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Marina86 [1]
3 years ago
9

Find the value of x, given cos 0 = 0.4 PLEASE HELP!!!!!! And explain if possible

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

x=30

Step-by-step explanation:

For each right-angled triangle:

\cos\theta=\frac{cathetus \ adjacent \ \theta}{hypotenuse}

Because \cos \theta=0.4, \ \ cathetus\ adjacent \ \theta \ = \ 12, \ \ \ hypotenuse=x

we have an equation

0.4=\frac{12}x

multiplying both sides by x, we get 0.4x=12

dividing both sides by 0.4 and x=\frac{12}{0.4}

using calculator, we divide 12 by 0.4

and finally x=30


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Miles is planning to spend 2/3 as many hours Bicycling this week as he did last week is Miles going to spend more hours were few
Firlakuza [10]

Answer: Yes, He bicycled fewer in this week than last week.

Step-by-step explanation:

Let he bicycled x hours in the last week,

Then, According to the question,

\text{ He bicycled in this week} = \frac{2}{3} \text{ of the hours he bicycled last week} = \frac{2x}{3}

\text{ Since, }1 > \frac{2}{3}

\implies x > \frac{2x}{3}

\text{ He bicycled in the last week} > \text{ he bicycled in this week}

Hence, He bicycled fewer in this week than last week.


3 0
3 years ago
The enrolment of our school is 800. If 35 % are girls
Anvisha [2.4K]

Answer:

a 7/20. B 13/20

Step-by-step explanation:

800 X 35% = 280

280/800=7/20

6 0
2 years ago
Read 2 more answers
Help me i need this for a review
stira [4]

Answer:

26

Step-by-step explanation:

Examples:

1 x 13 = 13

3 x 13 = 39

Second blank:

2 x 13 = 26

8 0
3 years ago
500.000.000 written in scientific notation?​
Natali [406]

\large \mathfrak{Answer : }

Scientific notation for above vLue is :

  • 5 \times 10 {}^{8}

8 0
3 years ago
nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep
Arlecino [84]

Answer:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146

P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389

And replacing we got:

P(X \geq 2) = 1-P(X

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".

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

X \sim Binom(n=30, p=0.05)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Solution to the problem

For this case we want this probability:

P(X \geq 2)

And we can use the complement rule and we got:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146

P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389

And replacing we got:

P(X \geq 2) = 1-P(X

3 0
3 years ago
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