Answer:
If you get the maximum grade in the last test, your average grade will still be below 0.9 = 90%, which means that it is not possible to average a 90%.
Step-by-step explanation:
Average grade:
The average grade is given by the sum of all averages, divided by the number of tests.
In this question:
99%, 67%, 83%, and 86%.
Next test counts twice, which means that in total, there are 6 tests.
Is it possible to average a 90%?
The maximum grade in a test is 100% = 1. I will calculate the average grade you get a 100% on the last test, which is worth 2. So
[tex]M = \frac{0.99+0.67+0.83+0.86+2*1}{6} = \frac{5.35}{6} = 0.892[/tex]
If you get the maximum grade in the last test, your average grade will still be below 0.9 = 90%, which means that it is not possible to average a 90%.
Exercise 11.1.2: Find the next permutation in lexicographic order. About For each permutation of {1, 2, 3, 4, 5, 6, 7}, give the next largest permutation or indicate that the permutation is the last one in lexicographic order. (a) (1, 2, 3, 4, 5, 6, 7) (b) (7, 6, 5, 4, 3, 2, 1) (c) (1, 7, 6, 4, 2, 3, 5) (d) (3, 7, 6, 5, 4, 2, 1) (e) (5, 4, 7, 6, 3, 2, 1)
Solution :
A permutation in the field of mathematics may be defined as the arrangement of its members into a linear order or a sequence. However, if a set is already being ordered, then it is the rearrangement of the elements of the set.
In the context, the next largest permutation set is :
a). (1,2,3,4,5,6,7)
b). The given permutation is the last one in the lexicographic order.
c). (1,7,6,4,2,5,3)
d). (4,1,2,3,5,6,7)
e). (5,6,7,4,3,2,1)
The next permutation in lexicographic order will be (5,6,7,4,3,2,1).
What is a permutation?
It should be noted that a permutation in the field of mathematics where there are several possible ways in which numbers or things can be ordered or arranged.
When applied to numbers, the lexicographic order is increasing numerical order. This is an increasing numerical order from left to right). For example, the permutations of {1,2,3} in lexicographic order are 123, 132, 213, 231, 312, and 321
In the context, the next largest permutation set is (5,6,7,4,3,2,1).
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Which net represents this solid figure?
Rectangular prism 5.
Net of a rectangular prism 10.
Net of a cube 4.
Net of a rectangular prism 9.
Net of a triangular prism 10.
Answer:
Net of rectangular prism 9
Step-by-step explanation:
I took the test
What is the decimal equivalent of 8%
locus
which figure is described below ? midpoints of radii of a circle
The figure that is described is a circle.
The locus of the midpoints of the radii of a circle is called a circle.
What is a circle?A circle is the locus of a point such that its distance from a fixed point known as the center is always constant.
A chord is a line that touched two points on the circumference of a circle.
The locus of the midpoints of the radii of a circle is called a circle.
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Situation: Find the substance's half-life, in days. Round your answer to the nearest tenth. A 50 gram sample of a substance that's used to treat thyroid disorders has a k- value of 0.1133. Enter the correct answer. N = Noe -kt DONE No = initial mass (at time t = 0) 1? N = mass at time t k = a positive constant that depends on the substance itself and on the units used to measure time t = time, in days
Find the substance's half-life , in days.
Round your answer to the nearest tenth.
Answer:
The substance's half-life is 6.1 days.
Step-by-step explanation:
The half-life of the substance can be calculated by knowing the constant decay:
[tex] t_{1/2} = \frac{ln(2)}{k} [/tex]
k: is the decay constant = 0.1133 d⁻¹
Hence, the half-life is:
[tex] t_{1/2} = \frac{ln(2)}{k} = \frac{ln(2)}{0.1133 d^{-1}} = 6.1 d [/tex]
Therefore, the substance's half-life is 6.1 days.
I hope it helps you!
Mrs. Blue is asked to select 2 students to represent her class for the student council. The teacher decides to put everyone's name in a jar and draw.
A. What is the population?
B. What is the sample?
Step-by-step explanation:
the answer is A and B hope that helps you
**Will give brainiest
Answer:
707
bc
tan(3)=a/4960
Answer:
[tex]\boxed {\boxed {\sf 260 \ feet}}[/tex]
Step-by-step explanation:
We are asked to find the driver's altitude increase. The increase in altitude is also the height of the triangle, which is labeled a.
Since this is a right triangle (signified by the small square representing a 90 degree angle), we can use trigonometry. The three trigonometric ratios are:
sinθ=opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ=opposite/adjacentThe angle (θ) given is 3 degrees. Side a is opposite this angle and the side measuring 4,960 feet is the hypotenuse because it is opposite the right angle. Therefore, we use sine.
