Answer:
(1) the number of liters the tank holds
Step-by-step explanation:
Type your answers into the boxes.
Without using a calculator, work out the following:
√121 = 11 √900 = ∛125 = ∛729 =
Answer:
Step-by-step explanation:
√121 = 11
√900 = √30^2 = 30
∛125 = ∛5^3 = 5
∛729 = ∛9^3 = 9
Help me pls
I put the picture in the attach file below
(Sorry i'm in secondary school but i have a problem with my settings)
Step-by-step explanation:
0 is the ans my guy
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if you subtract 1/2 from a number and multiply the result by 1/2 you get 1/8. What is the no.
Step-by-step explanation:
1/6
1/6- 1/2 = 1/4
1/4*1/2= 1/8
Find the length of CE
Answer:
C. 37.8 units
Step-by-step explanation:
ED = 17/ cos(38°) = 17 / 0.7880 = 21.6 units
DF = 17× tan (38°) = 17× 0.7813 = 13.3 units
CD = 10/13.3 × 21.6 = 16.2 units
so, the length of CE = 21.6+16.2 = 37.8 units
A margin of error tells us how often the confidence interval estimates the parameter incorrectly. how often a confidence interval is correct. how accurate the statistic is when using it to estimate the parameter.
Answer:
how accurate the statistic is when using it to estimate the parameter.
Step-by-step explanation:
The margin of error may be referred to as a range or interval around a calculated statistic. The margin of error usually employed when calculating the confidence interval, will give a certain range of value within the sample statistic. This is sample statistic and margin is used to estimate the parameter albeit a certain percentage or proportion within the sample statistic. This provides the accuracy level at which the statistic will estimate the parameter.
Margin of Error :
Margin of Error = Zcritical * σ/√n ; OR
Margin of Error = Tcritical * s/√n
Where ;
σ = population standard deviation
s = sample standard deviation
Simplify (6 + 4i) + (3 - 3i)
Answer:
9 + i
Step-by-step explanation:
You just simplify by combining the real and imaginary parts of each expression.
Hope this helps you!!
the diagram shows a regular dodecagon. a) work out the size of one interior angle. b) work out the size of one exterior angle.
Answer: Interior angle: 150 degrees Exterior angle: 30 degrees
Step-by-step explanation:
We use the angle formula to find the value of an interior angle: 180*(12-2)/12 = 150 degrees. Since an exterior angle is the supplement of an interior angle, the measure of an exterior angle is 180 - 150 = 30 degrees
suppose you borrow $1000 for 3 years and you owe $200 interest. what is the interest rate?
Answer:
6.67%
Step-by-step explanation:
By question I borrow $1000 for 3 years and I owe $200 interest . We can use the formula of Simple Interest as ,
[tex]\implies SI =\dfrac{ P*R*T}{100}[/tex]
Plug in the values .[tex]\implies \$200 =\dfrac{3*\$1000*R }{100}\\\\\implies R = \dfrac{ \$ 200 * 100}{3*\$ 1000} \\\\\implies\underline{\underline{ R = 6.67 \%}} [/tex]
Someone please help me !!
Answer:
6(x-1)(x+1)(6x-1)/6(x-1)
6(x+1)(6x-1)/6
(x+1)(6x-1)
Is this equation an identity? 6 + 5m = 4m
Answer:
Step-by-step explanation:
I don't think so. This equation has but one definite answer and the left and right sides don't produce the same result.
subtract 5m from both sides
6 = 4m - 5m
6 = - m Multiply both sides by - 1
-6 = m
An identity is something like 4x + 5x = 9x
It doesn't matter what x is. Any value of x will make the right side = to the left side. This becomes more important when you will study trigonometry.
What is the segment
Parallel lines
What is the correct equation for the graph?
tan graph and its tax because tax=0
Fifteen dozen eggs were needed for baking four wedding cakes. The first cake
needed one dozen eggs, and each successive cake needed twice as many eggs as the
previous cake. How many eggs were used to make the fourth cake?
Answer:
96 eggs
Step-by-step explanation:
A dozen is equal to 12 eggs, so 15 dozen is equal to 180 eggs
(Because 15*12 = 180)
We already know how many eggs are required for the 1st cake: 12 eggs.
Then it says "each successive cake needs twice as many eggs as the previos cake".
(Successive means the cake directly after the previous cake)
Here's how we find the number of eggs needed for the 2nd cake:
The 1st cake needed 12 eggs, and because the 2nd cake is directly after the 1st cake, we are going to need two times the amount of 12 eggs.
