Answer:
The decimal would be moved back 3 spaces giving the answer 6,093
A company produces computer batteries. Everyday, the company produces exactly 500 batteries. To keep track of how many batteries are defective, a
worker tested a box of batteries. The results are in the table below.
Working Batteries Defective Batteries Total
17
20
Using these results, about how many batteries each day are defective?
O 3
O 25
O75
O425
Using the binomial distribution, it is found that about 75 batteries each day are defective.
For each battery, there are only two possible outcomes, either it is defective, or it is not. The probability of a battery being defective is independent of any other battery, hence the binomial distribution is used to solve this question.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
In this problem:
3 out of 20 batteries are defective, hence p = 3/20 = 0.15.Each day, 500 batteries are produced, hence n = 500.Then, the expected number of defective batteries in a day is given by:
E(X) = np = 500(0.15) = 75.
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Can someone answer this question
3^4 + 3 x 5 =
(the '^4' is an exponent)
Answer:
96
Step-by-step explanation:
3^4 = 3*3*3*3 = 9*9= 81
3*5=15
81 + 15 = 96
Hope this helps!!
[tex]\bold{Heya~!}[/tex]
Your answer will be is :[tex]\sf{= \: 81 \: + \: 3x^5}[/tex]
[tex]\huge \boxed {\underline{Explanation:}}[/tex]
[tex]\sf{3^4 \: + \: 3x^5}[/tex]
[tex]\sf{3^4 \: = \: 81}[/tex]
[tex]\sf{= \: 81 \: + \: 3x^5}[/tex]
Hope It Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer~:}[/tex]
Jace ~
PLEASE I NEED AN ANSWER ASAP
Answer:
3/4, 0.76, 4/5, 0.82
Step-by-step explanation:
Hope this helps <3
please answer quick!
Anitra sells cosmetics by mail and weighs each package before sending it.
The table shows the number of each item in a particular package and the total weight.
The system of equations can be used to show the relation between the items in a package and the weight of the package.
The system of equations for this problem is defined as follows:
3x + y = 21.2x + 2y = 24.From the first equation, we have that:
y = 21 - 3x.
The second equation is given as follows:
2x + 2y = 24.
Simplifying the equation, we have that:
x + y = 12.
Replacing the first equation, we have that the value of x is obtained as follows:
x + 21 - 3x = 12
2x = 9
x = 4.5.
Then the value of y is of:
4.5 + y = 12
y = 7.5.
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Answer:
In the system of equations, x represents the weight in ounces of each bar of soup.
In the system of equations, y represents the weight in ounces of each bottle of lotion.
The ordered pair that is a solution to the system of equations is given as follows: (4.5, 7.5).
Step-by-step explanation:
A line that goes through the point of intersection of the diagonals of a trapezoid divides one of the bases into two segments. The ratio of the lengths of these segments is m:n. What is the ratio of the lengths of the segments of the other base considering the segments that start with the same legs as the segments in the ratio for the first base?.
The ratio of the lengths of the segments of the other base considering the segments that start with the same legs as the segments in the ratio for the first base is n:m
What is ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 6, and b= 4, then:
[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unit-less(no units) quantity.
What is Angle-Angle similarity for two triangles?Two triangles are similar if two corresponding angles of them are of same measure. It is because when two pairs of angles are similar, then as the third angle is fixed if two angles are fixed, thus, third angle pair also gets proved to be of same measure. This makes all three angles same and thus, those two triangles are scaled copies of each other. Thus, they're called similar.
For the given case, referring to the attached figure, we can see that the lines AB and CD are parallel, the point of intersection of the diagonals is O, the line intersecting the bases is EF, the base whose segments' lengths' ratio are given is AB, and the base whose segments' lengths' ratio is to be found is CD.
We get [tex]m\angle DOF = m\angle BOM[/tex] vertical angles(angle made oppositely between two intersecting lines. They are always of same measure).
('m' of an angle means measurement of that angle. )
Also, the angles [tex]m\angle OFD = m\angle OMB[/tex] due to them being alternate interior angles(angles made by a line which intersects two parallel lines and those angles are opposite to each other on each parallel side, interior to those parallel sides. They are of same measure).
Thus, by Angle-Angle similarity, we get [tex]\triangle BOM \sim \triangle DOF[/tex]
In the similar way, we get [tex]\triangle AOM\sim \triangle COF[/tex]
Now, let for the similar triangle pair [tex]\triangle BOM \sim \triangle DOF[/tex], we have sides of BOM multiplied by 'a' to get sides of DOF.
And let for the similar triangle pair [tex]\triangle AOM\sim \triangle COF[/tex], we have sides of AOM multiplied by 'b' to get sides of COF.
