Leandro wants to build a one-sample
z
zz interval with
98
%
98%98, percent confidence to estimate the proportion of light bulbs that arrive broken upon shipment to his store. He takes a random sample of
500
500500 bulbs and finds that
25
2525 arrived broken.
Answers
Answer:
z ∗ = 2.326
Step-by-step explanation:
The percent of broken bulb will be 5%.
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
He takes a random sample of 500 bulbs.
He finds that 25 bulbs arrived broken.
The percentage of broken bulb will be,
= (25/500) * 100
= 0.05 * 100
= 5%
Thus, 5 percent of bulb are broken.
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Related Questions
if x-3 is directly proportional to the square y and x=5 when y=2 find x when y=6
Answers
Answer:
If x-3 is directly proportional to the square of y, then we can say that:
(x-3) = ky^2
Where k is a constant of proportionality.
If x=5 when y=2, we can substitute these values into the equation to find the value of k:
(5-3) = k(2)^2
2 = 4k
k = 0.5
Now that we have the value of k, we can use it to find the value of x when y=6:
(x-3) = (0.5)(6)^2
x-3 = 18
x = 21
So, if x is directly proportional to the square of y and x=5 when y=2, then x=21 when y=6.
Liliana used 444 dark power crystals to raise 141414 zombie soldiers. She wants to know how many zombie soldiers (z)(z)(, z, )she can raise with 101010 dark power crystals. How many zombie soldiers can Liliana raise with 101010 power crystals
Answers
On solving the provided question, we can say that by unitary method With ten power crystals, 35 zombie troops can be raised.
What is unitary method ?
The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
Liliana raised 14 zombie troops with the help of four dark power stones.
Zombie troops can be increased to a total of 14 with 4 Dark power crystals. Zombies can be raised with 1 Dark power crystal, or 14/4.
Zombie soldiers can be raised using 1 Dark power crystal, or 7/2.
Zombie troops can be generated with 1 Dark power crystal by adding 10 to 7/2. You can produce 5 * 7 zombie troops with 1 Dark power crystal.
35 zombie troops can be generated with 1 dark power crystal.
With ten power crystals, 35 zombie troops can be raised.
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What’s number 2 ???
Please help
Answers
Answer:
c
Step-by-step explanation:
i think
Answer:
[tex]CB = 7.5[/tex]
Step-by-step explanation:
Well, if the question gave you a right triangle, an angle, and the side length of the side opposite to that angle, this question should scream (TRIGONOMETRY). So tap into your brain and think about how you can use sin, cosine, and/or tangent to solve the problem.
So notice that the question is asking for the side length of CB, the side adjacent to the angle C (53 degrees). Since we already have the length of the side opposite to C (10), we can use tangent, because we know the value of tan58 if we put it in a calculator, and we know the length opposite to C.
[tex]tan(53) = 10/CB[/tex]
[tex]CB * tan(53) = 10[/tex]
[tex]CB = \frac{10}{tan(53)}[/tex]
[tex]CB = \frac{10}{1.327} = 7.5359...[/tex]
The population of cats in a rural neighborhood has declined in the last year by roughly 30%. Residents hypothesize that this is due to wild coyotes preying on the cats. The current cat population is estimated to be 120. Approximately, how many cats were there originally?
Answers
Answer:
Orinal number of cats= 171
Step-by-step explanation:
Giving the following information:
Decrease in population= 30%
Current population= 120
To calculate the original number of cats, we need to use the following formula:
Orinal number of cats= current population / (1 - decrease)
Orinal number of cats= 120 / (1 - 0.3)
Orinal number of cats= 171
What is the length of the missing leg (in millimeters)
Answers
Answer:62
Step-by-step explanation: if you divide 10mm by 8mm you will get the celcius of negative 98mm then count the right angle vice versa and you will get 62
Jiri's hamster was put on a special diet. Over 5 days, his hamster ate about 0.054 kg of food. About how much food did Jiri's hamster eat in one day?
Answers
Answer:
0.0108 kg
Step-by-step explanation:
Jiri is on a special diet
Over 5 days he eats 0.054
Therefore the food consumed in a day can be calculated as follows
5 days= 0.054
1 day= 0.054/5
= 0.0108kg
Three Baby penguins and their father were sitting on an iceberg 0.75 meters above the surface of the water. The father dove down 5.7 meters from the iceberg into the water to catch dinner for his kids. What is the father penguin's position relative to the surface of the water? Solve this problem and explain how you solved this problem and came to your answer.