This equation represents the above scenario:
12*2 = 24
So we need 24 eggs for the 2nd cake.
Now we repeat this process for the 3rd cake, finding twice the amount of eggs from the 2nd cake to find the amount of eggs needed for the 3rd cake:
24*2 = 48
And we repeat it once more for the 4th cake, using the eggs from the 3rd cake:
48*2 = 96
So here's the list of how many eggs are required for each of the cakes:
1st cake: 12
2nd cake: 24
3rd cake: 48
4th cake: 96
If you add all the eggs from each of the cakes, you will get 180, which is the number of eggs needed for all four cakes. So our answer is correct.
Hope this helps (●'◡'●)
help i’ll give brainliest
Answer:
c c c c c c c c c c c c c c c c c c c c
Please help me.I tryed to solve
Answer:
[tex]x \ge 1[/tex]
Step-by-step explanation:
Given
The number line
Required
Interpret
On the number, we have the following observations;
(1) The thick line starts from 1
(2) The line points to the right; this means greater than or/equals to
(3) The dot on 1 is a closed circle; this means greater than or equal to
So, the inequality is:
x greater than or equal to 1
i.e.
[tex]x \ge 1[/tex]
I need help with this, please.
Answer:
it can not cleared clear but it can not cleared
2x+2y=38 y=x+3 solve by the solution
Answer:
x = 8 , y = 11
Step-by-step explanation:
[tex]2x + 2y = 38 => x + y = 19 - -- ( 1 ) \\\\y = x + 3 ---- ( 2 ) \\\\Substitute \ ( 2 ) \ in \ ( 1) :\\\\ x + y = 19\\\\x + ( x+ 3) = 19\\\\2x + 3 = 19\\\\2x = 19 - 3 \\\\2x = 16 \\\\x = \frac{16}{2} = 8\\\\Substitute \ x = 8 \ in \ ( 1 ) : \\\\x + y = 19\\\\8 + y = 19\\\\y = 19 - 8 = 11[/tex]
Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.5 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. Round your answers to four decimal places. Do not round intermediate calculations.
Answer:
the operating characteristics have been solved below
Step-by-step explanation:
we have an average of 10 minutes per customers
μ = mean service rate = 60/10 = 6 customers in one hr
the average number of customers that are waiting in line
mean arrival λ = 2.5
μ = 6
[tex]Lq = \frac{2.5^{2} }{6(6-2.5)} \\[/tex]
= 6.25/21
= 0.2976
we calculate the average number of customers that are in the system
[tex]L=Lq+\frac{2.5}{6}[/tex]
= 0.2976+0.4167
= 0.7143
we find the average time that a customer spends in waiting
[tex]Wq=\frac{0.2976}{2.5}[/tex]
= 0.1190 hours
when converted to minutes = 0.1190*60 = 7.1424 minutes
[tex]0.1190+\frac{1}{6}[/tex]
=0.2857
probability that arriving customers would wait for the service
= 2.5÷6 = 0.4167
If a line is equation 5 x + 6 Y is equal to 2 k together with the coronavirus access from a triangle of area 135 square unit.find the value of k.
Answer:
hdhdkdbddkdgsjshzcssjsn
A cookie recipe that yields 24 cookies requires 1 3/4 cups of butter. When the ingredients in this recipe are increased proportionally, how many cups of butter are required for the recipe to yield 72 cookies?
Answer:
5 1/4
Step-by-step explanation:
* is multiplication
1 3/4 is 1.75
so
24/1.75 = 72/×
1.75 * 72 = 24 * x
126 = 24x
24x = 126
x = 5.25 or 5 1/4
Total [tex]5\frac{1}{4}[/tex] cups of butter required to make 72 cookies.
What is unitary method?The unitary method is a process of finding the value of a single unit, and based on this value; we can find the value of the required number of .
According to the given question.
Number of cups or butter required for making 24 cookies = [tex]1\frac{3}{4} =\frac{7}{4}[/tex]
⇒ Number of cups of butter required to make 1 cookie = [tex]\frac{\frac{7}{4} }{24} =\frac{7}{(24)(4)}[/tex]
Therefore,
The number of cups of butter required to make 72 cookies
= [tex]72[/tex] × [tex]\frac{7}{(24)(4)}[/tex]
= [tex]\frac{21}{4}[/tex]
= [tex]5\frac{1}{4}[/tex]
Hence, total [tex]5\frac{1}{4}[/tex] cups of butter required to make 72 cookies.
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Using each of the digits 2 through 5 only
once, write 2 two-digit whole numbers
whose product is as large as possible.
