-9=x-41 Solve that using the opposite operation

A leaking pond loses 20 gallons of water in 49 hours. How many gallons of water will it lose in 5 hours? Round to one decimal pl

White raven [17]

Answer:

12.25

Explanation

49/20 (which is the same as (49÷20)) =2.45

Multiply 2.45 by the amount of hours (5)

$2.45 \times 5 = 12.25$

=12.25

5 0

3 years ago

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Fraction form or decimal form! PLEASE HELP

joja [24]

Answer:

x = undefined

Step-by-step explanation:

Because you have an x and then remove the x the it is not pssible to tell what x was with the given information causing it to be undefined.

3 0

3 years ago

A research study uses 800 men under the age of 55. Suppose that 30% carry a marker on the male chromosome that indicates an incr

ss7ja [257]

Answer:

a) There is a 12.11% probability that exactly 1 man has the marker.

b) There is a 85.07% probability that more than 1 has the marker.

Step-by-step explanation:

There are only two possible outcomes: Either the men has the chromosome, or he hasn't. So we use the binomial probability distribution.

Binomial probability

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

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

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 $\pi$ is the probability of X happening.

In this problem, we have that:

30% carry a marker on the male chromosome that indicates an increased risk for high blood pressure, so $\pi = 0.30$

(a) If 10 men are selected randomly and tested for the marker, what is the probability that exactly 1 man has the marker?

10 men, so $n = 10$

We want to find P(X = 1). So:

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

$P(X = 1) = C_{10,1}.(0.30)^{1}.(0.7)^{9} = 0.1211$

There is a 12.11% probability that exactly 1 man has the marker.

(b) If 10 men are selected randomly and tested for the marker, what is the probability that more than 1 has the marker?

That is $P(X > 1)$

We have that:

$P(X \leq 1) + P(X > 1) = 1$

$P(X > 1) = 1 - P(X \leq 1)$

We also have that:

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

$P(X = 0) = C_{10,0}.(0.30)^{0}.(0.7)^{10} = 0.0282$

So

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0282 + 0.1211 = 0.1493$

Finally

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.1493 = 0.8507$

There is a 85.07% probability that more than 1 has the marker.

3 0

3 years ago

If the product of two positive consecutive odd integers is 63, what’s the larger number ?

myrzilka [38]

For this case we have:

$x$ : Let the variable representing the first odd number

$x + 2$ : Let the variable representing the consecutive odd number at x.

According to the statement we have:

$x (x + 2) = 63\\x ^ 2 + 2x = 63\\x ^ 2 + 2x-63 = 0$

We found the solution by factoring:

We look for two numbers that, when multiplied, result in -63 and when added, result in 2. These numbers are +9 and -7.

$9-7 = 2\\9 * (-7) = -63$

Thus, we have:

$(x + 9) (x-7) = 0$

Therefore the solutions are:

$x_ {1} = - 9\\x_ {2} = 7$

We choose the positive value, so we have:

$x = 7\\x + 2 = 7 + 2 = 9$

Answer:

The largest number is 9

4 0

3 years ago

A roast beef sandwich cost $6.75. A customer buys multiple sandwiches. Write and equation using x to represent the number of san

GREYUIT [131]

Answer:

y = 6.75x

Step-by-step explanation:

4 0

3 years ago

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