Answer:
maybe 15 students or 63 students and if not I am sorry of that's wrong
A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were rejected at the final inspection and could not be sold. A new process is introduced that is intended to reduce the proportion of rejected screens. After the process has been in place for several months a random sample of 100 screens is selected and inspection. Of the 100 screens 6 are rejected. What are the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected
In hypothesis testing for this scenario, the null hypothesis (H-0) is that the proportion of rejected screens remains 12 percent (H-0: p = 0.12). The alternative hypothesis (Ha) is that the proportion of rejected screens is less than 12 percent (Ha: p < 0.12). A sample is taken and a significance test (such as a z-test for proportion) is conducted to decide if the null hypothesis can be rejected.
Explanation:The question is looking for you to conduct a hypothesis test to investigate whether a new process in manufacturing cell phone screens has led to a reduced proportion of rejected screens. When conducting such a hypothesis test, you'll need to consider a null hypothesis and an alternative hypothesis.
The null hypothesis (H-0) is often the initial claim about a population proportion. In this case, the null hypothesis would be that 12 percent of the screens (0.12) are still being rejected: H-0: p = 0.12.
The alternative hypothesis (Ha) is what you might believe to be true if the null hypothesis is proven to be incorrect. Here, the alternative hypothesis would be that less than 12 percent of screens are being rejected with the new process: Ha: p < 0.12.
To clarify, if the new process is effective, a lower proportion of screens should be rejected. Thus, the hypotheses to be tested are:
H-0: p = 0.12Ha: p < 0.12Lastly, after selecting the sample, compute the sample proportion. Here a total sample size of 100 screens with only 6 being rejected means the sample proportion (p) = 6/100 = 0.06.
From here, you would proceed to conduct a significance test (possibly a z test for proportion) and determine a p-value to make a decision regarding the null hypothesis.
Learn more about Hypothesis Testing here:https://brainly.com/question/34171008
#SPJ12
Write the standard form of the equation of the circle with its center at (-3,0), and a radius of 6.
What is the equation of the circle in standard form?
Ok i'm so sorry but if you could answer this for me? nobody else will! >0<
Enter the equation of the circle described below.
Center (-3, 0), radius /5
Answer:(X+3)^2 +y^2 =25
This is the correct answer, i just found it out
Are the expressions equivalent? Use j = 3 and j = 8 to determine if they are. 7(j – 2) 4j – 5 No, because when j = 8, the values of the expressions are different. Yes, because when j = 3, the value of both expressions is 7 and when j = 8, the value of both expressions is 42. Yes, because when j = 3, the value of both expressions is 7. Yes, because when j = 8, the values of the expressions are different.
Answer:
No, because when j = 8, the values of the expressions are different.
for a shorter answer, A
Step-by-step explanation:
No, because when j = 8, the values of the expressions are different. Therefore, option A is the correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 7(j-2)4j-5.
Here, j=3 ad j=8
When j=3, we have
7(3-2)4×3-5
= 7×1×4×3-5
= 84-5
= 79
When j=8, we have
7(8-2)4×8-5
= 7×5×4×8-5
= 1115
Therefore, option A is the correct answer.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ6
what is the area of a 3in by 3in square
Final answer:
The area of a 3in by 3in square is calculated by squaring the side length. The area is 9 square inches.
Explanation:
The area of a 3in by 3in square can be calculated by multiplying the length of one side by the length of another side since the sides are equal in a square. In this case, both sides measure 3 inches.
The formula for the area of a square is:
Area = side × side
Applying the formula for our 3in by 3in square:
Area = 3in × 3in = 9 square inches
This straightforward calculation represents how the surface area of a square object changes when the sides of the square are altered. When the sides of a square are scaled down by a fraction, the area changes by the square of that fraction (e.g., scaling down by 3/4 leads to an area that is 9/16 of the original).
Mr Tan invested $5000 in an endowment fund for
5 years. The fund pays an interest compounded
yearly. At the end of 5 years, he received a total of
$5800. Find the interest rate.
Answer:
Compound Interest Formula Solved For Rate:
log (1 + rate) = {log(total) -log(Principal)} ÷ Years
log (1 + rate) = {log(5,800) -log(5,000)} ÷ 5
log (1 + rate) = [3.7634279936 -3.6989700043] / 5
log (1 + rate) = 0.0644579893 / 5
log (1 + rate) = 0.0128915979
Then we raise 10 to the power of 0.0128915979 which equals
1.0301289629 = 1 + rate
Therefore, rate = .0301289629 and we multiply by 100 to make a percentage:
3.01289629 %
Source: https://1728.org/compint2.htm
https://1728.org/compint.htm
Step-by-step explanation:
Using the compound interest formula and the provided values, the interest rate for Mr Tan's investment is calculated to be approximately 3.02%.
Explanation:The subject problem belongs to the topic of Compound Interest in mathematics. The formula used for compound interest is A = P (1 + r/n)^(nt), where A represents the total amount received, P represents the principal (initial investment amount), r represents the rate of interest, n represents the number of times interest is compounded per time period, and t represents the time period.
In this problem, Mr Tan's initial investment, P, is $5000. The total amount, A, he received after 5 years is $5800. The interest is compounded annually meaning that n is 1. We rearrange the compound interest formula to solve for the interest rate: r = [(A/P)^(1/nt) - 1]n .
Using Mr Tan's values, the calculation becomes: r = [(5800/5000)^(1/5) - 1]*1. Thus, the interest rate is approximately 0.0302 or 3.02%.
Learn more about Compound Interest here:https://brainly.com/question/34614903
#SPJ2
write each ratio in simplest form:
3:6
10:5
16:24
Answer:
1:2
2:1
2:3
Step-by-step explanation:
3:6
Divide each side by 3
3/3: 6/3 1:2
10:5
Divide each side by 5
10/5 : 5/5 2:1
16:24
Divide each side by 8
16/8: 24/8 2:3
If the circumference of a circle is 50. How many inches long is it’s radius?
Answer:
7.9617
Step-by-step explanation:
r=c/2pi so 50/2(3.14)
Answer: about 7.9617 !
Step-by-step explanation: you to divide 50 by 3.14 to get the diameter, then divide the diameter by 2 to get the radius, then round it!
If a certain number is added to the numerator of 29/62 and twice the number is subtracted from the denominator, the result is equivalent to 3/4. What is the number? A) 4 B) 5 c)6 d) 7
(15points)
Answer:
Correct option: (d) 7.
Step-by-step explanation:
Let the number be denoted by x.
The original fraction is: [tex]\frac{29}{62}[/tex]
Add x to the numerator, i.e. 29 and subtract 2x from the denominator, i.e. 62.
The new fraction is: [tex]\frac{29+x}{62-2x}[/tex]
Now equate the new fraction to [tex]\frac{3}{4}[/tex] and solve for x as follows:
[tex]\frac{29+x}{62-2x}=\frac{3}{4}[/tex]
[tex]4(29+x)=3(62-2x)\\116+4x=186-6x\\4x+6x=186-116\\10x=70\\x=7[/tex]
The value of x is 7.
Thus, the correct option is (d).
find the value of x in the given right triangle
Step-by-step explanation:
It is a right angled triangle so with reference angle 37°
hypotenuse (b) = 10
perpendicular (p) = x
So
tan 37° = p/ b
0.75 = x / 10
x= 0.75/10
Therefore x = 0.075
Hope it will help you :))
NEW YORK
The standard configuration for a New York license
plate is 3 digits followed by 3 letters.
Source: New York State Department of Motor Vehicles
How many different license plates are possible
if digits and letters can be repeated?
234 ABC
O 1757600
1577600
12812904
11232000
The total number of possible New York license plates is 17,576,000.
The number of different license plates possible for a standard configuration in New York, where a license plate is composed of 3 digits followed by 3 letters, can be determined through combinatorial math.
Step-by-Step Solution:
There are 10 possible digits (0-9) and 26 possible letters (A-Z).Since repetitions are allowed, we calculate the total number of combinations for digits and letters separately.The number of ways to choose 3 digits is 10 3 = 10 × 10 × 10 = 1000.The number of ways to choose 3 letters is 26 3 = 26 × 26 × 26 = 17576.Multiplying these two results together gives the total number of possible license plates: 1000 × 17576 = 17576000.What is the approximate volume of the cylinder of 4cm and 9cm? Use 3.14 for π.
The volume of the cylinder is 452.16 cubic centimeter
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
We have to find the volume of cylinder
Radius of cylinder is 4cm and height is 9cm
The formula for volume of cylinder = πr²h
Plug in the values of r and h
Volume = π(4)²(9)
= π×16×9
=3.14×16×9
=452.16 cubic centimeter
Hence, the volume of the cylinder is 452.16 cubic centimeter
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ3
The approximate volume of a cylinder with a radius of 4 cm and a height of 9 cm is 452.16 cm³, using the formula V = πr²h with π approximated as 3.14.
Calculating the Volume of a Cylinder
To find the approximate volume of a cylinder with a radius of 4 cm and a height of 9 cm using 3.14 for π, you can use the formula for the volume of a cylinder, which is V = πr²h. In this case, V = 3.14 × (4 cm)² × 9 cm.
First, calculate the area of the base (which is a circle) by squaring the radius and multiplying by π: Area = π × r² = 3.14 × 4² = 3.14 × 16 = 50.24 cm². Next, multiply the area of the base by the height of the cylinder to get the volume: Volume = Area × Height = 50.24 cm² × 9 cm = 452.16 cm³.
Therefore, the approximate volume of the cylinder is 452.16 cm³.
which term means 1/1000 decimeter, millimeter, kilometer, decameter
Answer:
millimeter
Step-by-step explanation:
1/1000
A rectangular box has dimensions 4 ft by 5 ft by 2 ft. Increasing each dimension of the box by the same amount yields a new box with volume six times the old. Find how much each dimension of the original box was increased to create the new box. Round your answer to two decimal places.
Answer:
(4+x)(5+x)(5+x) = 700
x^3 + 14x^2 + 65x + 100 = 700
x^3 + 14x^2 + 65x - 600 = 0
x = 4.225
rounding = 4.23
Step-by-step explanation:
What is the slope of the line that contains these points?
x
12
13
14
15
y
-4
2
8
14
Answer:
6x-76
Step-by-step explanation:
If you graph it out, you'll realize it makes a line that cuts the y-intercept at -76, thus the last value. The slope also has a gradient of 6, thus the coeffecient of x.
Final answer:
The slope of the line through the points given is 6, calculated using the slope formula with the rise over run between the two points.
Explanation:
The slope of a line is calculated by finding the ratio of the vertical change (the rise) to the horizontal change (the run) between two points on the line. Using the coordinates provided (12, -4) and (15, 14), we can apply the slope formula slope (m) = (y_2 - y_1) / (x_2 - x_1). Plugging in the values gives us (14 - (-4)) / (15 - 12) = 18 / 3 = 6. Therefore, the slope of the line that contains these points is 6.
Need help now please
Which model accurately represents the chemical equation 2H2 + O2è 2H2O?
Answer:
B
Step-by-step explanation:
-The balanced chemical reaction of oxygen and water is written as:
[tex]2H_2_{(g)}+O_2_{(g)}->2H_2O_{(l)}[/tex]
-You notice that 2 moles of hydrogen gas reacts with one mole of oxygen gas to form 2 moles of water
-Hence, the correct choice is B
What is the midpoint of the straight line segment joining the points (-2, 9) and (3, -2)?
Answer:
x2-x1/y2-y1
-2--2/3-9=-2+2/3-9
=0/-3
The time it takes students to complete a statistics quiz has a mean of 20.5 minutes and a standard deviation of 15.4 minutes. What is the probability that a random sample of 40 students will have a mean completing time greater than 25 minutes
Final answer:
To find the probability that the sample mean is between two hours and three hours, calculate the z-scores and use the z-table to find the probability.
Explanation:
To find the probability that the sample mean is between two hours and three hours, we need to calculate the z-scores corresponding to these values and use the z-table to find the probability.
First, we calculate the z-score for two hours:
z = (2 - 2.5) / (0.25 / sqrt(60)) = -3.16
Next, we calculate the z-score for three hours:
z = (3 - 2.5) / (0.25 / sqrt(60)) = 3.16
Using the z-table, we find that the probability of getting a z-score between -3.16 and 3.16 is approximately 0.9986. Therefore, the probability that the sample mean is between two hours and three hours is approximately 0.9986.
]
Calculator question.
