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2 years ago

Find x and round to nearest tenth

Mathematics

1 answer:

Lesechka [4]2 years ago

8 0

Answer:

x=13.5

Step-by-step explanation:

Using the formula:

Sin theta=opposite/hypotenuse

Where theta=57 degrees

opposite =10.8

hypotenuse =x

Sin57=10.8/x

Xsin57=10.8

x=10.8/sin57

x=10.8/0.8

x=13.5

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The level of a lake was 8 inches below normal. It decreased 1

solmaris [256]

Answer:

$-9\dfrac{5}{8}$ inches.

Step-by-step explanation:

The level of a lake was 8 inches below normal.

Now, it is given that the water level decreases $1\dfrac{1}{4} = 1.25$ inches in June and $2\dfrac{3}{8} =2.375$ inches more in July.

Therefore, the new level of water with respect to the normal level will be

= - 8 - 1.25 - 2.375

= - 9.625 inches

= $-9\dfrac{5}{8}$ inches. (Answer)

4 0

2 years ago

What is the answer to |x+6| =0

siniylev [52]

Here is how to do this problem:

|x+6| =0

x + 6 = 0

-6 -6

x = -6

5 0

3 years ago

A DJ has a total of 1075 dance, rock, and country songs on her system. The dance selection is three times the size of the rock s

adoni [48]

$D+R+C=1075\\D=3R\\C=R+105\\\\(3R)+R+(R+105)=1075\\5R=970\\R=194\\\\D=3(194)=\\D=582\\\\C=(196)+105=\\C=301$

582 dance songs.
194 rock songs.
301 country songs.

5 0

2 years ago

The Magazine Mass Marketing Company has received 1515 entries in its latest sweepstakes. They know that the probability of recei

wariber [46]

Answer:

$P(x < 5)=P(X=0)+P(X=1)+P(X=2)+P(x=3)+P(X=4)$

$P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305$

$P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000458$

$P(X=2)=(15C2)(0.5)^2 (1-0.5)^{15-2}=0.0032$

$P(X=3)=(15C3)(0.5)^3 (1-0.5)^{15-3}=0.0139$

$P(X=4)=(15C4)(0.5)^4 (1-0.5)^{15-4}=0.0417$

And adding we got:

$P(x < 5)=0.0592$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.5)$