Then, for the side OF and OE, we get:
[tex]OF = a \times OM\\OF = b\times OM[/tex]
That shows that [tex]a = b[/tex]
Thus, as we're given that:
[tex]\dfrac{AE}{EB} = \dfrac{m}{n}[/tex]
So, we get:
[tex]\dfrac{DF}{FC} = \dfrac{a \times BE}{a \times EA} = \dfrac{BE}{EA} = \dfrac{n}{m}\\\\\dfrac{DF}{FC} = \dfrac{n}{m}[/tex]
Thus, the ratio of the lengths of the segments of the other base considering the segments that start with the same legs as the segments in the ratio for the first base is n:m
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You and a group of friends take a trip to the Coastal Carolina Fair
for the day. You each have to pay $12 for admission, a, and $5 per
ticket book, t. You spent a total of $90. Write an equation in two
variables that represents the relationship between the cost of
admission and cost of ticket books.
Answer:
90 = a + t
Step-by-step explanation:
admission + ticket book = $90
What are the intercepts of this line?
Answer:
x-intercept= 0.5 y-intercept=1
Step-by-step explanation:
The line intercepts (0.5,0) and (0,1) which are the x and y-intercepts.
Answer:
Y intercept: 1
X intercept: 0.5
Step-by-step explanation:
Y intercept: 1
X intercept: 0.5
Look at graph and you can solve it!!
I belive in you!!
Have an amazing day!
PLEASE RATE AND MARK BRAINLIEST!
[tex]x- 5/7=2/3[/tex]
find x
Emma purchased 300 shares of stock at $4 a share and then sold the shares at $6 per share. What was the gain or loss on the sale of the stock
Emma gains profit of $600 on the sale of 300 shares of stock.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Number of shares of stock purchased by Emma = 300,
And cost price of one share = $4.
Total cost price of 300 shares at $4 per share = 300 x 4 = $1200.
Also given that,
Selling price of one share = $6
Total selling price of 300 shares at $6 per share = 300 x 6 = $1800.
The profit = selling price - cost price
= 1800 - 1200
= 600
The profit on the sale of the stock is $600.
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Blake scored 182 points in 14 games. Find the unit rate, in points per game.
5 feet
4 feet
What is the area?
10 square feet
15 square feet
20 square feet
Answer:
20 square feet
Step-by-step explanation:
because 4 feet ×5 feet =20 feet square
Susan makes holiday wreaths for 4 hours every
Saturday. It takes her 20 minutes to make a small
wreath and 30 minutes to make a large wreath. This
Saturday, Susan will make twice as many large wreaths
as small wreaths. How many of the large wreaths will
she make this Saturday?
Answer:
6 large wreaths
(and 3 small wreaths)
Step-by-step explanation:
Let x = number of small wreaths made
Let y = number of large wreaths made
Given:
Small wreath = 20 mins to makeLarge wreath = 30 mins to makeTotal time = 4 hours = 4 x 60 mins = 240 mins⇒ 20x + 30y = 240
Given:
Susan will make twice as many large wreaths as small wreaths⇒ y = 2x
Substitute y = 2x into 20x + 30y = 240 and solve for x:
⇒ 20x + 30(2x) = 240
⇒ 20x + 60x = 240
⇒ 80x = 240
⇒ x = 3
Therefore, Susan will make 3 small wreaths
Substitute found value for x into y = 2x and solve for y:
⇒ y = 2(3)
⇒ y = 6
Therefore, Susan will make 6 large wreaths
If q is directly proportional to p and q = 28 when p = 4 (Express q in teams of p.)
Answer:
q = 7p
Step-by-step explanation:
given q is directly proportional to p then the equation relating them is
q = kp ← k is the constant of proportion
To find k use the condition q = 28 when p = 4 , then
28 = 4k ( divide both sides by 4 )
7 = k
q = 7p ← equation of proportion
The two expressions below have the same value when rounded to the nearest hundredth. Log Subscript 5 Baseline b. Log Subscript 9 Baseline 48 What is the approximate value of log b to the nearest hundredth? 0. 93 1. 23 9. 16 65. 53.
The approximate value of log b to the nearest hundredth using the logarithm property is 1.23. The correct option is B.
What is a logarithm?Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The two expressions below have the same value when rounded to the nearest hundredth.
[tex]\rm Log_ 5 b \ \ and \ \ Log _ 9 48[/tex]
We know that the formula
[tex]\rm log_ab = \dfrac{log\ b}{log\ a}[/tex]
Then we have
[tex]\rm log_ 5\ b = log _ 9 48\\\\\\ \dfrac{log \ b}{log\ 5} = \dfrac{log\ 48}{log \ 9}\\\\\\log \ b = log \ 5 * \dfrac{log\ 48}{log \ 9}\\\\\\log \ b = 1.2315[/tex]
Thus, the value of log b is 1.23.
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Muriel has kept track of her income and expenses for the week in the spreadsheet below. How much was Muriel’s restaurant bill? A 3-column table with 7 rows showing transaction, amounts, and totals. Beginning balance total is 380 dollars and 29 cents. Transaction amounts are Interest income 18 dollars and 10 cents, groceries negative 61 dollars and 39 cents, restaurant bill blank, paycheck 476 dollars and 24 cents, gas negative 35 dollars. Ending balance total is 735 dollars and 69 cents. A. $17. 66 b. $42. 55 c. $6. 35 d. $112. 55 Please select the best answer from the choices provided A B C D.
