Answer:
[tex]\text{Probability}=4.3\%[/tex]
Step-by-step explanation:
Given : In a batch of 280 water purifiers, 12 were found to be defective.
To find : What is the probability that a water purifier chosen at random will be defective? Write the probability as a percent.
Solution :
Total number of batch of purifiers = 280
Number of defective purifiers = 12
The probability that a water purifier chosen at random will be defective is given by,
[tex]\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}[/tex]
[tex]\text{Probability}=\frac{12}{280}[/tex]
[tex]\text{Probability}=\frac{3}{70}[/tex]
Converting into percentage,
[tex]\text{Probability}=\frac{3}{70}\times 100[/tex]
[tex]\text{Probability}=4.28\%[/tex]
Round to nearest tenths,
[tex]\text{Probability}=4.3\%[/tex]
Find z so that 6% of the standard normal curve lies to the left of z. remember that this means you are looking for the area (which means you need to find the 4 digit number in the area portion of table 3 that is closet to 6%).
We can solve this problem by referring to the standard normal probabilities table for z statistic.
At P = 0.06 to the left of z, this corresponds to a value of approximately z = -1.55
Answer: z = - 1.55 (P = 0.0606 ~ 0.06)
Which represents the number 7,776 in exponential form? 68 36 28 65
How many numbers between 1 and 101 are evenly divisible by 4 but not by 8?
101/4 = 25.25
so 25 numbers are divisible by 4
101/8 = 12.625
so 12 numbers are divisible by 8
25-12 =13
so 13 numbers are divisible by 4 but not by 8
Abcd is a quadrilateral. three of the angles of abcd measure 100°, 87°, and 106°, respectively. find the measure of the missing angle.
a. 67°
b. 74°
c. 80°
d. 87°
WILL GIVE A BRAINLIEST!! PLEASE HELP
Determine whether the sequence below is a geometric sequence and, if so, find a formula that describes the sequence.
3, 1, 1/3, 1/9, …
A.
a(n)=3x(1/3)n-1
B.
a(n)=1/3(3)n-1
C.
a(n)=3x(n-1)^3
D.
The sequence is not a geometric sequence.
Mrs. Patil bought 4 packs of pencils for her class. Then she bought 3 more packs of pencils. There are 12 pencils in a pack. How many pencils did she buy?
The number of pencils from 7 packs is 84.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Mrs. Patil bought 4 packs of pencils for her class. Then she bought 3 more packs of pencils.
Now, 4+3 =7 packs
There are 12 pencils in a pack.
Here, number of pencils =12×7
= 84 pencils
Therefore, the number of pencils from 7 packs is 84.
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Find the equation of the parabola whose vertex is the origin and whose directrix is x=-4
Answer:
D
Step-by-step explanation:
2020 2021
Equation of the parabola whose vertex is the origin and whose directrix is x=-4 is x=0.
What is Parabola?A parabola is a curve where any point is at an equal distance from: a fixed point (the focus ), and; a fixed straight line (the directrix )
As we have vertex at the origin i.e. (0,0) and directrix is x=-4 and a line parallel to y-axis,
it must have a focus at (4,0)
Equation of the parabola represents locus of a point (x, y), which moves so that its distance from x=-4 to (4,0) are equal.
Hence, equation of parabola is
(x-4)²+(y-0)²=(x+4)²
(x-4)²+y²=(x+4)²
x²+16-8x=x²+16+8x
-16x=0
x=0
Hence, equation of the parabola whose vertex is the origin and whose directrix is x=-4 is x=0.
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I spent 25 Points, PLEASE HELP! In a graph, x represents the number of months since a business opened, and y represents the total amount of money the business has earned. The following three points are from the graph:
(2, 1990) (5, 4225) (9, 7205)
Find the slope and y-intercept. Explain what each represents.
The slope of this scenario is 745. The slope represents the profit made each month.
Solve 2 cos theta + 2 = 3 in the interval from 0 to 2pi. Round to the nearest hundredth.
Final answer:
The solutions to the equation 2 cos θ + 2 = 3 in the interval from 0 to 2π are θ = π/3 and θ = 5π/3, which approximate to 60 degrees and 300 degrees.
Explanation:
The equation given is 2 cos θ + 2 = 3. To solve this equation, first subtract 2 from both sides to get 2 cos θ = 1. Then, divide both sides of the equation by 2 to isolate cos θ, yielding cos θ = 0.5.
In the interval from 0 to 2π (0 to 360 degrees), cos θ = 0.5 occurs at θ = π/3 and θ = 5π/3 (60 degrees and 300 degrees), as these are the angles in the first and fourth quadrants where the cosine value is positive and equal to 0.5.
Therefore, the solutions to the equation are θ = π/3 (θ ≈ 1.05 radians) and θ = 5π/3 (θ ≈ 5.24 radians), or θ ≈ 60 degrees (θ ≈ 1.05) and θ ≈ 300 degrees (θ ≈ 5.24) when rounded to the nearest hundredth of a radian.
