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2 years ago

Two consecutive even integers have a sum of 346. Find the smailler of these two numbers

Mathematics

2 answers:

Lana71 [14]2 years ago

6 0

Answer:

Smallest number = 172

Step-by-step explanation:

Two consecutive even integers have a sum of 346.

Let x be the smallest number.

We have other number = x + 2

We also have

x + x + 2 = 346

2x + 2 = 346

2 x = 344

x = 172

Smallest number = 172, Other number = 172 + 2 = 174

Smallest number = 172

lesantik [10]2 years ago

3 0

Assume two numbers are n and n+2

Then n+ n+2 = 346 -> 2n = 344 -> n= 172

So the smaller one is 172, another one is 174

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An inspector checks 98 cell phones and finds that 2 of them are defective. A company has 850 of these phones. How many of the co

jekas [21]

Answer:

Step-by-step explanation:

As 2 phones are defective from a group of 98 that were checked, you can determine a percentage:

2/98= 2%

This indicates that 2% of the phones are likely to be defective and because of that you can find 2% of 850:

850*2%= 17

According to this, 17 phones are likely to be defective.

3 0

2 years ago

Alaskan Salmon are fished extensively to serve in restaurants. However, there are limits to how many and the size of fish which

TEA [102]

Answer:

The salmon size is less than equal to 10.28 inches represent bottom 25% of all salmon.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12.5 inches

Standard Deviation, σ = 3.3

We are given that the distribution of salmon size is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.25

$P( X < x) = P( z < \displaystyle\frac{x - 12.5}{3.3})=0.25$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 12.5}{3.3} = -0.674\\\\x = 10.2758\approx 10.28$

Thus, the salmon size is equal to or less than 10.28 inches, they are considered small and young and represent bottom 25% of all salmon.

4 0

1 year ago

6x+7y=4x+4y6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y Complete the missing value in the solution to the equation. ((l

tia_tia [17]

Answer:

<h3>The missing value in the solution to the equation is 6.</h3><h3>So, the complete solution is (6, -4).</h3>

Step-by-step explanation:

Given:

6x+7y=4x+4y.

( ,-4)

Now, to complete the missing value in the solution to the equation.

As, the equation is:

$6x+7y=4x+4y$

And, the solution is:

$(x,y)=(\ \ ,-4)$

Now, solving the equation by putting the value of $y=-4$ :

$6x+7(-4)=4x+4(-4)\\\\6x+(-28)=4x+(-16)\\\\6x-28=4x-16\\\\$

Adding both sides by 28 we get:

$6x=4x+12$

Subtracting both sides by $4x$ we get:

$2x=12$

Dividing both sides by 2 we get:

$x=6.$

Thus, the solution to the equation is (6, -4).

Therefore, the missing value in the solution to the equation is 6.

4 0

1 year ago

The total square footage of wall space to be painted is 575 square ft. If a gallon of paint covers 250 square feet, how many qua

mars1129 [50]

5.75 quarts of paint required for the project

Explanation:

Usually one quart of paint cover 100 square feet

Since, a gallon covers 250 square feet, it means that

one gallon of paint is equal to $\frac{250}{100} =2.5$ quarts of paint.

Number of gallon required to paint 575 square feet,

$=\frac{575}{250} \\=2.3 gallons$

So, 2.3 gallons is equal to,

$=2.3*2.5\\=5.75 quarts$

Learn more:

brainly.com/question/18882920

5 0

11 months ago

The value of the coefficient of correlation ( r) a. can never be equal to the value of the coefficient of determination (r2). b.

gulaghasi [49]

Answer:

d. can be equal to the value of the coefficient of determination (r2).

True on the special case when r =1 we have that $r^2 = 1$

Step-by-step explanation:

We need to remember that the correlation coefficient is a measure to analyze the goodness of fit for a model and is given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

The determination coefficient is given by $R= r^2$

Let's analyze one by one the possible options:

a. can never be equal to the value of the coefficient of determination (r2).

False if r = 1 then $r^2 = 1$

b. is always larger than the value of the coefficient of determination (r2).

False not always if r= 1 we have that $r^2 =1$ and we don't satisfy the condition

c. is always smaller than the value of the coefficient of determination (r2).

False again if r =1 then we have $r^2 = 1$ and we don't satisfy the condition

d. can be equal to the value of the coefficient of determination (r2).

True on the special case when r =1 we have that $r^2 = 1$

7 0

1 year ago