To which subsets of the real numbers do the number 1.68 belong to

Answers

Answer 1

Answer: 1.68 belongs to rational numbers

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A researcher found that 55% of families in the United States have one child under the age of 21, 22% have two children under the age of 21, 15% have three children under the age of 21, 5% have 4 children under the age of 21and 3% have 5 or more children under the age of 21. If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?

Answers

Answer:

67% or 0.67

Step-by-step explanation:

Given that:

P(1 child under age 21) = 55%

P(2 children under age 21) = 22%

P(3 children under age 21) = 15%

P(4 children under age 21) = 5%

P(5 or more children under age 21) = 3%

If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?

P(1 or 3 children under age 21):

Either the selected family has 1 child under 21 years of age OR the selected family has 3 children under 21 years of age ;

P(1 child under age 21) + P(3 children under age 21)

= 55% + 15%

= 67% = 0.67

A weight is attached to to a spring that is fixed to the floor. The equation h=7cos (pi/3 t) models the height, h, in centimeters after t seconds of the weight being stretched and released. Solve for the solution of t and find the times at which the weight is first at a height of 1 cm, of 3 cm, and of 5 cm above the rest position. Round to the nearest hundreth

Answers

Answer:

$t=(3)/(\pi)\left(\cos ^(-1)(h)/(7)\right)$

Step-by-step explanation:

The given function is,

$h=7\cos \left((\pi)/(3)t\right)$

$\Rightarrow \cos \left((\pi)/(3)t\right)=(h)/(7)$

$\Rightarrow (\pi)/(3)t=\cos ^(-1)(h)/(7)$

$\Rightarrow t=(3)/(\pi)\left(\cos ^(-1)(h)/(7)\right)$

This is the solution of t.

Now we have to find t when h is 1 cm, 3 cm and 5 cm.

When h=1

$t=(3)/(\pi)\left(\cos ^(-1)(1)/(7)\right)=78.10\ s$

When h=3

$t=(3)/(\pi)\left(\cos ^(-1)(3)/(7)\right)=61.71\ s$

When h=5

$t=(3)/(\pi)\left(\cos ^(-1)(5)/(7)\right)=42.41\ s$

lets solve for t in the height equation:

h = 7 cos (pi/3 t)
cos (pi/3 t) = h/7
pi/3 t = cos^-1 (h/7)

t = (3/pi) cos^-1 (h/7)

then we substitute:

t = (3/pi) cos^-1 (1/7)
t = 78.1 s

t = (3/pi) cos^-1 (3/7)
t= 61.71

t = (3/pi) cos^-1 (5/7)
t = 42.41

those are the times in seconds respectively.

How many possible outcomes are there when flipping a coin 7 times?

Answers

It's simply 1/2 x 1/2 x 1/2 x 1/2 x 1/2 x 1/2 x 1/2 = 1/128 so there are 128 different outcomes!

For a field trip 13 students rode in cars and the rest filled three buses. How many students were in each bus if 106 students were on the trip? There were _________ students on each bus.

Answers

For the field trip, there were 31students on each bus.

How to solve the number of student on each bus

Given information:

Total number of students on the field trip: 106

13 students rode in cars.

We need to find out how many students were in each bus.

Calculate the number of students who rode in cars.

Number of students in cars = Total students - Number of students in buses

Number of students in cars = 106 - 13

Number of students in cars = 93

Determine the number of students in each bus.

Number of students in each bus = Total students in buses / Number of buses

Number of students in each bus = 93 / 3

Number of students in each bus = 31

So, there were 31 students on each bus.

Learn more about word problem

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Answer: 31

Step-by-step explanation: 106 -13 = 93

93 divided by 106 = 31

Let k = 5. What is the value of 27 – k · 2?

A.
11

B.
17

C.
24

D.
44

Answers

Given: 27-k · 2 = n

Solution: 27-5 ·2 = n
22 · 2 = n

Answer: 44 option D

Somebody answer this for me please

Answers

X // Y, Y // Z,

By inference X // Z

The third option.

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