PLEASE HELP IMAGE ATTACHED!! can u explain how to do it
What is the exponential function modeled by the following table? x f(x) 2 10 3 28 4 82 f(x) = 2x f(x) = 2x + 1 f(x) = 3x f(x) = 3x + 1
A f(x) = 2x
B f(x) = 2x + 1
Cf(x) = 3x
D f(x) = 3x + 1
Answer:
D f(x) = 3x + 1
Step-by-step explanation:
Arby's age is 6 years less than 7 times Anna's age. If Anna's age is x years, which expression best shows Arby's age?
x
7x − 6
x − 1
6x − 7
Answer:
A = 7x - 6
Step-by-step explanation:
The options aren't very clear, but the answer would be (assume that A is Arby's age):
A = 7x - 6
Answer:
A
Step-by-step explanation:
In standard notation, 2.34 x 102 is 23,400. true or false
Assuming that the equations define x and y implicitly as differentiable functions x=f(t),y=g(t) find the slope of the curve x=f(t), y=g(t) at the given value of t x(t+1)-4tsqrt(x)=9, 2y+4y^3/2=t^3+t , t=0
Final answer:
To find the slope of the curve at a given value of t, differentiate the implicit equations x=f(t) and y=g(t) with respect to t, then substitute the given t value into the derivatives to find the slopes.
Explanation:
Slope of the curve at the given value of t:
Given equations: x(t+1)-4tsqrt(x)=9 and 2y+4y^3/2=t^3+t, t=0Differentiate the equations x and y with respect to t to find dx/dt and dy/dtSubstitute t=0 into the derived dx/dt and dy/dt to find the slopes at the given value of tSelect all the numbers that are multiples of 9.
9
21
27
45
54
78
81
38
Answer: 9, 27, 45, 54, 81,
Hope this helps! :)
Determine the sample size required to estimate the mean score on a standardized test within 5 points of the true mean with 99% confidence. assume that s=17 based on earlier studies.
Based on the mean score and the confidence interval, the sample size required to estimate the mean score is 77.
What is the sample size required?This can be found as:
= (Z score for 99% interval² x Sample size²) / Points off the true mean ²
Solving gives:
= (2.576² x 17²) / 5²
= 76.7
= 77
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Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function. f(x) = 5x + 4 h(x) = x2 + 8x + 24
x = -3
x = 3
x = 4
x = 5
The correct answer is x = 5.
Trust me, I just did the quiz.
If wx = XZ, then WX = YZ
A long distance runner can run 9 miles per hour. how many hours will it take the runner to run 27 miles
The long-distance runner will take 3 hours to run 27 miles.
What is a unitary method example?In simple terms, the unitary method is used to find the price of a single unit from a given multiple.
Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
You divide 27 miles by 9 miles per hour, getting 27/9 (miles/(miles))hour.
The units cancel out to make hours
This runner takes 1 hr to run 9 miles.
So, to run 27 miles the runner will take
= 27/9
= 3 hours.
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To solve the system of linear equations 3x+5y=2 and 6x+10y=8 by using the linear combination method, Laura correctly multiplied the first equation by –2 to get -6x-10y=-4 and then correctly added the equations -6x-10y=-4 and and then correctly added the equations -6x-10y=-4 and 6x+10y=8 to get 0 = 4. How many solutions are there to the system of equations?
A. 0
B. 1
C. 2
D. 4
Answer:
The two linear equation are
1. 3 x + 5 y =2
2. 6 x + 10 y = 8
If you will multiply equation (1), by number ,2 you will get
6 x + 10 y=4
or, if you will divide equation 2,by 2 you will get ,line
2 × (3 x + 5 y)=2 × 4
3 x + 5 y=4
→Slope of line 1
[tex]=\frac{-3}{5}[/tex]
→Slope of line 2
[tex]=\frac{-6}{10}=\frac{-3}{5}[/tex]
→→Slope of two lines are equal , so they are parallel.
Parallel lines never intersect. So,there is no solution.
Option A: 0
when do we say that a real number, say r, is a root of a given polynomial equation in x?
what's the exact circumference of the circle
a. 7p cm
b. 5p cm
c. 10p cm
d. 4p cm
Answer:
B
Step-by-step explanation:
not sure
MN = 2AB, so 3MN = 6AB. This is an illustration of which property?
PLEASE HURRY!!! 30 POINTS
A rectangle has an area of 102 cm2. The length of the rectangle is 17 cm.
What is the perimeter of the rectangle?
Answer:
(Really really really sorry if this incorrect)... ok so it's 17 cm tall in length. That would be 17 blocks high, for example. The area is 102, so 102 cm2 divided in half equals 51, so the width would be 51 cm. So the perimeter is 17 + 17 + 51 + 51 = 136 cm.
p=2L+2w solve for w helppppp
in an isosceles trapezoid, how do you prove the base angles are congruent?
The level of detail that infants can see at 20 feet is equivalent to the level of detail that adults can see at _____ feet.
Grace is planning a move to a different city. She contacts two local rental companies and obtains the following information for the one-day cost of renting a truck: Company A: $40.95 per day plus $0.19 per mile Company B: $19.95 per day plus $0.49 per mile Let n represent the total number of miles driven in one day. Write an inequality that can be used to determine for what number of miles it is less expensive to rent the truck from Company B.
What would the answer be?
A square has sides 5.3cm long. Work out the area of the square
Answer:
Area of square = 28.09 square cm.
Step-by-step explanation:
Given : A square has sides 5.3 cm long.
To find : Work out the area of the square.
Solution : We have given
Side of square = 5 .3 cm .
Area of square = side * side .
Area of square = 5.3 * 5.3 .
Area of square = 28.09 square cm.
Therefore, Area of square = 28.09 square cm.