The probability that exactly four of the students were been born on a weekday (i.e. Monday through Friday) is 0.2125.
What is the probability of determining that exactly four students were born on a weekday?To determine the probability, we need to first find the probability of having a student being born on a weekday.
[tex]=\mathbf{\dfrac{5}{7}}[/tex]
The probability of having 4 students born on a weekday is:
[tex]=\mathbf{(\dfrac{5}{7})^4}[/tex]
Since we have 4 students, we also need to find the probability of the students that are not being born, which is:
[tex]=\mathbf{(\dfrac{2}{7})^3}[/tex]
Also, there are [tex](^7_4)[/tex] = 35 ways to get four students out of seven students.
Therefore, we have the probability as:
[tex]\mathbf{P = 35 \times (\dfrac{5}{7})^4 \times (\dfrac{2}{7})^3}[/tex]
P = 0.2125
Therefore, we can conclude that the probability that exactly four of the students were born on a weekday is 0.2125.
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Drag the numbers into the boxes to write the number in standard form. Numbers may be used once, more than once, or not at all.
4
×
10
)
+
(
3
×
1
100
)
+
(
5
×
1
1000
)
01345
.
The written form of the expression of (4 × 10 ) + ( 3 × 1/100)+(5×1/1000) is given as 4.035.
What is standard form?A standard form of a number is known to be the used in writing the number in a way that follows a specific rules.
Therefore, The written form of the expression of (4 × 10 ) + ( 3 × 1/100)+(5×1/1000) is given as 4.035.
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The Allied Taxi Company charges $2. 50 to pick up a passenger and then adds $1. 95 per mile. Isaac was charged $27. 46 to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth? 1. 95x 2. 50 = 27. 46; Isaac traveled 15. 4 miles. 1. 95x 2. 50 = 27. 46; Isaac traveled 12. 8 miles. 2. 50x 1. 95 = 27. 46; Isaac traveled 11. 8 miles. 2. 50x 1. 95 = 27. 46; Isaac traveled 10. 2 miles.
Answer:
see the attachment.
i hope this can help you
In ΔJKL, j = 10 in., k = 7 in., and l = 6.58 in. Find m∠J.
A. 38º
B. 95º
C. 44º
D. 25º
Answer:
B. 95°
Step-by-step explanation:
Given the three sides of a triangle, the Law of Cosines can be used to find any of the angles.
__
j² = k² +l² -2kl·cos(J) . . . . . law of cosines applied to this triangle
J = arccos((k² +l² -k²)/(2kl)) . . . . . solve for angle J
J = arccos((7² +6.58² -10²)/(2·7·6.58)) = arccos(-7.7036/92.12)
J ≈ 94.797° ≈ 95°
The measure of angle J is about 95°.
_____
Additional comment
Angle J is opposite side j, which is the longest side. That means angle J is the largest angle in the triangle. The largest angle of the triangle can never be less than 60°. Only one answer choice qualifies. (No computation is necessary.)
A store buys 11 sweaters for $55 and sells them for $286. How much profit does the store make per sweater?
Answer:
The store makes $21 per sweater.
This is the same as the constant of proportionality between the profit made and the number of sweaters sold.
Step-by-step explanation:
$286−$55
Total Profit=$231
Profit Per Sweater=11/$231
Profit Per Sweater=$21
If store buys 11 sweaters for $55 and sells them for $286 then the store makes a profit of $21 per sweater.
To calculate the profit per sweater, you need to subtract the cost per sweater from the selling price per sweater.
Cost per sweater = Total cost / Number of sweaters
= $55 / 11
= $5
Selling price per sweater = Total selling price / Number of sweaters
= $286 / 11
= $26
Profit per sweater = Selling price per sweater - Cost per sweater
= $26 - $5
= $21
So, the store makes a profit of $21 per sweater.
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Solve for the variable and give an exact answer.
Answer:
4√ 2
Step-by-step explanation:
2x^2=64 and x^2 = 32 so x= 4√ 2
What are the odds of rolling a sum of 6 using two number cubes? (Hint.. there are 36 possible outcomes)
Answer:
5/36
Step-by-step explanation:
there are only 5 times you can get a sum of 6,
1+5,2+4,3+3,4+2,5+1( note: the first value is from the first die and the second is from the second die)
Which equation describes the line with a slope of -3 that contains the point (2,4)?
Answer: y = 2x - 11
Step-by-step explanation:
A linear equation has the following form.
y = a . x + b
where,
y: independent variable
a: slope
x: independent variable
b: y-intercept
The slope is 2, so a is 2. The ordered pair (4, -3) means that when x takes the value 4, y takes the value -3. We can replace these values in the general equation to find the y-intercept.
y = a . x + b
-3 = 2 . 4 + b
b = -11
The linear equation is
y = 2x - 11
Answer:
C. is the correct option
Step-by-step explanation:
When we find the equation using the point and slope formula, we get y=-3x+10
As you can see, that doesn't match any of the answers, since it is in the point-slope formula.
