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S_A_V [24]
3 years ago
7

Powers of 10 with positive exponents are: less than 1 greater than 1

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

greater than 1

Step-by-step explanation:

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Assume that blood pressure readings are normally distributed with a mean of 123 and a standard deviation of 9.6. If 144 people a
Vanyuwa [196]

Answer:

The probability is 0.9938

Step-by-step explanation:

In this question, we are asked to calculate the probability that the mean blood pressure readings of a group of people is less than a certain reading.

To calculate this, we use the z score.

Mathematically;

z = (mean - value)/(standard deviation/√N)

From the question, we can identify that the mean is 125, the value is 123 , the standard deviation is 9.6 and N ( total population is 144)

Let’s plug these values;

z = (125-123)/(9.6/√144) = 2.5

Now we proceed to calculate the probability with a s score less than 2.5 using statistical tables

P(z<2.5) = 0.9938

8 0
3 years ago
Zohar is using scissors to cut a rectangle with a length of 5x - 2 and a width of 3x + 1 out of a larger piece of paper. Which
kirza4 [7]

Answer:

2*(5x - 2) + 2*(3x+1) ; Perimeter = 62 centimeters

Step-by-step explanation:

2*(5x - 2) + 2*(3x+1) = 10x - 4 + 6x + 2

                                = 16x -2

If x = 4 , then Perimeter = 16*4 - 2 = 64 - 2 = 62 cm

4 0
3 years ago
Read 2 more answers
Find the area of each sector shown (the shaded section)
mihalych1998 [28]

Answer:

The area of the sector (shaded section) is 29.51 m^{2}.

Step-by-step explanation:

Area of a sector = (θ ÷ 360) \pir^{2}

where θ is the central angle of the sector, and r is the radius of the circle.

From the diagram give, diameter of the circle is 26 m. So that;

r = \frac{diameter}{2}

 = \frac{26}{2} = 13 m

θ = 360 - (180 + 160)

  = 360 - 340

  = 20^{o}

Thus,

area of the given sector = \frac{20}{360} x \frac{22}{7} x (13)^{2}

                                        = \frac{20}{360} x x \frac{22}{7} x 169

                                         = 29.5079

The area of the sector (shaded section) is 29.51 m^{2}.

4 0
3 years ago
A ladder that is 13 meters long is leaning against a wall. The distance between the foot of the ladder and the wall is 7 meters
Maksim231197 [3]
<h2>Answer:</h2>

The equation that is used to model the length of ladder in terms of x is:

                   x^2-7x-60=0

<h2>Step-by-step explanation:</h2>

We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.

where x is the distance between the top of the ladder and the ground.

and (x-7) is the distance between the foot of the ladder and the wall.

Hence, using Pythagorean Theorem we have:

13^2=x^2+(x-7)^2\\\\i.e.\\\\169=x^2+x^2+49-14x\\\\i.e.\\\\169=2x^2-14x+49\\\\i.e.\\\\2x^2-14x+49-169=0\\\\i.e.\\\\2x^2-14x-120=0\\\\i.e.\\\\x^2-7x-60=0

                 Hence, the answer is:

                  x^2-7x-60=0

7 0
3 years ago
Read 2 more answers
Suppose U= {1, 2, 3, 4, 5, 6, 7, 8} is the universal set and P= {1, 2, 3, 4}. What is P?
Digiron [165]
Did you mean P' ? The letter P with a tick mark after it. If so, then start with set U and erase any number you find in set P

We start with 
{1,2,3,4,5,6,7,8}
and we erase the following: 1,2,3,4
since those numbers are in set P

P = {1,2,3,4}
P ' = {5, 6, 7, 8}

<span>The set P' is the complement of set P. It is, in a sense, the opposite of set P. It contains everything that P doesn't have.</span>
4 0
3 years ago
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