[tex]sin \theta= \frac {opposite}{hypotenuse}[/tex]
[tex]sin 3= \frac {a}{4960}[/tex]
We are solving for a, so we must isolate the variable. It is being divided by 4960 and the inverse of division is multiplication. Multiply both sides by 4960.
[tex]4960*sin 3= \frac {a}{4960}*4960[/tex]
[tex]4960*0.05233595624= a[/tex]
[tex]259.586343=a[/tex]
Round to the nearest whole number. The 5 in the tenth place tells us to round the 9 to a 0 in the ones place, then the 5 to a 6 in the tens place.
[tex]260 \approx a[/tex]
The driver's increase in altitude is approximately 260 feet.
Is the unknown side a leg of the triangle or the hypotenuse?
Answer:
I think it a triangle
Divide. Round your answer to the nearest hundredth.
Answer:
775.64
Step-by-step explanation:
7.
(6. Linda earns $2538 per month. Billie earns
$32,700 per year. Who earns more, Linda or
Billie?
Answer
& Kart's salary is $30,500 per year. If he gets a
9.
Answer: Billie earns more.
Step-by-step explanation:
Since Linda earns $2538 per month. We have to calculate her yearly earnings and this will be:
= $2538 × 12
= $30456
Billie earns $32,700 per year. From the calculation above, we can see that Billie earns more than Linda.
Solve each system by elimination 9x - 6y = -21 and -9x + 9y = 18
Answer:
X= -3, Y= -1
Step-by-step explanation:
= {x, y}
= {-1.-3}
X = -1
Y = -3
ExplainLook at the picture :)
#LearnWithBrainly
gak bisa bahasa inggrisplease help I'll give brainliest
Answer:
47
Step-by-step explanation:
x-2+3x-6= 180 ( as they are complementary angles)
4x-8= 180
4x= 188
x= 47
45 minutes and 45 minutes is 90 Minutes so that is 1 hour and 30 minutes. So the answer is your welcome I’m so high
Answer:
Yeah that's correct.
Step-by-step explanation:
You're welcome I'm so high
12xy {}^{2} +xy {}^{2}z +3xy
[tex] {?}^{2} [/tex]
Answer:
xy(12y + yz + 3)
Step-by-step explanation:
GCF = xy
Take (xy) from each term
12xy² + xy²z + 3xy = xy(12y + yz + 3)
What’s the answer for 18 and 19?
Answer:
18. 3,0 19. 0,5
Step-by-step explanation:
Find the siope of the line passing through the points (-2, 2) and (-6,5).
Answer:
slope= -3/4
Step-by-step explanation:
i hope this helps :)
Harry had 3 packages of gum. Altogether there were
24 pieces of gum. If all packages have the same
number of sticks of gum, how many sticks of gum are
on each package?
Given,
Number of pieces = 24
Number of packages = 3
Each package has the same number of pieces.
So,
Number of pieces in 1 package
= Number of pieces / Number of packages
= 24 / 3
= 8
A radioactive substance has a continuous decay rate of 0.056 per minute. How many grams of a 120 gram sample will remain radioactive after 40 minutes? Round the answer to the nearest tenth of a gram, and do not include the unit in your answer.
Answer:
The mass of the radioactive sample after 40 minutes is 12.8 g.
Step-by-step explanation:
The mass of the sample can be found by using the exponential decay equation:
[tex] N_{t} = N_{0}e^{-\lambda t} [/tex]
Where:
N(t): is the amount of the sample at time t =?
N₀: is the initial quantity of the sample = 120 g
t = 40 min
λ: is the decay constant = 0.056 min⁻¹
Hence, the mass of the sample after 40 min is:
[tex] N_{t} = N_{0}e^{-\lambda t} = 120g*e^{-0.056min^{-1}*40 min} = 12.8 g [/tex]
Therefore, the mass of the radioactive sample after 40 minutes is 12.8 g.
I hope it helps you!
A large supermarket chain was interested in seeing if they could increase their holiday sales by starting their Black Friday sales 2 hours earlier than normal. To test this, they randomly selected half of their 500 stores and told them to start their sales at the new starting time, while the other half of the stores would start at the standard starting time. Which of these answers represents an element of replication in this study?
a. they randomly selected half
b. their 500 stores
c. while the other half of the stores would start at the standard starting time
d. 250 stores
Answer:
wow hold on BTW I LIKE YOUR CUG
The element of replication in the study is option b, their 500 stores.
