b. No, the requirements are not met because the sample has fewer than 10 failures, which violates the condition for approximating a normal distribution.
Step-by-step explanation:
from the question, the number of successes is equal to 30
and it is more than the number of failures
for us to conduct this test such as the z test the data we are using should be a random sample from the population that we are interested in. the population should be at least as big as the sample by 10 times. first of all We need to check if the mean of the sample is normally distributed.
if 26 are successes out of a sample of 30, then failures would be 4. therefore option b is correct.
will rate you brainliest
Answer:
third option is the first step
Answer:
C
Step-by-step explanation:
It is c bro
(x+1)(x−1)(x−5)=0 HELP
Answer:
x³ - 5x² - x + 5
Step-by-step explanation:
(x+1)(x-1)(x-5) = 0
fisrt step:
(x+1)(x-1) = x*x + x*-1 + 1*x + 1*-1 = x² - x + x - 1 = x² - 1
then:
(x+1)(x-1)(x-5) = (x²-1)(x-5)
(x²-1)(x-5) = x²*x + x²*-5 -1*x -1*-5 = x³ - 5x² - x + 5
An angle measures 36° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
Since they are supplementary, they add up to 180 degrees. Since one is 38 degrees more than the other, you can use the equation x + (x+36) = 180 to find both angles
Step-by-step explanation:
determine whether the series is absolutely convergent, conditionally convergent, or divergent sin(n)/3^n convergent
Answer:
absolutely convergent
Step-by-step explanation:
given data
sin(n)/3^n
solution
we have given term [tex]\frac{sin(n)}{3^n}[/tex]
when n = 1
and we know that
value of sin(n) ≤ 1
so that we can say that
[tex]\frac{sin(n)}{3^n}[/tex] ≤ [tex]\frac{1}{3^n}[/tex] or [tex](\frac{1}{3})^n[/tex]
here [tex]\frac{1}{3^n}[/tex] is converges this is because common ratio in geometric series
here r is [tex]\frac{1}{3}[/tex] and here it satisfy that -1 < r < 1
so it is converges
and
[tex]\frac{sin(n)}{3^n}[/tex] is also similar
so it is converges
and here no [tex](-1)^n[/tex] term is
so we can say series is absolutely convergent
please help
Determine if the relation is a function. Explain your reasoning.
y=3×
Answer:
yes for each input there is exactly one output.
Step-by-step explanation:
phone pictures is given by y equals 0.25 x where X is the number of 32 y equals 3x + 2y
please help, my course ends tonight and all im getting are spammers
Research some terms for parts of a circle and find examples of them in fields such as engineering or architecture. Describe in detail how these terms are used and how these uses relate to what you’ve learned in class.
Answer:
parts of a circle = tangent, chord, arc, segment, sector, diameter, radius, circumference.
A lot of jobs use area and perimeter such as; Surveying, flooring estimates architecture, mechanical engineering,
Typically, a land surveyor conducts and records a perimeter survey and part of this includes the transverse
Surveyors typically measure positions in series. Starting at control points, they measure angles and distances to new locations and use trigonometry to calculate positions in a plane coordinate system. Measuring a series of positions in this way is known as "running a traverse." A traverse that begins and ends at different locations is called an open traverse.
Here they create segments as seen below attached.
Engineers Drawing Circles: Begins by defining the radius, diameter and circumference and asking students to draw circles with a given radius, circumference or area. and when requiring they draw two circles with the same centre, one property of each circle being given in example with bridges, or arc of a circle working with calculating precise length for material lists.
The Annulus: the shape formed between two circles. They use the properties of the annulus by completing a table with values of pertaining to the properties of the inner circle, the outer circle and the annulus.
With sectors, engineers, can defining major and minor sector, they calculate the arc length and the area of a sector of a circle. They have learnt how to complete a table of values of properties of a circle and a sector of that circle given different properties from which to start with.
Architecture typically used series of circles in gothic architecture, but also art deco and earlier historic arches, use of semi-circular arches in architecture, and tangents are used as a .function to compute a building's height if they know their distance from the structure and the angle between their eyes and the building's top; clinometers can help them measure those angles.
