All categories

3 years ago

H + 7 < 5 "or" -9h < -45

Mathematics

1 answer:

Mamont248 [21]3 years ago

5 0

Step-by-step explanation:

h+7<5
h+7-7<5-7
h<-2

-9h<-45
-9h/-9<-45/-9
h<5

You might be interested in

A hamster wheel has a diameter of 8.5 in. How many inches does the hamster run in one revolution? Use 3.14 to approximate for π

Ahat [919]

As hamster wheel is circular so for revolution we will find the circumference.

Diameter of the Hamster wheel = 8.5 in

One revolution of the wheel = circumference of the wheel

Circumference = π × d

π = 3.14 and d = 8.5

So, Circumference = 3.14 × 8.5

Circumference = 26.69 in

So in one revolution the hamster wheel travels a distance of 26.69 in

7 0

4 years ago

Read 2 more answers

A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.93. Assume indepen

noname [10]

Answer:

There is a 99.99998% probability that at least one valve opens.

Step-by-step explanation:

For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 5, p = 0.93$

Calculate P(at least one valve opens).

This is $P(X \geq 1)$

Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:

$P(X = 0) + P(X \geq 1) = 1$

$P(X \geq 1) = 1 - P(X = 0)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.93)^{0}.(0.07)^{5} = 0.0000016807$

Finally

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000016807 = 0.9999983193$

There is a 99.99998% probability that at least one valve opens.

5 0

3 years ago

Read 2 more answers

Please help this is my last question

Serggg [28]

Answer:

The ratio to water to flour is 3:2

The chef will need 2 cups of water? - im not sure

The ratio to water to flour is 3:2.25 - im not sure

The chef will need 1.5 cups of flour.

3 0

3 years ago

Read 2 more answers

Last year a state university received 3,560 applications from boys,of those applications,35%were from boys who lived in other st

Aleksandr [31]

$\frac{3560}{x} = \frac{40}{100}$ 40x=356000 x= 8900 applications

you make x the number of total applications

3 0

4 years ago

2p + 3x = 680 x = 2p

svlad2 [7]

Use substitution.

2p + 3(2p) = 680
2p + 6p = 680
8p = 680
p = 85

Plug in.
x = 2p
x = 2(85)
x = 170
p = 85

3 0

3 years ago

Read 2 more answers