Answer:
52, 43
Step-by-step explanation:
the first instinct might be to make the first number as big as possible : 54
that leaves for the second number 2 and 3, and the largest combination here is 32 (larger than 23).
54×32 = 1728
but, the area of a rectangle (and that is what we are calculating here) is the larger, the closer the lengths of its side are.
so, a bigger difference between length and width creates a smaller area, than a smaller difference between length and width for similar lengths.
so, what if we sacrifice just a little bit of the length, and make it 53 ? that opens up 4 for the second number, giving us 42 as width. they are much closer to each other with still very similar length.
53×42 = 2226
you see ? much bigger.
let's experiment further and pick 52 as length.
that gives us 43 as width.
52×43 = 2236
and again a little bit closer and with bigger result.
you see, in the previous case we "added" comparably to this last case a 42 (53×42 instead of 52×42), and in the last case we added a 52 (52×43 instead of 52×42) creating the difference of 10.
but of course, this only works, if we don't decrease the length too much.
Answer:
Using each of the digits 2 through 5 only once, write 2 two-digit whole numbers whose product is as large as possible.
find the value of the following 8711×99+8711
Answer:
the value of the following 8711×99+8711 is
Step-by-step explanation:
871100
Answer:
871100
Step-by-step explanation:
use BODMAS
first multiply 8711×99
=862389
Then add 862389+8711
=871100
The mean temperature for the first 4 days in January was 1°C.
The mean temperature for the first 5 days in January was -1°C.
What was the temperature on the 5th day?
Answer:
The temperature on the 5th day was of -9ºC.
Step-by-step explanation:
Mean of a data-set
The mean of a data-set is the sum of all values in the data-set divided by the number of values.
The mean temperature for the first 4 days in January was 1°C.
This means that during the first 4 days, the sum of the temperatures was 4*1 = 4ºC.
The mean temperature for the first 5 days in January was -1°C.
First 4 days: Sum of 4º
5th day: Temperature of x.
The mean is -1, so:
[tex]-1 = \frac{4 + x}{5}[/tex]
[tex]x + 4 = -5[/tex]
[tex]x = -9[/tex]
The temperature on the 5th day was of -9ºC.
If one card is drawn from a deck, find the probability of getting these results.
Enter your answers as fractions or as decimals rounded to 3 decimal places.
Answer:
Face card= 12/52
(52 cards in a deck and 12 are face cards)
Red face card= 6/12
(12 face cards in a deck cards in a deck and 6 are red face cards)
Black face card= 6/52
(6 are black)
Black card= 26/52
(52 cards in a deck and 26 are black)
Red card= 26/52
(26 are red)
The solution set of the inequality 1 + 2y
Answer:
is it four I am not quite sure
Using the following image, solve for x
Answer:
x= -3
Step-by-step explanation:
2x+14= 8
2x= -6
x = -3
Answer:
-3
Step-by-step explanation:
According to the question,
[tex]\longrightarrow[/tex] CE = CD + DE
[tex]\longrightarrow[/tex] 8 = (x + 10) + (x + 4)
[tex]\longrightarrow[/tex] 8 = x + 10 + x + 4
[tex]\longrightarrow[/tex] 8 = 2x + 14
[tex]\longrightarrow[/tex] 8 ― 14 = 2x
[tex]\longrightarrow[/tex] ―6 = 2x
[tex]\longrightarrow[/tex] ―6 ÷ 2 = x
[tex]\longrightarrow[/tex] –3 = x
Therefore, the value of x is ― 3.
A grocery store buys cereal using the cost function
c(n) = {
2n when n < 100
1.9n when 100
Sn = 500
1.8n when n > 500
where n is
the number of boxes of cereal the grocery store
buys and c(n) is the cost of the cereal. The grocery
store then sells the cereal using the sales function
s(c) = 1.3c. What is the cost of the cereal if the
grocery store buys 250 boxes?
The cost of the cereal if the grocery store buys 250 boxes is $475
Cost functionsFunctions are written in terms of variables. If the cost function that represents the cereal is given as C(n), the equivalent expression if the grocery store buys 250 boxes is 1.9n
Substitute n = 250 into the function to have:
C(250) = 1.9(250)
C(250) = $475
Hence the cost of the cereal if the grocery store buys 250 boxes is $475
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The graph below represents the following system of inequalities.
Answer:
(2,3)
Step-by-step explanation:
Which ordered pair makes both inequalities true?
y < 3x – 1
y > –x + 4
Answer:
SECOND ONE
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Answer:
Slope: 2/3
Y-intercept: 6