Metal fabricators and product design workers use spring dividers help them inscribe an arc or create a circle pattern.
I would then write a little more about chords and radius
Which point slope form equations could be produced with the points (3,2) and (4,6)
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of a line given two points first find the slope of the line and use the formula
y - y1 = m( x - x1) to find the Equation of the line using any of the points given
Slope of the line using points
(3,2) and (4,6) is
[tex]m = \frac{6 - 2}{4 - 3} = \frac{4}{1} = 4[/tex]
So the equation of the line using point
( 3 , 2 ) and slope 4 is
y - 2 = 4( x - 3)Hope this helps you
How many times does the digit 9 appear in the list of all integers from 1 to 500? (The number $ 99 $, for example, is counted twice, because $9$ appears two times in it.)
Answer:
95 times digit 9 appears in all integers from 1 to 500.
Step-by-step explanation:
No. of 9 from
1-9: 1 time
10-19: 1 time
20-29: 1 time
30-39: 1 time
40-49: 1 time
50-59: 1 time
60-69: 1 time
70-79: 1 time
80-89 : 1 time
from 90 to 99
there will be one in 91 to 98
then two 9 in 99
thus, no of 9 from 90 to 99 is 10
Thus, total 9's from 1 to 99 is 9+10 = 19
Thus there 19 9's in 1 to 99
similarly
there will be
19 9's in 100 to 199
19 9's in 200 to 299
19 9's in 300 to 399
19 9's in 400 to 499
Thus, total 9's will be
19 + 19 + 19+ 19 + 19 + 19 = 95
Thus, 95 times digit 9 appears in all integers from 1 to 500.
Use the quadratic function to predict f(x) if x equals 2. f(x) = −3x2 + 180x − 285
Answer:
if x = 2
f(x) = -3x^2 + 180x -285
f(x) = -3*2*2 + 180*2 -285
f(x) = -12 + 360 -285
f (x) = 63
Step-by-step explanation:
Solve each equation.
1) 14=3m + 4
A=7x^2-3x+10 B=-4x^2+6x-4
A-B=
Step-by-step explanation:
A-B
=7x-6x/2 +10) - (-2x +6x-4)
=x/2+10- 4x+4
= x-8x /2 +14
=-7x/2+14
A 14 sided die is rolled find the probability of rolling an odd number the set of equally likely outcomes is shown below
Answer:
Probability= 0.5
Step-by-step explanation:
A 14 sided die is rolled
Total number of occurrence= 14 numbers
Total odd numbers present
= 1,3,5,7,9,11,13
Total number of odd numvers present
= 7
Probability= number of required outcome/total possible outcome
Probability= 7/14
Probability= 0.5
The vertical motion of a mass attached to a spring is described by the given initial-value problem. 4x " + x' + x = 0, x(0) = 8, x'(0) = 4
Determine the maximum vertical displacement of the mass. (Round your answer to three decimal places.)
Answer:
m = 4
k = 25.56
b = 20
The differential equation for damping motion is:
where,
Substitute the values in the differential equation and consider x" = r², x' =r and solve:
Therefore, solution is given by:
at t = 0, x = 1
at t = 0
x' =0
Step-by-step explanation:
what does this answer 23498731345 times 36 over 2
Answer:422977164210 or it could be [tex]4.2297716421(10) ^{11}[/tex]
Step-by-step explanation:
The sum of 7 and 3 times a number is 34.
What is the number?
Answer:
9
Step-by-step explanation:
Let the unknown number be x
Sum means add
7 + 3x = 34
Subtract 7 from each side
7+3x-7 = 34-7
3x = 27
Divide by 3
3x/3 = 27/3
x = 9
solve for x! please help (show work)
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
Solving for [tex]x[/tex], we get:
[tex]16=2(3x-6)+x[/tex]
[tex]16=2*3x+2(-6)+x[/tex] (Distributive Property of Multiplication)
[tex]16=6x-12+x[/tex] (Multiply distributed terms)
[tex]16=7x-12[/tex] (Combine like terms)
[tex]16+12=7x-12+12[/tex] (Add [tex]12[/tex] to both sides of the equation to isolate [tex]x[/tex])
[tex]28=7x[/tex] (Combine like terms / Simplify)
[tex]\frac{28}{7}=\frac{7x}{7}[/tex] (Divide both sides of the equation by [tex]7[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]\bf x=4[/tex] (Simplify / Symmetric Property of Equality)
Hope this helps!
