Answer:
(b) 1.7 in
Step-by-step explanation:
The area of a regular polygon in terms of perimeter and apothem is given by the formula ...
A = 1/2Pa
For a hexagon, the perimeter is 6 times the side length, so this becomes ...
A = 1/2(6s)a = 3sa . . . . . for side length 's' and apothem 'a'
__
Solving for the apothem, we find ...
a = A/(3s)
For the given values of area and side length the apothem is ...
a = 10.4/(3·2) = 1.733... ≈ 1.7 . . . inches
The apothem, rounded to tenths, is 1.7 inches.
Answer:
1.7 in.
Step-by-step explanation:
E2020 Geometry B!! :3
What is the distance between the points (-1 , -11) and (-1 , 23) in a coordinate plane?
Answer:
they're are just both different numbers on the coordinate plane. Simple.
Step-by-step explanation:
need help will give brainlist
Answer:
The last option morgan didn't distribute the negative sign
Find the area of the shape below:
NOTE: The figure is NOT drawn to scale
Answer:
Find the rectangle's area on the left hand side, using the formula:
A = l x w
Where 'l' represents the length and 'w' stands for the width.
Plug in what you know:-
A = l x w
A = 15 x 5
A = 75 square units is the area of the left rectangle.
Now let's find the rectangle's area on the right hand side, using the formula:
A = l x w
Where 'l' represents the length and 'w' stands for the width.
A = l x w
A = 15 x 4
A = 60 square units is the area of the right rectangle.
Now find the middle small horizontal rectangle's area, using the formula:
A = l x w
Where 'l' represents the length and 'w' stands for the width.
But, let's figure out the length first.
We know that from the left rectangle, the two side lengths beside the unknown length of the middle rectangle area 5 and 7.
The unknown length plus those two lengths (5&7) will have to equal 15 since that is the total length, so;
15 - (5 + 7) = x
15 - 12 = x
3 = x, so the unknown length of the middle rectangle is 3.
Plug in what you know into the formula:
A = l x w
A = 3 x 7
A = 21 square units is the area of the middle rectangle.
Now add up all the areas together:
75 + 60 + 21
= 156 square units is the area of the shape.
Which equation could be used to calculate the sum of the geometric series? one-third two-ninths startfraction 4 over 27 endfraction startfraction 8 over 81 endfraction startfraction 16 over 243 endfraction
The equation could be used to calculate the sum of the geometric series is [tex]S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }[/tex]
Sum of geometric sequenceGeometric sequence are sequence that increase expoentially. The formula for calculating the sum of an exponential sequence is expressed as:
[tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]
where
a is the first termn is the number of termsr is the common ratioFrom the given sequence
a= 1/3
r = 2/9 * 3 = 2/3
Substitute into the formula
[tex]S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }[/tex]
Hence the equation could be used to calculate the sum of the geometric series is [tex]S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }[/tex]
Learn more on geometric series here; https://brainly.com/question/24643676
Answer:
A
Step-by-step explanation:
edge
The school newspaper wants to do an article about DLDs at DHS by interviewing the Dacula Leadership Team. They wish to get quotes from 8 of the 30 seniors on DLT. 18 of the senior DLT members are athletes, while 12 are non-athletes. Determine the probability that the newspaper staff receives quotes from exactly 3 athletes. Round to two decimal places.
The binomial distribution is applicable when only two outcomes are possible. The probability that the newspaper staff receives quotes from exactly 3 athletes is 0.1238.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
Given that 18 of the senior DLT members are athletes, therefore, the probability of a DLT member being an athlete is,
[tex]P = \dfrac{18}{30} = \dfrac{6}{10} = 0.6[/tex]
Also, 12 of the senior DLT members are non-athletes, therefore, therefore, the probability of a DLT member being a non-athlete is,
[tex]q = \dfrac{12}{30} = \dfrac{4}{10} = 0.4[/tex]
Now, using the binomial distribution the probability that the newspaper staff receives quotes from exactly 3 athletes can be written as,
[tex]P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=3) = ^8C_3\cdot (0.6)^3\cdot (0.4)^{(8-3)}\\\\P(x=3) = ^8C_3\cdot (0.6)^3\cdot (0.4)^{(5)}\\\\P(x=3) = 0.1238[/tex]
Hence, the probability that the newspaper staff receives quotes from exactly 3 athletes is 0.1238.
Learn more about Binomial Distribution:
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Find the mean and the median of this data set: 8, 7, 6, 3, 47, 7, 4, 2.
