Answer:
-1
Step-by-step explanation:
Answer:
- 1/6 is correct
perpendicular refers to the opposite of 1/6 therefor being negative 1/6
Step-by-step explanation:
The small squares on a chessboard can be combined to form larger squares. For example, there are sixty-four 1x1 squares and one 8x8 square. Use inductive reasoning to determine how many 2x2 squares, 3x3 squares, and so on, are on a chessboard. What is the total number of squares on a chessboard?
Answer:
204
Step-by-step explanation:
Given that a 1x1 square can be located in 8 places horizontally and 8 places vertically,
Then we have 1x1 squares: 8² = 64
Again the subsequent squares will be written as
2x2 squares: 7² (2 squares in 7 places both horizontal and verticals) = 49
3x3 squares: 6² (3 squares in 6 places both horizontal and verticals)= 36
4x4 squares: 5² (4 squares in 5 places both horizontal and verticals)= 25
5x5 squares: 4² (5 squares in 4 places both horizontal and verticals)= 16
6x6 squares: 3² (6 squares in 3 places both horizontal and verticals)= 9
7x7 squares: 2² (7 squares in 2 places both horizontal and verticals)= 4
8x8 squares: 1² (8 squares in 1 places both horizontal and verticals)= 1
Hence, the total number of squares on chessboard is 1+4+9+16+25+36+49+64 = 204.
According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose that twenty-one adults in the United States are selected randomly. What is the probability that more than five of the selected adults save nothing for retirement
Answer:
0.769296
Step-by-step explanation:
The desired probability can be calculated from binomial probability distribution because there are 21 independent trials and probability of success(saving nothing for retirement) 0.2 remains same for each trial. Here, n=21 and p=0.20. We want to compute P(X>5).
The pdf of binomial distribution is
P(X=x)=nCx(p)^x(1-p)^(n-x)
P(X>5)=1-P(X≤5)
P(X≤5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
P(X=0)=21C0*(0.2)^0*(1-0.2)^(21-0)=0.009223
P(X=1)=21C1*(0.2)^1*(1-0.2)^(21-1)=0.048423
P(X=2)=21C2*(0.2)^2*(1-0.2)^(21-2)=0.121057
P(X=3)=21C3*(0.2)^3*(1-0.2)^(21-3)=0.191673
P(X=4)=21C4*(0.2)^4*(1-0.2)^(21-4)=0.215632
P(X=5)=21C5*(0.2)^5*(1-0.2)^(21-5)=0.183287
P(X≤5)=0.009223+0.048423+0.121057+0.191673+0.215632+0.183287
P(X≤5)=0.769296
P(X≤5) can also be computed by using excel function BINOM.DIST(5,21,0.2,TRUE) which results in
P(X≤5)=0.769296.
The probability that more than five of the selected adults save nothing for retirement is; P(X > 5) = 0.239928
We are told that 20% of adults in the US save nothing for retirement. Thus;
p = 20% = 0.2
21 adults are selected randomly. Thus;
n = 21
Probability that more than five of the selected adults save for retirement is gotten from formula for binomial probability distribution which is;
P(X = x) = nCx × p^(x) × (1 - p)^(n - x)
Thus;
P(X > 5) = 1 - P(X ≤ 5)
Where;
P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
P(X = 0) = 21C0 × 0.2^(0) × (1 - 0.2)^(21 - 0) =
0.009223
Using online binomial probability calculator, we can find the remaining as;
P(X = 1) = 0.048423
P(X = 2) = 0.121057
P(X = 3) = 0.191673
P(X = 4) = 0.215632
P(X = 5) = 0.183287
Thus;
P(X ≤ 5) = 0.048423 + 0.121057 + 0.191673 + 0.215632 + 0.183287
P(X ≤ 5) = 0.760072
Thus;
P(X > 5) = 1 - 0.760072
P(X > 5) = 0.239928
Read more about binomial probability distribution at; https://brainly.com/question/24239758
The value -2 is a lower bound for the zeros of the function shown below.
f(x) = 4x^3 – 12x^2 - x + 15
True or false
Answer:
Its True
Step-by-step explanation:
Just put in False and got it wrong.
What does 4 1/2 ÷ 1 1/4 =
Please help ASAP this is timed
Answer:
the answer is 30 with 75 kids voting for drinks in total
Answer:
30 students
Step-by-step explanation:
45 divided 3 (the numerator of 3/5) is 15 so 1/5 is 15. 5 minus 3 =2. so 2/5 students picked sprite. and 15 times 2 equals 30. easy
A basketball player made 55 baskets in a season. Of these, 20% were three-point shots. How many three-point shots did the player make?
