Answer:
7/32
Step-by-step explanation:
Combinators. Your best friend in this scenario.
Basically, using combinations helps you to find the different ways that you could get heads three times out of eight. To do that, just get 8!/(3!5!) (this is a formula, not the exact numbers, per say, you should check that out), which ends up as 56. So there's 56 different ways that Peter can flip a coin eight times and land on heads three times.
Then, you divide that by the total number of possibilities, which in this case is 2^8, since every coin you flip gives you two different options, heads or tails.
Simplifying the fraction gets you 7/32.
Answer:
7/32
Step-by-step explanation:
the probability of getting exactly 3 heads when a coin is flipped 8 times in a row is: 7/32.
PLEASE HELP ME!!! :'(
1. Create a data set with at least 5 values.
2. Write instructions that tell a friend how to find the mean absolute deviation of your data set.
Answer: KINDLY CHECK EXPLANATION
Step-by-step explanation:
Given the data:
1) dataset:
My data(x) : 2, 4, 6, 8, 10
2) to calculate the mean absolute deviation of the data above :
Step 1: Find the mean (m) of the dataset (my data)
Mean(m) = sum of values in my data / number of observations in my data (n)
m = (2+4+6+8+10) / 5
m = 30 / 5 = 6
The mean absolute deviation(MAD) :
Sum of The absolute value of the difference between values in my data and the mean value (m) Divided by the number of observations.
MAD = (Sum of |x - m|) / n
MAD = (|2-6| + |4-6| + |6-6| + |8-6| + |10-6|) / 5
MAD = (4 + 2 + 0 + 2 + 4) / 5
MAD = 12 / 5
MAD = 2.4
D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF?
Answer:
m∠DEF is 90°
Step-by-step explanation:
It is given that D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. Thus, using the distance formula, we have
⇒
⇒
and
⇒
⇒
Also,
⇒
⇒
Now,
⇒
⇒
Thus, Pythagoras theorem holds.
Hence, m∠DEF is 90°⇒ΔDEF is right angled triangle which is right angled at E.
DE^2 = 1 + 16 = 17.
EF^2 = 16 + 1 = 17.
DF^2 = 9 + 25 = 34.
Since (DE)^2 + (EF)^2 = (DF)^2,
angle E is 90 degrees.
DF must be the hypotenuse
Here look at that
WILL MARK BRAINIEST IF CORRECT!!!
1) Write a real-world problem that can be represented by the inequality 8x - 15 ≥ 25.
2) What do the values in the solution set represent in your problem?
Answer:
Look below
Step-by-step explanation:
8 boxes of toothpicks were given to at LEAST 25 students but 15 threw them out
8x= 8 boxes
At least 25= no less than 25 students
-15= the 15 that threw them out
x=boxes
the people= All real numbers
HOPE THIS HELPS!!!
Answer:
1 2 3 4
Step-by-step explanation:
5x+2y=57 what is x and y equal to?
ffefefertjuylijhq DS3NUFHUFH4UFUFHUFUEFNUEFNUEFN
Please help me ASAP (Each choose is Yes/No)
Answer:
MARK me brainliest please
Step-by-step explanation:
yes
yes
no
no
yes
Whích quadratic inequality does the graph below represent?
у
5
4
3
2
1
→
wa-
5-32
12
3
5
2
Answer:
The third option
Step-by-step explanation:
first, you can eliminate the 2nd and the 4th option because the vertex of the graph is located at -3, and not 3. The reason it is not the 1st option is, because of the greater than or equal to sign, this inequality actually shows the white area.
Therefore, leaving the 3rd option. The y-intercept is correct, it is -3. The sign is also correct, because on the axis of the quadratic, -3 is the highest possible y-intercept. So y has to be less than or equal to -3.
Hope this helps! :D
Solve 2x+2>10
A. x < 4
B. x > 4
C. x > 6
D. x < 6
Answer:
B
Step-by-step explanation:
2x+2>10
2x>10-2
x>8/2
x>4
Please help ASAP
These box plots show the number of electoral votes won by the democratic and republican candidates for the elections 1984 through 2012
Answer:
A.