Answer:
Mean: 10.5
Median: 6.5
Step-by-step explanation:
To find mean, find the sum of all of the numbers, then divide the sum by how many numbers there are in the data set.
8 + 7 + 6 + 3 + 47 + 7 + 4 + 2 = 84
84 ÷ 8 = 10.5
To find the median, list the numbers in order from least to greatest, then take one number off from each end of the data set until you get to the middle.
2, 3, 4, 6, 7, 7, 8, 47
In the middle lie numbers 6 and 7. To get the median, find the sum, then divide it by 2.
6 + 7 = 13
13 ÷ 2 = 6.5
hope this helps!
(06. 02 MC)
A fast-food chain claims one small order of its tater tots weighs 90 grams. Ava thinks she
is getting less than what the restaurant advertises. She weighs the next 14 random
orders of tater tots before she eats them and finds the sample mean is 89. 3 grams and
the standard deviation is 3. 71 grams. What conclusion can be drawn at a = 0. 05? (2
points)
There is not sufficient evidence to prove the fast-food chain advertisement is true.
There is sufficient evidence to prove the fast-food chain advertisement is false.
Ava does not have sufficient evidence to reject the fast-food chain's claim.
O Ava has sufficient evidence to reject the fast-food chain's claim.
There is not sufficient data to reach any conclusion.
Answer: Ava doesn’t have sufficient evidence to reject the fast-food chains claim.
Step-by-step explanation: I got it right on the quiz lol
Ava doesn’t have sufficient evidence to reject the fast-food chain's claim that option (C) is correct.
What are statistics?Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.
It is given that:
A fast-food chain claims one small order of its tater tots weighs 90 grams.
She weighs the next 14 random orders of tater tots before she eats them.
The sample mean X = 89.3 grams
The standard deviation SD = 3.71 grams
Z = (u - X)/sd
Z = (90 - 89.3)/3.71
Z = 0.18
Thus, Ava doesn’t have sufficient evidence to reject the fast-food chain's claim that option (C) is correct.
Learn more about the statistics here:
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If we use a double sided coin and assign heads as females and tails as males, what is the best way to perform
Answer:
D. Keep track of the number of heads flipped in 50 flips. These represent the number of females born today. Repeat this 200 times.
Step-by-step explanation:
give it a line segment containing the points AB and C in order if AB is four and BC is 16 then what is the length of AC
Use the method of elimination to solve the pair of simultaneous equation 3a=2b+1,3b=5a-3
Answer:
a = 3
b = 4
Step-by-step explanation:
Simultaneous equation
3a = 2b + 1
3a - 2b = 1 ------------------(I)
3b = 5a - 3
-5a + 3b = -3 --------------(II)
Multiply equation (I) by 3 & equation (II) by 2 and then add. So, now 'b' will be eliminated and we can find the value of 'a'.
(I)*3 9a - 6b = 3
(II)*2 -10a + 6b = -6 {Now add}
-a = -3
a = -3/(-1)
[tex]\sf \boxed{a = 3}[/tex]
Plugin a = 3 in equation (I)
3*3 - 2b = 1
9 - 2b = 1
-2b = 1 - 9 {Subtracting 9 from both sides}
-2b = - 8
b = (-8)/(-2) {Dividing both sides by (-2_}
[tex]\sf \boxed{b = 4}[/tex]
Answer:
(a, b) = (3, 4)
Step-by-step explanation:
In order to eliminate one of the variables in this system of equations, both equations need to be multiplied by different numbers before they are added or subtracted. We can eliminate the 'b' variable by subtracting 3 times the first equation from 2 times the second. (Putting the 'b' terms on the same side of the equal sign makes this easier.)
__
2(3b) -3(2b +1) = 2(5a -3) -3(3a)
6b -6b -3 = 10a -6 -9a
3 = a . . . . . . . add 6 and collect terms
3b = 5(3) -3 . . . . use the second equation to find b from a
b = 4 . . . . . . . divide by 3
The solution is (a, b) = (3, 4).
_____
The multiplier used in each case is the coefficient of the variable in the other equation. The two equations have 'b' coefficients of 2 and 3, so we multiplied the equations by 3 and 2 before subtracting. That makes the 6b terms cancel, leaving only terms with the 'a' variable.
