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Lady bird [3.3K]
3 years ago
8

Help me real quick please

Mathematics
1 answer:
Elena L [17]3 years ago
3 0

Answer:

Correct

Step-by-step explanation:

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Determine the standard deviation of the data below. (1, 2, 3, 4, 5)
Burka [1]

Answer:

\sqrt{2} or 1.414

Step-by-step explanation:

1) Find the mean. 1+2+3+4+5 = 15. 15/5= 3

2) For each data point, find the square of its distance to the mean. (4, 1, 0, 1, 4)

3) Sum the values from Step 2. 10

4) Divide by the number of data points. 10/5= 2

5) Take the square root. \sqrt{2}

4 0
3 years ago
Which of these values for p and a will cause the function f(x)=Pax to be an exponential growth function
vovikov84 [41]

The option are missing in the question. The options are :

A.  P = 2, a = 1

B.  $P=\frac{1}{2} ;  a =\frac{1}{3}$

C. $P=\frac{1}{2} ;  a =1$

D. P = 2, a = 3

Solution :

The given function is $f(x)= Pa^x$

So for the function to be an exponential growth, a should be a positive number and should be larger than 1. If it less than 1 or a fraction, then it is a decay. If the value of a is negative, then it would be between positive and negative alternately.

When the four option being substituted in the function, we get

A). It is a constant function since $2(1^x)=2$

B). Here, the value of a is a fraction which is less than 1, so it is a decay function. $f(x)=\frac{1}{2}\left(\frac{1}{3}\right)^x$

C). It is a constant function since the value of a is 1.

D). Here a = 3. So substituting, as the value of x increases by 1, the value of the function, f(x) increases by 3 times.

  $f(x)=2(3)^x$

Therefore, option (D). represents an exponential function.

4 0
3 years ago
Corine needs 4 pieces
alexandr1967 [171]

Answer:

Corina can make 3 friendship bracelets.

Step-by-step explanation:

Solve for how much string is needed for one friendship bracelet:

4 pieces × 1 foot

4 feet

Convert feet into inches (1 foot = 12 inches):

4 feet × 12 inches

48 inches

Divide the total string by each bracelet's string:

144 inches ÷ 48 inches

3 friendship bracelets

6 0
3 years ago
Find the area under the curve y = 13/x3 from x = 1 to x = t. Evaluate the area under the curve for t = 10, t = 100, and t = 1000
zvonat [6]

Answer:

t = 10

A = 32496.75

t = 100

A = 324999996.8

t = 1000

A=3.25\times 10^{12}

Step-by-step explanation:

The area under the curve is calculated by using the following definite integral:

A = \int\limits^t_ {1} \,{13\cdot x^{3}}  dx

A = 13 \int\limits^t_1 {x^{3}} \, dx

A = \frac{13}{4}\cdot (t^{4}-1)

Evaluated areas are presented below:

t = 10

A = 32496.75

t = 100

A = 324999996.8

t = 1000

A=3.25\times 10^{12}

8 0
4 years ago
The slope of the line that passes through the points (-7,5) and (8,-1) is wich of the following
krek1111 [17]

Answer:

-6/15

Step-by-step explanation:

y2-y1/x1-y1

-1-5/8+-7=-6/15

4 0
3 years ago
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