What is Replication in Statistics?Replication in statistics id defined as that repeating an experiment so that the variability if any existing in the event can be noticed.
Replicate is termed as each of the repetition.
Given that,
A large supermarket chain was interested in seeing if they could increase their holiday sales by starting their Black Friday sales 2 hours earlier than normal.
To test this, they randomly selected half of their 500 stores and told them to start their sales at the new starting time, while the other half of the stores would start at the standard starting time.
So here the replication is the repetition of the same experiment by 500 stores.
So the element of replication is 500 stores.
Hence 500 stores is the element of replication.
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Question 20
Ahmad works mowing lawns and babysitting. He eams $7.40 an hour for mowing and S6.80 an hour for babysitting. How much will he earn for 7 hours of
mowing and 1 hour of babysitting?
Susan needs to simplify the expression shown below.
75 − ( 8 + 45 ÷ 3 ) x 2
What is the correct solution for Susan’s expression?
Answer:
The answer to 75 - ( 8 + 45 ÷ 3 ) × 2= 29
4n -6 = 10n
Simplify.
-----------------------------------------------------------------------------------------------------------------
Answer: n = -1
-----------------------------------------------------------------------------------------------------------------
add 6 to both sides of the equation.
4n − 6 = 10n
4n − 6 + 6 = 10n + 6
-----------------------------------------------------------------------------------------------------------------
simplify.
(add the numbers)
4n − 6 + 6 = 10n + 6
4n = 10n + 6
4n = 10n + 6
-----------------------------------------------------------------------------------------------------------------
subtract 10n from both sides.
4n − 10n = 10n + 6 − 10n
-----------------------------------------------------------------------------------------------------------------
simplify. (again)
(combine like terms) (combine like terms)
4n − 10n = 10n + 6 − 10n −6n = 10n + 6 − 10n
−6n = 6
-----------------------------------------------------------------------------------------------------------------
divide both sides by the same term.
−6n/−6 = 6/-6
n = 6/−6n = 6/−6
-----------------------------------------------------------------------------------------------------------------
simplify. (again)
(cancel terms that are in both the numerator and denominator)
n = 6/−6
(divide the numbers)
n = 6/−6
n = 1
-----------------------------------------------------------------------------------------------------------------
Answer:
n= -1
Step-by-step explanation:
Use >,<, or = to compare -2.7
-2.2.
Answer:
- 2.7 < - 2.2
Step-by-step explanation:
0.5; MATH PROBLEM HERE!!,,,,,,,,,
At a recent meeting at the American College of Asthma, Allergy, and Immunology, researchers reported that allergy vaccinations are effective in treating sinusitis (inflammation of the membrane lining the facial sinuses) in individuals predisposed to allergies. Specifically, the researchers reported that 98% of individuals predisposed to allergies find relief from their sinusitis after allergy vaccinations. Suppose that this number is accurate and that 150 individuals predisposed to allergies are chosen at random and given allergy vaccinations.
A. Estimate the number of individuals in the random sample who do not find relief from their sinusitis by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable).
B. Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.
Solution :
Here we can use the Binomial distribution, as there are only two possible outcomes.
The given data:
n = 150
q = 98%
= 0.98
p = probability of not finding relief = 1 - 0.98
= 0.02
A). The number of the individuals who do not find any relief from sinusitis is :
E(x) = np
= 150 x 0.02
= 3
B). The uncertainty of my estimate is = [tex]$\sqrt{npq}$[/tex]
[tex]$=\sqrt{150 \times 0.02 \times 0.98}$[/tex]
= 1.716
Need help with linear function
Answer:
y = 1/2x + 2
Step-by-step explanation:
If 12 inches is equal to 1 foot, then 3 inches is equal to
Answer:
1/4 a foot
Step-by-step explanation:
Answer: 1/4th of a foot
Suppose you are thinking about buying one of two cars. Car A will cost $17,655. You can expect to pay an average of $1230 per year for fuel, maintenance and repairs. Car B will cost about $15,900. Fuel maintenance and repairs for it will average about $1425 per year. After how many years are the total costs for the cars the same?
A. 5 years.
B. 7 years.
C. 9 years.
D. 11 years.
To the tenth place, what is the greatest number that rounds to 3
Answer:
2.99 i think
Step-by-step explanation:
Answer:
show your face
Step-by-step explanation:
y varies directly as x. When x = 9, y = 27
Find y when x = 27
Answer:
y/x, 27/9 = 3, 3 = y/27, y = 81.
Step-by-step explanation:
