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pav-90 [236]
3 years ago
10

1) If x= 4.2 and y = 5, what is the value of the expression

Mathematics
1 answer:
____ [38]3 years ago
3 0

Answer:

Step-by-step explanation:

y-x=0.7

y=x+0.7, so lets plug in that into the expressions instead of y

1)

(y-x)=

x+0.7-x=

x+0.7+(-x)=

x+(-x)+0.7=

x-x+0.7=

0.7

2)

(x-(x+0.7))/((x+0.7)-x)=

(x-x+0.7)/(x+0.7-x)=

(x-x+0.7)/(x+0.7+(-x))=

(x-x+0.7)/(x+0.7+(-x))=

(x-x+0.7)/(x+(-x)+0.7)=

(x-x+0.7)/(x-x+0.7)=

0.7/0.7=

1

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Each side of a square is increased by 3 inches. The perimeter of the new square is 40 inches more than twice the length of the s
RUDIKE [14]

Length of side of new square is 17 inches

Step-by-step explanation:

  • Step 1: Let the length of the side of the old square be x. Then length of side of new square = x + 3 and Perimeter of new square = 40 + 2x

Perimeter of a square = 4 × side

⇒ 4(x + 3) = 40 + 2x

⇒ 4x + 12 = 40 + 2x

⇒ 2x = 28

⇒ x = 14 inches

  • Step 2: Find length of side of the new square

⇒ x + 3 = 17 inches

6 0
2 years ago
Slope of a line perpendicular to 5x -9y = 1
Oksana_A [137]
I think it would be y=(-9/5)x -1/9
8 0
3 years ago
8 square root 2<br><br>6 square root 18<br><br>14 square root 2<br><br>8 square root 18
True [87]
Work: 5√2 + √18
First you must find the largest perfect square in √18:
The perfect square happens to be 9
√18 => 9√2
You must then simplify 9 since it is a perfect square:
9√2 => 3√2
Then you must add both terms together:
5√2 + 3√2 = 8√2
Answer: 8√2 or 8 square root 2

I hope this helps you!
4 0
3 years ago
The mean percent of childhood asthma prevalence in 43 cities is 2.16%. A random sample of 31 of these cities is selected. What i
IceJOKER [234]

Probability that the mean childhood asthma prevalence for the sample is greater than 2.6% is 0.0357 or 3.57 %.

What is Probability ?

Probability is the measure of likelihood of an event.

For a Normal Distribution ,

the z-score formula is given by

\rm Z = \dfrac{X - \mu }{\sigma}

Here \rm \mu\\ is the mean and \rm \sigma\\ is the standard deviation .

It is the measure of the deviation of the data from its central tendency.

Each z-score has a probability value.

It is given in the question that

Mean of 2.16% =  \rm \mu\\ = 2.16

Standard deviation of 1.36% means that  \rm \sigma\\ = 1.36

For Sample of 31 the value of standard deviation is \rm s = \dfrac{\sigma}{\sqrt{n}}

s = 1.36/√31

s = 0.2442

Substituting the values

Z = (2.6 -2.16)/0.2442

Z =1.8

the p value from the graph of z and p , 0.9643

To determine value of probability  more than X is 1 - 0.9643= 0.0357

the

Probability that the mean childhood asthma prevalence for the sample is greater than 2.6% is 0.0357.

To know more about Probability

brainly.com/question/11234923

#SPJ1

6 0
2 years ago
What is an equation of the line that passes through the point (3,-3) and is perpendicular to the line 3x+2y=12 ?
Gennadij [26K]

Answer:

y=2/3x-5

Step-by-step explanation:

1. find the slope of the given line

2. find its opposite reciprocal(slope of the perpendicular line)

3. create a new linear equation using the new slope

4. substitute (3,-3) to find b

6 0
2 years ago
Read 2 more answers
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