By swapping sides of the equation the way we did, the 'a' terms end up on the same side of the equal sign, which is where we want them. Likewise, the 'b' terms end up on the same side of the equal sign, so their cancellation is easier to see.
help me, please help, please
Answer:
Maddie has 6 cookies
Step-by-step explanation:
Let a symbolise the sugar cookies
so, Jacob has 3a
And Mary has double of Jacob's cookies
Hence,
3a * 2
= 6 cookies
pls help fast --Solve the addition equation by finding a common multiple. (1 point)
one half plus two thirds plus four sixths equals blank
eleven sixths
seven elevenths
seven sixths
nine sixths
Step-by-step explanation:
11/6 !!
Please make me brainliest if this was helpful
Which expression is equivalent to 20 - 35x ? *
Answer:
5[4 - 7x]
Step-by-step explanation:
Given expression:
20 - 35x
To factorize the expression, we need to determine the GCF of the terms.
⇒ 20 - 1, 2, 4, 5, 10, 20⇒ 35x - 1, 5, 7, x, 35Since "5" is the largest factor in both terms, the GCF is 5.
Factorize the expression using the GCF:
⇒ 20 - 35x⇒ 5[(20 ÷ 5) - (35x ÷ 5)]⇒ 5[(4) - (7x)]⇒ 5[4 - 7x]Thus, 5[4 - 7x] is equivalent to 20 - 35x.
i need help plss its a spring break thing and i need help
Answer:
It's B, because thats where the two points cross
Step-by-step explanation:
Complete the table
Original Price: [ ? ]
Percent of Discount: 25%
Sale Price: $40
What is the original price?
Which function describes this graph?
O A. y = (x+5)(x-3)
B. y = x2 + 5x+12
O C. y -(x-2)(x - 5)
D. y = 2.7x+10
Answer: B
Step-by-step explanation:
The figure below shows a sphere with its center at O. The points A, B, C, and D are on the
surface of the sphere.
How many tangents to the sphere have been shown in the figure?
A. 0
B. 1
C. 2
(D. 3
Answer:
Option. C
Step-by-step explanation:
A and C are the two points of tangencies on sphere
There are two tangents to the sphere in the figure. Option C. is the correct option
Step-by-step explanation:A and C are the two points of tangencies of respective tangents that makes a perpendicular to the centre of the sphere of 'O' point ( lined on a plane circle of sphere ).
Content:- Tangent plane to Sphere.can someone help me for this question?
Answer:
Step-by-step explanation:
To find the equation of the tangent to the given function, you must differentiate the function with respect to 'x'. The derivative (y prime) will give the tangent line at any point along the function. After we find the tangent equation, we let x equal zero which will alow us to find the slope at that point.
Begin by bringing the entire denominator to the top. If not, you'll have to do the quotient rule which is very annoying 99% of the time. You will get:
[tex]y=5(e^{2x} +3)^{-1}[/tex]
With this now, you can use the chain rule twice. Begin by differentiating:
[tex]\frac{dy}{dx} =5\frac{d}{dx} [e^{2x} +3)^{-1}][/tex]
Use the chain rule:
[tex]\frac{dy}{dx} =-5(e^{2x} +3)^{-2}\frac{d}{dx} [e^{2x} +3][/tex]
Use the chain rule again:
[tex]\frac{dy}{dx} =-5(e^{2x} +3)^{-2}[2e^{2x} ][/tex]
Simplify:
[tex]y'=-\frac{10e^{2x} }{(e^{2x}+3)^{2}}[/tex]
Let x = 0 to get:
[tex]y'=-\frac{10}{4^{2}} =-10/16=-5/8=-0.625[/tex]
NO LINKS I WILL REPORT YOU.
PLEASE HELP ME. ILL GIVE YOU VIRTUAL KISS AND HUGS
Question 1(Multiple Choice Worth 1 points)
(08.04 MC)
The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollars for a tire company to manufacture a tire, where x is the number of tires produced, in thousands:
graph of a parabola opening down passing through points negative 4 and 57 hundredths comma zero, zero comma 62, 1 and 12 hundredths comma 75, 17 and 65 hundredths comma 167 and 55 hundredths, 34 and 18 hundredths comma 75, and 39 and 87 hundredths comma zero
If the company wants to keep its production costs under $75,000, then which constraint is reasonable for the model?
−4.57 ≤ x ≤ 39.87
1.12 ≤ x ≤ 34.18
−4.57 ≤ x ≤ 1.12 and 34.18 ≤ x ≤ 39.87
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Answer:
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Step-by-step explanation:
Not my answer Props to this guys: https://brainly.com/question/14438192
Sorry I'm asking again but i need help
On Friday, Keith spent 12 pennies on ice cream. The next day, Keith spent 15 dimes on baseball cards. All in all, how much money did Keith spend?
