Step-by-step explanation:
Probability of heads is 1/2, and the probability of tails is 1/2. The probability of getting no heads (3 tails) is:
P = (1/2)³
P = 1/8
P = 0.1250
Simplify.
-(1 - 3)2 - 2x2
Find x so the distance between the points (x,2) and (-1,-2) is [tex]2\sqrt{5}[/tex]
x =_____ , ______
Answer:
x = -5 , 3
Step-by-step explanation:
(x₁ , y₁) = (-1, -2) & (x₂, y₂) = (x , 2)
[tex]Distance =\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\\\\sqrt{(x - [-1])^{2}+(2-[-2])^{2}}=2\sqrt{5}\\\\\sqrt{(x+1)^{2}+(2+2)^{2}}=2\sqrt{5}\\\\\sqrt{(x)^{2}+2x+1+(4)^{2}}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+1+4}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+5}=2\sqrt{5}[/tex]
Take square both sides,
x² + 2x + 5 = (2)²(√5)² {(√5)² = √5*√5 = 5 }
x² + 2x +5 = 4 * 5
x² + 2x + 5 = 20
x² + 2x + 5 - 20 = 0
x² + 2x -15 = 0
x² + 5x - 3x - 5*3 = 0
x(x + 5) -3(x + 5)=0
(x + 5)(x - 3) = 0
x + 5 = 0 ; x - 3 = 0
x = -5 ; x = 3
x = -5 , 3
Fifteen greater than y is at least 150
Answer:
y ≥ 135 or
y is at least 135
Step-by-step explanation:
Fifteen greater than y is at least 150
y + 15 ≥ 150y + 15 - 15 ≥ 150 - 15y ≥ 135Which means: y is at least 135
Help! I need help with question 2 and 3. Thanks.
Answer:
Answer: SW IS 1.5 OKKKKKKKKK
The triangle below is an equilateral triangle. What is the perimeter of the triangle?
Answer:
[tex]5.4x+15[/tex] inches
Step-by-step explanation:
This is an equilateral triangle.
Therefore, all sides are equal to each other. This means that we don't need to go through the whole hassle of adding up all the sides together. We can just take the easiest side and multiply it by 3 (as the perimeter of an equilateral triangle is [tex]3s[/tex], s being the side length.)
In my opinion, the side [tex]1.8x+5[/tex] is the easiest to work with.
Let's multiply this by 3.
[tex]3(1.8x+5)[/tex]
We can apply the distributive property - multiply all terms inside the parentheses by 3.
[tex]1.8\cdot 3 = 5.4\\5\cdot3 = 15\\\\5.4x+15[/tex]
Hope this helped!
Problem Solving Skills
Answer the questions below. Use the Problem Solving Skills that we discussed in class.
Look back in your notebook if you need a reminder.
7) Suppose that x and y are rational numbers such that x >y. Which of the following
inequalities must be true?
A. (x/>ly/
B. X'>y'
C. x+y > 0
D. X-y> 0
Answer:i think the answer is A(x/.ly/
Step-by-step explanation:
Answer:
D. x - y > 0
Step-by-step explanation:
Given:
x > y
Solution:
x - y > y - y . . . . . subtract y from both sides
x - y > 0 . . . . matches choice D
There are 230 calories in a 48 g packet of M& M's. How many calories are in a 9.6 g bag?
Answer:
The answer is
46 caloriesStep-by-step explanation:
In order to solve this question we use ratio and proportion
From the question there are 230 calories in 48g of M & M's
That's
If in 48g of M & M's we have 230 calories
9.6 g will contain
[tex] \frac{9.6 \times 230}{48} \\ = \frac{2208}{48} [/tex]
We have the final answer as
46 calories
Hope this helps you
I need help if anyone can help me and explain it how to do it
Step-by-step explanation:
h(x) = f(g(x)), so h(x) is the same as g(x) substituted into f(x).
In this case, we can say f(x) = √x, and g(x) = 5x + 30.
f(g(x)) = √(5x + 30)
Name a line by any two points on the line, or a lowercase script letter.
Answer:
Step-by-step explanation: A B
Lines can be named using any two points on the line or using a single cusive lowercase letter.
Solve for r in terms of s, t, and u.
t=u-s+r
Answer:
r = t - u - s
Step-by-step explanation:
To solve for r in terms of s, t, and u, means to have r on one side and have t, u, and s.
t = u - s + r
t - u = s + r
t - u - s = r
Help please thanks.
Answer:
Step-by-step explanation:
[tex]\sqrt{1}[/tex] -2 / 6 = (1-2)/6= -1/6= .2 (rounded to tenth)
Between 9 P.M. and 6:10 A.M., the water level in a swimming pool decreased by 5/12. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
in 9 hour 10 minutes the water level decreased = 5/12
in 550 minutes the water level decreased = 5/12
in 60 minutes the water level decreased = (5/12)/550*60
= 1/22
Step-by-step explanation:
The rate of which water level decreases is 1/22 per hour.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Between time interval 9 P.M. and 6:10 AM,
The water level in the swimming pool decreases by 5/12.
