The required probability for the given case is obtained as 1/6.
What is probability?Probability is the measurement of the chance for a random event.
It is the ratio of the favorable outcome to the total possible outcome.
It always lies in the interval [0, 1].
The sample space for the given case can be written as follow,
The total number of sample space elements are,
Possible outcomes for coin × Possible outcomes for cube
= 2 × 6 = 12
Now, the number of favorable outcomes for the given event is as below,
Number of head × Number of numbers less than 3
= 1 × 2 = 2
Now, the probability is given as,
P(Head on coin and less than 3 on cube) = 2/12 = 1/6
Hence, the probability of getting heads on the coin and a number less than 3 on the number cube is given as 1/6.
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Show me how to solve
Answer:
0
Step-by-step explanation:
all the details see in the attached picture, note (sinx)/x (when x->0) is 1.
\sqrt{-x+26}=x-6 −x+26=x−6
Answer:
x = 1 and 10
Step-by-step explanation:
Given the equation \sqrt{-x+26}=x-6, we are to find the value of x
Take the square of both sides
(\sqrt{-x+26})²= (x-6)²
-x+26 = (x-6)²
Expand the parenthesis
-x+26 = x²-12x+36
x²-12x+36+x-26 = 0
x²-11x+10 = 0
x²-10x-x +10 = 0
x(x-10) -1()-10) = 0
(x-1)(x-10) = 0
x - 1 =0 and x - 10 = 0
x = 1 and 10
Hence the value of x is 1 and 10
6) Four bacteria are placed in a petri dish. The population will double every day. The formula for the
number of bacteria in the dish on day tis
N(t) = 4(2)
where t is the number of days after the four bacteria are placed in the dish. How many bacteria are
in the dish five days after the four bacteria are placed in the dish?
Answer:
128
Step-by-step explanation:
N(t)=4(2)^t
N(t)=4(2)⁵
N(t)=4(32)
N(t)=128
Which situation can be represented by the equation y = 5x?
Answer: answer is 5
Step-by-step explanation:
someone please help me answer this!!
Answer:
10 units is the answer.
Step-by-step explanation:
points are (-3,2) and (-9,-6)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(-9-(-3))^2 + (-6-2)^2}\\\\d=\sqrt{(-6)^2+(-8)^2} \\\\d=\sqrt{36+64} \\\\d=\sqrt{100} \\\\d=10[/tex]
∴ distance between the points = 10 units
Please guys helppp ;( F(x)=mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b
Answer:
73) C) -1
74) D) 1
Step-by-step explanation:
The only combination that equals 3 is
f(x)=(-1)(-2)+1=3
73) -1
74) 1
A rectangle has a length of 12 meters and a width of 500 centimeters. What is the
area of the rectangle in meters?
1 meter = 100 centimeters
Answer:
600m / 600 metres
Step-by-step explanation:
12 m = 1200cm
1200cm × 500cm = 600,000cm
600,000cm = 600 m
Its 600m,
good luck,
:3 :3
A sixty-minute television program has 5 commercial breaks. Each break lasts 2 minutes. Write a numerical expression that represents the length of the program without commercial breaks. *
Answer: 60 - 10
Step-by-step explanation:
There are 5 commercial breaks with each of the breaks lasting 2 minutes.
Commercial breaks in total therefore last:
= 5 * 2
= 10 minutes.
The program is a 60 minute program so to find the amount of time the program lasts without the commercials, the expression is:
= 60 - 10
It lasts 50 minutes without commercials.
If the measure of ∠C and ∠T are supplementary and the measure of ∠T is 120º, what is the measure of ∠C?
Answer:
60
Step-by-step explanation:
180-120
Please help! Picture attached!
