The correct answer is option A which is Observational study.
What is an observational study?This is an example of an observational study because the biologist is not interfering or interacting with the subjects of the study but just watching and registering data (recording with cameras).
The biologist is not conducting an experiment because (he is not setting up special conditions to register different responses to drive conclusions), and the biologist is not making any survey (questionnaires for example).
Therefore the correct answer is option A which is Observational study.
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What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?
The measure of apothem is 1.75 cm.
The complete question is
The area of the regular octagon is 10.15 cm2.
What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?
What is an Octagon ?A polygon with eight sides , eight angles and eight vertices is called an octagon.
If a is the Side of the octagon.
10.15 = 2(1+√2) a²
a² = 10.15 / [2×(1+1.414)]
a² = 2.10
a = 1.45 cm
Therefore the side = 1.45 cm
A = 8 × (a × h)/2
If we consider 8 equilateral triangles with
a = face of octagon
h = Apothem of octagon
10.15 = 8 × (1.45 × h)/2
h = 10.15 /4/ 1.45
h = 1.75 cm
Therefore the measure of apothem is 1.75 cm.
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Question 20 The sports budget for cricket, football, and netball was divided in the ratio 5: 3:2, respectively. The total sports budget is $1.200,000. How much money will netball receive? A. B. C. D. + O A OB O C O D $120,000 $240,000 $360,000 $600,000 Question 20 The sports budget for cricket , football , and netball was divided in the ratio 5 : 3 : 2 , respectively . The total sports budget is $ 1.200,000 . How much money will netball receive ? A. B. C. D. + O A OB O C O D $ 120,000 $ 240,000 $ 360,000 $ 600,000
Using proportions, it is found that the amount that netball will receive is of:
B. $240,000
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Due to the ratios, the proportion of funding that is destined to netball is given by:
[tex]p = \frac{2}{5 + 3 + 2} = \frac{2}{10} = 0.2[/tex]
Hence, out of $1.200,000, the amount destined to netball is:
A = 0.2 x $1.200,000 = $240,000.
Which means that option B is correct.
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PLEASE HELP ASAP!!!!
What is the rectangular equivalence to the parametric equations?
x(θ)=3cosθ+2,y(θ)=2sinθ−1 , where 0≤θ<2π .
Drag a term into each box to correctly complete the rectangular equation.
____ + ________ = 1, where the x is on the interval _______
options:
(x-2)^2/9
(x+2)^2/9
(x-1)^2/4
(x+1)^2/4
(y-2)^2/9
(y+2)^2/9
(y-1)^2/4
(y+1)^2/4
[-3,3]
[-3,1]
[-2,2]
[-1,5]
The correct answer is option A [tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2})^2=1[/tex] it will be an ellipse.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Let's consider the following trigonometric identity:
Sin²[tex]\theta[/tex] + Cos²[tex]\theta[/tex] = 1
Each trigonometric function is cleared respectively in given parametric equations:
[tex]Cos \theta = \dfrac{x-2}{3}[/tex] and [tex]Sin\theta =\dfrac{y+1}{2}[/tex]
The equivalent expression in rectangular form is:
[tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2}^)^2 = 1[/tex]
Therefore the correct answer is option A [tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2})^2=1[/tex] it will be an ellipse.
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Solve the equation 7(w +13) = 35.
) What is the value of w?
Answer: -8
Step-by-step explanation:
7(w+13)=35 [given]w+13=5 [divide both sides by 7]w = -8 [subtract 13 from both sides]Answer:
7(w+13)=35
7w + 91 =35
7w=35-91
7w= -56
7w/7 = -56/7
w=-8
factoris fully 2ab² + 8a²b
Answer:
2ab(b + 4a)
Step-by-step explanation:
2ab² + 8a²b
Factor Out the 2:
2(ab² + 4a²b)
Factor Out the a:
2a(b² + 4ab)
Factor Out the b:
2ab(b + 4a)
Tamara wants to know how likely her bus is to be late.
She records the data over a month and finds it was late on
7 out of 25 times that she went to catch it.
Estimate the probability of the bus being late on any given day.
If she goes for the bus 20 times in the next month,
how often would she expect the bus to be late?
Step-by-step explanation:
if7=25
therefore??=20
Cross multiply
7 multiply 20 and then divide by 25
=28/5
5.6
round off it will be 6
hope it helps
A coordinate grid with a line passing through the points (negative 4, negative 4), (0, negative 2), and (4, 0).
What is the equation of the line in point-slope form?
An equation is formed when two equal expressions. The equation of the line in point-slope form is y+2=0.5x.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The line that passes through point (-4, -4), (0, -2), and (4, 0), have the slope as,
m = (-2 - 0)/(0-4)
m = -2/-4
m=1/2
m = 0.5
The equation now in point slope form can be written as,
(y+2) = 0.5(x+0)
y+2=0.5x
Hence, the equation of the line in point-slope form is y+2=0.5x.
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What's your annual income if you're unemployed?
Answer:
$46,819 is the average unemployed salary
Find the missing length given that GH is a midsegment of the trapezoid. Base 42 and midpoint 26
The missing length is 14 unit.
