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VARVARA [1.3K]
2 years ago
10

Consider the equation 21 = m + 14.1. Which step will help to solve this equation? = a) Add 14 14 on both sides of the equation.

. b) Subtract 14 tão on both sides of the equation. С Multiply both sides of the equation by 14 141 . o Divide both sides of the equation by 14​
Mathematics
1 answer:
Sonja [21]2 years ago
4 0

Answer:

B is the right answer

Step-by-step explanation:

Subtract 14 from each side to get the value of m

21 - 14 = 7 = m

m = 7

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Wildlife biologists inspect 153 deer taken by hunters and found 42 of them carrying Lyme disease ticks. Calculate and interpret
Tamiku [17]

Answer:

90 Confidence Interval for the proportion = [ 0.216,0.334]

Step-by-step explanation:

The confidence interval for proportion formula =

p ± z × √p(1 - p)/n

Where p = x/n

x = 42

n = number of samples = 153

p = 42/153

p = 0.2745098039 ≈ 0.275

z = z score of 90% confidence interval = 1.645

Confidence interval =

0.275 ± 1.645 × √0.275 - ( 1 - 0.275)/153

= 0.275 ± 1.645 × √0.0013031046

= 0.275 ± 0.0593820985

Confidence Interval

= 0.275 - 0.0593820985

= 0.2156179015

≈ 0.216

= 0.275 + 0.0593820985

= 0.3343820985

≈ 0.334

90 Confidence Interval for the proportion = [ 0.216,0.334]

8 0
3 years ago
Prove that 1/log (xy)² +1/log(xy²) + log(xy³) =1 there base are x,y and z respectively.​
xeze [42]

Answer:

1/log (xy)² +1/log(xy²) + log(xy³) =1

Step-by-step explanation:

This is your equation, right? Just checking

4 0
3 years ago
Solve for x: |3x + 12| = 18
Alla [95]

Answer:

X = 2 or X = -10

Step-by-step explanation:

We know either3x+12=18or3x+12=−18

3x+12=18(Possibility 1)

3x+12−12=18−12(Subtract 12 from both sides)

3x=6

3x

3

=

6

3

(Divide both sides by 3)

x=2

3x+12=−18(Possibility 2)

3x+12−12=−18−12(Subtract 12 from both sides)

3x=−30

3x

3

=

−30

3

(Divide both sides by 3)

x=−10

Answer:

x=2 or x=−10

4 0
3 years ago
The data in the table shows the population P(x) of a particular species at time x. Determine a linear model and predict the popu
mrs_skeptik [129]

The regression equation that shows the population P(x) is given as follows:

P(x) = 3.02x + 7.81.

With the model, the prediction for the population in year 88 is of 273.

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

(0,7), (5,17), (23,84), (31, 107), (45, 143), (60, 182), (68, 217), (79, 249).

Inserting these points in the calculator, the equation is given by:

P(x) = 3.02x + 7.81.

The prediction for the population in year 88 is given by:

P(88) = 3.02(88) + 7.81 = 273.

More can be learned about line of best fit at brainly.com/question/24808124

#SPJ1

6 0
2 years ago
Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = (x2 − 1)3, [−1, 2]
Alja [10]

Given :

F(x)=3(x^2-1)

To Find :

the absolute minimum and absolute maximum values of f on the given interval

[-1,2] .

Solution :

Now , getting first order differential equation and equating its equal to zero.

\dfrac{d(3x^2-3)}{dx}=0\\\\6x=0\\x=0

So , x=0 is critical point .

Now , coefficient of x^2 is positive .

Therefore , it is increasing function after  x=0 .

So , min value will be at , x=0.

Min = (0^2-1)\times 3=-3

And maximum value will be the maximum at the x=2 because it is increasing function .

Max=(2^2-1)\times 3=9

Therefore , max and min value is 9 and -3 respectively .

Hence , this is the required solution .

3 0
3 years ago
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