Answer:
65.426
Step-by-step explanation:
Given that:
Mean height (m) = 68 inches
Standard deviation (s) = 2 inches
Height required to be taller than 90% of the class :
P(Z > x) = 0.9
The corresponding Zscore is - 1.282 (Z probability calculator)
Using the Zscore relation :
Zscore = (x - m) / s
-1.282 = (x - 68) / 2
-1.282 * 2 = x - 68
-2.564 = x - 68
-2.564 + 68 = x
x = 65.436
The cashier counts 80 bills, all with the same value. She gets a total of $800. What is the value of each bill?
help, help
Answer:
10 dollars
Step-by-step explanation:
Answer:
10!
Step-by-step explanation:
So the cashier counts 80 bills and if each bill was 10 dollars, then that would equal the total. ($800) Because 80 x 10 equals 800.
Hope this helps!. :)
If r= 1 and 0 = 7, what is the approximate arc length?
20
A. 3.665 units
B. 3.927 units
C. 1.167 units
D. 4.189 units
SUBMIT
The approximate arc length is,
⇒ s = 3.665 units
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Since, We know that;
The arc length (s) is given by,
⇒ s = r·θ
Here, We have;
r = 1
θ = 7π / 6
Hence, We get;
s = 1 × 7π/6
s = 3.665 units
Thus, The approximate arc length is,
⇒ s = 3.665 units
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PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!
Find the value of x by filling in the blanks in the provided statement - reason solution.
I NEED THE WHOLE STATEMENT REASON CHART FILLED OUT!! THANK YOU SO MUCH IF YOU HELP!
Answer/Step-by-step explanation:
1. m<UTV = m<RTS = 85°
Reason: Definition of vertical angles.
Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.
2. m<R + m<S + m<RTS = 180°
Reason: sum of interior angles of a ∆.
3. 3x + 2x + 85° = 180°
Reason: Substitution
4. x = 19
Reason: Algebra
Solving the equation algebraically, we would have the following:
3x + 2x + 85° = 180°
Add like terms
5x + 85 = 180
5x = 180 - 85 (subtraction property of equality)
5x = 95
Divide both sides by 5
x = 19
help needed, fast! thank you :)
Answer:
x ≥ 16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
x - 4 ≥ 12
Step 2: Solve for x
Add 4 to both sides: x ≥ 16Here we see that any value x greater than or equal to 16 would work as a solution to the inequality.
Answer: x ≥ 16
Step-by-step explanation:
x−4≥12
Step 1: Add 4 to both sides.
x−4+4≥12+4
x≥16
Answer:
x≥16
If x, the time (in minutes) to complete an oil change job at certain auto service station, is uniformly distributed over the interval 20 to 30, then what is the probability that an oil change job is completed in less than or equal to 22 minutes?
Answer:
The value is [tex]P(X \le 22) = 0.2[/tex]
Step-by-step explanation:
From the question we are told that
The lower limit of the interval is [tex]a = 20[/tex]
The upper limit of the interval is [tex]b = 30[/tex]
Generally the cumulative distribution function for uniform distribution is mathematically represented as
[tex]F(x) = \left \{ {{0 \ \ \ \ \ \ \ \ \ \ \ for x < a } \atop {\frac{x - a}{b-a} \ \ \ \ \ \ for a \le x \le b }} \atop { 1 \ \ \ \ \ \ \ \ \ \ \ for x > b}\right.[/tex]
Generally the probability that an oil change job is completed in less than or equal to 22 minutes is mathematically represented as
[tex]P(X \le 22) = \frac{22 - 20}{30 - 20 }[/tex]
=> [tex]P(X \le 22) = 0.2[/tex]
What is the L.C.M OF 8,
5 AND 9
Answer:
What is the L.C.M OF 8,
5 AND 9
Step-by-step explanation:
Find the sum of the interior
angles of a regular nonagon
(9-sided figure).
Answer:
1260°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Sum of Angles: 180(n - 2)Step-by-step explanation:
Step 1: Define
Number of sides n = 9
Step 2: Find
Substitute: 180(9 - 2)Subtract: 180(7)Multiply: 1260°The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It costs the school $300 to pay the referees for the game. The school wants to make profit on the game, and 75 people attended. This is represented by the system:
5x +3y > 300
x+y = 75
which of the following points is a solution to the system?
(30,45)
(40,35)
(20,15)
(25,70)
Answer:
(40,35)
Step-by-step explanation:
Well we can immediacy eliminate 2 options for ow becuase if you add them up they don’t equal 75 and in the equation it asked for x+y=75.