Whats is the minimum window that allows r^2=4cos(2theta)
multiple choice
A. [0,2pi]
B. [0,pi]
C. [-2pi,2pi]
D [0,pi/2]
Answer:
D. [0,pi/2]
Step-by-step explanation:
when Ф = 0 in radian
r²= 4cos (2(0))
r² = 4 * 1
r² = 4
∴ r = √4 = 2
r = 2.
when Ф = π/2 in radian
r²= 4cos (2(π/2))
r² = 4 * -1
r² = -4
∴ r = 0
You mix the letters A, C, Q, U, A, I, N, T, A, N, C, and E thoroughly. Without looking, you select one letter. Find P(Q or C) as a fraction, a decimal, and a percent.
Answer:
P(Q or C) = 0.25
Step-by-step explanation:
We are given the following in the question:
Letters:
A, C, Q, U, A, I, N, T, A, N, C, E
Total number of observations, n = 12
We have to find the probability that a randomly selected letter is Q or C.
Formula:
[tex]\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]
P(Q or C) =
[tex]=\dfrac{\text{n(Q or C)}}{n} = \dfrac{3}{12} =0.25 = 25\%[/tex]
Thus,
P(Q or C) = 0.25
NEED HELP ON THIS WILL GIVE CROWN
Matt buys 14 jars of paint. Each jar contains 300 milliliters of paint.
How many liters of paint in all is there in the jars?
4.2 L
42 L
420 L
4,200 L
Of students taking a course through NCVPS, 7/15 play a sport and 3/5 play a musical instrument.The probability that a NCVPS student plays a sport or a musical instrument is 2/3. What is the probability that a NCVPS student play a sport AND a musical instrument?
Answer: 7/25 or 0.28
Step-by-step explanation:
Given that 7/15 play a sport and 3/5 play a musical instrument.
The probability that a NCVPS student play a sport AND a musical instrument means multiplication of the two probabilities
7/15 × 3/5 = 21/75 = 7/25
cost of x articles at 2 dollars each
Answer:
2x
Step-by-step explanation:
Cost of x articles at 2 dollars each = 2x
1 + 4x = -5 + 7x
Help plz
Answer:
x=2
Step-by-step explanation:
1 + 4x = -5 + 7x
Subtract 4x from each side
1 + 4x-4x = -5 + 7x-4x
1 = -5+3x
Add 5 to each side
1+5 = -5+5+3x
6 = 3x
Divide each side by 3
6/3 = 3x/3
2 =x
Solve the system of equations using the substitution method.
-5x − 3y = 16
y = x
Answer:
-5x - 3x = 16
-8x = 16
x = -2
y = x
Step-by-step explanation:
Answer:
(-2, -2)
Step-by-step explanation:
Make use of the 2nd equation to eliminate x or y in the 1st equation:
-5x - 3(x) = 16
Then -8x = 16, and x = -2. Since we are told that y = x, y = -2.
The solution is (-2, -2).
Which fraction has a terminating decimal as its decimal expansion?
Answer:
fraction which has a terminating decimal as its decimal expansion is:
1/5
Step-by-step explanation:
We are given 4 fractions:
1/3 , 1/5 , 1/7 and 1/9
We have to find which fraction has terminating decimal.
1/3 = 0.33333...
1/5 = 0.2
1/7 = 0.142857142857...
1/9 =0.11111.....
Hence, fraction which has a terminating decimal as its decimal expansion is:
1/5
Final answer:
A fraction will have a terminating decimal if its denominator is a power of 2, a power of 5, or a combination of both since the base of our number system is 10. Examples like 1/8 and 5/16 have terminating decimals because their denominators are powers of 2.
Explanation:
A fraction will have a terminating decimal expansion if its denominator can be written in the form 2n5m, where n and m are nonnegative integers. This is because the base of our number system is 10, which is 2×5. So any fraction with a denominator that is a factor of a power of 10 will have a terminating decimal expansion.
Example:
Consider the fraction 1/8. Since 8 is 23, which is a power of 2, 1/8 has a terminating decimal of 0.125.For the fraction 5/16, the denominator 16 is 24. Because it contains only the prime factor 2, 5/16 has a terminating decimal of 0.3125.In contrast, a fraction like 1/3 does not have a prime factorization that matches the form 2n5m and therefore has a non-terminating decimal expansion (0.333...).
a scientist has 400ml of a 8% solution. how much water needs to be added to lower it to a 2% solution?