We can start solving all the equations to rule out the correct one, but to save yourself from reading all of this, I'll just do there C.
For this equation, we will distribute the 3, and then add 4 to both sides.
y-4=-3(x-2) ---> y-4=-3x+6 ---> y-4(+4)=-3x+6(+4) ---> y=-3x+10
This leads back to the original equation so we know it is correct.
In ΔHIJ, i = 99 inches, j = 99 inches and ∠H=9°. Find the length of h, to the nearest inch.
Answer:
99
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
An isosceles triangle has an angle that measures 58°. What measures are possible for the other two angles? Choose all that apply.
Answer:
it's probably 58 and 64 just a random guess but I think all triangles add up to 180
If u have 0,-1,1.7, 1/2 do it from least to greatest
Answer:
-1,0,1/2,1.7
Step-by-step explanation:
Answer:
-1, 0, 1/2, 1.7
Step-by-step explanation:
hope this helps
have a good day
radius of a cylinder is 4 cm and height given is 6 cm. Find the volume in terms of pi
height= 6 cm
radius= 4 cm
to find:the volume of the given cylinder.
solution:[tex]v = \pi {r}^{2} h[/tex]
[tex]in \: terms \: of\pi = {r}^{2} h[/tex]
[tex]v = {4}^{2} \times 6[/tex]
[tex]v = 96\pi \: {cm}^{3} [/tex]
Find the lateral area for the prism.
36 in 2
54 in 2
27 in 2
81 in 2
Answer 27 in^2:
Step-by-step explanation:
use your formula to convert 20 minutes to seconds please help me
Step-by-step explanation:
Converting 20 minutes into second....
20 × 1 minute
20 × 60 seconds
1200 seconds...
How mony boxes does Sharice need?
sharice needs ? boxes
she will need 18 boxes total :)
Please help me its a math problem thank you i give brainlist
Answer:
1.875
Step-by-step explanation:
the average rate of change of g(x) in the closed interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
here [a, b ] = [- 1, 3 ] , then
g(b) = g(3) = 2³ + 1 = 8 + 1 = 9
g(a) = g(- 1) = [tex]2^{-1}[/tex] + 1 = [tex]\frac{1}{2}[/tex] + 1 = 1.5
then
average rate of change = [tex]\frac{9-1.5}{3-(-1)}[/tex] = [tex]\frac{7.5}{4}[/tex] = 1.875
Select the correct answer from the drop-down menu. a survey conducted in a certain town found that 1 out of every 5 individuals owned a bike. a statistician calculated the margin of error to be 1.5%. the maximum percentage of individuals who own a bike is .
The maximum percentage of individuals who own a bike is 21.5%.
What is the maximum percentage?Margin of error is the percentage points a researcher's value would differ from the real population's value. The maximum percentage is the sum of the margin of error and the true value.
The maximum percentage = margin of error + true value
(1/5) x 100 + 1.5% = 21.5%
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Answer:
See image
Step-by-step explanation:
Plato
In a field, water flows down through the soil and then through a layer of loose rocks before the flow stops.
What type of material did the water most likely encounter when it stopped?
a layer of granite
another soil layer
a layer of rocks with cracks
another layer of loose rocks
Answer:
A layer of granite
Step-by-step explanation:
This layer so granite is impervious hence is not porous. Due to its non-porosity, water cannot pass through it. These types of rocks are important in aquifers. When an impervious rocks sandwich a pervious layer or are below a pervious rock, an aquifer is created.
The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, We get;
An igneous rock which is formed by the cooling of a molten body of rock and more cooling of the molten body of rock (magma) is a Granite. The surrounding rock is more dense than the the body of molten material and they rise in form of bulb shaped known as plugin.
After rising, the granite slowly cools down, visible crystals that makes up layers are formed during the slow cooling process.
Water hardly penetrate through a layer of granite because of it's dense nature. The layers of granite prevent the vertical movement of water.
In this case water pass through the layer of rock because it is less dense, but it can't pass through a layer of granite because it is very dense and if forms a bulb(onion) like shape.
Thus, The type of material did the water most likely encounter when it stopped is, ''A layer of granite''.
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PLSS HELPP
Question 13 of 40
-
-
If f(x) = 2x² - 5 and g(x) = x² - 4x − 8, find (f – g)(x).
Options:
A. (f - g)(x) = -x^2 - 13
B. (f - g)(x) = x^2 + 4x + 3
C. (f - g)(x) = x^2 - 4x - 3
D. (f - g)(x) = 3x^2 - 4x - 13
Answer:
[tex](f - g)(x) = x^2 + 4x + 3[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2 - 5g(x) = x^2 - 4x - 8(f - g)(x)=2x^2 -5 - (x^2 -4x-8)[/tex]
[tex]= 2x^2 -5 -x^2 +4x+8[/tex] ----------> distribute
[tex]= x^2 +4x +3[/tex] ------------> combine like terms
Therefore, Option B is the correct answer.
Pete, Lulu and Liza are walking in the Boston downtown. Each time Pete takes 4
steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps. If Liza
takes 120 steps, how many steps does Pete take?
If Liza takes 120 steps, then the number of steps taken by Pete will be 72.
What are a ratio and a proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
Pete, Lulu, and Liza are walking in the Boston downtown. Each time Pete takes 4 steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps.
Then the relation between is given as
4 Pete → 4 Lulu
5 Lulu → 4 Liza
Then we have
[tex]\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow \dfrac{5}{3} \ Lulu \rightarrow 4 \ Liza[/tex]
If Liza takes 120 steps, then the number of the step taken by Pete will be
[tex]\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow 4 \times 120 \\\\Pete \rightarrow 72[/tex]
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Factorise fully 18g - 15
Answer:
3(6g - 5)
Step-by-step explanation:
1. First, find the GCF of 15 and 18.
Factors of 15:
1, 3, 5, 15
Factors of 18:
1, 2, 3, 6, 9, 18
The GCF of 15 and 18 is 3.
2. Factorize
3(6g - 5)
3. Check you answer:
3(6g) + 3(-5)
18g - 15
Hope this helps!
HELP ME PLEASE. I REALLY NEED THIS
Answer:
girl good luck I cant even do that.
What about psychology?
Psychology is the scientific study of mind and behavior.
innahbee (. ❛ ᴗ ❛.)
Find the perimeter and area of the following
16. PM = 26x + 8x^2y
A = 52x^3y
17. Area = 33a^5b
I need help for this one!!! What u
The above is not a function because -2 is mapped to two elements 2 and -4.
What is a function?A function relates an input to an output. The three main parts of a function are the inputs, outputs and the relationship.
The formal definition of a function is that it relates each element of a set with exactly one element of another set (possibly the same set).
In other words, one element must be mapped to another element.
Each element cannot be mapped to two elements.
Therefore, the above is not a function.
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Cavalieri’s principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the respective bases, then the two solids have equal volume. the two shaded solids both have a height of 2r units. at every level, the areas of the cross sections of both solids equal π(r2 – b2). a cylinder and a sphere are shown. 2 cones are cut out of the cylinder. the cones have a radius of 4. the cylinder has a height of 2 r. the sphere has a radius of 4. the sphere has a height of 2 r. cross-sectional areas are shown on each figure. therefore, the formula for the volume of the sphere can be derived by writing an expression that represents the volume of one cone within the cylinder. the two cones within the cylinder. the solid between the two cones and the cylinder. the cylinder.
Therefore, the formula for the volume of the sphere can be derived by writing an expression that represents the volume of C. The solid between the two cones and the cylinder
What is the Volume of a Sphere?
This refers to the capacity of a sphere, which is the maximum that can be contained in the sphere. This is denoted as V=4/3πr3
Hence, we can see that based on Cavalieri’s principle that states that if two solids of equal height have equal cross-sectional areas, then the two solids have equal volume.
Therefore, the two shaded solids both have a height of 2r units, and thus, to derive the function, we would have to write an expression that represents the volume of the solids between the two cones and the cylinder
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Answer: B
Step-by-step explanation: just did it
A triangular prism has a triangular face with a base of 7 meters and a height of 10 meters. It’s volume is 259 cubic meters. What is the length of the triangular prism. (will mark brainliest)
What is the length of the triangular prism is 3.7
259 / 10 = 25.9
25.9 / 7
= 3.7
Mrs. Gurung is a bank Manager in a development bank. Her monthly is Rs 50,000.
ther annual income is equivalent to her 15 month's salary, find her income tax
in a year.
The income tax of Mrs Gerung based on the information given in a year will be Rs 142000.
How to calculate the tax?From the information given, the monthly income is s Rs 50,000 and the annual income is equivalent to her 15 month's salary,
The income tax will be:
= 50000 + (450000 × 1%) + (100000 × 10%) + (200000 × 20%) + (125000 × 30%)
= 50000 + 4500 + 10000 + 40000 + 37500
= 142000
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The box-and-whisker plot below represents some data set. What is the value of the
second quartile?
H
50
100
150
200
Answer:
Submit Answer
The second quartile is the median of the data sets and have a value of 100.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The box-and-whisker plot provides a five number summary of data sets i.e. minimum, lower quartile, median, upper quartile and range.
The second quartile is the median of the data sets and have a value of 100.
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If you live in a state that needs to collect $18 million in property taxes and has a tax rate of 2.77%, what is that state's
taxable value?
O $650 million
O $65 million
O $6 million
O $499,000
Answer:
la respuesta es 65 millones
Please answer c.) with working
Answer:
a: 44%
(11×100)÷25=44
b: 3
2×4=8
3×1=3
8+3=11
14-11=3