Answer:
$1.62
Step-by-step explanation:
Penny = 1 cent
Dime = 10 cents
10 x 15 = 150 + 12 = 162
3. Find the area of the rectangle with length 29 yards and width 45 yards.
74 yd?
1,305 yd?
148 yd
13,050 yd?
3Answer: 1305yard²
Step-by-step explanation:
Area is length multiplied by the width
29 × 45 =
To make lemonade, Carlos used 5 times more water than lemon juice. He used 3 pints of lemon juice. After making the lemonade, he poured it equally into 4 jugs. How many cups of lemonade are in each jug?
Answer:
11 Cups
Step-by-step explanation:
Carlos used 3 pints of lemon juice and 5 times more water than lemon juice. So, he uses 3 x 5 = 15 pints of water for the lemonade. The amount of lemonade is 15 + 3 = 18 pints. Now he pours it equally into 4 jugs which makes it 18 ÷ 4 = 4.5 pints in each jug. Now 1 pint fills 2.4 cups which means 4.5 pints will fill 4.5 x 2.4 = 10.8 cups which will apprroximately be 11 cups.
jefferson elementary school has 47 classrooms. There are approximately 28 students in each classroom. about how many students attend jefferson elementary school
Answer:
1316 students
Step-by-step explanation:
to find the answer to this question you simply multiply the number of students in each classroom 28 people by the number of classrooms 47.
28 (students) X 47 (classrooms) = 1316
more math !!!!! lol helppp
Answer:
p = 34d * k - 6000d
Step-by-step explanation:
profit equals to the number of skates sold that number - the rent for the building
24 There are 4 students running for president in the school election. The likelihood of
each student winning has been estimated by surveying a random sample of
students. The results of the survey are shown below.
Jocelyn
1
5
Melvin 1596
Sharon
3
10
Jayden 0.35
Which student is most likely to win?
A Jocelyn
B Melvin
C Sharon
D Jayden
Answer:
D
Step-by-step explanation:
1/5 = 20%
3/10 = 30%
15%<35%
30%<35%
20%<35%
Alex has two designs to build a chest. In each design, the chest is a rectangular prism. Chest A has dimensions of 5 feet ×3 feet ×214 feet . Chest B has dimensions of 4 feet ×312 feet ×3 feet . Part A How much space does each chest hold? Include units in your answers. Chest A has of space. Chest B has of space. Question 2 Part B How much material is needed to build each chest? Include units in answer. Chest A needs of material. Chest B needs of material.
Answer:
I like turtlesion:
Step-by-step explanation:
the answer is easy you take 2 + 2 + 2 + 2 + 2 + 2 + 2 and then you got8 twos so you kind of want to do that and add another number to the 8th and then got 82 there's a step-by-step explanation and this is not actually not the answer I just want to fool around with some people
a jewelry maker uses 4/5 yards of wire to make 3 necklaces. She uses the same length of wire for each necklace. What length of wire will she use to make 5 of the same necklaces.
Answer:
[tex]\frac{4}{3} \text \ yards\ of\ wire[/tex]
Step-by-step explanation:
She uses 4/5 yards of wire to make 3 necklaces
Then
In Oder to make 1 necklace she use :
[tex]\frac{\left( \frac{4}{5} \right) }{3} =\frac{\frac{4}{5} }{\frac{3}{1} } =\frac{4}{5} \times \frac{1}{3} = \frac{4}{15}\ \ \small\text yards\ of \ wire[/tex]
Now to make to make 5 of the same necklaces she needs :
[tex]\frac{4}{15} \times 5=\frac{4}{15} \times \frac{5}{1} =\frac{20}{15}= \frac{4}{3} \ \ \ \text \ yards\ of\ wire[/tex]
Harry gave 13% of his 3400 pay check to kane. How much money did kane receive
Answer:
in photo
Step-by-step explanation:
ur welcome fellow human
The tax rate is 6.8% what is the tax on $9.95
Answer:
$10.60
Step-by-step explanation:
6.8% = .068
.068 x 9.95
0.64675
since this is money
$.65
$9.95 + $.65
$10.60
Find the inequality represented by the graph
[tex]y\geq 2x-5[/tex]
This is because the equation of the line is y=2x-5, and the y-values have to be greater, so it is >, and since the line is not dotted, it would become greater than or equal to.