Now we just test out each x and y possibility
We know 5x+3 > 300
So lets try the first one
30 is x
45 is Y
5*30=150
45*3=135
Now if you add them
285
285 is not greater than 300 so thats wrong
SO B is correct
But lets check just in case
5*40=200
3*35= 105
305 IS greater than 300
305 > 300
SO B is correct
The point (40,35)
evaluate the expression. (120÷20)÷(2*3)
Answer: 9
Step-by-step explanation:
120/20/2 (3)
6/2 (3)
(3) (3)
= 9
Glad I could help!
Need pleas ok need today
Answer:
90
Step-by-step explanation:
You need to simply add all the given numbers together and enter the missing number that'll make the total 0. So:
-75 + (-25) = -100
-100 + 10 = -90
-90 + 90 = 0
Thus, adding a 90 in the empty box will make it 0.
Answer:
90
Step-by-step explanation:
This is the answer because:
1) -75 + (-25) = -100
2) -100 + 10 = -90
3) -90 + 90 = 0
Therefore, the answer is 90 because whenever a negative number is added with the same poitive number, it beomes a 0.
Hope this helps! :D
Austin answered 47 out of 50 questions correct on a test. What percentage grade did Austin receive on his test?
absolute value of 7 and one
eigth
D
Question 16
A piece of cardboard measures 24 inches on each side. Congruent squares on all 4 corners will be cut out to fold the cardboard into a pizza box for Tony's Pizza.
Answer:
you search on doutnut ok dear
The function g is defined by the following rule. g(x) = 5x +1
The table for the function is,
x -3 -2 1 4 5
g(x) -14 -9 6 2 26
What is a function?A mathematical phrase, rule, or law establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given a function g(x) = 5x + 1
to find the values of g(x) for given values of x
when x = -3
g(x) = 5x + 1
g(-3) = 5(-3) + 1
g(-3) = -14
when x = -2
g(-2) = 5(-2) + 1
g(-2) = -9
when x = 1
g(1) = 5(1) + 1
g(1) = 6
when x = 4
g(4) = 5(4) + 1
g(4) = 21
when x = 5
g(5) = 5(5) + 1
g(5) = 26
Hence the values for g(x) are -14, -9, 6, 21, and 26 respectively.
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Given f-1(x)=-34x+2, which equation represents f(x)?
After a baby was born, she began to gain weight at a rate of 2 pounds per month. The weight of the baby at birth was 8 pounds. Write an equation
Answer:
W x T = 8 or 2w x t = 8
Step-by-step explanation:
Answer:
After a baby was born, she began to gain weight at a rate of 2 pounds per month. The weight of the baby at birth was 8 pounds. how much did the baby way a 12 months
Step-by-step explanation:
8 x 2 =16 16 x 12= 192 so the baby will be 19 pounds and 2 ounces at 12months
If there is an increase in the money supply that causes money to lose its
purchasing power and leads to inflation, what happens to prices?
A. They cease to exist.
B. They fall.
C. They rise
D. They stay the same
Answer: C
They Rise
Step-by-step explanation:
Cuz i did the quiz lol
I need G PLZZZZZZZZZZZZZZZ
At Hearth and Home the price for 2 candles is $8.00. At Homeland the price for 3 candles is $15.00. How many dollars will you save if you buy 6 candles from Hearth and Home instead of Homeland?
Answer:
answer is 6
Step-by-step explanation:
hard to explain but you have to find the price of 1 candle
The measures of the angles of a triangle are shown in the figure below. Solve for x.
480
33°
*
Complete the congruence statement by naming the corresponding angle or side.
50 points
Answer:
Step-by-step explanation:
B is correct..............
Step-by-step explanation:
Triangles HIJ and HCE are congruent
The letter I is the 2nd letter in HIJ. Similarly, the letter C is the 2nd letter in HCE.
Hence Angle I = Angle C (B).
Which system of equations has no solution?Immersive Reader
(2 Points)
y = -3/4x + 5 and y = -3/4x + 5
y = 3x + 9 and y = 3x + 13
y = -2x – 5 and y = -2x + -5
y = 3x – 5 and y = 2x + 4
Answer:
y = 3x + 9 and y = 3x + 13
Step-by-step explanation:
y = 3x + 9 and y = 3x + 13
The above system of linear equations have no solutions.
Answer:
y = 3x + 9 and y = 3x + 13
Step-by-step explanation:
i did the quiz i got a 90% but i got this right.