Step-by-step explanation:
The interquartile range for republicans is 185.5. The interquartile range for democrats is 186.5.
367.5 - 181 = 186.5
356 - 170.5 = 185.5
Answer:
A
Step-by-step explanation:
what is the volume of a right trianular prism with the dimesions of 15 11 17
Answer:
1402.5 Cubic Units
Step-by-step explanation:
Volume of a Triangular Prism: V = [tex]\frac{1}{2}bhl[/tex]
b - base
h - height
l - length
15 is the height, 17 is the length, and 11 is the width (assuming which is the base).
[tex]V=0.5 * (11 * 15 * 17) \\V=0.5*2085\\V=1402.5[/tex]
The volume of the prism should be 1402.5 cubic units.
The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
Triangle 1:25°, 35
Triangle 2: 25°, 120
Triangle 1: 100°, 60°
Triangle 2: 100°, 20°
Triangle 1: 90°, 45
Triangle 2: 45°, 40
Triangle 1: 37", 63
Triangle 2:63', 107
Triangle 1: 90° 20°
Triangle 2: 20°, 90°
Answer:
Triangle 1: 90°, 20°
Triangle 2: 20°, 90°
Step-by-step explanation:
According to AA or Angle-Angle Similarity, any two triangles with two of the same angle measurements are similar. Only Triangle 1: 90°, 20° and Triangle 2: 20°, 90° have the same two angle measurements.
Which best describes the relationship between the line that passes through the points
Answer:
Neither perpendicular nor parallel.
Step-by-step explanation:
To find the answer, you just need to find the slopes of each line.
The slope of the line with points at (-6, 5) and (-2, 7) would be (7 - 5) / (-2 + 6) = 2 / 4 = 1/2.
The slope of the line with points at (4, 2) and (6, 6) would be (6 - 2) / (6 - 4) = 4 / 2 = 2.
They are most definitely not the same line.
They are not perpendicular, either, since although they are [eek I forgot the term for it] opposites, they are both positive. To be perpendicular, one slope must be negative and the other positive.
They are not parallel, since the slopes are not the same.
So, the relationship between the lines are that they are neither parallel nor perpendicular.
Hope this helps!
what is y=2/3x-4 graphed
Answer:
Please see attached
Step-by-step explanation:
how many tiles 4 inches on a side should be used to cover a portion of a wall 56 in Long by 32 in high
Find the area of the triangle. a) 225 units2 b) 75√3 units2 c) 150√3 units2 d) 27.5√3 units2
Answer:
Thus, area of triangle is [tex]225/\sqrt{3}[/tex]
Step-by-step explanation:
Area if triangle is given by 1/2( base*height)
Given
Height = 15 units
also one angle is given as 30 degrees
we know Tan of any angle is ratio of perpendicular and base
[tex]tan\alpha = perpendicular /base[/tex]
lets calculate tan 30 in the given triangle
we will take the smaller triangle containing angle 30 degrees and right angle
perpendicular will be half of base of triangle
base will be side with length 15 units
tan30 = perpendicular/15
[tex]1/\sqrt{3} = perpendicular/15\\=> perpendicular = 15/\sqrt{3}[/tex]
Thus, half of base of full triangle is [tex]15/\sqrt{3}[/tex]
so full base will be [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]
Full full triangle
height = 15 units
base = [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]
Thus, area of triangle is [tex]1/2* 30/\sqrt{3}*15= 225/\sqrt{3}[/tex]
the quotient. Simplify your answer
b - 4
b
4
Enter the
Answer:b-4/4
Step-by-step explanation:
Does anyone know how to do all of this
Answer:
price paid of speakers= £40.5
price paid of headphones=£ 5.6
price paid of book=£6.65
price paid of mobile phone=£42
price paid of mouse=£ 15.75
price paid of DVD=£11.05
solution,
1. Cost of speakers:
Discount percent=10 %
Marked price=£45
discount amount= discount % of MP
=10% of 45
=£4.5
Selling price= MP - discount amount
=£45-£4.5
=£ 40.5
2. cost of headphones:
discount amount= discount% of MP
=20% of 7
=£1.4
Selling price= MP- Discount amount
=£7-£1.4
=£ 5.6
3. cost of books:
discount amount= discount percent of MP
= 30% Of 9.50
=£ 2.85
selling price= MP- Discount amount
= £ 9.50-£2.85
=£ 6.65
4. cost of mobile phone:
discount amount= discount% of MP
=40% of 70
=£ 28
selling price= MP- Discount amount
=£70-£28
=£ 42
5. cost of mouse:
discount amount= discount% of MP
= 25% of 21
=£ 5.25
selling price= MP- Discount amount
=£21-£5.25
=£ 15.75
6. cost of DVD:
discount amount= discount % of MP
= 15% of 13
= £ 1.95
selling price= MP- discount amount
=£ 13 -£ 1.95
=£ 11.05
Hope this helps...
Good luck on your assignment..
Find the total surface area of this square based
pyramid.
Answer:
125
Step-by-step explanation:
Surface area is the total area of all the surfaces of a shape. In order to calculate the surface area we need to consider each unique face individually.
The base of the pyramid is a square of side-length 5, and its area is 5×5=25
The side faces form an iscosoles triangle of height 10 and base length 5, its area is 10×5×[tex]\frac{1}{2}[/tex]=25.
The total surface area = Triangle +Triangle +Triangle +Triangle +Square = 25+25+25+25+25 = 125
80g of a 35% salt solution
Answer:
The total weight is 80g, this is equal to the weight of the salt in the mixture plus the weight of the water in the mixture.
Ws = Weight of the salt
Ww = Weight of the water.
Then:
Ww + Ws = 80g
and the solution is 35% salt, so we have:
Ws/80g = 0.35
We must solve the system of equations, we can write the second equation as:
Ws = 80g*0.35 = 28g
Then we have 28 grams of salt, and the other 62g must be of water.
Step-by-step explanation:
Let x represent the weight of the salt
Let y represent the weight of the water
We know x + y = 80g total
If the salt solution is 35%, we can write the following equation:
x/80g = 0.35
x = 80g x 0.35 = 28
28 grams
Which of the following ratio is equivalent to this ratio: 4:5
1)8:5
2) 8:16
3) 8:10
4) 2:3
Answer:
3) 8:10
Step-by-step explanation:
You can simply multiply the entire ratio by 2 to get your answer:
2(4:5)
2(4):2(5)
8:10
What is the value of xx) = 9^x when x= -2?
A. 1/81
B. 81
C. 1/81
D. 18
Answer:
C. [tex]9^{-2} = \frac{1}{81}[/tex]
Step-by-step explanation:
Given
[tex]9^{x}[/tex]
Required
Find the expression where x - 2
[tex]9^{x}[/tex]
Substitute 2 for x
[tex]9^{-2}[/tex]
From law of indices which states
[tex]a^{-b} = \frac{1}{a^b}[/tex]
So, the expression becomes
[tex]9^{-2} = \frac{1}{9^2}[/tex]
Expand the denominator
[tex]9^{-2} = \frac{1}{9 * 9}[/tex]
[tex]9^{-2} = \frac{1}{81}[/tex]
Hence, [tex]9^{x}[/tex] is [tex]\frac{1}{81}[/tex] when x = 2
Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH. Circles F and J are congruent. Line segments F E and F D are radii. A line connects points E and D to form a triangle. Line segments J H and J G are radii. A line connects points H and G to form a triangle. Angles D F E and G J H are congruent. m∠DFE = 80°. What is the measure of arc Arc G H? °
Answer:
[tex]mGH=80^\circ[/tex]
Step-by-step explanation:
Circle F and J are congruent.
[tex]\angle DFE \cong \angle GJH[/tex]
Given that: m∠DFE = 80°
DFE is the central angle of the circle F.
The measure of arc GH is equal to the central angle of Circle J.
Since both circles are congruent
[tex]mGH=\angle DFE = 80^\circ[/tex]
The measure of arc GH is 80 degrees.
