Answer:
C. 3.4
Step-by-step explanation:
We need to find expected value, which is essentially the value that we expect to get based on the amount of each "thing" at hand.
Here, we have 4 multiple-choice questions worth 3 points each and 2 true/false questions worth 1 point each. Each multiple-choice question has 5 possible answers, so the probability that you get that multiple-choice question correct is 1/5. Similarly, each true/false question has 2 possible answers, so the probability that you get that question right is 1/2.
Expected value, denoted by E(x), has the formula:
E(x) = ∑ xp(x), where x is the number of points you get per problem here and p(x) is the probability of getting the problem correct
E(x) = 4 * 3 * (1/5) + 2 * 1 * (1/2) = 12/5 + 1 = 17/5 = 3.4.
The answer is thus C.
Answer:
C. 3.4
Step-by-step explanation:
P(correct MCQ) = ⅕
P(correct T/F) = ½
4×3×⅕ + 2×1×½
2.4 + 1
3.4
A shop is having a sale.
All items are reduced by 25%
Work out the sale price of an item normally priced at £90
Answer:
67,5 £
Step-by-step explanation:
Answer:
90-£22.50=
67.50
Step-by-step explanation:
Michelle is on a secret mission to reclaim artifacts that were recently stolen from the National Museum. The artifacts are located in a private manor just outside the city. The rectangular base of the manor is 60 m by 30 m. Help Michelle plan her mission by redrawing the base of the manor by moving points on the grid below.
Is (-2,3) a solution of the graphed inequality?
Choose 1 answer:
.Yes
or
.No
Answer:
yes
Step-by-step explanation:
Answer:
Yes my mistake didn't see the solution.
.Step-by-step explanation:
Inequality is basically where it doesn't eqaul to the
!!y≤x+ (0,0)!!
Gunther drew a circle. The radius of the circle is 20 inches. He uses the formula below to determine the area of his circle
Answer:
D.) 400π
Step-by-step explanation:
The formula for the area of a circle is:
A = πr²
Substitute the radius into the equation:
A = πr²
A = π(20²)
Solve:
A = π(20²)
A = 400π
Therefore, the area of the circle is 400π square inches.
Try It!
Find the length of a 100-yard football field in meters. Use 1 yard = 3 feet
and 1 meter = 3.28 feet. Round to the nearest tenth.
Answer:
91.46m
Step-by-step explanation:
The length of 100 yard football field in meters.
From the dimension given,
1 yard = 3 feet
Therefore,
100 yard = x feet
1 yard = 3 feet
100 yard = x feet
X = (100 × 3) / 1
X = 300 feet.
But,
1 metre = 3.28feet
X metre = 300 feet
X = (300 × 1) / 3.28
X = 91.46m
Therefore, 100 yard football field is equal to 91.46m
Eric's income puts him in the second tax bracket (15%) last year. During the same year, he earned $515 in dividends and $65 in coupons on a municipal bond. In March, he purchased a common stock for $200. He sold the same stock six months later for $915. What is the total Eric will pay in taxes on last year's investments?
Answer: $184.50
Step-by-step explanation:
Eric’s income puts him in the second tax bracket which has 15%, tax rate.
Eric has the following income-
Income from dividends = $515 what ch is (taxed at 15%)
Therefore; tax on dividend income = $515 * 15%
= $515 × 15/100
= $515 × 0.15
= $77.25
The Income from municipal bonds = $65 (Not taxed)
The income from sales of stock (capital gain)= $915 - $200 = $715 (This is held for less than 1 year therefore it is taxed as ordinary income at 15% tax rate)
Therefore,the tax on the short-term capital gain
= $715 * 15%
= $715 × 0.15
= $107.25
Therefore the total amount Eric will pay in taxes on last year’s investment will be:
= tax on dividend income + the tax on short-term capital gain
= $77.25 + $107.25
=$184.50
Answer:
$107.25
Step-by-step explanation:
I just took the quiz ehehe
Someone help me please?!
Answer:
13
Step-by-step explanation:
Mark me as brainliest
Solve 5x + y = -3 for y .
A. y = -5x + 3
B. y = 5x + 3
C. y = -5x - 3
D. y = 5x - 3
Answer:
C. y = -5x - 3
Step-by-step explanation:
5x + y = -3
y=-5x-3
really need brainliest!
Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina’s cycling speed is 10 km/h, how much time longer will Masha need to complete the path?
I WILL AWARD BRAINLIEST
Answer: Masha needs 40 more minutes to complete the path.
Step-by-step explanation:
So if Dina is cycling speed is 10km per hour that means it will take Dina 2 hours to completed the the path.
Here; [tex]\frac{10km}{1h}[/tex] = [tex]\frac{20km}{x }[/tex]
10x = 20
x= 2
But since Masha still have 4 more km to go you will add 20 + 4 =24
[tex]\frac{10}{1}[/tex] = [tex]\frac{24}{x}[/tex]
10x= 24
x= 2.4
pls help i need to get 100% in khan acdemy
Answer:
A B and D
Step-by-step explanation:
This is algebra l right
The correct answers are clearly a and b based from the chart and graphs.