Step-by-step explanation:
[tex]16 = 2(3x - 6) + x \\ 16 = 6x - 12 + x \\ - 6x - x = - 12 - 16 \\ - 7x = - 12 - 16 \\ 7x = 12 + 16 \\ 7x = 28 \\ x = \frac{28}{7} \\ x = 4[/tex]
Which of the following could be the equation of the line passing through (8, 3) parallel to y = -2.
Answer:
y = 3 passes through (8, 3) and is therefore parallel to y = -2
Step-by-step explanation:
Any line parallel to y = -2 is a horizontal one, and it has the same slope (zero) as does y = -2.
We could invent the horizontal line y = 3 (which comes from the point (8, 3) and surmise that it is parallel to the given line y = -2.
Thus, y = 3 passes through (8, 3) and is therefore parallel to y = -2.
In the future, please share any answer choices that are give you. Thank you.
in golf, a player's score on each hole is always an integer. The more negative the score, the better it is. A golfer's combined score for the 18 holes is -5. The golfer score -2 on each of the several holes. on all the other holes the golfer scored a combined total of +1. On how many holes did the golfer score -2?
Answer:
3
Step-by-step explanation:
3*(-2)=-6
-6+1=-5
So over the course of 15 holes, he had a COMBINED total of +1.
The three remaining holes, he scored -2 on each of them.
The golfer score -2 in the three remaining holes.
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that the more negative the score, the better it is. A golfer's combined score for the 18 holes is -5.
The golfer score -2 on each of the several holes.
3*(-2)=-6
Then on all the other holes the golfer scored a combined total of +1.
-6+1 = -5
So, the course of 15 holes, he had a combined the total of +1.
Then the three remaining holes, he scored -2 on each of them.
Hence, the golfer score -2 in the three remaining holes.
Learn more about the unitary method;
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Don’t understand this problem
Answer: I'm not Einstein sorry
Step-by-step explanation:
Have to be smart as Einstein.................Which I'm not
If there are 43,560 square feet in an acre, and there are 7.5 gallons in a cubic foot, calculate gallons of irrigation water per square foot?
The gallons of irrigation water is 326,700 gallons per square foot
Given:
area of the land, A = 43,560 ft²/acre
7.5 gallons = 1 ft³
To find:
number of gallons per square foot
Note:
1 acre = 43,560 ft²1 acre-foot = 43,560 ft³The number of gallons per square foot is calculated as;
[tex]= \frac{43,560 \ acre}{ft^2} \times \ foot\times \frac{7.5 \ gallons}{ft^3} \\\\= \frac{43,560 \ acre-ft}{ft^2} \times \frac{7.5 \ gallons}{ft^3} \\\\= \frac{43,560 \ ft^3}{ft^2} \times \frac{7.5 \ gallons}{ft^3}\\\\= \frac{43,560 \ ft^3}{ft^3} \times \frac{7.5 \ gallons}{ft^2}\\\\=(43,560\times 7.5) \frac{gallons}{ft^2} \\\\= 326,700 \ \frac{gallons}{ft^2}[/tex]
Therefore, the gallons of irrigation water per square foot is 326,700 gallons per square foot.
Learn more here: https://brainly.com/question/21631650
Find the mean 9,1,8,3,2,1 graphically.
sequence 32,52,72,92 simplified
Step-by-step explanation:
the common increment is 20
Answer:
8, 13, 18, 23
Step-by-step explanation:
A raffle offers one $8000.00 prize, one $4000.00 prize, and five $1600.00 prizes. There are 5000 tickets sold at $5 each. Find the expectation if a person buys one ticket.