1) A school has 1600 students and they are going to vote as to whether they will completely convert the school completely off fossil fuels. How many students would you have to poll to be 95% confident of the outcome within /- 2% of the vote
Answer:
Standard deviation of the students = 0.408
The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote
= 0.408 X 1600
= 652.8
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 1600
95% confidence interval of the margin error is determined by
[tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }[/tex]
Level of significance = 0.05
Z₀.₀₅ = 1.96
Given Margin of error = 2% = 0.02
[tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }[/tex]
[tex]0.02 = \frac{1.96 X S.D}{\sqrt{1600} }[/tex]
0.02 X √1600 = 1.96 X S.D
[tex]S.D = \frac{0.02X\sqrt{1600} }{1.96} = 0.408[/tex]
Standard deviation of the students = 0.408
The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote
= 0.408 X 1600
= 652.8
Using the z-distribution, it is found that you would have to poll 2401 students.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
There is no prior estimate, hence [tex]\pi = 0.5[/tex] is used.
The sample size is n for which M = 0.02, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96(0.5)[/tex]
[tex]\sqrt{n} = \left(\frac{1.96(0.5)}{0.02}\right)[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.02}\right)^2[/tex]
[tex]n = 2401[/tex]
You would have to poll 2401 students.
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Considering only the factors of the form x - k, what is the relationship between the k values and the zeros?
Given:
Considering only the factors of the form x - k.
To find:
The relationship between the k values and the zeros?
Solution:
We know that, if (x-c) is a factor of a function f(x), then x=c is a zero of function f(x), i.e., f(c)=0, where, c is a constant.
It is given that, only the factors of the form x - k. Then by using the above theorem we can say that, k values are the zeros of the function.
The relationship between the k values and the zeros is defined as
k values = Zeros of the function
Therefore, the k values are to zeros of the function.
The king who retains power by tradition of allegiance ensures that a religious doctrine is enforced as government policy. Which of the following accurately describes the type of government? (4 points)
a
This country has both a monarchy and a theocracy.
b
This country has both a dictatorship and a monarchy.
c
This country has both a democracy and a theocracy.
d
This country has both a democracy and a monarchy.
Answer:
The answer is C.This country has both a democracy and a theocracy
3. For each literal, make a Venn diagram with three nonempty sets A; B and C, which satisfy simulta-
neously the given conditions:
a)A ⊂ B, C ⊂ B, A ∩ C = ∅ b)A ⊂ C, A 6= B, B ∩ C = ∅
c)A ⊂ B, C * B, A ∩ C 6= ∅ d)A ⊂ (B ∩ C), B ⊂ C, C 6= B, A 6= C.
Answer:
c is the right answer
Answer:
A
Step-by-step explanation:
I say a because it's supposed to bring the Venn diagram alone
A+b=30, a-b=20, a/b=?
Answer:
5
Step-by-step explanation:
a+b=30
a=30-b------1
&a-b=20
a=20+b-----2
From eqn 1 and 2, we get
30-b=20+b
or, 10=2b
b=5
Now, a=20+5
a=25
Therefore, a/b=25/5
=5
Using a system of equation, the value of a/b obtained from the values of a and b calculated is 5
The system of equations:
a + b = 30 - - - (1)a - b = 20 - - - (2)From (1) :
a = 30 - b - - - (3)
Substituting a = 30 - b into (2)
30 - b - b = 20
30 - 2b = 20
30 - 20 = 2b
10 = 2b
b = 5
From (3) :
a = 30 - 5
a = 25
Hence,
a/b = 25 / 5 = 5
Hence, the value of a/b is 5
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What’s the formula for the sequence 9, 14, 19, 24, ...?
Answer:
add 5
Step-by-step explanation:
Answer:
+5
Step-by-step explanation:
It keeps adding five so,
14, 19, 24, 29, 34,39,44...
PLZZ HELP!?!?Graph the linear equation −5x+y=−10. Then identify the x-intercept.
WILL BRAINLIEST IF RIGHT!?!?!?
Answer:
there is no x-intercept because the equation is
[tex]y = - 5[/tex]
there is only a y-intercept
I inserted an image of the graph. It's a straight line across -5.
The net of a pyramid is shown below: The net of a square based pyramid, with bases labeled 7 inches and the height of the triangle labeled 14 inches. The surface area of the solid is square inches. (3 points)
Answer:
245 in²Step-by-step explanation:
The surface area is the sum of the areas of square base and triangle sides
S = 7² + 4*(1/2*7*14) = 49 + 196 = 245 in²Answer:
7 x 14 x 4 = 392
Step-by-step explanation: