Answer:
D. The outcomes of events A and B are dependent on each other
Step-by-step explanation:
The correct probabilities for the stated events are P(A|B) = 2/3, P(B|A) = 2/3, meaning both statements A and B are false. Since these probabilities are not equal to P(A) and P(B) respectively, this shows the events A and B are not independent, making statement C false and D true.
Explanation:To solve the problem, we first need to define the events. Event A is that a box selected is blue, and Event B is that the selected box contains a prize. We're asked to verify certain probabilities related to these events.
First, let's find the total probability of each event. The probability of selecting a blue box (Event A) is 3/5 because there are 3 blue boxes out of 5 total. The probability of selecting a box with a prize (Event B) is 3/5, as 3 of the 5 boxes contain a prize.
The probability of A given B, P(A|B), is the probability that a selected box is blue, given that it contains a prize. We know there are 3 boxes with prizes, and of those, 2 are blue. So, P(A|B) = 2/3. This is not equal to P(A) = 3/5, so Statement A is false.
The probability of B given A, P(B|A), is the probability a selected box contains a prize, given that it is blue. We know there are 3 blue boxes and 2 of them have prizes. So, P(B|A) = 2/3. This is not equal to P(B) = 3/5, so statement B is false as well.
This means Events A and B influence each other and are, therefore, not independent. This makes Statement C false and Statement D true.
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A sphere has a diameter of 2yards
Annita is sewing a lace edge around a rectangular quilt. She will need 150 inches of lace to do the entire quilt. If the quiltis 42
inches wide, how long is the quilt?
A. 75 inches
B. 66 inches
C. 31 inches
D. 33 inches
With a total perimeter of 150 inches and a width of 42 inches, the length was calculated to be 33 inches, option D.
To determine how long the quilt is, we need to calculate the perimeter of the rectangular quilt and then solve for the missing length. Since Annita needs 150 inches of lace, we know this is the total perimeter (P) of the quilt. The quilt is 42 inches wide. The formula for the perimeter of a rectangle is P = 2(length) + 2(width). We can set up the equation as 150 = 2(length) + 2(42).
Now let's solve for the length (L):
150 = 2L + 84 (since 2(42) is 84)150 - 84 = 2L66 = 2LL = 33 inchesThe length of the quilt is 33 inches, which corresponds to option D.
The length of the quilt is 33 inches.
The correct option is (D).
To find the length of the quilt, we need to use the formula for the perimeter of a rectangle, which is given by:
[tex]\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \][/tex]
Given that the width of the quilt is 42 inches and Annita needs 150 inches of lace to go around the entire quilt, we can set up the equation as:
[tex]\[ 150 = 2 \times (\text{Length} + 42) \][/tex]
Now, let's solve for the length [tex](\( \text{Length} \)):[/tex]
[tex]\[ 150 = 2 \times (\text{Length} + 42) \][/tex]
[tex]\[ 75 = \text{Length} + 42 \][/tex]
Subtract 42 from both sides:
[tex]\[ 75 - 42 = \text{Length} \][/tex]
[tex]\[ \text{Length} = 33 \][/tex]
So, the length of the quilt is 33 inches. Therefore, the answer is option D. 33 inches.
PLEASE HELPPP !!!!!!!!!!!
Answer:
42
Step-by-step explanation:
Determine the compound interest earned on $200 invested at 3.25% compound annually for 6 years
Answer:
$882.24 compound interest earned / $1,082.24 total
Step-by-step explanation:
You are going to want to use the compound interest formula, which is shown below.
[tex]P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate
n = number of times compounded annually
t = time
Now lets plug in the values into the equation.
[tex]200(1+\frac{.325}{1} )^{6}[/tex] = 1,082.24
Since we want to know the compound interest earned, just subtract 200 from 1,082.24.
1,082.24 - 200 = $882.24
Plz help if u understand!?
Answer:
38.01
Step-by-step explanation:
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
The angles are adjacent. x=20
Step-by-step explanation:
The angles should add up to 180 because they are supplementary.
7x+x+20=180
8x+20=180
180-20=160
8x=160
x=20
Find the mean of 8, 7, 9 graphically.
What is the sum of the numbers?
Answer:
Sum=24
Mean=8
Step-by-step explanation:
To find the sum of all the numbers you simply would do 8+7+9.
That is 24.
When finding mean you add up all your numbers then divide by the total number of number (I know that sounds a bit confusing. In this case there are only 3 numbers, so that is the one you will use for dividing)
Your equation would look like this
24
_
3
Once you divide you should get 8 as your mean or average in other terms.
