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il63 [147K]
4 years ago
8

How can you solve an equation or inequality in one variable?

Mathematics
1 answer:
zimovet [89]4 years ago
4 0

In order to solve an equation for a variable, we need to isolate that variable on one side of the equation (either left side or right side).

Following are some steps to solve equation/inequality in one variable:

1) Get rid constant number from on side by applying reverse operation of addition or subtraction.

2) Get rid variable terms from other side by applying reverse operation of addition or subtraction.

3) Combine like terms on both sides.

4) Get rid any coefficent ( a number in front of a variable) by dividing from both sides.

5) Finally you get a variable on one side and solution on other side.

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The lifetime of a certain brand of battery is known to have a standard deviation of 9 hours. Suppose that a random sample of 90
Rina8888 [55]

Answer:

lower limit : 36.44

upper limit : 39.56

Step-by-step explanation:

Given :

s = 9

n = 90

x = 38.9

Alpha, α = 0.10

∴ $z_{\alpha/2}=z_{0.05} = 1.645$

The confidence interval is :

$=x \pm\left(z_{\alpha /2} \times \frac{s}{\sqrt{n}}\right)$

$=38.9 \pm\left(1.645 \times \frac{9}{\sqrt{90}}\right)$

$=38.9 \pm 1.56$

$=(36.44, 39.56)$

Therefore,

lower limit : 36.44

upper limit : 39.56

3 0
3 years ago
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Ostrovityanka [42]
X=22

Area is found by multiplying (x+7)and (2x-1) together. 22+7=29, 2(22) -1 = 43, 43+29=72
3 0
3 years ago
jose ran 40 yards in 4.567 seconds yesterday, but today he ran it in 4.239 seconds. what is his average
Fofino [41]
His average is 4.2 seconds. hope it helps
3 0
3 years ago
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Callie spins the spinner and rolls the number cube. What is the probability that she spins a five and rolls a six.The spinner ha
almond37 [142]

Answer:

1/48

Step-by-step explanation:

This is a case of joint probability, and the desired result is the product of P(spins a 5) and P(rolls a 6):  (1/8)(1/6) = 1/48.

3 0
3 years ago
Find the ratio of a:b if it is given that 5a+3b=6b<br><br> PLease show work Thanks!!
aivan3 [116]

Answer:

a:b = 3:5

Step-by-step explanation:

As a:b is required, divide both terms by b

5a:b + 3b:b = 6b:b

5a:b + 3 = 6

5a:b = 6 - 3

5a:b = 3

a:b = 3:5

4 0
3 years ago
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