1200 ml of water needs to be added to lower it to a 2% solution.
Step-by-step explanation:
Given that,
A scientist has 400ml of a 8% solution.
you need to find how water is required to lower the 400 ml to 2% solution.
Let 'x' be the amount of water added to lower it 2% solution.
The formula is given by,
volume of the liquid × % of solution = volume of the new liquid × new %
This can be denoted in chemical relationship ⇒ c₁v₁=c₂v₂ where c is concentration and v is volume .
Now, to find the total volume of new liquid in ml :
400 ml = v₁
0.08= c₁
0.02=c₂
v₂=?
400 × 0.08 =v₂ × 0.02
v₂=1600 ml
To find the x value :
Amount to be added = volume of new liquid - volume of liquid before.
⇒ x =1600-400
⇒ x =1200 ml
∴ 1200 ml of water needs to be added to lower it to a 2% solution.
To win a contest, the number of beans in a jar has to be guessed within 20 of the actual number. If the number of beans in the jar is 645, which equation can be used to find the minimum and maximum number of beans that will win the contest, and what is the maximum guess that could win?
Answer:
Step-by-step explanation:
Let the number of allowable guess be x.
The difference between allowable guess and 645 must not exceed 20.
So, either,
|645 - x| ≤ 20
Or
|x - 645| ≤ 20
where that sign represents the absolute sign.
Hope this Helps!!!
Answer:
| x - 645 | = 20
665
Step-by-step explanation:
We have to guess the amount of beans in a jar to be within 20 of the actual number.
Therefore, the total has to be equal to 20.
We know that the equation required to calculate the minimum and maximum quantity of beans that will win the contest will be:
| x - 645 | = 20
But as we want is the maximum, we break the absolute value and assume "+"
Thus:
x - 645 = 20
fixed for x:
x = 20 + 645
x = 665
The maximum guess you could win is 665
The hypotenuse of a right triangle is 12, and one of the legs is 4, what’s the missing leg
Answer:
About 11.31
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + b^2 = 12^2
16 + b^2 = 144
-16 -16
b^2 = 128
Take the square root of both sides
b= approximately 11.31
Assume that when adults with smartphones are randomly selected, 46% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes.
Answer:
0.2027 is the probability that exactly 3 out of 9 adults use their smartphones in meetings or classes.
Step-by-step explanation:
We are given the following information:
We treat adult using smartphones in meetings or classes as a success.
P(Adult using smartphone) = 46% = 0.46
Then the number of adults follows a binomial distribution, where
[tex]P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}[/tex]
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 9
We have to evaluate:
[tex]P(x = 3)\\\\= \binom{9}{3}(0.46)^3(1-0.46)^6\\\\= 0.2027[/tex]
0.2027 is the probability that exactly 3 out of 9 adults use their smartphones in meetings or classes.
Final answer:
To find the probability that exactly 3 of the 9 randomly selected adult smartphone users use their smartphones in meetings or classes, we can use the binomial probability formula.
Explanation:
To find the probability that exactly 3 of the 9 randomly selected adult smartphone users use their smartphones in meetings or classes, we can use the binomial probability formula. The binomial probability formula is given by:
P(X=k) = C(n,k) * p^k * (1-p)^(n-k)
where:
P(X=k) is the probability of getting exactly k successes
C(n,k) is the combination formula
p is the probability of success (46% in this case)
n is the total number of trials (9 in this case)
Plugging in the values, we get:
P(X=3) = C(9,3) * (0.46)^3 * (1-0.46)^(9-3)
P(X=3) = 84 * (0.46)^3 * (0.54)^6
P(X=3) = 0.299 (rounded to three decimal places)
The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
Answer:
= 1700 :)
Step-by-step explanation:
-multiply all the sides,
-add them,
- then double the answer (or times it by 2):
1) 30 times 20 = 600
30 times 5= 150
20 times 5 =100
2) Add them:
600+150+100 = 850
then times 850 by 2
850 times 2 = 1700
Hope that helped :)
Answer:
Guys for this one the 30, 20, 5 is 1700
Step-by-step explanation: