Answer:
√2
Step-by-step explanation:
The ratio of the hypotenuse to the leg in any isosceles right triangle is √2.
_____
Perhaps you want to figure the hypotenuse, then compute the ratio.
c = √(a²+b²) = √(3² +3²) = √18 = 3√2
Then the ratio to a leg is ...
c/a = (3√2)/3 = √2
Answer:
1.4
Step-by-step explanation:
i just did it.
If u could help that would be great
Answer:
B
Step-by-step explanation:
A recent report states that 89% of Americans consider themselves above average drivers. A local newspaper is planning on conducting a survey to investigate whether this is true locally. If the newspaper assumes that the 89% claim is true and plans to use the normal approximation to calculate probabilities associated with their sample proportion, which sample size would be most appropriate?
A) 10
B) 11
C) 30
D) 91
E) The number depends on the size of the population.
Answer:
D) 91
Step-by-step explanation:
For the normal approximation, we need that:
np > 5 and np(1-p) > 5
In this question:
[tex]p = 0.89[/tex]
So
A) 10
n = 10, then
10*0.89 = 8.9 > 5
10*0.89*0.11 = 0.979 < 5
Does not satisfy.
B) 11
n = 11, then
11*0.89 = 9.79
11*0.89*0.11 = 1.0769 < 5
Does not satisfy
C) 30
n = 30
30*0.89 = 26.7
30*0.89*0.11 = 2.937 < 5
D) 91
n = 91
90*0.89 = 80.1
90*0.89*0.11 = 8.881 > 5
So this satisfies, and 91 is the answer
Answer:
D) 91
Step-by-step explanation:
A higher sample size results in lower variability, therefore higher precision.
calculate the mean of 0,4,7,7,8,8,8,9,9,10
Answer:
7
Step-by-step explanation:
The mean is the sum of all numbers divided by the total numbers been investigated
0+4+7+7+8+8+8+9+9+10 / 10 = 70/10 = 7
Answer:
The mean is 7
Step-by-step explanation:
mean=sum of the numbers/numbers mentioned
[tex]mean=\frac{0+4+7+7+8+8+8+9+9+10}{10}[/tex]
[tex]mean=\frac{70}{10}[/tex]
[tex]mean=7[/tex]
Which choice correctly expresses the number below in scientific notation?
0.000607
Answer:
Correct answer is: E
Step-by-step explanation:
3/8 of a gallon of paint covers 1/4 of a wall how many gallons cover the wall
Answer:
1 1/2 or 1 4/8 gallons
Step-by-step explanation:
If 3/8 gallons of paint covers 1/4 of a wall, then the math is explained below:
3/8 times 4/1 equals 12/8 to 1 4/8 to 1 1/2. We multiply by 4 since 3/8 covers 1/4 of the wall.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Which statement is true?
A. -8xy and x+y are like terms.
B. -8xy and 9x are like terms.
C. -8xy and 9y are like terms.
D. -8xy and 9xy are like terms
If x = 4, calculate the value of: 2x³ - 2x² + 2x - x
Step-by-step explanation:
Putting value of x
2 (4)3 - 2(4)2 + 2(4) - 4
2 (64) - 2(16) + 8 - 4
128 - 32 + 8 - 4
= 100
Answer:
i dunno try this sorry if its wrong. Answer i got is 16.
Step-by-step explanation:
since the x = 4 and we need to calculate the value of other numbers. my answer would be this,
2 x 2 x 2 = 6, 2 x 2 = 4 add both values up to get 10, then do 10 x 2 which is 20, - 4 since x is 4.
Also i did this the way you would write it in exponent form.
The graph shows a distribution of data,
What is the standard deviation of the data?
O 0.5
© 1.5
O 2.0
2.5
1.5
2
2.5
3
Answer:
The graph shows a distribution of data.
A graph shows the horizontal axis numbered 1 to x. The vertical axis is unnumbered. The graph shows an upward trend from 1 to 2 then a downward trend from 2 to 3.
What is the standard deviation of the data?
0.5 <<<------- CORRECT ANSWER
1.5
2.0
2.5
Step-by-step explanation:
EDGE 2021
The standard deviation of the data is,
σ = 0.5
What is an expression?An expression which is defined as the collection of the numbers, variables and functions by using sign like addition, subtraction, multiplication, and division is called mathematical expression.
