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2 years ago

100 POINTS PLUS BRAINILY

Mathematics

2 answers:

Gennadij [26K]2 years ago

8 0

Answer:

$\sf adjacent = 4.5 \ ft$

Explanation:

$\sf tan(x) = \dfrac{opposite}{adjacent}$

$\sf tan(71) = \dfrac{13}{adjacent}$

$\sf adjacent = \dfrac{13}{tan(71)}$

$\sf adjacent = 4.5 \ ft$

nata0808 [166]2 years ago

8 0

Perpendicular=P=13
Base=?

Let base be B

$\\ \rm\hookrightarrow tan\theta=\dfrac{Perpendicular}{Base}$

$\\ \rm\hookrightarrow tan71=\dfrac{13}{B}$

$\\ \rm\hookrightarrow B=13/2.9$

$\\ \rm\hookrightarrow B=4.48ft$

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A fair coin is tossed three times and is tails each time. What is the probability that the next toss will be

Sergio [31]

The probability that the next toss will be heads is 1/8.

<h3>What is probability?</h3>

The likelihood of an event occurring is described by probability. We frequently have to make forecasts about the future in real life. We may or may not be aware of the outcome of an event. When this happens, we declare that there is a chance the event will take place.

Using the probability formula, one can determine the likelihood of an event by dividing the favorable number of possibilities by the total number of options. Since the favorable number of outcomes can never be greater than the entire number of outcomes, the probability of an event happening can range from 0 to 1.

Probability of getting two tails and next heads in three tosses is,

=1/2*1/2*1/2

=1/8

Learn more about probability here:

brainly.com/question/24756209

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4 0

2 years ago

A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the

Rasek [7]

Answer:

$\mu_{p} = p = 0.06$

And the standard error is given by:

$SE_{p} = \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And replacing we got:

$SE_[p]= \sqrt{\frac{0.06*(1-0.06)}{373}}= 0.0123$

And we want to find this probability:

$P(\hat p < 0.03)$

We can calculate the z score for this case and we got:

$z = \frac{\hat p -\mu_p}{\Se_p} = \frac{0.03-0.06}{0.0123}= -2.440$

And using the normal distribution table or excel we got:

$P(\hat p < 0.03)= P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

For this case we can find the mean and standard error for the sample proportion with these formulas:

$\mu_{p} = p = 0.06$

And the standard error is given by:

$SE_{p} = \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And replacing we got:

$SE_[p]= \sqrt{\frac{0.06*(1-0.06)}{373}}= 0.0123$

And we want to find this probability:

$P(\hat p < 0.03)$

We can calculate the z score for this case and we got:

$z = \frac{\hat p -\mu_p}{\SE_p} = \frac{0.03-0.06}{0.0123}= -2.440$

And using the normal distribution table or excel we got:

$P(\hat p < 0.03)= P(Z$

8 0

4 years ago

I need help nowww!! 16 points

Setler [38]

Answer:

A: x = 0

B: x = All real numbers

Step-by-step explanation:

Any number to the power of (0) equals one. This applies true for the given situation; one is given an expression which is as follows;

$(6^2)^x=1$

Simplifying that will result in;

$36^x=1$

As stated above, any number to the power of (0) equals (1), thus (x) must equal (0) for this equation to hold true.

$36^0=1\\x=0$

As stated in part (A), any number to the power (0) equals (1). Therefore, when given the following expression;

$(6^0)^x=1$

One can simplify that;

$1^x=1$

However, (1) to any degree still equals (1). Thus, (x) can be any value, and the equation will still hold true.

$x=All\ real \ numbers$

8 0

3 years ago

N circle C, r = 32 units. What is the area of circle C?

charle [14.2K]

The answer is: " 1024π units² " ; or; " 3215.36 units² " .
______________________________________________________
A = π * r² ;

A = π * 32² = 1024 π units² ;

or, using "3.14" for "π" ;

1024 * π = 1024 * (3.14) = 3215.36 units² .
_______________________________________________

8 0

3 years ago

If cost price of a product is rs. 53 and the loss on its sale is rs. 6, what is its selling price?

prohojiy [21]

Answer:

₹47

Step-by-step explanation:

The relation between cost price, selling price, and profit is ...

profit = selling price - cost price

A loss is a negative profit.

Using the given values in the formula, we find ...

-6 = selling price - 53

47 = selling price . . . . . . . add 53 to both sides

The selling price of the product is ₹47.

3 0

2 years ago