Which Expression is equivalent to the expression (3^2)^3?
27^6
27^5
3^6
3^5
ANSWER ASAP! NEED FOR RIGHT NOW
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Kay walks upstairs to make her legs stronger. Every day at work, she walks up 9 flights of stairs. If there are 13 steps in 1 flight of stairs, how many steps does Kay climb in 5 days at work?
Solve the problem.
Answer:
585 steps
Step-by-step explanation:
To get the solution multiply:
9*13*5 = 585
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A fabric store is having a sale.
Any fabric is $10 for 8 yards.
What is the value of the ratio of dollars to yard of fabric?
Answer: $1.25:1yd
Step-by-step explanation:
Take 10 and divide it by 8, which should give you 1.25.
This is the answer, the ratio of dollars to yard of fabric is $1.25 per 1 yard of fabric.
To check this, simply multiply both sides by 8 and you should get the original ratio of $10 for 8 yards of fabric.
Mrs. Alexander wants to make a rectangular quilt that will have an area of 80 square feet So far, she has made 16
squares for the quilt each 2 feet long and 2 feet wide. Does she have enough squares to complete the quilt?
No, she doesn't have enough square to complete the quilt. Mrs. Alexander need 4 more squares to complete the rectangular quilt, that will have an area of 80 square feet. 20 square required to make quilt.
Step-by-step explanation:
The given is,
Area of an rectangular quilt - 80 square feet
She made 16 squares
Square have 2 feet long and 2 feet wide
Step:1
Area of rectangular quilt = 80 square feet
Area of 16 squares = 16 × Area of square..................(1)
Formula for area of square,
[tex]A = a^{2}[/tex]................................(2)
Where, a - Sides of square
a = Length = Wide
From given,
a = 2 feet
Equation (2) becomes,
[tex]A = 2^{2}[/tex]
A = 4 square feet
Equation (1) becomes,
Area of 16 squares = 16 × 4
= 64 square meters
Area of rectangular quilt ≠ Area of 16 squares
80 ≠ 64
Area of square is less compare to area rectangular quilt, so we need more square,
Required amount of square area = 80 - 64
= 16 square feet
Required amount of squares = [tex]\frac{16}{4}[/tex]
= 4 squares
Total(16+4) square areas = 20 × 4 = 80 square feet
Area of rectangular quilt = Area of 20 squares
80 square feet = 80 square feet
Result:
No, she doesn't have enough square to complete the quilt. Mrs. Alexander need 4 more squares to complete the rectangular quilt, that will have an area of 80 square feet. 20 square required to make quilt.
Please help! With any show work please I’ll mark more points
Answer:
C) 26 blocks
Step-by-step explanation:
For the firs one draw a dot where they start. Then draw a line going down and label it 10. Next draw a line going left and label it 24. Connect the end of those who lines to form a triangle. Now we can use the pythagorean theory.
a^2 + b^2 = c^2
a^2= side one (you choose)
b^2= side two (whichever side you didn't use out of the two)
c^2= the hypotenuse( this is the diagonal line you drew connecting the two lines at the end)
10^2 + 24^2 =c^2
100 + 576 =c^2
676=c^2 Since the C is still squared we have to squareroot both sides. This will cancel oout the ^2 on the C.
[tex]\sqrt{676} =\sqrt{c^2}[/tex] Solve.
26=c
BRAINLIEST!!! ASAP! It’s easy
Answer:
83.3%
Step-by-step explanation:
Convert fraction (ratio) 10 / 12
Answer: 83.333333333333%
A pool table is 8 feet long and 4 feet wide. How far is it from one corner pocket to the diagonally opposite corner pocket?
Using the Pythagorean theorem, the diagonal distance from one corner pocket to the diagonally opposite corner pocket on an 8 foot by 4 foot pool table is about 8.94 feet.
To determine the distance from one corner pocket to the diagonally opposite corner pocket on a pool table, we can use the Pythagorean theorem because the pool table forms a rectangle and the diagonal forms a right triangle with the length and width of the table. Given the dimensions of the pool table as 8 feet long and 4 feet wide, we can label these as the two sides of the right triangle.
The Pythagorean theorem states that for a right triangle with sides of lengths a, b, and hypotenuse c, the relationship between these sides is [tex]a^2 + b^2 = c^2[/tex]. Substituting the given values, we have:
Let's denote the length (8 feet) as a and the width (4 feet) as b.Using the theorem, we calculate the hypotenuse c as [tex]\sqrt{(8^2 + 4^2)}.[/tex]Compute the square of each side: [tex]8^2[/tex] = 64 and [tex]4^2[/tex] = 16.Add these together: 64 + 16 = 80.The hypotenuse (diagonal) c is the square root of 80, which simplifies to 4 [tex]\sqrt(5)[/tex] feet or approximately 8.94 feet.Therefore, the diagonal distance from one corner pocket to the diagonally opposite corner pocket is about 8.94 feet.
