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2 years ago

Solve -x > 8 or -x < 4.

Mathematics

1 answer:

nevsk [136]2 years ago

5 0

Answer:

x<−8 or x>−4

Step-by-step explanation:

−x>8 or −x<4

We know either −x>8 or −x<4

−x>8(Possibility 1)

−x

−1

(Divide both sides by -1)

x<−8

−x<4(Possibility 2)

−x

−1

(Divide both sides by -1)

x>−4

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A toll collector on a highway receives $8 for trucks and $7 for cars. At the end of a 33-hour period, she collected $296. H

frosja888 [35]

Answer:

The required list is: 0 car and 37 truck; 8 car and 30 truck; 16 car and 23 truck; 24 car and 16 truck; 32 car and 9 truck;

Step-by-step explanation:

Consider the provided information.

A toll collector on a highway receives $8 for trucks and $7 for cars, at the end she collected $296.

Let t represents the number of trucks and c represents the number of cars pass through highway.

$8t+7c=296$

$8t=296-7c$

$t=37-\frac{7c}{8}$

The number of trucks should be natural number.

Substitute c=0 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(0)}{8}$

$t=37$

Substitute c=8 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(8)}{8}$

$t=37-7$

$t=30$

Substitute c=16 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(16)}{8}$

$t=37-14$

$t=23$

Substitute c=24 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(24)}{8}$

$t=37-21$

$t=16$

Substitute c=32 in $t=37-\frac{7c}{8}$

$t=37-\frac{7(32)}{8}$

$t=37-28$

$t=9$

Hence, the required list is: 0 car and 37 truck; 8 car and 30 truck; 16 car and 23 truck; 24 car and 16 truck; 32 car and 9 truck;

8 0

3 years ago

Suppose you purchase a bundle of 18 bare-root broccoli plants. The sales clerk tells you that on average you can expect 8% of th

neonofarm [45]

Answer:

There is a 57.18% probability that you will lose at most 1 of the broccoli plants.

Step-by-step explanation:

For each plant, there are only two possible outcomes. Either they die, or they do not. This means that we can solve this problem using the binomial probability distribution.

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

There are 18 plants, so $n = 18$ .

8% of the plants die before producing any broccoli. So $p = 0.08$ .

Use the binomial formula to find the probability that you will lose at most 1 of the broccoli plants.

This is

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

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

$P(X = 0) = C_{18,0}.(0.08)^{0}.(0.92)^{18} = 0.2229$

$P(X = 1) = C_{18,1}.(0.08)^{1}.(0.92)^{17} = 0.3489$

$P = P(X = 0) + P(X = 1) = 0.2229 + 0.3489 = 0.5718$

There is a 57.18% probability that you will lose at most 1 of the broccoli plants.

7 0

3 years ago

Write an exponential function to model the following situation

Dominik [7]

Answer:

$y = 140000(1.04)^{x}$ ; 262 000

Step-by-step explanation:

The general formula for an exponential function is

$y = a(b)^{x}$

a = 140 000; b = 1.04; x = 16

$y = 140000(1.04)^{x}$

y = 140 000(1.04)¹⁶

y = 140 000 × 1.873

y = 262 000

The graph below shows the population growth over time.

7 0

3 years ago

A child weighing 59 lb has a bad infection and is to be given Cefaclor.

cricket20 [7]

Answer:

Step-by-step explanation:

59:2,2=26,81

15*26,81:250=1,6086

6 0

2 years ago

A flight averages 460 mph. The return flight averages 500 mph due to tailwind. The total flying time is 4.8 hours how long is ea

Nesterboy [21]

We know that time is distance over velocity, that is:

time = distance / velocity

t = d / v

Now from the given:

d / 460 + d / 500 = 4.8

Now we can find for d:

d = 4.8 / [1/460 + 1/500]

d = 1150 miles

So the time of each flight is:

flight = 1150 / 460 = 2.5 hours

<span>return flight = 1150 / 500 = 2.3 hours</span>

8 0

3 years ago

Read 2 more answers