Answer:
6.2
Step-by-step explanation:
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(5.5−1)2+(9.25−5)2(5.5-1)2+(9.25-5)2
= √4.52+4.2524.52+4.252
= √20.25+18.062520.25+18.0625
= √38.312538.3125 = 6.1897
This equation shows how the money Kensington Middle School spends on workbooks is related to the total number of workbooks they buy.d = 64.6tThe variable t represents the number of workbooks bought by the school, and the variable d represents the total cost of those workbooks. At most how many workbooks can Kensington Middle School buy if it has $64.60 to spend?
Answer:
1 workbook
Step-by-step explanation:
Equation:
d = 64.6t
Given:
d = total cost
t = number of workbooks
Work:
d = 64.6t
64.6 = 64.6t
t = 64.6/64.6
t = 1
Answer: 1 work book t=1
Step-by-step explanation:
Can someone help me pls I’m stuck
Answer:
∠A = 53.58°
Step-by-step explanation:
cos A = 19/32 = 0.5938
∠A = 53.58°
Which is bigger 1/4 or 3/5
Answer:
3/5
Step-by-step explanation:
Tyler’s brother earns $14 per hour. The store offers him a raise... an 8% increase per hour. After the raise, how much will Tyler’s brother make per hour?
answer of the question
Answer:
The number of milk chocolate pieces is between 115 and 120 pieces.
Step-by-step explanation:
Answer plz i will give brainliest
Answer:
B
Step-by-step explanation:
ASAP GIVING BRAINLIEST ASAP
Answer:
202
Step-by-step explanation:
70+32 would equal 102, then you would times 102 by 2 and the answer would be 202
Brainliest?
If you borrowed $646 at an interest rate of 5% for 6 years, how much interest will you pay? Round to the nearest tenth if necessary.
PLEASE HELP!!!!!!!!!!
Answer:
Total interest you will pay is $103.07.
The total you will pay for interest and loan amount is $749.07
iStep-by-step explanation:
Complete the following table based on Absolute and Relative change. (Write your relative change as a percentage with a percent sign rounded to the nearest whole percent.)
Time
Value
Absolute Change
Relative Change
0
13.60
1
17.00
2
21.25
3
26.56
4
33.20
5
41.50
The relative change is solved as percentages and the absolute change is also solved
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the initial value be represented as A = 13.60 at time t = 0
Now , when the value is changed to 17.00
The absolute change = 17.00 - 13.60 = 3.40
The relative change = 3.40 / 13.60 = 0.25 = 25 %
Now , the percentage = 25 %
And , when the value is changed to 21.25
The absolute change = 21.25 - 17.00 = 4.25
The relative change = 4.25 / 17.00 = 0.25 = 25 %
And , when the value is changed to 26.56
The absolute change = 26.56 - 21.25 = 5.31
The relative change = 5.31 / 21.25 = 0.25 = 25 %
Now , the percentage = 25 %
And , when the value is changed to 33.20
The absolute change = 33.20 - 26.56 = 6.64
The relative change = 6.64 / 26.56 = 0.25 = 25 %
And , when the value is changed to 41.50
The absolute change = 41.50 - 33.20 = 4.25
The relative change = 8.3 / 33.20 = 0.25 = 25 %
Now , the percentage = 25 %
Hence , the relative change is given by the equation A = 25 %
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1. Which of the following is not a true statement?
Group of answer choices
Angle 1 and Angle 3 are supplementary angles.
Angle 2 and Angle 7 are congruent
Angle 5 and Angle 8 are congruent.
Angle 3 and Angle 7 are supplementary angles.
[tex]\bf{Hello!}[/tex]
Angle 3 and Angle 7 are supplementary is the wrong statement
Because, they are corresponding angles and they are equal.
I need help I’ll mark brainy
Answer:
14.75
Step-by-step explanation:
12.50*0.18 = 2.25
12.50 + 2.25 = 14.75
Ziyad is hoping to start his own lawn care business in Gettysburg, PA. Gettysburg has about 2,400 households. Ziyad went to
three different gas stations in Gettysburg and asked every tenth adult if they would be interested in using lawn care services
in the future. Of the adults he surveyed, 92 said yes, 51 said no, and 17 said they weren't sure.