Now,
We have in the graph, there is bell-shaped along x =2.
Here, A bell-shaped graph along one value is called symmetric graph and it represents a normal distribution.
Since, The graph is symmetric around x = 2,
Hence, the mean of the data is 2.
And, The point immediate left to the mean represented by x - σ
Hence, We get;
2 - σ = 1.5
So,
σ = 0.5
Thus, The sigma represents standard deviation.
σ = 0.5
Hence, Option A is correct.
Learn more about the mathematical expression visit:
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Rearrange the equation so u is the independent variable.
-12u + 13 = 8w - 3
w = __
Answer:
the answer is -12u/3 + 2
Answer:
W=-3/2u+2
Step-by-step explanation:
Step 1: Flip the equation.
8w-3=-12u+13
Step 2: Add 3 to both sides.
8w-3+3=-12u+13+3
8w=-12u+16
Step 3: Divide both sides by 8.
8w/8=-12u+16/8
W=-3/2u+2
Hope I helped
A design on a balloon is 8 centimeters wide when the balloon holds 25 cubic centimeters of air . How much air must the balloon hold for the design to be 16 centimeters wide.
Answer:
50 centimetres
Step-by-step explanation:
Trent needs a total of $320 to buy a new bicycle. He has $35 saved. He earns $15 each week delivering newspapers. How many weeks will Trent have to deliver papers to have enough money to buy the bicycle?
Answer:
Trend wants to buy a new bicycle which costs 320$.
He has 35$ saved and earns 15$ each week.
After a number of weeks (a), the amount money he has: A = 35 + 15 x a
If Trend has enough money to buy that bicycle, we have the equation:
35 + 15 x a = 320
=> 15 x a = 320 - 35
=> 15 x a = 285
[tex]a = \frac{285}{15} = 19[/tex]
=> After 19 weeks, Trent will have had enough money to buy that bicycle
Hope this helps!
:)
Which statement is a counterexample to the following conjecture?
All mammals are dogs.
A. A labrador retriever is a mammal.
B. All mammals have hair.
C. A spider is not a mammal.
D. A cat is a mammal.
Answer:
D. A cat is a mammal.
Step-by-step explanation:
Reason being is because a cat isn't a dog, yet it's still a mammal.
Answer:
c a spider is not a mammal
Step-by-step explanation:
i mean not all dogs r mammals i mean common sense
Insert a digit to make numbers that are divisible by 24 96__4
QUESTION 1 The Senator of Azenator State, is worried about the rising numbers in high blood pressure related deaths in his Jurisdiction and wants an end to this canker. A reputable medical research officer has claimed that, the situation is probably as a result of the ageing population of his State. The blood pressures, Y (mmHg), and Ages, X (years) of 10 hospital patients were sampled from Azenator State and summarized below. Patient A B C D E F G H I J Age (X) in Years 20 25 50 30 45 60 10 15 35 70 BP(Y) in (mmHg) 80 85 125 90 100 135 80 70 100 140 NB: Approximate to 2 decimal places Use the table to answer the questions that follow; i) Calculate the product moment correlation coefficient for the data and interpret your result. (3 Marks) ii) If the Senator decides to purchase and distribute Norvasc (a medicine that reduces blood pressure), based on your results in (i), which age group (youth or old adults) should be given priority? Briefly explain your answer.
Answera and Step-by-step explanation: Correlation Coefficient is the measure of how strong two variables are. There are numerous types of correlation coefficients and the product moment correlation coefficient, also known as Pearson's correlation or Pearson's R is most commonly used in linear regression. The formula to calculate it is:
r = n(∑xy) - (∑x)(∑y) / √[∑x² - (∑x)²].[n∑y² - (∑y)²]
To find the value of R:
1) Separate the values of X and Y and out them in 2 columns.
2) Add 3 more columns: for xy, x² and y²;
3) Find the values of each column;
4) Add each column;
5) Put the sum of each column in its place on the formula above;
6) Find the correlation.
i) For this question, r = 0.9645. As it's positive, means that the two variables are directly linked, i.e., an increase in one variable will produce an increase in the other variable in the same proportion.
ii) The Senator should distribute Norvasc to the old adults groups, because, as the population grows, the death associated with high blood pressure will also grow, as explained by the correlation coefficient.