ANSWER my question IF YOU WANT TO HAVE BRANIEST
In a certain triangle, two of the sides have measures of 13 and 20. If the triangle is isosceles, then which of the following could be the measure of the third side?
1) 7
2) 33
3) 40
4) 13
Answer:
4)13
Step-by-step explanation:
In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.
A 4-person relay team ran a race in 48 seconds. What was the
average time for each person?
Answer:12 secondes
Step-by-step explanation:48 seconds/ 4 people= 12 second
Answer:
12
Step-by-step explanation:
all you do is divide 48 by 4 to get 12
the length of a rectangular Hall is four times its width. if the perimeter of the Hall is 20 m, find the length and width of the hall.
Answer:
The length is 16 while the width is 4
Step-by-step explanation:
To solve for perimeter the equation is L+W=P
By using this equation you can get to what you need I made my own equation using what we know
My equation is 4L+W=20
Then I just started plugging things in and I ended up with L= 16 and W=4
Help please . Lost .
Hope this will help u...
Which of the following graphs is described by the function given below?
y=3x + 7x+2
O
O
A. Graph A
B. Graph B
O
C. Graph C
O
D. Graph D
This graph represents function of y = 3x²+7x+2, which is correct option(D).
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
Given function, y = 3x²+7x+2
Compare the given function to f(x) = ax² + b x + c ,
The graph of given function is upward (or opens up) because the value of 3 is more than 0, 3 > 0.
The x-intercept of given function are (-1/3, 0) and (-2,0)
The y-intercept of given function is (0,2)
Here is a graph represents function of y = 3x²+7x+2
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The correct option is A. Graph A. It shows an upward-opening parabola with a vertex and y-intercept that match the derived values.
1. Direction of the Parabola : Since the coefficient of [tex]\( x^2 \)[/tex] (which is [tex]3[/tex]) is positive, the parabola opens upwards.
2. Vertex : The vertex of a parabola in the form [tex]\( y = ax^2 + bx + c \)[/tex] can be found using the formula for the x-coordinate of the vertex, [tex]\( x = -\frac{b}{2a} \)[/tex]
For the given function:
[tex]\[ a = 3, \quad b = 7 \][/tex]
So,
[tex]\[ x = -\frac{7}{2 \times 3} = -\frac{7}{6} \][/tex]
Next, we find the y-coordinate of the vertex by plugging [tex]\( x = -\frac{7}{6} \)[/tex] back into the equation:
[tex]\[ y = 3\left(-\frac{7}{6}\right)^2 + 7\left(-\frac{7}{6}\right) + 2 \][/tex]
Let's compute that:
[tex]\[ y = 3 \times \frac{49}{36} - \frac{49}{6} + 2 \][/tex]
[tex]\[ y = \frac{147}{36} - \frac{294}{36} + \frac{72}{36} \][/tex]
[tex]\[ y = \frac{147 - 294 + 72}{36} \][/tex]
[tex]\[ y = \frac{-75}{36} \][/tex]
[tex]\[ y = -\frac{25}{12} = -2.083 \][/tex]
Thus, the vertex is approximately at [tex]\(\left( -\frac{7}{6}, -\frac{25}{12} \right)\)[/tex]
3. Y-Intercept : This is the value of [tex]\( y \)[/tex] when [tex]\( x = 0 \)[/tex]
[tex]\[ y = 3(0)^2 + 7(0) + 2 = 2 \][/tex]
The graph should cross the y-axis at [tex]\( y = 2 \)[/tex]
Now, let's compare these features with the provided graphs:
The parabola should open upwards.
The y-intercept should be [tex]2[/tex].
The vertex should be approximately at [tex]\( \left( -\frac{7}{6}, -\frac{25}{12} \right) \)[/tex]
The complete question is
Which of the following graphs is described by the function given below? y=3x^2+7x+2
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Which best explains the relationship between the two triangles below? Triangle D C A. Angle D is 51.2 degrees and angle A is 96.5 degrees. Triangle S R T. Angle S is 32.3 degrees and angle R is 96.5 degrees. Triangle A D C is similar to triangle R T S because Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T. Triangle A D C is similar to triangle R T S because Angle A is similar to angle R, Angle C is similar to angle S, and Angle D is similar to angle T. Triangle A D C is not similar to Triangle R T S because Angle D is not congruent to Angle S. Triangle A D C is not similar to Triangle R T S because C D less than S T, D A less than T R, and C A less than S R.