Answer:
The expectation is [tex]E(1 )= -\$ 1[/tex]
Step-by-step explanation:
From the question we are told that
The first offer is [tex]x_1 = \$ 8000[/tex]
The second offer is [tex]x_2 = \$ 4000[/tex]
The third offer is [tex]\$ 1600[/tex]
The number of tickets is [tex]n = 5000[/tex]
The price of each ticket is [tex]p= \$ 5[/tex]
Generally expectation is mathematically represented as
[tex]E(x)=\sum x * P(X = x )[/tex]
[tex]P(X = x_1 ) = \frac{1}{5000}[/tex] given that they just offer one
[tex]P(X = x_1 ) = 0.0002[/tex]
Now
[tex]P(X = x_2 ) = \frac{1}{5000}[/tex] given that they just offer one
[tex]P(X = x_2 ) = 0.0002[/tex]
Now
[tex]P(X = x_3 ) = \frac{5}{5000}[/tex] given that they offer five
[tex]P(X = x_3 ) = 0.001[/tex]
Hence the expectation is evaluated as
[tex]E(x)=8000 * 0.0002 + 4000 * 0.0002 + 1600 * 0.001[/tex]
[tex]E(x)=\$ 4[/tex]
Now given that the price for a ticket is [tex]\$ 5[/tex]
The actual expectation when price of ticket has been removed is
[tex]E(1 )= 4- 5[/tex]
[tex]E(1 )= -\$ 1[/tex]
what is PI numbers?
Answer:
These are the first 100 digits of pi: 3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067
Step-by-step explanation:
Pi goes on continuously forever, so this is a reduced version, by including the first 100 digits.
Simplify the product. (–7) + (–7) + (–7) + (–7)
Answer:
-28
Step-by-step explanation:
(–7) + (–7) + (–7) + (–7)
=> -7 -7 -7 -7
=> - 28
please answer this question please
Step-by-step explanation:
C = Amount (A) - Principal (P)
Where
C is the compound interest
To find the amount we use the formula
[tex]A = P ({1 + \frac{r}{100} })^{n} [/tex]
where
P is the principal
r is the rate
n is the period / time
From the question
P = Rs 12, 000
r = 5%
n = 3 years
Substitute the values into the above formula
That's
[tex]A = 12000 ({1 + \frac{5}{100} })^{3} \\ A = 12000(1 + 0.05)^{3} \\ A = 12000 ({1.05})^{3} [/tex]
We have the answer as
Amount = Rs 13891.50Compound interest = 13891.50 - 12000
Compound interest = Rs 1891.50Hope this helps you
helppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
Brainliest!
Step-by-step explanation:
36x^-4y^2/5x^2y^-3z^-2
36y^5z^2/5x^6
make everything positive
Consider the functions
JIGO
For the x-values given in the table below, determine the corresponding values of six) and plot each point on the graph...
Х
-1
0
1
2
G(x)
Answer:
g(x) = 4, 6, 9, 13.5 for the x-values given
Step-by-step explanation:
The table and graph are attached.
Suppose that 17 inches of wire costs 68 cents,
At the same rate, how much (in cents) will 39 inches of wire cost?
cents
?
Cost of 17 inches of wire = 68 cents
Cost of 1 inch of wire
= 68 cents/17
= 4 cents
Cost of 39 inches of wire
= 4 cents × 39
= 156 cents
= $1.56
Answer:
17 inches of wire costs 68 cents,
Step-by-step explanation:
x=234
b=456
Solve for x:
x/-6 ≥ -20?
Answer: x ≤ 120
Step-by-step explanation: To get x by itself in this inequality, since it's being divided by -6, we must multiply both sides by -6, just like we would if we were solving an equation, but here is the trick you have to watch out for with inequalities.
When you multiply or divide both sides of an inequality by a
negative, you must switch the direction of the inequality sign.
So our second step in this problem reads x ≤ 120.
Please give this idea your full attention.
Even the most advanced algebra students will sometimes forget to switch the direction of the inequality sign when multiplying or dividing both sides of an inequality by a negative.
Answer:
x ≤ 120
I hope this helps!