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Rzqust [24]
3 years ago
10

Simplify by using order of operations 3x-4+20=55

Mathematics
1 answer:
Lina20 [59]3 years ago
7 0

Answer:

x= 13

Step-by-step explanation:

3x-4+20= 55

combine like terms:

3x+16= 55

subtract 16 from both sides:

3x = 39

divide 3 to both sides:

x= 13

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5-7 <-3 : what is the simplified form of the inequality below ?
Makovka662 [10]

Answer:

5<4

Step-by-step explanation:

This inequality is not correct though.

5-7+7<-3+7

5<4

7 0
3 years ago
A random sample of of 100 voters in a town is selected, and 24 are found to support an annexation suit. Find the 96% confidence
lbvjy [14]

Answer: 0.24 +/- 0.088 = (0.152, 0.328)

Step-by-step explanation:

The point estimate p is given by;

p= 24/ 100 = 0.24

Z value for 96% confidence interval is 2.05

The solution for the given confidence interval is derived using the equation

p +/- z√(pq/n)

Where p = 0.24 q= 1-p = 0.76, n=100 z= 2.05

= 0.24 +/- 2.05√(0.24×0.76/100)

= 0.24 +/- 2.05(0.0427)

=0.24 +/- 0.088

= ( 0.152, 0.328)

6 0
4 years ago
In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviatio
almond37 [142]

Answer:

0.010

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score = 63 inches

μ is the population mean = 70 inches

σ is the population standard deviation = 3 inches

For x shorter than 63 inches = x < 63

Z score = x - μ/σ

= 63 - 70/3

= -2.33333

Probability value from Z-Table:

P(x<63) = 0.0098153

Approximately to the nearest thousandth = 0.010

Therefore, the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth is 0.010.

3 0
3 years ago
Solve for x -9&lt;4x+3&lt;27 enter your answer as one inequality in the box
ludmilkaskok [199]

If a< c< b then a<c and c<b

Separate the equation into 2 separate ones and solve them:

X-9 < 4x +3

Subtract 3 from both sides:

X-12 < 4x

Subtract x from both sides:

-12< 3x

Divide both sides by 3:

X > -4

4x+3 < 27

Subtract 3 from both sides

4x < 24

Divide both sides by 4

X <6

Combine to get one inequality:

-4<x<6

6 0
3 years ago
What is the volume of this prism?
Mandarinka [93]

Answer:

144 cm^3

Step-by-step explanation:

The formula for the volume of a rectangular prism is <em>l x w x h. </em>

Here, the length is 4, the width is 4, and the height is 4.

4 x 4 x 9 =

16 x 9 =

144 cm^3

8 0
3 years ago
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