3 x 5 = 15 9x4 = 36 (15,36)
Hopefully this helped you even though it says deleted account but still :)
how many real roots does a quadratic equation have if the discriminant is 10
Answer:
2
Step-by-step explanation:
if the discriminant of the quadratic equation is 10 then it will have 2 real roots.
32° 15' 66" is the same as
Round to the nearest hundredth of a degree.
The 32° 15' 66" is the same as 32.27 degree because 1 degree = 60 minutes = 3600 seconds.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.
We have:
32° 15' 66"
Here 15' represents the minute and 66" represents the seconds.
We know 1 degree = 60 minutes = 3600 seconds
15' in degree = 0.25 degree
66" in degree = 0.01833 degree
= 32 + 0.25 + 0.01833
= 32.268 ≈ 32.27 degree
Thus, the 32° 15' 66" is the same as 32.27 degree because 1 degree = 60 minutes = 3600 seconds.
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Solve 5 + g > 62.
g > 67
g > 57
g < 57
g > 310
Answer:
work is shown and pictured
Vector v has its initial point at (13, -7) and its terminal point at (3, -1). Write the vector in component form and find its magnitude. Round the vector’s magnitude to the nearest hundredth unit. Make sure to show all work and explain the steps.
Is this what your looking for?
First compute the component form of vector u by subtracting its initial values from terminal values. 18-1=17, 6-(-12)=18. So u=(17, 18). Since v points in the opposite direction, and has a magnitude three times that of u, we multuply the u by -3 and get v=(-3*17, -3*18)=(-51, -54).
A water tower in New York City has the shape of a cylinder with a cone on top. The cylinder has a diameter of 12 feet and a height of 15 feet. The roof has an inclination angle of 25 degrees
Answer:
a. 14.19 feet
b. 2504.26 cubic foot.
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
(a) Determine the height of the cone to the nearest tenth of a foot.
(b) Determine the overall volume of the tower to the nearest cubic foot.
Please have a look at the attached photo.
My answer:
Given the information:
The cylinder has:
diameter of 12 feet => the radius : 6 feetheight of 15 feetThe cone has: an inclination angle of 25 degrees
(a) Determine the height of the cone to the nearest tenth of a foot.
Let h is the height of the cone
The distance from C to A is 6 feet and the measure of the angle CAB is 25 degrees. The triangle ABC is a right triangle.
=> sin(CAB) = [tex]\frac{CA}{h}[/tex]
<=> h = [tex]\frac{CA}{sin25}[/tex]
<=> h = [tex]\frac{6}{sin25}[/tex]
<=> h = 14.19 feet
(b) Determine the overall volume of the tower to the nearest cubic foot.
overall volume = volume of the cone + volume of the cylinder
We have:
Volume of the cylinder = the height*the base area= 15*[tex]r^{2}[/tex]*π
= 15*[tex]6^{2}[/tex]*π
= 1696.6 cubic foot.
volume of the cone = 1/3*the height*the base area= 1/3*14.19*[tex]6^{2}[/tex]*π
= 534.76 cubic foot.
=> overall volume = 534.76 + 1696.6 = 2504.26 cubic foot.
Hope it will find you well.
6:
A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent concert, 1020 tickets were sold. There were twice as many balcony tickets sold as gallery tickets, and 225 more main floor tickets than balcony tickets. If g represents the number of gallery tickets sold, which expressions represents this situation?
A
Gallery: g
Balcony: g
Main Floor: g + 225
B
Gallery: g + g + 225
Balcony: 2g
Main Floor: g
C
Gallery: g
Balcony: g + 225
Main Floor: 2g + 225
D
Gallery: g
Balcony: 2g
Main Floor: 2g + 225
Answer:
D) gallery: g
balcony: 2g
main floor: 2g + 225
Step-by-step explanation:
Find the length of the missing side of the right triangle. Round to three decimal places, if necessary. a = 9, c = 15
1) 15
2) 11
3) 14
4) 12
16. Determine the measure of x:
21
680
х
PLEASE ANSWER CORRECTLY !!!!!! WILL MARK BRAINLIEST !!!!!!!!!!
Answer:
u-5=-4(v-1)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
V=-u/4+9/4 THIS ANSWER IS IF YOU ARE LOOKING FOR (V)
u=-4v=9 THIS ANSWER IS IF YOU ARE LOOKING FOR (U)
HOPE THIS HELPS:)!!!!!
STAY SAFE
which equation correctly shows how to determine the distance between the points (9, -2) and (6, 3) on a coordinate grid? (Hurry I will mark brainliest)
Answer:c
Step-by-step explanation:
Given
Two points are given [tex](9,-2)[/tex] and [tex](6,3)[/tex]
We know distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Distance [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting values we get
[tex]d=\sqrt{(6-9)^2+(3-(2))^2}[/tex]
[tex]d=\sqrt{(-3)^2+(5)^2}[/tex]
[tex]d=\sqrt{9+25}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]d=6\ units[/tex]
Thus option c is correct
If T=[23 -38]
[17. -6 ] then what is -10(T)
Answer:
B
Step-by-step explanation:
Multiply each term by -10
12 = 6(n – 7)
Solve 2 -step equation
Answer:
9 = n
Step-by-step explanation:
12 = 6(n – 7)
Divide by 6 on both sides
12/6 = 6/6(n – 7)
2 = n-7
Add 7 to each side
2+7 = n-7+7
9 = n
Answer:
9 = n
Step-by-step explanation:
12 = 6(n – 7)
12 = 6n - 42. Use the distributive property
12 = 6n - 42
+42. +42. Inverse operations
54 = 6n
÷6. ÷6
9 = n
Find the slope from the table.
Answer:
slope = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (1, 2) ← 2 ordered pairs from table
m = [tex]\frac{2-1}{1+1}[/tex] = [tex]\frac{1}{2}[/tex]
How many lines of symmetry are in the regular pentagon
O A. 3
O B. 5
O C. 7
O D. 9
Answer:
5
Step-by-step explanation:
There is one line of symmetry for each side of the pentagon.
Since only 3 vertical lines can be drawn across a pentagon that will divide it equally, hence there are 3 lines of symmetry in the regular pentagon
What is a line of symmetry?A line of symmetry is a line that divides a figure equally.
A pentagon is a shape with 5 sides. According to the question weneed t know the lines of symmetry are in the regular pentagon
Since only 3 vertical lines can be drawn across a pentagon that will divide it equally, hence there are 3 lines of symmetry in the regular pentagon
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Question 26
Read the question in the picture
Answer:
C or B if not then its B
Step-by-step explanation:
Answer:
y=4x-1
Step-by-step explanation:
On the x-axis , the line is on the number positive 4 .
PLEASE HELP (ANSWER)
Volume fomula: V = wlh
V = volume
h = height
w = width
l = length
We are given these values:
V = 882
w = 14
l = 7
Solve for h in the orignal formula:
882 = (14)(7)h
882 = 98h
882/98 = 98h/98
9 = h
Therefore, the answer is [ 9cm ]
Best of Luck!
Answer: i think its 98
Step-by-step explanation:
GIVING BRAINLIEST BRAINLIEST!!!! Easy mathhh
Answer:
which question
Step-by-step explanation:
Answer:
its 7
Step-by-step explanation:
im in need of brainliest
A recipe uses ⅔ cup of flour and ⅝ cup of blueberries. Is there more flour or more blueberries in the recipe?
Answer:
There is more Flour
Step-by-step explanation:
☻ Get common denominators then compare the numerators
Answer:
Flour.
Step-by-step explanation:
You have to multiply both denominators to get 24, and whatever you multiplied them by, you multiply the numerator. 2x8 =16/24
5x3=15/24
Explain the students mistake
Answer:
The student was supposed to multiply 4(1+5n) to equal 4+20n instead she forgot to multiply 5n and put 4+5n.
Step-by-step explanation:
-8n + 4(1 + 5n) = -6n -14
-8n + 4 + 20n = -6n -14
12n+4 = -6n -14
+6n +6n
18n +4 = -14
-4 -4
18n= -18
n = - 1
20 POINTS!!!!!!!!!!! ASAP! 20 POINTS!!!! Use the graph below to determine a1 and d for the sequence. graphed sequence showing point 1, negative 7, point 2, negative 17, point 3, negative 27, point 4, negative 37, point 5, negative 47, and point 6, negative 57 a1 = −7; d = 10 a1 = −7; d = −10 a1 = 1; d = 10 a1 = 1; d = −10
Answer:
a1 = -7
d = -10
Step-by-step explanation:
Look at the points, you first point (1,-7) where a1 is 1 and that also means -7
Same for d go to the second point (2,-17) now add a1 from that
-17+7 = -10 so to get from -7 to -17 you had to add -10 <--- that is your d!
Goodluck
a1 is -7 and d is -10. Comparative genomics use bidirected graphs known as sequence graphs.
What is sequence graph?Comparative genomics use bidirected graphs known as sequence graphs, often referred to as alignment graphs, breakpoint graphs, or adjacency graphs. The structure is made up of several graphs or genomes, where the edges and vertices correspond to the adjacencies.
A sequence, which often represents an entire genome or a portion of a genome, is produced by traversing an interdependent component of segments with adjacency edges (referred to as a thread).
first point (1,-7) where a1=1 and that also means -7
second point (2,-17) now add a1 from that
-17+7 = -10 so to get from -7 to -17 you had to add -10, its d
a1 = -7
d = -10
Therefore, a1 is -7 and d is -10.
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