Answer:
A
Step-by-step explanation:
may i have brainliest
The best explains the relationship between the two triangles will be Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T. Then the correct options are A and B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
If the two angles are similar of the triangles, then the triangles are similar triangle.
The best explains the relationship between the two triangles will be Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T. Then the correct options are A and B.
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What is the y-intercept y = -2x - 3/4
Answer:
- [tex]\frac{3}{4}[/tex]
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 )
y = - 2x - [tex]\frac{3}{4}[/tex] ← is in slope- intercept form
with y- intercept c = - [tex]\frac{3}{4}[/tex]
Which are side lengths of quadrilateral PQRS? Check
all that apply.
PIO, 4)
Q(2, 4)
4 units
5 units
6 units
/13 units
4/2 units
Answer: 2 , 3 , & 4 are correct .
A hockey player takes a shot with a 15 degree angle of elevation 24 ft away from the goal and hits the cross bar. How tall is the goal. Round to the nearest tenth.
Ilana ran 2 laps around the field in 8 minutes. What was her average speed, in laps per minute?
StartFraction 1 Over 10 EndFraction of a lap per minute
One-fourth of a lap per minute
4 laps per minute
10 laps per minute
Answer:
Salty spark is right
Step-by-step explanation:
for anyone who didnt know 0.25 is equivalent to 1/4 just to make it clear 1/4 IS the correct answer saltyspark just put it in decimal form.
To find Ilana's average speed, we divide the total laps by the total minutes, which results in one-fourth of a lap per minute.
Explanation:To find the average speed, we divide the total distance by the total time taken
To determine Ilana's average speed, we need to divide the total distance (2 laps) by the total time (8 minutes). When we do that, we get 0.25 laps per minute.
This is also known as one-fourth of a lap per minute. That means, on average, Ilana completes a quarter of a lap every minute.
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If UT = 31.6, what is the measure of US?
Given:
UT = 31.5
To find:
The measure of US.
Solution:
In the figure, WV bisects UT.
⇒ US = ST -------------- (1)
UT = US + ST
31.6 = US + US (using (1))
31.6 = 2 US
Divide by 2 on both sides.
[tex]$\frac{31.6}{2} =\frac{2US}{2}[/tex]
[tex]15.8=US[/tex]
The measure of US is 15.8.
Complete the table below.
Answer:
option 1 the pattern is +3 so 7+3 = 10
Step-by-step explanation:
6th grade math help please !!
Answer:
Step-by-step explanation:
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 34, 36, 72.
Common factors: 1, 2, 3, 6, 18.
18 is the greatest common factor.
GCF = Greatest common factor.
Answer:
The GCF of 90 and 72 is 18.
Step-by-step explanation:
All factors of 90: 1,2,3,5,6,9,10,15,18,30,45 and 90.
All factors of 72: 1,2,3,4,6,8,9,12,18,24,36 and 72.
All common factors of 90 and 72: 18, 9, 6, 3, 2, and 1.
The greatest common factor: 18.
Hopefully this helps!
write the quadratic question whose roots are 1 and 6, and whose leading coefficient is 4
Answer:
[tex] 4 {x}^{2} - 28x + 24[/tex]
Step-by-step explanation:
Roots of the quadratic equation are 1 and 6
Therefore, (x - 1) & (x - 6) are factors.
Leading coefficient is: 4
Required quadratic equation is given as:
[tex]4(x - 1)(x - 6) \\ = 4( {x}^{2} - 6x - x + 6) \\ = 4( {x}^{2} - 7x + 6) \\ = 4 {x}^{2} - 28x + 24[/tex]
Add 5 to me.Then divide by 7.If you add 12 and the subtract 7,you get 10
Answer: 30
Step-by-step explanation:
Let the number be y
Add 5 to me
Y+5............equ1
Divide by 7
Y+5/7
Add 12
Y+5/7+12
Subtract 7
(Y+5)/7+(12-7)=10
12-7=5
Substitute
(Y+5)/7+5=10
Find the lowest common multiple
((Y+5)+7(5))/7=10
(Y+5)+35)/7=10
Cross multiply
Y+5+35=70
Y+40=70
Y=70-40
Y=30
The unknown number is 30
If anyone sees this question can you please answer it correctly, and thank you if you do
Answer:
8 units like the top person says