Answer:
Arc GH=80°
Step-by-step explanation:
Edge 2020
BRAINLIEST!!! Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It took Mary 25 seconds longer to come down than to go up. How many steps does the Old Tower have?
Answer:
The old tower has 65 steps.
(I think,)
Answer:
150 steps
Step-by-step explanation:
For every 6 steps going up it takes a extra 1 second to go down. Since it took Mary 25 seconds longer to get down you multiply 6 by 25 and you'll get 150 steps.
Think of a number, multiply it by 6 and increase the product by 7. It will equal a number, multiplied by 2 and
then increased by 6. What number is it?
1
4
1
10
ent
1
8
Answer:
x = -1/4
Step-by-step explanation:
Step 1: Write out 1st equation
6x + 7
Step 2: Write out 2nd equation
2x + 6
Step 3: Set equal to each other
6x + 7 = 2x + 6
Step 4: Solve
4x + 7 = 6
4x = -1
x = -1/4
Triangle ABC is rotated 180° using the origin as the center of rotation.
Answer:
The third answer- a reflection over the x axis then a reflection over the y axis
Answer:the answer is C
Step-by-step explanation:I took the test
HELP!
After a rotation, A(-3, 4) maps to A'(4, 3), B(4, -5) maps to B'(-5, -4), and C(1,6) maps to C'(6, -1). Which rule
describes the rotation?
R0, 90°
R0, 180°
Ro, 270°
RO, 360°
270 degree counterclockwise rotation around the origin
=============================================================
Check out the diagram below. In the diagram, I only focus on points A and A'.
We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is [tex](x,y) \to (y,-x)[/tex] which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation
The other points follow the same idea.
Answer:
c
Step-by-step explanation:
Use the graph of f to describe the transformation that results in the graph of g. f(x) = log x; g(x) =
Hey there!
Answer:
2nd choice, The graph of g(x) is the graph of f(x) reflected in the x-axis, expanded vertically by a factor of 5, and translated 8 unit(s) down.
Step-by-step explanation:
Recall that the transformation form of a logarithmic function is:
y = ±alog(b(x-h))+k
Given g(x) = -5logx-8:
Negative in front of equation: reflection over the x-axis
'a' value of 5: expanded vertically by a factor of 5
'k' value of -8: translated 8 unit(s) down.
A department store sells logo shirts at an original price of $20.
Answer:
Answer is below.
Step-by-step explanation:
Macy forgot that a discount of 25% means the cost is multiplied by 75%.
Take the original price of the shirt, $20, times 75% for each month and times 50% for the employee discount.
20 x 0.75 x 0.75 x 0.50 = $5.63 is the price of the shirt for the employees using all of the discounts.
find the area of the figure below. round your answer to the nearest tenth
Step-by-step explanation:
Area 1 = the rectangle
8×3=24cm²
Area 2= semi circle
3.14r² 314/100×4×4 = 50.24cm²
add. 24+50.24 = 74.24cm² ( 10th)
= 74.2In a class of 80 students, every student had to study mathematics or biology or both mathematics and biology ,If 65 students studied mathematics and 62.5% of teh class studies biology ,how many students studied both subjects.pls detial properly
Answer:
Well, 80 x 62.5% is 50.
So, 65 + 50 is 115.
I think there is a mistake in the question
Well, It could not, but please check again TT
Step-by-step explanation:
Lindsey lives 32 blocks from the grocery store. It takes her 9 minutes to walk 12 blocks. If she continues to walk at the same rate, how long would it take her to walk 32 blocks?
Answer:
if she countinues to walk at that rate it will take her 24 minutes to walk the 32 blocks
Step-by-step explanation:
i took the 12 blocks every 9 minutes and counted for a total of 36 blocks which would take 27 minutes then since we want to know how long it would take for her to walk 32 blocks I found how long it would take her to walk 4 blocks which is 3 minutes (12/3 = 4 9/3 =3) and i subtracted those 3 minutes from the 36 block walk giving you 24 minutes for 32 blocks
hope this helps