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3 years ago

Solve the equation.5/7=10/x+2

Mathematics

2 answers:

REY [17]3 years ago

8 0

The answer is X=-70/9

skelet666 [1.2K]3 years ago

6 0

Answer:

$x=-\frac{70}{9}$

Step-by-step explanation:

Isolate the variable by doing operations to both sides of the equation.

The work is shown below:

$\frac{5}{7} =\frac{10}{x} +2\\\\\frac{5}{7} - 2=\frac{10}{x} +2 - 2\\\\-\frac{9}{7} = \frac{10}{x}\\\\ -\frac{9}{7}*x = \frac{10}{x}*x\\\\ -\frac{9}{7}x = 10\\\\ -\frac{9}{7}x * (-\frac{7}{9})= 10 * (-\frac{7}{9}) \\\\x=-\frac{70}{9}$

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Calculate the surface area of a triangular prism. It has an isosceles triangle face with a base of 4 m and a height of 3 m. The

son4ous [18]

Answer:

48 + 18√13 cm²

Step-by-step explanation:

HC = BC/2 = 4m/2 = 2 m

AC = √AH² + HC² = √9 + 4 = √13

A = 2×A(ABC) + 2×A(ACFD) + A(BCFE)

= 2×AH×BC/2 + 2×AC×CF + BC×CF

= 2×3×4/2 + 2×√13×9 + 4×9

=12 + 18√13 + 36

= 48 + 18√13 cm²

4 0

3 years ago

How do I do this!!!!!

Readme [11.4K]

The expected values of the binomial distribution are given as follows:

1. 214.

2. 21.

3. 31.

<h3>What is the binomial probability distribution?</h3>

It is the <u>probability of exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

For item 1, the parameters are:

p = 3/7, n = 500.

Hence the expected value is:

E(X) = np = 500 x 3/7 = 1500/7 = 214.

For item 2, the parameters are:

p = 0.083, n = 250.

Hence the expected value is:

E(X) = np = 250 x 0.083 = 21.

For item 3, the parameters are:

p = 1/13, n = 400.

Hence the expected value is:

E(X) = np = 400 x 1/13 = 31.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0

2 years ago

Biologists have found that the number of chirps some types of cricket make per minute depends upon the temperature this relation

Alex Ar [27]

Answer: Crickets make 172 chirps/min at 80 degrees Fahrenheit

Step-by-step explanation:

Step 1

Using the point slope formulae for Linear functions , we have that

y - y1 = m(x - x1)

where x and y are two points representing the temperature and chirps /min respectively

And

m= slope

Step 2 : Finding the slope , m

where x1=60

y1=92

x2= 75

y2=152

m= (y2-y1)/ (x2-x1)

= (152- 92)/(75-60)

=60/15 =4

Bringing down the point/slope formula and imputing the known values to find our equation to show the relationship cricket make per minute and the temperature

y - y1 = m(x - x1)

y - 92= 4(x - 60)

y - 92 = 4x -240

y = 4x - 240 + 92

y = 4x - 148

Step 3

To find the number of chirps be per minute (y) if the temperature is 80 degrees Fahrenheit( x)

y = 4(80) - 160

y = 320 - 148

y = 172 chirps/min at 80 degrees Fahrenheit

6 0

2 years ago