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NemiM [27]
3 years ago
7

In many parades, flowers are used to decorate the floats. The table below shows the number of flowers used in each row of a para

de float.
1

54
2

58
3

62
4

66

Which equation best describes these data?
Mathematics
1 answer:
inessss [21]3 years ago
5 0

Answer: C.  n = 4r + 50

Step-by-step explanation:

The equation is in the form: y =mx + c

y is the number of flowers used.

x is the row number.

Solving for m. Pick any two points. (1, 54) and (2, 58)

m = (Y₂ - Y₁) / (X₂ - X₁)

= (58 - 54) / (2 - 1)

= 4

Solving for c. Use a point to fill up the formula and find c; (1, 54)

y = mx + c

54 = 4 * 1 + c

c = 54 - 4

c = 50

Formula will therefore be;

y = 4x + 50

or;

n = 4r + 50

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A researcher examines 27 water samples for mercury concentration. The mean mercury concentration for the sample data is 0.097 cc
jonny [76]

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation = 0.0074

n = number of samples = 27

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 27 - 1 = 26

Since confidence level = 90% = 0.90, α = 1 - CL = 1 – 0.9 = 0.1

α/2 = 0.1/2 = 0.05

the area to the right of z0.05 is 0.05 and the area to the left of z0.05 is 1 - 0.05 = 0.95

Looking at the t distribution table,

z = 1.706

The critical value is 1.706

Margin of error = 1.706 × 0.0074√27

= 0.0024

The 90% confidence interval is

0.097 ± 0.0024

4 0
3 years ago
Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate
salantis [7]
The population Pa of insect A after t years is given by the equation 
     Pa = 1.3(1-0.038)^t 
while the population Pb of insect B after t years is 
     Pb = 2.1(1-0.046)^t

We equate the above expressions to find the number of years t it will take the two populations to be equal: 
     Pa = Pb
     1.3(1-0.038)^t  = 2.1(1-0.046)^t
     1.3(0.962)^t  = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.

We can now solve for t:
     (0.962)^t / (0.954)^t = 2.1/1.3
     (0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
     t = log (2.1/1.3) / log (0.962/0.954)
     t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
8 0
3 years ago
Read 2 more answers
Help please, i am struggling on how to solve!
Elina [12.6K]

Answer:

x=3

Step-by-step explanation:

The hypotenuses are equal in length of both triangles.

13=4x+1

13-1=4x

12=4x

12/4=x

3=x

6 0
3 years ago
Read 2 more answers
Help with this problem please!!!!!
mariarad [96]

Answer:

3

Step-by-step explanation:

3 0
3 years ago
A landscaper wishes to make a rectangle flower garden that is twice as king as it is wide. Express the area of the garden as a f
Dima020 [189]

Answer:

L = 2w

A = L*W

A = 2w*w

A = 2w^2

Step-by-step explanation:

7 0
3 years ago
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