The Trapezoid Midsegment segment theorem states that the length of midsegment of trapezoid is half the sum of the length of its two parallel sides of the trapezoid.
In a trapezoid, Midsegment = 1/2 × ( Sum of two bases of the trapezoid )
Here, The midsegment GH is given by 26.
One of the bases = 42
Let, another base be x
Then we have to use the formula of mid segment to find the another base of the trapezoid
∴ GH = 1/2 × (42+x)
⇒ 26 = 1/2 × (42+x)
⇒ 56 = 42+x
⇒ x = 56-42
⇒ x = 14
So, the missing length = 14 unit
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Please Help!
The manager of a home electronics store is considering re-pricing a new model of digital camera. At the current price of $680, the store sells about 70 cameras each month. Sales data from other stores indicate that for each $20 decrease in price, about 5 more cameras would be sold. The table shows some x and y values; where x is the number of price decreases and y is the revenue.
a) How many price decreases should the manager apply?
b) What price produces the maximum revenue?
c) What is the maximum revenue?
The reduction in price that will be applied is $200.
How to calculate price?From the given information, the price function will be:
P - 680/(680 - 660) = (Q - 70)/(70 - 75)
P = -4Q + 960
Revenue will be:
= Price × Quantity
= (-4Q + 960)Q
= 4Q² + 960Q
Differentiating this will be Q = 120
Price will be:
= (-4 × 120) + 960
= 480
The reduced price will be:
= 680 - 480
= 200
The maximum revenue will be:
= 480 × 120
= 57600
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Solve for x. The triangles are similar.
Answer:
[tex]\fbox {D. 10}[/tex]
Step-by-step explanation:
As the triangles are similar :
45/55 = (12x - 3)/143
9/11 = (12x - 3)/143
9 x 13 = 12x - 3
12x = 117 + 3
12x = 120
x = 10
Answer:
D. 10
Step-by-step explanation:
We can use similar triangles to solve this question. ΔRSE ≅ ΔFGE by SAS. We can set up this similarity equations: [tex]\frac{SE}{GE} = \frac{RE}{FE}[/tex] . Plugging in the numbers from the diagram, we get [tex]\frac{45}{12x-3} = \frac{55}{143}[/tex] . Using cross multiplication, we get the following equation:
[tex]45 * 143 = 55 *(12x-3)\\ 6435 = 660x - 165\\6600 = 660x\\x = 10[/tex]
Our final answer is D. 10
Which exponential equation is equivalent to this logarithmic equation? (2)
Answer:
A. e⁴=xStep-by-step explanation:
Log x=4 ➡️ e⁴=x or x= e⁴
Hope it helps
I want to know the answer quick
Answer:
[tex]\fbox {B. Exponential Decay}[/tex]
Step-by-step explanation:
As the exponent is applied to a number less than 1, the future values of the function f(x) will become smaller and smaller. Hence, it represents exponential decay.
I WILL GIVE BRAINIEST
The measure of angle N is (3x + 18) degrees . The measure of angle B is (2x + 142) degrees. If angle N is the supplement of angle B, what is the measure of the two angles?
Answer:
N: 30 B:150
Step-by-step explanation:
Supplementary angles add up to 180 meaning their equations must also add up to 180:
(3x + 18) + (2x + 142) = 180
Solve for x:
5x + 160 = 180
5x = 20
x = 4
Substitute 4 in all values of x to obtain the measure of the two angles:
N: 3(4) + 18 = 30
B: 2(4) + 142 = 150
Please can someone help me on this I’m trying to revise for my test and I don’t understand this question
Answer:
∠ EAB = 85°
Step-by-step explanation:
∠ EBC and ∠ BCD are same- side interior angles and sum to 180° , so
∠ BCD = 180° - ∠ EBC = 180° - 148° = 32°
the sum of the 3 angles in Δ ADC = 180° , that is
∠ EDC + ∠ BCD + ∠ EAB = 180°
63° + 32° + ∠ EAB = 180°
95° + ∠ EAB = 180° ( subtract 95° from both sides )
∠ EAB = 85°
Answer:
first of all the line EAB is a triangle and all the angles in a triangle equate to 180° therefore;
[tex]angle \: ebc = 148 \\ angle \: edc = 63 \\ 148 + 63 = 180[/tex]
next I subtract 148 from 63 which gives 85⁰ therefore eab is equals 85⁰
Find the probability of drawing a heart from the standard deck of cards and then drawing a 5 from any suit after the first card is replaced in the deck. Write as a fraction in simplest form.
The probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52
How to determine the probability?In a standard deck of cards, we have:
Total = 52
Heart = 13
5's = 4
Since the cards are replaced, the probability is calculated as:
P(Heart and 5) = Heart/Total * 5s/Total
This gives
P(Heart and 5) = 13/52* 4/52
Evaluate
P(Heart and 5) = 1/52
Hence, the probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52
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If a data set has many extremely small data values, than the median will be
Answer:
If a data set has many extremely small data values, than the median will be the same.
What is the median?The middle number in a given sequence of number, taken as the average of the two middle numbers when the sequence has an even number of numbers.