Based on his results, how many households in Gettysburg are likely interested in using lawn care services?
Answer:
1380 households in Gettysburg are likely interested in using lawn care services
Step-by-step explanation:
To solve this question, we find the sample proportion and estimate for the entire population.
Sample proportion of households in Gettysburg that are likely to be interested in using lawn care services?
92 of 92 + 51 + 17 = 160 households.
92/160 = 0.575
Based on his results, how many households in Gettysburg are likely interested in using lawn care services?
Sample proportion of 0.575.
For the entire population of 2400 households:
0.575*2400 = 1380
1380 households in Gettysburg are likely interested in using lawn care services
I can't figure this out
9514 1404 393
Answer:
143 in²
Step-by-step explanation:
The figure is dimensioned in such a way that it can be divided easily into three rectangular areas. The top rectangle is 10 in wide and 7 in high. The vertical rectangle below that is 4 in wide and 12 in high, and the square appendage on the right is 5 in square.
Then the total area is the sum of products of length and width:
A = (10 in)(7 in) + (4 in)(12 in) + (5 in)(5 in) = (70 +48 +25) in²
A = 143 in²
The area of the irregular figure is 143 in².
Find the value of x in the triangle below
Answer:
50
Step-by-step explanation:
a triangle's angles add up to 180 degrees.
100-80=100
since two of the sides are the same length, the two angles must also be the same so you just divide 100 by two
100/2=50
Volume by multiplying area of base times height
Answer:v= x a h add then multiply
Step-by-step explanation:
2020-2021-T-Math-Gr05-T11 Question: 1-16
Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, width, and height of 6 feet. What is the volume of the recycling container?
0 36 cubic feet
72 cubic feet
O 216 cubic feet
O 396 cubic foet
Given:
The side length of a cube is 6 feet.
To find:
The volume of the cube.
Solution:
We know that the volume of a cube is:
[tex]V=a^3[/tex]
Where, a is the side length of the cube.
Putting [tex]a=6[/tex] in the above formula, we get
[tex]V=(6)^3[/tex]
[tex]V=216[/tex]
The volume of the cube is 216 cubic feet. Therefore, the correct option is C.
Emanuel read 150 pages in 5 hours.
Find his average reading rate.
Answer:
30 pages per hour
Step-by-step explanation:
$1,000 at 9% compounded semiannually for 2 years
Answer:
Total = principal * (1 + rate / compounding periods ) ^ years * compounding periods
Total = (1,000 * (1 + .09 / 2)^2*2)
Total = (1,000 * (1.045)^4
Total = (1,000 * 1.1925186006)
Total = 1,192.52
Source: http://www.1728.org/compint3.htm
Step-by-step explanation:
-4x-6 whats the answer ? :)
Answer:
24 I think???
Answer:
-1.5
Step-by-step explanation:
-4x-6=0
+6 +6
-4x=6
---------
-4
x=-1.5
-4(-1.5)-6=0
6-6=0
0=0
The period is . On a coordinate plane, the points on a function curve are shown. The curve crosses the y-axis at (0, 5) and then decreases to the minimum. The minimum is at (0.748, 2) and the maximum is at (1.870, 6). After the green point, the curve increases and then decreases again. A green point is at y = 4.
The Period of the Function Curve with the green point at y = 4 on the given coordinate plane is; 2.244
How to find the period of a wave?We are given;
Minimum Point; (0.748, 2)
Maximum Point; (1.870, 6)
The green point is the lowest point and from drawing the curve, we see that the next highest point coordinate is (4.114, 6).
The period is the x-coordinate distance between the two highest points. Thus;
Period of wave = 4.114 - 1.87
Period of wave = 2.244
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Answer:
Here are the correct answers:
Step-by-step explanation:
~Hope this helps! :)