If Beginning balance total is 380 dollars and 29 cents. Transaction amounts are Interest income 18 dollars and 10 cents, groceries negative 61 dollars and 39 cents paycheck 476 dollars and 24 cents, gas negative 35 dollars. Ending balance total is 735 dollars and 69 cents then Restaurant bill is 42.55
What is ending balance ?Ending balance is remaining balance in the end after all the deduction .
Given that
Beginning balance total is 380 dollars and 29 cents.
Transaction amounts are Interest income 18 dollars and 10 cents,
Groceries negative 61 dollars and 39 cents
Paycheck 476 dollars and 24 cents
Gas negative 35 dollars.
Ending balance total is 735 dollars and 69 cents
Ending balance = Beginning balance + Income - Expenses
Ending balance = Beginning balance + Interest income + Paycheck - Groceries - Restaurant bill - Gas
735.69=380.29+18.10-61.39+476.24-35-Restaurant bill
Restaurant bill =42.55
If Beginning balance total is 380 dollars and 29 cents. Transaction amounts are Interest income 18 dollars and 10 cents, groceries negative 61 dollars and 39 cents paycheck 476 dollars and 24 cents, gas negative 35 dollars. Ending balance total is 735 dollars and 69 cents then Restaurant bill is 42.55
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how many years does 1 inch represent on this timeline? a. 500 b. 750 c. 1000 d. 1500
Answer:
A. 500 years
Step-by-step explanation:
Try to use a ruler to mesure the scale on the timeline
Which causes an increase in greenhouse gases?
1 change in wind patterns
2 strengthening of hurricanes
3 burning of wood and coal
4 movement of warm ocean waters ANSWER FAST PLEASE ON A TIMER VERY IMPORTANT TEST PLEASE PLEASE
Answer:
3. burning of wood and coal
Answer:
c burning of wood and coal
Step-by-step explanation:
Mustang Middle School is getting a new frozen yogurt machine. To decide which flavor to serve, the cafeteria manager surveyed students at random.
which is best supported by the data collected in the survey
A. The number of students who prefer chocolate is half the number of students who prefer vanilla .
B. Vanilla is the least popular flavor .
C. The number of students who prefer chocolate is about the same as the combined number of those who prefer vanilla and those who prefer strawberry .
D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.
Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:
D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.
What is an inferential statistic?An inferential statistic is one that makes inference or predictions about a population based on a sample.
From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:
D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.
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hi
me again
just struggling a bit
what's the reciprocal of 3.5?
would really appreciate your answers
If (-5+z) is positive, but (-6+z) is negative, what is one number that y could be?
Answer:
well there is no integer number so the answer could be 5.5
Answer:
If looking for y, then y could equal 5.5 or 5 1/2
Step-by-step explanation:
(-5)+(5.5)=0.5
(-6)+(5.5)=-0.5
ILL GIVE 50 POINTS FOR GOOD ANSWER. 92 8/9 - 43 5/6 Enter your answer in the box as a mixed number in simplest form.
Pls, help me If you do your best!
Answer:
49 1/8
Step-by-step explanation:
92 8/9 - 43 5/6
Subtract the whole numbers
92 - 43 = 49
Find the LCD of 8/9 and 5/6 and rewrite to solve with the equivalent fractions.
16/18 − 15/18= 1/18
Combining the whole and fraction parts.
49 + 1/18 = 49 1/18
Answer:
49 1/18
Step-by-step explanation:
First, we can start off by rewriting our equation with parts separated.
92 - 43 + 8/9 - 5/6
Solve the whole numbers
92 - 43 = 49
Solve the fractions using LCD
8/9 - 5/6 = 1/18
Combine the whole and fractions
49 1/18
Is this cool to be any longer in the park lol lol I am just wondering if you want to park in the park park in park park.
Answer:
Park
Step-by-step explanation:
I need help with 6.
Answer:
a squared + (b+c)2
Step-by-step explanation:
Solve for x. Round your answer to the nearest tenth.
12
14
QUICK whoever gives correct answer will get brainliest please and thank you.
Answer:
B
Step-by-step explanation:
This is a distance versus time graph. The slope on a given interval gives you speed.
So if the slope is going upwards, the speed is increasing which means it isnt constant
If going downwards, the speed decreasing, which means it isn't constant
If forming a horinzontal line, it has slope of 0, which means that it has a constant speed
The only time speed is constant is at 4.
B is the answer
Solving Systems of linear equations by graphing. no graphing device.
Infinitely many solutions.
Explination
The lines are the exact same
How far can she travel in 4 hours 53 minutes?
Step-by-step explanation:
1 hour she travels = 19 km
60 min = 1 hr
53 min = 1/60 * 53 hr = 53/60 hr
Now,
1 hr = 19 km
4 + 53/60 hrs = 19 * ( 4 + 53/60) km
She travels 92.78 km in 4 hrs and 53 minutes.
how do i find the answer to this
Write the ratio of 15 pencils to 2 erasers in simplest form.
