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3 years ago

For males in a certain town, the systolic blood pressure is normally distributed with a

Mathematics

1 answer:

telo118 [61]3 years ago

4 0

Answer: (92, 128)

Step-by-step explanation:

According to the Empirical rule,

If the population is normallly distributed, then 95% of the population lies within 2 standard deviations from the mean.

Given: Mean = 110

Standard deviation = 9

The interval of systolic blood pressures represent the middle 95% of males:

(110-2(9), 110+2(9))

= (110-18, 110+18)

= (92, 128)

Hence, the interval of systolic blood pressures that represent the middle 95 % of males = (92, 128)

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A tour director collected $258 for 13 tour packages. tour package a costs $18 and tour package b cost $22. how many of each tour

valkas [14]

A + b = 13
22 a + 18 b = 258
------------------------
a = 13 - b
22 * ( 13 - b ) + 18 b = 258
286 - 22 b + 18 b = 258
- 4 b = 258 - 286
- 4 b = - 28
b = ( - 28 ) : ( - 8 ) = 7
a = 13 - 7 = 6
Answer:
6 tour packages a and 7 tour packages b were sold.

7 0

3 years ago

Johnny Awesome and his band is raising money to save the world. He is having a concert and charging

Andre45 [30]

Answer:

9375

Step-by-step explanation:

5 0

3 years ago

2. Flying to Kampala with a tailwind a plane averaged 158 km/h . On the return trip the plane only averaged 112 km/h while flyin

stiv31 [10]

Answer:

Speed of plane in still air = 135 km/h

Speed of wind = 23 km/h

Step-by-step explanation:

Given that:

Speed of plane with the wind = 158km/h

Speed of plane against the wind = 112km/h

Let,

x be the speed of plane

y be the speed of wind

According to given statement;

x+y = 158 Eqn 1

x-y = 112 Eqn 2

Adding Eqn 1 and 2

$x+y+x-y=158+112\\2x = 170\\\frac{2x}{2}=\frac{270}{2}\\x=135$

Putting x = 135 in Eqn 1

135+y = 158

y = 158-135

y = 23

Hence,

Speed of plane in still air = 135 km/h

Speed of wind = 23 km/h

8 0

3 years ago

Find the radius of a circle whose circumference is 216 units, use 3.14 for π. r = 34.377 r = 34.395 r = 68.790

dlinn [17]

Answer:

The value of radius is 34.395..

Step-by-step explanation:

The formula for finding the circumference of the circle is:

C=2πr.

Here we have given the values:

circumference = 216 units

π = 3.14.

r = ?

Substitute the values in the formula:

216 = 2(3.14)r

216=6.28r

Now divide both sides by 6.28.

We get,

216/6.28 = 6.28r/6.28

34.395=r

Thus the value of radius is 34.395...

7 0

3 years ago

Solve 2x2 – 6x + 10 = 0 by completing the square.

astraxan [27]

Answer: x = 6.32 or -0.32

Step-by-step explanation:

2x² - 6x + 10 = 0

No we divide the expression by 2 to make the coefficient of x² equals 1

We now have

x² - 3x + 5 = 0

Now we remove 5 to the other side of the equation

x² - 3x = -5

we add to both side square of half the coefficient of x which is 3

x² - 3x + ( ⁻³/₂)² = -5 + (⁻³/₂)²

(x - ³/₂)² = -5 + ⁹/₄

Resolve into fraction

(x - ³/₂)² = ⁻¹¹/4

Take the roots of the equation

x - ³/₂ = √¹¹/₄

x - ³/₂ = √11/₂

x = ³/₂ ± 3.32/₂

= 3+ 3.32 or 3 - 3.32

= 6.32 or - 0.32

4 0

3 years ago