Given:
A basketball player made 55 baskets in a season.
20% of these baskets were three-point shots.
To find:
The number of three-point shots.
Solution:
We have,
Total number of baskets = 55
Number of three-point shots = 20% of total baskets
Now,
[tex]\text{Number of three-point shots}=\dfrac{20}{100}\times 55[/tex]
[tex]\text{Number of three-point shots}=\dfrac{1}{5}\times 55[/tex]
[tex]\text{Number of three-point shots}=11[/tex]
Therefore, the number of three-point shots did made by the player is 11.
is -3.7 less than,greater than or equal to -3.8 ?
-3.7 is greater than -3.8, but is it not less than of equal to -3.8
The front porch has a width of 2x feet, length of 8
feet, and its area is 112412. What is the width?
Evaluate the expresions -8-14÷2+5
Answer:
-10
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
pls help:( i’ll mark brainlest!
Answer:
[tex]\sqrt{26}[/tex]
Step-by-step explanation:
The components of a vector are Ax = –10 units and Ay = 8 units. What angle does this vector make with the positive x axis? g
Answer:
This vector make an angle of 141° with the positive x axis
Step-by-step explanation:
Refer the attached figure
Components of vector :
[tex]A_x=-10 \\A_y = 8[/tex]
We are supposed to find What angle does this vector make with the positive x axis
[tex]tan \theta =\frac{A_y}{A_x}\\tan \theta =\frac{8}{-10}\\\theta =tan^{-1}(\frac{8}{-10})\\\theta =tan^{-1}(\frac{8}{-10})=-38.65^{\circ}[/tex]
Now ,
[tex]\alpha = 180-38.65=141.35^{\circ}[/tex]
So, this vector make an angle of 141° with the positive x axis
Un bombardeo pica, formando ángulo de 53o con la vertical, y abandona una bomba a una altura de 2400 pies. Se observa que el proyectil llega al suelo 5 segundos después de
Find 4 consecutive odd numbers whose sum is 112
Answer:
25, 27, 29, 31.
Step-by-step explanation:
25+27+29+31= 112
If c = 2m + d , which equation represents m ?
A.m=c- d/2
B.m=d-2c
C.m=c/2-d
D.m= c-d/2
Answer:
c
Step-by-step explanation:
c/2-d
Steps to subtracting a negative fraction from a positive decimal
Answer:
1.Subtract the absolute value of the decimal.
2. Add the negative number to the positive number.
3. Add the opposite of the negative number to the positive number.
Step-by-step explanation:
When dealing with the subtraction of negative fractions from positive decimals, the steps to follow are subtracting the absolute values of the decimals. Adding all negative numbers to the positive numbers and lastly adding the opposite positive numbers to the negative numbers.
There are three times elephants compared to giraffes in the safari. If there is a total
of 88 elephants and giraffes, how many elephants are there in the safari?
Answer:
66 elephants
Step-by-step explanation:
88 divided by 4= 22
Therefore, there are 22 giraffes.
88-22=66. Therefore, there are 66 elephants. Hope this helps, feel free to ask for a more in depth explanation!
HELPPPPPPPPP ASAPPPPPP PLSSSS EASY
Answer:
im deaf and i can't see
Step-by-step explanation:im - deaf - and - i - cant - see
(HELP ASAP TIMED TEST)
Which of the following functions has the same end behavior as the graph shown below?
A. f(x) = 5x^3 + x^2 - 15
B. f(x) = 3x^4 + 12x^3 + 8x^2 + 60
C. f(x) = -8x^2 + x - 18
D. f(x) = x^2 + 10x + 25
Answer:
I think it's "B. f(x) = 3x^4 + 12x^3 + 8x^2 + 60", if I did it correctly.
Gina works in a clothing store. At noon, she has $125 in the cash register. James gives her $60 for a sweater, and she gives him $7 change. Hana then gives her $40 for a blouse and receives $3 change. Use a series of addition equations to find out how much money Gina has in her cash register at the end of these sales.
Answer:
$90
Step-by-step explanation:
$125 + $60 - $7 + $40 - $3
HURRY AND AWNSER SISSYS
Answer:
Neither
Step-by-step explanation:
Nine less than five times a number is equal to -30.
Answer: 5x-30-9
-159
Step-by-step explanation:
-159 is the answer
Find the value of x. The diagram is not to scale.
Answer:
x=30
Step-by-step explanation:
since it is a equilateral triangle, every angle is 60.
so 180-60=120, thus giving how much 5x-30 is.
5x-30=120
150=5x
30=x
hope i helped!!!
A farmer sells peaches and kiwis at a farmers market. The peaches sell for $3.50 per pound and the kiwis sell for $2.75 per pound. The farmer's truck can carry 1,800 pounds of fruit.
If the farmer sells all 1,800 pounds of fruit that he brings to the market, what is the maximum and what is the minimum amount of money he can earn? Provide support for your answer.
Answer:
2000000000000000000000000000000000000000000000000000000
Step-by-step explanation:
A government may create and regulate natural monopolies because:
Answer:
they can handle the costs of providing essential services
Step-by-step explanation:
A government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to own citizens.
Given that,
A government may create and regulate natural monopolies because:,
The incomplete statement is to be complete.
An authority or claim controlled by the all-around people as the result of a constitution, law, ordinance, judicial precedent, or another type of law.
Here,
A government in any country has one motto rule of the country is to the people, for the people, and of the people. Whatever government does suppose to be for the welfare and proper livelihood in the country for its citizens. So in this manner,
Thus, a government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to its own citizens.
Learn more about rights here,
https://brainly.com/question/8903161
#SPJ5
(1, 7); slope = -1 please help fast
Answer:
y = - x + 8
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = -x + b Input Slope
Step 3:
7 = - 1 ( 1 ) + b Input x and y
Step 4:
7 = - 1 + b Multiply
Step 5:
b = 8 Add 1 on both sides
Answer:
y = - x + 8
Hope This Helps :)
If C=X + 6 and D=3X -6 + 4x to the second power of 4x if an expression that equals C + 3D in standard form.
Answer:
3=3y4/i94 =78
Step-by-step explanation:
The local nursery is waiting for its spring annuals to be delivered, and 20% of the plants ordered are petunias. If the first truck contains 120 plants packed at random, what is the probability that no more than 30 plants are petunias?
Answer: 0.9147
Step-by-step explanation:
Given: 20% of the plants ordered are petunias.
Let p = 20% = 0.2
Sample size: n = 120
If they follow normal distribution, then mean = np = 120x 0.2 = 24
Standard deviation = [tex]\sqrt{n p(1-p)}=\sqrt{120\times0.2\times.8}[/tex]
[tex]=\sqrt{19.2}\\\\ =4.38[/tex]
The probability that no more than 30 plants are petunias : [tex]P(\dfrac{X-\mu}{\sigma}\leq \dfrac{30-24}{4.38})[/tex]
[tex]=P(Z<1.37)= 0.9147[/tex]
Hence, the probability that no more than 30 plants are petunias = 0.9147
HELP!!!!!!!
What is 2 8/10 + (-3.5) in decimal form
Answer: -0.7
Step-by-step explanation:
4.20. According to a report released by the National Center for Health Statistics, 51% of U.S. households has only cell phones (no land line). According to the FCC, nearly 70% of the U.S. households have high-speed Internet. Suppose of the U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected. a. What is the probability that the household has only cell phones and has high-speed Internet
Answer:
The probability that the household has only cell phones and has high-speed Internet is 0.408
Step-by-step explanation:
Let A be the event that represents U.S. households has only cell phones
Let B be the event that represents U.S. households have high-speed Internet.
We are given that 51% of U.S. households has only cell phones
P(A)=0.51
We are given that 70% of the U.S. households have high-speed Internet.
P(B)=0.7
We are given that U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.
P(B|A)=0.8
[tex]\frac{P(A\capB)}{P(A)}=0.8\\P(A\capB)=0.8 \times P(A)\\P(A\capB)=0.8 \times 0.51\\P(A\capB)=0.408[/tex]
Hence the probability that the household has only cell phones and has high-speed Internet is 0.408
result when the number 90 is decreased by 7.1%? Round your answer to the nearest tenth.
Answer:
83
Step-by-step explanation:
you need to think about the equation and think of the number closest to each number and decide which fits
Answer:
83.6
Step-by-step explanation:
You need to subtract 7.1 from 100, because it's a percentage, to get the resulting percent. Then multiply 90 with the answer you got in percent.