Airplanes approaching the runway for landing are required to stay within the localizer (a certain distance left and right of the runway). When an airplane deviates from the localizer, it is sometimes referred to as an exceedence. Consider one airline at a small airport with six daily arrivals and an exceedence rate of 7%. a) Find the probability that on one day no planes have an exceedence. (2 points) b) Find the probability that at least 1 plane exceeds the localizer. (3 points) c) What is the expected number of planes to exceed the localizer on any given day? (2 points) d) What is the variance for the number of planes to exceed the localizer on any given day? (3 points)
Answer:
a) P(x = 0) = 64.69%
b) P(x ≥ 1) = 35.31%
c) E(x) = 0.42
d) var(x) = 0.3906
Step-by-step explanation:
The given problem can be solved using binomial distribution since:
There are n repeated trials independent of each other. There are only two possibilities: exceedence happens or exceedence doesn't happen.The probability of success does not change with trial to trial.The binomial distribution is given by
P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ
Where n is the number of trials, x is the variable of interest and p is the probability of success.
For the given scenario. the six daily arrivals are the number of trials
Number of trials = n = 6
The probability of success = 7% = 0.07
a) Find the probability that on one day no planes have an exceedence.
Here we have x = 0, n = 6 and p = 0.07
P(x = 0) = ⁶C₀(0.07⁰)(1 - 0.07)⁶⁻⁰
P(x = 0) = (1)(0.07⁰)(0.93)⁶
P(x = 0) = 0.6469
P(x = 0) = 64.69%
b) Find the probability that at least 1 plane exceeds the localizer.
The probability that at least 1 plane exceeds the localizer is given by
P(x ≥ 1) = 1 - P(x < 1)
But we know that P(x < 1) = P(x = 0) so,
P(x ≥ 1) = 1 - P(x = 0)
We have already calculated P(x = 0) in part (a)
P(x ≥ 1) = 1 - 0.6469
P(x ≥ 1) = 0.3531
P(x ≥ 1) = 35.31%
c) What is the expected number of planes to exceed the localizer on any given day?
The expected number of planes to exceed the localizer is given by
E(x) = n×p
Where n is the number of trials and p is the probability of success
E(x) = 6×0.07
E(x) = 0.42
Therefore, the expected number of planes to exceed the localizer on any given day is 0.42
d) What is the variance for the number of planes to exceed the localizer on any given day?
The variance for the number of planes to exceed the localizer is given by
var(x) = n×p×q
Where n is the number of trials and p is the probability of success and q is the probability of failure.
var(x) = 6×0.07×(1 - 0.07)
var(x) = 6×0.07×(0.93)
var(x) = 0.3906
Therefore, the variance for the number of planes to exceed the localizer on any given day is 0.3906.
PLS HELP!!!!!!!!!!!!!!
Answer: B
Step-by-step explanation:
The actual distances is 1.7 - ( -0.5)= 2.2
A 1.7- 0.5= 1.2 and the absolute value of 1.2 is 1.2
B 1.7- (-0.5) = 2.2
You roll a die. if it comes up a 6, you win $100. if not, you get to roll again. if you get a 6 the second time, you win $50. if not, you lose.
a.create a probability model for the amount you win.
b.find the expected amount you'll win.
c.what would you be willing to pay to play this game?
Answer:
a.
x $ 0 $ 50 $ 100
p (x) 25/36 5/36 6/36
b. 23.61%
c. 23.61%
Step-by-step explanation:
We have that "x" is the amount of money earned:
we have to fail twice, the probability of failure is 5/6 and the probability of hitting is 1/6, therefore if you lose the probability would be:
5/6 * 5/6 = 25/36
the one to win 50 $, would be:
1/6 * 5/6 = 5/36
and the one to win $ 100 would be:
1/6 * = 6/36
that is to say:
a.
x $ 0 $ 50 $ 100
p (x) 25/36 5/36 6/36
b. the expected amount you'll win would be:
0 * 25/36 + 50 * 5/36 + 100 * 6/36 = 23.61
c. The normal thing is to pay at least the expected amount, that is, $ 23.61, since something greater than that would already be profit.