Answers
To find how much he went under water level you do :
5.7-0.75=4.95 m underwater level ! Hope this helps
what is 12/90 pls help tysm!
Answers
Answer:
Hi! Not sure if this is the answer you're looking for, but 12÷90 is 0.13333333333 repeating :)
Answer:
12/90 as a decimal is 0.13333333333 recurring
Step-by-step explanation:
simplified it should be 2/15
Please help
Dean collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected:
Favorite Sport
Swimming Running Volleyball Row totals
Grade 8 0.17 0.24 0.05 0.46
Grade 9 0.14 0.18 0.22 0.54
Column totals 0.31 0.42 0.27 1
Based on the data, which statement is most likely correct?
In Grade 8, 17 students liked swimming.
In Grade 9, 27% of students liked volleyball.
In Grade 9, 14 students liked running.
In Grade 9, 18% of students liked running.
Answers
Based on the data, the statement that is most likely correct is D. In Grade 9, 18% of students liked running.
How to illustrate the information?The ratio (fraction or proportion) of the number of times a data value appears in the set of all outcomes to the total number of outcomes is known as the relative frequency.
From the information, the Dean collected data on the favorite sports of the students of two grades.
Here, the table shows the relative frequencies of rows for the data collected:
Swimming Running Volleyball Row totals
Grade 8 0.17 0.24 0.05 0.46
Grade 9 0.14 0.18 0.22 0.54
Column totals 0.31 0.42 0.27 1
In the table, Grade 9, 18% of students liked running. This is Illustrated above. The correct option is D.
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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answers
Answer:
x = -2+√3i and -2-√3i
Step-by-step explanation:
The formula for the general formula is expressed as;
x = -b±√b²-4ac/2a
Given the expression
x²+4x+7 = 0
a = 1, b = 4 and c = 7
Substitute
x = -4±√4²-4(1)(7)/2(1)
x = -4±√16-28/2
x = -4±√-12/2
x = -4±√4*-3/2
x = -4±2√-3/2
x = -4±2√3i/2
x = -4+2√3i/2 and -4-2√3/2
x = -2+√3i and -2-√3i
Plz, help me with this question!
Answers
Answer:
I think D is right, because usually congruent angles have the same angle measure, and there's no answer choice for 1 and 3.
How many 8-character passwords consisting of uppercase letters, lowercase letters and digits are there that start and end with the same symbol
Answers
Can be cracked within eight hours by the average hacker.
How many 8-character passwords may use both uppercase and lowercase letters?With spaces included in the character count, 8 characters equals between 1 and 2 words. If spaces are excluded from the character count, 8 characters equals between 1 and 3 words.
There are 8-character passwords with capital letters, lowercase letters, and numerals that begin and end with the same symbol.A password of eight characters with just lowercase and capital letters offers 200 billion potential permutations.“1uppercase” is an example of an 8-character password. This password has one uppercase, one lowercase, one number, and one special character.
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1 Which of the following trinomials can be factored?
A x² + 3x + 3
B x² + 3x - 3
C x² + 3x + 2
D x²-3x - 2
Answers
X²-3There are a number of ways to factor equations like x2 -3x+2=3x+2=0. If all the terms are positive: (x + ) (x + )=0, If the center term is negative: ( (-)( x -)=0 • If the last or if both terms are negative: ( x +)(x-)=0
What are the trinomial rules?The following are the rulesIf, ll trinomial terms are positive, then all binomial terms will be positive.If the trinomial’s last term is negative but the middle and first terms are positive, one term of the binomial will be negative and the other will be positive.
If we can find two numbers whose product is A * C and whose sum is B, we may factor a trinomial of the type Ax2 + Bx + C. Exemplification 1. Determine if 4x2 + 8x + 3 can be factored. Solution. We want for two numbers whose product is (4)(3) = 12 and whose total is 8. (the coefficient of x).
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the volume of a cube is 64in squared (2). what’s the length of each side of the cube please help asap
Answers
Answer:
4in squared
Step-by-step explanation:
We know that cubes have equal parts all around, and it is basic knowledge for the most part to know 4x4x4 = 64. Therefore, each length must be 4, length, width,and height are all 4.
It’s supposed to say true or false but can someone help giving brainliest
Answers
Answer:
True
Step-by-step explanation:
e^{i\pi} + 1 = 0
Simplifying and therefore meaning that the answer is true.
