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3 years ago

State the operation used to solve the following equation X -7 equals 15

Mathematics

1 answer:

Stells [14]3 years ago

4 0

Answer:

x = 22

Step-by-step explanation:

The x Is a number that is greater than the 15.

so you add the 7 and the 15 which gives you 22

22-7 equals 15

Hope this helps

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The pulse rates of 174 randomly selected adult males vary from a low of 39 bpm to a high of 111 bpm. Find the minimum sample siz

Daniel [21]

Answer:

a. The sample size is approximately 97 adults

Step-by-step explanation:

The given parameters are;

The number of adults surveyed, n = 174

The lowest value of the pulse rate = 39 bpm

The highest value of the pulse rate = 111 bpm

The level of confidence used for determining the sample size = 90%

The given sample mean = 3 pm of the population mean

a. The range rule of thumb states that the standard deviation is approximately one quarter (1/4) of the range

The range = 111 bpm - 39 bpm = 72 bpm

Therefore, the standard deviation, σ = 72 bpm/4 = 18 bpm

The sample size, 'N', is given as follows;

$N = \dfrac{z^2 \cdot p \cdot q}{e^2}$

Where;

N = The sample size

z = The confidence level, 90% (z-score at 90% = 1.645)

p·q = σ² = 18² = 324

e² = 3² = 9

$N = \dfrac{1.645^2 \times 324}{3^2} = 97.4169$

Therefore the appropriate sample size, N ≈ 97 adults.

8 0

3 years ago

one positive number is 28 less than another number. if the reciprocal of the smaller number is added to four times the reciproca

marishachu [46]

Let x represent the larger number.
1/(x -28) +4/x = 1/6
Multiplying by the product of denominators, we have
6x +24(x -28) = x(x -28)
In standard form, this is
x^2 -58x +672 = 0
(x -42)(x -16) = 0

The two numbers are (-12 and 16) or (14 and 42).

7 0

4 years ago

What is the solution to the system of equations represented by the two equations?

FinnZ [79.3K]

Make the two equations equal together and solve for x
(x/3) = -2x+7
multiple both sides by 3
x=-6x+21
solve for x
7x=21
x=3.
now plug in 3 into one of the equation to find your y value.
y=-2(3)+7
y=1
write your answer as a coordinate; (3,1)

4 0

4 years ago

A jogger goes half a mile north and then turns west. If the jogger finishes 1.3 miles away from the starting point, how far west

Ratling [72]

In order to solve this problem, you must draw a right triangle first to help you visualize the path of the jogger.
You are given 0.5 miles north (which will be the height of the right triangle), and 1.3 miles (which will be the hypotenuse of the triangle).
Using Pythagorean Theorem: a²+b²=c², we have:
0.5² + b² = 1.3²
b = 1.3²-0.5²
b = 1.2 miles

3 0

3 years ago

If the ratio of the length to perimeter is 5:16 what is the area of the rectangle

salantis [7]

The area is 15
Multiply the length by 2
5(2)
Subtract the length from the perimeter
16-10
Divide the remainder by 2 to find the width
6/2
The width is 3
Length times width equals area
3(5)=15

8 0

3 years ago

State the operation used to solve the following equation X -7 equals 15￼￼

State the operation used to solve the following equation X -7 equals 15