The expected value is the sum of the product of values and their respective probabilities. Hence ;
Expected winning = $9.722 Willing amount to be paid should be any amount less than $9.722To win $100 :
P(6) × P(6) = 1/6 × 1/6 = 1/36To win $50 :
P(not 6) × P(6) = 5/6 × 1/6 = 5/36To win nothing :
P(not 6) × P(not 6) = 5/6 × 5/6 = 25/36The probability distribution table :
X : _______ $0 ______ $50 _______ $100P(X) : ____ 25/36 _____ 5/36 _______ 1/36The expected value :
E(X) = Σ[(X × P(X)]E(X) = (0 × 25/36) + (50 × 5/36) + (100 × 1/36)
E(X) = 0 + 9.7222
E(X) = 9.722
Therefore, the expected amount to be won is $9.722
Willing amount to be paid to play the game :
Any value below the expected value,
Therefore, the willing amount will be < 9.722
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What’s the correct answer for this?
Answer:
The second one I believe!
Answer:
A
Step-by-step explanation:
Rule => (a+b)²=a² + 2ab + b²Rule => (a-b)² = a² -2ab + b²x² - 6x - 33 = 0
x² => a²
-6x => -2ab
Therefore, b=3
9 - ..... = -33
...... = 42
x² - 6x + 9 - 42 = 0
(x -3)² - 42 = 0
(x-3)² = 42
First option is answer
Hope this helps ^-^
0.5x + 6 > 3
I don’t know how to solve
Answer:
x > -6
Step-by-step explanation:
Move 6 to the other side:
0.5x > -3
x > -6
QUESTION 7 Stock K is expected to return 12.4 percent while the return on Stock L is expected to be 8.6 percent. You have $10,000 to invest in these two stocks. How much should you invest in Stock L if you desire a combined return from the two stocks of 11 percent? $4,209 $3,415 $2,907 $3,684 $3,511
Answer:$3684 should be invested in stock L
Step-by-step explanation:
Let x represent the amount that you should invest in stock K.
Let y represent the amount that you should invest in stock L.
You have $10,000 to invest in these two stocks. It means that
x + y = 10000
Stock K is expected to return 12.4 percent while the return on Stock L is expected to be 8.6 percent. It means that the returns from stock K would be 12.4/100 × x = 0.124x
And the returns from stock L would be 8.6/100 × y = 0.086y
if you desire a combined return from the two stocks of 11 percent, it means that the combined returns would be
11/100 × (x + y) = 0.11(x + y)
The equation would be
0.124x + 0.086y = 0.11(x + y)- - - - - - - -1
Substituting x = 10000 - y into equation 1, it becomes
0.124(10000 - y) + 0.086y = 0.11(10000 - y + y)
1240 - 0.124y + 0.086y = 1100
- 0.124y + 0.086y = 1100 - 1240
- 0.038y = - 140
y = - 140/- 0.038
y = 3684
The length of a rectangle is twice as long as the width. If the diagonal length of the rectangle
is 60 cm, what is the perimeter of the rectangle (to the nearest centimetre)?
Provide a complete algebraic solution, including a supporting diagram.
I
Answer:
[tex] 60^2 = (2x^2) +x^2[/tex]
[tex] 3600 = 5x^2[/tex]
[tex] x = \sqrt{\frac{3600}{5}}= 12\sqrt{5}[/tex]
And we can find the perimeter as:
[tex] P= 2(2x) + 2x[/tex]
And replacing the value given for x we got:
[tex] P =2 (2* 12\sqrt{5}) + 2* (12\sqrt{5}) = 48 \sqrt{5} +24\sqrt{5} = 72 \sqrt{5} cm[/tex]
And for this case the perimeter would be approximately [tex]72 \sqrt{5} cm[/tex]
Step-by-step explanation:
For this case we can assume that the lenght is 2x the width x and the diagonal is 60 cm.
From the picture given we have a right tirngle and we can set the following equation:
[tex] 60^2 = (2x^2) +x^2[/tex]
[tex] 3600 = 5x^2[/tex]
And solving for x we got:
[tex] x = \sqrt{\frac{3600}{5}}= 12\sqrt{5}[/tex]
And we can find the perimeter as:
[tex] P= 2(2x) + 2x[/tex]
And replacing the value given for x we got:
[tex] P =2 (2* 12\sqrt{5}) + 2* (12\sqrt{5}) = 48 \sqrt{5} +24\sqrt{5} = 72 \sqrt{5} cm[/tex]
And for this case the perimeter would be approximately [tex]72 \sqrt{5} cm[/tex]
mary had 1 3/4 pound of blackberries. Mary's friend ate 3/4 of the blackberries. How many pounds of blackberries did Mary friend eat?