But in all seriousness 6*3 = 18
6*4a = 24a
So yes it is true :)
jena bought $8 shirt and paid $8.48 with a sales tax. what is the percent of sales tax
Answers
Answer:
48 cents
Step-by-step explanation:
Answer:
48 cents
Step-by-step explanation:
7m-8=3(2m+4)+m please help
Answers
Answer:
m=20
Step-by-step explanation:
Solve the equation:
7m - 8 = 3 ( 2 m + 4)
Multiply 3 and (2m+4)
7m - 8 = 6m + 12
Add 8 to each side
7m = 6m + 20
Subtract 6m from both sides
m = 20
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
In the given right angled triangle ABC, right
angled at B. P is the mid-point of AC. Prove that
BP=1/2AC
Answers
The right angled triangle is missing, so i have attached it.
Answer:
Proved below
Step-by-step explanation:
From the attached image, we can see that QP is parallel to BC.
Now, looking at triangles AQP and ABC, we can see that;
∠ AQP = ∠ ABC
Also;
∠ APQ = ∠ ACB
This means that triangles ABC and AQP are similar.
We are told that P is the mid-point of AC.
Thus; AP = PC
We can now say that;
AP:AC = 1:2 and AQ:AB = 1:2
Since AQ:AB = 1:2, it means Q is the midpoint of AB.
Now, ∠ AQP = ∠ BQP
However, according to SAS congruence test, AQP is congruent to BQP.
Thus; AP = BP = CP
Since AP:AC = 1:2 as we saw earlier, then;
BP:AC = 1:2
Thus:
BP/AC = ½
BP = ½AC
Hello- some help please!! I will give you brainlist :]
Answers
Answer:
standard form
= x⁶ + 53x⁵ + 2x⁴ -2
Step-by-step explanation:
the degree is 6.
leading coefficient is 1
this is called a polynomial.
it has 4 terms
The measure of the exterior angle of the triangle is
Answers
The measure of the exterior angle of the triangle is 139°.
What is an exterior angle theorem?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
From the two given angles are 75° and 64° and exterior angle is 2.
Now, ∠2=75°+64°
∠2=139°
Therefore, the measure of the exterior angle of the triangle is 139°.
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If p(x) is a polynomial function with p ( 3/4 ) = 0 , which statement is true?
A.The function has a factor of (4x + 3).
B. The function has a factor of (4x – 3).
C. The function has a factor of (3x + 4).
D. The function has a factor of (3x – 4).
Answers
If p(x) is a polynomial function with p ( 3/4 ) = 0 , then the function has a factor of (4x – 3).
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
If p(x) is a polynomial function with p ( 3/4 ) = 0
Then we need to find which of the given statements are true.
A. The function has a factor of (4x + 3).
If x=3/4 then 4(3/4)+3 which is not equal to zero
B. The function has a factor of (4x – 3).
If x=3/4 then 4(3/4)-3 which is equal to zero
C. The function has a factor of (3x + 4).
If x=3/4 then 3(3/4)+4 which is not equal to zero
D. The function has a factor of (3x – 4).
If x=3/4 then 3(3/4)-4 which is not equal to zero
Hence, If p(x) is a polynomial function with p ( 3/4 ) = 0 , then the function has a factor of (4x – 3).
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A watch increased in price by 4/5. After the increase it was priced at £126. What was the original price of the watch?
Answers
A watch increased in price by 4/5 is priced at £126, then the original price of the watch was £100.
We know that the price of the watch increased by 4/5. To find the original price of the watch, we can use the following formula:
original price = new price / (1 + increase percentage)
In this case, the new price of the watch is £126 and the increase rate is 4/5. So we have:
original price(1 + 4/5) = 126
original price = 126 / (1 + 4/5)
original price = 126 / (1+ 0.8)
original price = 126/1.8
original price = 70
So, the original price of the watch was £70.
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The equation x^3-5x=59 has a solution between 4 and 5. Use a trial and improvement method to find this solution. Give your answer to one decimal place. You must show all your working. On the same line as your final answer, you must write to "1 decimal place".
Answers
Answer:
The answer is "4.3".