To find the rate of decreasing water,
Total time duration = Final time - initial time = 9 : 10 hours = 540 + 10 = 550 minutes.
Since, in 550 minutes the water level decreases by 5/12.
To find water level decreases in each hour,
Use ratio property,
550 minutes = 5/12 decreases
1 minutes = 5/12 x 1/550 decreases
60 minutes = (5/12) x (60 / 550)
= 1 / 22
In each hour the water level decreases by 1/22.
To know more about Ratio on:
https://brainly.com/question/23724140
#SPJ2
At the beginning pf the week , naveen had 87 trading cards. On monday he gets 9 more on tuesday he foves 16 away on wensday he us given 3 by a friend on thrusday he sells all of his cards to a collecter the coolecter pays him arate of c for every card that naveen has. If naveen earns 124.50 from the sale what is c the rate that the collecter pays for each card
What is the area of the figure below
Answer:
22cm
Step-by-step explanation:
7+3=10
10+8=18
18+4=22
I can go alone and fly and get 20% off
the regular round-trip fare of $380.
I will have to take a taxi to and
from the college at a cost of $6.30 per
trip. I will have to be on compus
for 2 extra meals at a cost of $4.75 per
meal, and I will need to make
telephone calls to my parents at a cost
of $15.
What is the price of the student round-trip fare?. What is the total cost of the taxi fare?. What is the total cost to visit the college
Given vertex form, how do you think changing the value
of "h" will transform the parent function (y = x²).
Donna arranges 32 tiles in equal rows, as shown below. Which expression
represents the number of tiles in each row?
32 x 4
32 + 4
32 : 4
32 - 4
Which y values are represented on the graph below?
Need help with these
Answer:
a. 0.07
b. 0.17
c. 0.333
d. 0.417
11 = 4/5h - 1 solve for h
Answer: h = 15
Step-by-step explanation: 4/5 x 15 = 60/5 = 12, 12 - 1 = 11.
Tthe diagonals of a rectangle are twice as long as the shorter sides. calculate the angle between a diagonal and a short side.
Answer:
30°
Step-by-step explanation:
Let the length of shorter side of rectangle be x units.
Therefore, length of diagonal = 2x
In order to calculate the angle between a diagonal and a short side, we need to find the sin ratio of shorter side and diagonal of rectangle.
Let the measure of angle formed between shorter side and diagonal be [tex] \theta [/tex].
[tex] \therefore \sin \: \theta = \frac{x}{2x} \\ \\ \therefore \sin \: \theta = \frac{1}{2} \\ \\\therefore\sin \: \theta = \sin \: 30 \degree \\ ( \because \: \sin \: 30 \degree = \frac{1}{2}) \\ \implies \: \huge \red{ \boxed{\therefore\theta = 30 \degree }}[/tex]
L is the midpoint of KM. If KL = 14x and KM = 26x + 14, what is KL? Simplify your answer and write it as a proper fraction, mixed number, or integer. Please type the answer step by step.
Answer:
Step-by-step explanation:
L is the midpoint of KM. So, length of KL = length of LM
KL = LM = 14x
KL + LM = KM
14x + 14x = 26x + 14 {add the like terms}
28x = 26x + 14 {subtract 26x form both sides}
28x - 26x = 14
2x = 14 {divide both side by 2}
2x/2 = 14/2
x = 7
KL = 14x = 14*7
KL = 98
What is a possible value of x if -5 < x< 0?
Answer:
x=-4,-3,-2or-1
Step-by-step explanation :0
Please help with this problem. Thanks.
Answer:
Acute, angle C = 13
Step-by-step explanation:
replace x with 9
multiply 12(9) = 108
subtract 108 -17 = 91
divide 91 by 7 = 13
[tex]m[/tex]∠[tex]C=13[/tex] so its acute
V - W = uvw, solve for w
how do I do that?
Answer:
[tex]W=\frac{V}{UV+1}[/tex]
Step-by-step explanation:
[tex]V-W=UVW\\\\V-W+W=UVW+W\\\\V=UVW+W\\\\V=UVW+W\\\\V=W(UV+1)\\\\\frac{1}{UV+1}(V)= \frac{1}{UV+1}(W)(UV+1) \\\\W=\frac{V}{UV+1}[/tex]
Choose whether the sum is positive, negative,
or zero.
-3 + 3 is
The answer is zero
-n+n=0 Always
I really need help . 12 points
Answer:
it the 2nd or last one but i think its the 2nd one
Answer:
it is last no. cause no negative or decimal are counted as order pair
Step-by-step explanation:
I guess I was help full for u
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simplify 5-(-1) Quickly answer pls
Answer:
5-(-1)
5+1
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
5-(-1)
5+1
= 6
1. Is a blender a convection,conduction,or a radiation? please help
Answer:
Convection! :)
Step-by-step explanation:
Find the value of x in the diagram below
Answer:
x = 13
Step-by-step explanation:
a^2 + b^2 = c^2
5 = a 12 = b
5^2 + 12^2 = c^2
25 + 144 = c^2
c^2 = 169
square root of 169 = 13