The median is resistant to change no matter extremely small or large values.
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Which expression can be used to find the area of the
composite figure?
O 4x
O 2x + 2x²
Ox2 + 2x
O 3x²
Answer:
3x²
Step-by-step explanation:
1 triangle is 1/2x²
2 triangles are x²
rectangle below is 2 squares
rectangle below is 2x²
x² + 2x² = 3x²
What is the answer for 4x+1/3=20?
Answer:
x = 59/12
Step-by-step explanation:
4x + 1/3 = 20
4x = 20 - 1/3
12x/3 = 60/3 - 1/3
12x = 60 - 1
12x = 59
x = 59/12
Check:
4*59/12 + 1/3 = 20
236/12 + 4/12 = 20
240/12 = 20
Select the correct answer from each drop-down menu.
Determine the best measure of center and the skew of the data distribution.
(23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38)
The central tendency of the given data will be 22.79.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
There are 3 ways in which we can express the centre of the data given: (1) mean or average, (2) mode, (3) median
For the mean, we sum up all the given and divide them by the number of data
mean = 433 / 19 = 22.79
For the mode, we just determine which among the given data appears more frequently and in this given that is 23.
For the median, we arrange the numbers from highest to lowest and determine which number will appear in the centre. Since there are 19 data, we need to find which among them will appear to be the 10th. That is also 23.
So, the value that would best describe the central tendency is 23. Since the values to the left of 23 are more scattered than those to its right, the distribution exhibits negative.
Therefore central tendency of the given data will be 22.79.
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it takes two painters 4 days to complete a job. How long does does 1 painter take for the same job?
Answer:
Eight days in total.
Step-by-step explanation:
If it takes two painters four days to paint, one person should take twice as long, because of not having help from another person to make the painting process quicker. So, the single person would take eight days to paint in the same job. (Hope this helps!)
Rewrite the rational exponent as a radical exponent ^{^3\sqrt{2^7}}
Answer:
4 ^3sqrt(2)
Step-by-step explanation:
two 2's can come out of the square root and it leaves one left in it and 2x2 is 4 which is on the outside.
Please helpppp !!!!!
Answer:
The answer is A
Please help!!!!!!!
picture below
If the function is vertically stretched by a factor of 3, the resulting function will be g(x) = [tex]3(5^{x-2})[/tex]
Vertical stretch of a functionGiven the parent function f(x) = x, if the function is vertically stretched by k units, the resulting function will be g(x) = kx
Given the parent function
f(x) = [tex]5^{x-2}[/tex]
If the function is vertically stretched by a factor of 3, the resulting function will be g(x) = [tex]3(5^{x-2})[/tex]
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Which expression is a factor of this polynomial? x^3 + 2x^2 - 9x - 18
A (x+2)
B (x+1)
c (x-2)
d (x-6)
Answer:
(x+2)(x-3)(x+3) this is ans
Answer:
a. (x + 2)
Step-by-step explanation:
x^2(x + 2) - 9(x + 2)
(x + 2)(x^2 - 9)
(x + 2)(x - 3)(x + 3)
Therefore the answer is (x + 2)
simplify the following polynomial expression. (5^4-9^3+7x-1)+(-8^4x^2-3x+2)-(-4x^3+5x-1)(2x-7)
The simplified expression is 5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6.
What is expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
Given:
(5[tex]x^{4}[/tex] - 9x³ + 7x -1) + ( -8[tex]x^{4}[/tex]+ 4x² - 3x + 2) - ( -4x³ + 5x -1) (2x - 7)
Now,
5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 - ( -4x³ + 5x -1) (2x - 7)
=5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2-(-8[tex]x^{4}[/tex]+28x³ +10x² - 35x -2x +7
= 5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 +8[tex]x^{4}[/tex]- 28x³ - 10x² + 35x + 2x - 7
= 5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6
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8. What least number must be subtracted from 13601 to get a number exactly divisible by 87?
Answer:
29
Step-by-step explanation:
87×156+29=13601
First do 13601/87=156.3333...
156 × 87 = 13572
13601-13572=29
so, 87×156+29=13601
Answer:
29Step-by-step explanation:
What least number must be subtracted from 13601 to get a number exactly divisible by 87?
13601 : 87 = 156 and remainder 29
so your answer is 29
---------------
check
(13601 - 29) : 87 =
13572 : 87 = 156
Help me please I need this for tomorrow please please
Riley has 51/4 cups of chocolate chips, she needs ¾cup of chocolate chips to make one batch of cookies. how many batches of chocolate-chip cookies can Riley make
Answer:
17 batches
Step-by-step explanation:
51/4 ÷ 3/4 = 51/4 x 4/3
=17
A car travels ¹/4 mile in ³ minutes, what 4 is its speed in terms of miles per minutes? A car travels ¹ / 4 mile in ³ minutes , what 4 is its speed in terms of miles per minutes ?
Answer:
1/12 mile per minute
Step-by-step explanation:
1/4 mile in 3 minutes
then miles per minute is 1/4 mile / 3 min = 1/12 mile/min