Step-by-step explanation:
Given:
[tex]\to x^3 - 5x - 59 = 0[/tex]
When [tex]x = 4.1:[/tex]
[tex]\to f(4.1) = (4.1)^3 - 5(4.1) - 59 = -10.579[/tex]
When [tex]x= 4.2:[/tex]
[tex]f(4.2) = 4.2^3 - 5(4.2) - 59 = -5.912[/tex]
When [tex]x = 4.3:[/tex]
[tex]\to f(4.3) = -0.993[/tex] (closer to 0)
[tex]\to f(4.4) = 4.184[/tex]
It changes the sign so, the root lies in 4.3 and 4.4.When [tex]x = 4.35:[/tex]
[tex]\to f(4.35) = 1.563[/tex]
When the root is closer to 4.3 than 4.4 So, 1.563 is closer to zero than 4.184.
When [tex]x = 4.32:[/tex]
[tex]\to f(4.32) = 0.0216[/tex] close to zero.
So the answer is 4.3 to 1 decimal place.
solve the equation 2x+4 1/5=9. Explain the steps and properties you used.
Answers
Answer:
x = 2 2/5
Step-by-step explanation:
I will insert an image of my work below
The value of x is 12/5 from the equation 2x+[tex]4\frac{1}{5}[/tex]=9
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 2x+[tex]4\frac{1}{5}[/tex]=9
Two times of x plus four and one fifth equal to nine.
Convert the mixed fraction to improper
[tex]4\frac{1}{5}[/tex]=21/5
Now the equation will be 2x+21/5=9
Now subtract 21/5 from both sides by substitution property
2x=9-21/5
2x=45-21/5
2x=24/5
Divide both sides by two by division property.
x=24/10
x=12/5
Hence, the value of x is 12/5 from the equation 2x+[tex]4\frac{1}{5}[/tex]=9
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Nikki shovel snow at a constant rate Nikki plot points on the coordinate plane below to show how many scoops of snow they can shovel in different lengths of time which of the following ordered pairs could Nikki add to the graph
Answers
Answer:
2,30
the difference between 3,45 and 4,60 is 1,15. So if you add 1,15 and 1,15 it will be 2,30. you can't do 1,10 because the rate is 1,15 neither can you do 6,85 because 5,75 plus 1,15 is 6,90 not 6,85 so 2,30 is the final choice.
jacks meeting stared at 2:45 pm and ended at 5:25 pm how long did the meeting last
Answers
Jacks meeting lasted for 160 min or 2 hrs 40 min.
What is Time?Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.
Given is that jacks meeting stared at 2:45 pm and ended at 5:25 pm.
The time for which the meeting lasted can be written as -
{i} = 2:45 pm
{i + 60 minutes} = 3:45 pm
{i + (2 x 60) minutes} = 4:45 pm
{i + (2 x 60 + 40) minutes} = 5:25 pm
{f} = 5 : 25 pm
The meeting lasted for -
2 x 60 + 40
160 minutes
or
2 hours 40 minutes
Therefore, Jacks meeting lasted for 160 min or 2 hrs 40 min.
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Simplify: [tex]\frac{32a^2bc^3}{20abc}[/tex]
Answers
The fractions is simplified to 8ac²/ 5
What is a fraction?A fraction can be described as the part of a whole element, number or variable.
There are different types of fractions, which includes;
Improper fractionsProper fractionsMixed fractionsComplex fractionsSimple fractionsExamples of improper fractions; 5/3, 7/5
Examples of proper fractions; 3/4, 5/6
Examples of mixed fractions; 3 1/2, 4 5/6
Examples of simple fractions; 1/2 , 1/ 4
From the information given, we have that;
[tex]\frac{32a^2bc^3}{20abc}[/tex]
This is simplified to;
32 × a × a × b × c × c × c/ 20 × a × b × c
Divide the common terms
8ac²/ 5
Hence, the fractions is 8ac²/ 5
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The distance between Taylor's house and her school is 300,000 centimeters. What is this distance in kilometers?
Answers
you have to divide the length by 100000
Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..
Ty!
Answers
Answer:
12
Step-by-step explanation:
Just count the dots
HOW TO DO THIS QUESTION PLEASE
Answers
9514 1404 393
Answer:
£6/h
Step-by-step explanation:
Molly is paid £280 for 35 hours' work, so
£280/(35 h) = £8/h
In the next 5 hours, her pay jumps to £350, so she earns at a rate of ...
(£350 -280)/(5 h) = £70/(5 h) = £14/h
The difference in her pay rates is £14/h -£8/h = £6 per hour.