Explanation:
Domain and Range:Let R be a relation from A to B. Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.
Hope this helps...
Good luck on your assignment..
Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x?
Answer:
a. p(x) and q(x) have the same domain and the same range.
Step-by-step explanation:
Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? a. p(x) and q(x) have the same domain and the same range. b. p(x) and q(x) have the same domain but different ranges. c. p(x) and q(x) have different domains but the same range. d. p(x) and q(x) have different domains and different ranges.
Answer: The domain of a function is the set of all values for the independent variable (i.e the input values, x values).
The range of a function is the set of all values for the dependent variable (i.e the output values, y values).
Both p(x) = 6–x and q(x) = 6x are linear functions, the domain and range of a linear function is the set of all real numbers i.e for a linear function:
Domain = (-∞, ∞)
Range = (-∞, ∞)
Therefore p(x) and q(x) have the same domain and the same range.
Answer: It’s A
Step-by-step explanation:
On edge
Edwin is buying produce at a store. She buys c cucumbers at 0.99 each and A apples at 0.79 each. what does the expression .79A mean ?
Answer:
Means the total cost of the apples purchased
Step-by-step explanation:
.79A
Means the total cost of the apples purchased
Each apple is .79 and A is the number of apples purchased
Multiplied together is the total cost of the apples purchased
The table represents a linear function. A two column table with six rows. The first row, x, has the entries negative 4, negative 2, negative 1, 1, 2. The second column, y, has the entries, negative 2, negative 10, negative 14, negative 22, negative 26. What is the slope of the function? –8 –4 2 5
Answer:
(B)-4
Step-by-step explanation:
From the table, consider the points (-4,-2), (-2,-10) and (-1,-14)
[tex]\text{Slope, m }=\dfrac{y_2-y_1}{x_2-x_1} \\=\dfrac{-10-(-2)}{-2-(-4)} \\=\dfrac{-10+2}{-2+4} \\=\dfrac{-8}{2} \\\\m=-4[/tex]
The slope of the function is -4.
The correct option is B.
Answer:
(B) -4 is your answer
Step-by-step explanation:
Hope this helps
:) :) 8) ;)
HELPPPP SOMEONE I need help
Answer:
see explanation
Step-by-step explanation:
(a)
To evaluate f(5) substitute x = 5 into f(x), that is
f(5) = 2(5) - 1 = 10 - 1 = 9
(b)
To evaluate g(x - 2) substitute x = x - 2 into g(x), that is
g(x - 2)
= (x - 2)² + x - 2 + 1 ← expand (x - 2)² using FOIL
= x² - 4x + 4 + x - 2 + 1 ← collect like terms
= x² - 3x + 3
law of sines?? side c=22 side a=16 side b= 21 solve for angle c??? help
Answer:
Angle C measures: [tex]71.52^o[/tex]
Step-by-step explanation:
When you know the length of the three sides of the triangle and not a single angle, the law of sines is of no use. You need to use the law of cosines. In your case, since you want to find angle "C", you use the following;
[tex]c^2=a^2+b^2-2\,a\,b\,cos(C)\\2\,a\,b\,cos(C)=a^2+b^2-c^2\\cos(C)=\frac{a^2+b^2-c^2}{2\,a\,b} \\cos(C)=\frac{16^2+21^2-22^2}{2\,(16)\,(21)}\\cos(C)=0.3169643\\C=arccos(0.3169643)\\C=71.52^o[/tex]
The number of grams of calorie-free sodium in a restaurant meal is compared to the total number of calories in the meal. The correlation coefficient relating the two variables is 0.74.
Answer:
C:It is a strong positive correlation,and it is not likely causal.
Step-by-step explanation:
Correlation refers to the relationship between the two variables i.e x and y. It has mainly two types of correlation. The first one is positive and the other one is negative. It lied between -1 to 1. The 1 represents the strong positive correlation while the -1 represents the strong negative correlation
Since the correlation coefficient is 0.74 which is nearest to 1 so it denotes the strong positive correlation and thus is not causal
Hence, the correct option is c.
Answer:
The Answer is C Edg2020
Step-by-step explanation:
The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. (a) Estimate how long it takes the population to double. (Round your answer to two decimal places.)
Answer:
90.91 years
Step-by-step explanation:
If the rate of population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year, increase in yearly population = 1.1/100 × 7,100,000,000
= 1.1 × 71,000,000
= 78,100,000
The amount increases by 78.1million every year.
To know how long it will take the population to double.
double of the initial population = 2×7,100,000,000 = 14,200,000,000
Increment per year = 78,100,000
Time it will take for the population to double = 7,100,000,000/78,100,000
= 90.91
≈ 91
This means it will take about 90.91years for the population to double
What is the height, x, of the equilateral triangle? an equilateral triangle with the angles labeled as 60 degrees and a side length of 8 inches, the height labeled as x A. in. B. in. C. in. D. in.
The height x of the equilateral triangle is 4√3 inches
Equilateral triangle:
Equilateral triangles are triangles that have all its sides and angles equals to each other. The three angles are 60 degrees each.
Therefore,
The side length of the equilateral triangle is 8 inches. Therefore, let's find the height of the triangle using Pythagoras theorem.
c² = a² + b²
8² - 4² = b²
b² = 64 - 16
b² = 48
b = √48
b = √16 × 3
b = 4√3
learn more on equilateral triangle here: https://brainly.com/question/821299
Answer:
[tex]4\sqrt{3}[/tex]
Hope this helps!
Step-by-step explanation:
Please answer it in two minutes
Answer:
8√3
Step-by-step explanation:
Sin 30 =4√3/DE
DE = 4√3/Sin30 = 8√3
Forest fires are most likely to occur when the air temperature (t) is greater than 60°F.
Write an inequality for the situation.
please help me asap!!!!!!!!!!!!!!!!!!!!!!!!!
The temperature (t) needs to be greater than 60
So you would have t > 60
Answer:
t > 60
Explanation:
In order to answer this question we must determine two things: what two terms will be compared in the inequality and what symbol we will use to compare them. Let's start by finding, 'what two terms will be compared.'
Read the following quote from the problem...
"Forest fires are most likely to occur when the air temperature (t) is greater than 60°F."
Since the temperature (t) must be greater than sixty degrees to start a forest fire, these are the two terms that we will be comparing in the inequality.
Now, let's find out what symbol we will use to compare the terms.
Because the problem uses the phrase "greater than" to represent the comparison between the temperature of the air and an average of sixty degrees, the symbol we will be using in the inequality is the greater than sign, >.
Finally, use all the facts we have established to write the inequality.
· t = air temperature
· > = greater than
· 60 = max temp. before forest fire occurs
Therefore, the inequality for the solution is t > 60.
true or false:
If ab>0 then a>0 and b>0.
Answer:
false
Step-by-step explanation:
because a<0 and b<0 then ab>0
Answer:
False
Step-by-step explanation:
You don't know what a or b is for example it could be a=-3 b=-4. In that case ab= 12 but a and b indavidually are less than zero making this statment false
On his outward journey, Ali travelled at a speed of s km/h for 2.5 hours. On his return journey, he increased his speed by 4 km/h and saved 15 minutes. Find Ali's average speed for the whole journey.
Answer:
3.08 km/h.
Step-by-step explanation:
We know that,
[tex]Speed=\dfrac{Distance}{Time}[/tex]
Ali traveled at a speed of s km/h for 2.5 hours.
Let d be the distance and t be the time.
[tex]2.5=\dfrac{d}{t}[/tex]
[tex]2.5t=d[/tex] ...(1)
On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.
[tex]4=\dfrac{d}{t-15}[/tex]
[tex]4(t-15)=d[/tex] ...(2)
From (1) and (2), we get
[tex]4(t-15)=2.5t[/tex]
[tex]4t-60-2.5t=0[/tex]
[tex]1.5t=60[/tex]
[tex]t=40[/tex]
Put t=40 in (1).
[tex]d=2.5(40)=100[/tex]
So, t=40 and d=100.
Now,
Total distance = d + d = 100 + 100 = 200
Total time = t + t - 15 = 40 + 40 - 15 = 65
So, the average speed is
[tex]\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}[/tex]
[tex]\text{Average speed}=\dfrac{200}{65}[/tex]
[tex]\text{Average speed}\approx 3.08[/tex]
Therefore, the average speed is 3.08 km/h.
What is the sign of 123 1/23 + (-123 1/23) A) positive B) negative C) zero
Answer:
Positive
Step-by-step explanation:
123 1/23 + (-123 1/23)
Opening the bracket, we have ;
123 1/23 - 123 1/23 = 0
Kindly note that 0 is not a sign, so we cannot select it as an option.
0 is a positive number and not negative.
Thus the sign we have is the positive sign and that gives our answer
You Identify the ratio of the average number of bass to the averg
Answer:
Step-by-step explanation:
Using six random samples, the average number of catfish in the samples was 5.7
Answer:
Uhhhh......Hi??
Please someone help a girl in need :)
Hey there! :)
Answer:
We can use the Pythagorean theorem to show that both triangles contain equivalent shorter legs:
Triangle A:
13² = 12² + b²
169 = 144 + b²
25 = b²
b, or the other leg, = 5 cm.
--------------------------------------
Triangle B:
c² = 12² + 5²
c² = 144 + 25
c² = 169
c = 13 cm.
---------------
Both triangles contain legs with side-lengths 5, 12, and 13 cm. The triangles are congruent because the lengths of the corresponding sides between triangle A and B are equivalent, which was proved using the Pythagorean Theorem.
Find the angles of the triangle if they are proportional to the following:
2,3,4
Answer:
We can call the angles 2x, 3x, and 4x. Since the sum of angles in a triangle is 180 degrees we can write:
2x + 3x + 4x = 180
9x = 180
x = 20 so the angles are 40°, 60°, and 80°.
Answer:
40, 60 and 80 degrees.
Step-by-step explanation:
If the angles are proportional to 2, 3, 4, then the angle measures are 2x, 3x and 4x
2x+3x+4x=9x
Angles in a triangle add to 180 degrees, so x=20
2x=40
3x=60
4x=80
Thus, the angles are 40, 60 and 80 degrees.
Khairul agrees to lay a road 3000m long in 30 days. He employs 50 men,who works for 8 hours a day .After 20 working days, he finds that only 1200 m of the road is completed. Each man now works for 10 hours a day and they have to finish the project in 10 days' time. So , Khairul decides to employ more men to work on the project. How many more men are to be employed to finish the work on time?
Answer:
10 more men
Step-by-step explanation:
1.5 road made per man
The Guzman family lives 240 miles from Mexico City. If the Guzmans travel in
their car at 60 miles per hour, how long does it take for them to get to Mexico
Answer:
4 hours
Step-by-step explanation:
To find the time it takes to travel the distance, divide the distance by the speed they are going.
(240 miles)/(60 miles per hour) = 4 hours
It will take them 4 hours.
Answer:Answer:
4 hours
Step-by-step explanation:
To find the time it takes to travel the distance, divide the distance by the speed they are going.
(240 miles)/(60 miles per hour) = 4 hours
It will take them 4 hours.
Step-by-step explanation:
Which of the following is a set in correct set notation?(1,2,3){4,5,6} the letters of the alphabet 7,8,9
Answer: {4,5,6}
Step-by-step explanation: Sets could be explained as a representation of elements which could be numbers, alphabets or a collection of items which are wrapped inside a curly bracket {}. Generally in mathematical or statistical parlance, once elements are wrapped around curly braces, the collection of those emmts is called a set. And therefore, set arithmetic such as union, intersection, complement e.t.c can be performed on elements of the given set. Elements wrapped in curly braces signifies that the elements reperesents an entire entity.
In the question given above, {7,8,9} reperesents a set containing three elements : 7, 8,9.
Question options:
A.)7
B.)503
C.)6
D.)5
Answer:
x=6
Step-by-step explanation:
We can use ratios to determine the value of x
x 9
------ = ----------
10 15
Using cross products
15x = 9*10
15x = 90
Divide each side by 15
15x/15 =90/15
x = 6
Answer:
6.
Step-by-step explanation:
Triangles PQR and P'Q'R' are similar.
By similar triangles, the corresponding sides are in the same ratio
x / 10 = 9/15
15x = 90
x = 6.