Hey there! I'm happy to help!
If Mary's friend at 3/4 of blackberries, we will simply multiply the total number of blackberries by 3/4 to find how many blackberries Mary ate.
3/4×1 3/4= 1 5/16
Therefore, Mary's friend at 1 5/16 pounds of blackberries.
I hope that this helps! Have a wonderful day!
Which is greater 0.6 or 0.285
Answer:0.06
Step-by-step explanation: just pretty obvious
Answer:
I believe 0.6 is greater
Step-by-step explanation:
You roll a number cube once.
What is the theoretical probability that you roll a 5 or 2? Enter your answer as a simplified fraction.
The probability that you roll a 5 or 2 is____
Answer:
The probability that you roll a 5 or 2 is [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
There are 6 total outcomes(all numbers from 1 to 6).
The desired are 2, that is, rolling 2 or rolling 5.
p = 2/6 = 1/3
The probability that you roll a 5 or 2 is [tex]\frac{1}{3}[/tex]
Answer:5/2
Step-by-step explanation:
The first quartile of the given data is 35. find the value of x.
X 0-20/20-40/40-60/60-80/80-100
F 2 x 8 5 1
The given value of the first quartile is related to the value cumulative
frequency up to the class of the first quartile.
The value of x is 1Reasons:
The first quartile is one of the five number summary.
The number of terms, N = 2 + x + 8 + 5 + 1 =16 + x
[tex]\displaystyle Q_1 = \frac{N+1}{4} \ th \ value = \mathbf{\frac{17 + x}{4} \ th \ value}[/tex]
We have;
[tex]\displaystyle Q_1 = \mathbf{ L + \frac{ \left (\frac{N + 1}{4} - pcf \right) }{f} \times C}[/tex]
Where;
The first quartile, Q₁ = 35
L = 20 in the first quartile class
PCF = The cumulative frequency of the first quartile class = 2 + x
f = The frequency of the quartile class = x
C = The class size = 10
Therefore;
[tex]\displaystyle Q_1 = 35 = \mathbf{ 20 + \frac{ \left (\frac{17 + x}{4} - (2 + x) \right) }{x} \times 10}[/tex]
Which gives;
[tex]\displaystyle 35 = \mathbf{\frac{25 \cdot x + 45}{2 \cdot x}}[/tex]
Therefore;
70·x = 25·x + 45
45·x = 45
x = 45 ÷ 45 = 1
x = 1Learn more about the five number summary here:
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If anyone can help me with this it will be greatly appreciated.
Answer:
it is a triangular prism .
Answer:
Triangular Prism
6 vertices
Step-by-step explanation:
(c) Simplify fully
exexexf
————
exex fxf
Answer:
i know its a bit late but the answer below
Step-by-step explanation:
e/f
The number of 3-digit telephone area codes that can be made if repetitions are not allowed is?
a. 100
b. 720
c. 1,000
d. 504
Answer:
Each of the 3 digits can be from 0 to 9, so each of the digits can have 10 values.
10 * 10 * 10 = 1,000
However, if repetition is NOT allowed, then the first digit can be ANY digit (10 possibilities). The second digit can be ANY digit except what the first digit is (9 possibilities). The third digit can be ANY digit except what the first digit is or what the second digit is (8 possibilities).
Total area codes = 10 * 9 * 8 = 720
Answer is b
Step-by-step explanation:
What is the slope of the line through (-7,-8)(−7,−8)left parenthesis, minus, 7, comma, minus, 8, right parenthesis and (0,4)(0,4)left parenthesis, 0, comma, 4, right parenthesis?
Answer:
12/7
Step-by-step explanation:
When given two points, we can find the slope by using
m = (y2-y1)/(x2-x1)
= (4 - -8)/ (0 - -7)
= (4+8) / (0+7)
= 12/7
Answer:
The answer is 12/7
Step-by-step explanation:
I got this answer from Khan Academy.
Hope this helps! :)
What is 2 3/11 as a decimal?
Answer:
[tex]2\frac{3}{11} \\=2.2727272727[/tex]
Step-by-step explanation: