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3 years ago

PLEASE HELP

Mathematics

2 answers:

tekilochka [14]3 years ago

7 0

Answer:

PLEASE HELP

For the right triangles below, find the values of the side lengths b and c.

Round your answers to the nearest tenth.

Step-by-step explanation:

PLEASE HELP

For the right triangles below, find the values of the side lengths b and c.

Round your answers to the nearest tenth.

Damm [24]3 years ago

6 0

Answer:

b = 1.7

c = 7.1

Step-by-step explanation:

the triangle with side 'b' is a 30-60-90° Δ where the ratio of sides, respectively, are 1 : $\sqrt{3}$ : 2

to find 'b' we could set up this proportion:

b/3 = 1/ $\sqrt{3}$

cross-multiply:

b $\sqrt{3}$ = 3

b = 3 / $\sqrt{3}$

if we rationalize the denominator, this becomes (3 $\sqrt{3}$ )/3 which is $\sqrt{3}$ or 1.7

the other triangle is a 45-45-90°Δ where the ratio of the sides are 1 : 1 : $\sqrt{2}$

if the legs are 5 then the hypotenuse is 5 $\sqrt{2}$ or 7.1

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A random sample of 20 items is selected from a population. When computing a confidence interval for the population mean, what nu

kumpel [21]

Answer:

For this case since the sample size is lower than 30 , n =20<30, is not appropiate use the normal standard distribution to calculate the confidence interval for the mean, and then for this case is better use the t distribution since takes in count the correction factor to approximate the distribution of the true parameter.

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

8 0

3 years ago

Can someone give me the answer ?!?

Alex17521 [72]

Answer:

25%

Step-by-step explanation:

Probability = # of favorable outcomes / possible outcomes

favorable outcomes is what we want to happen ( throwing more than 3 pitches )

So to find the # of favorable outcomes we must find the frequency that the pitcher throws more than 3 pitches ( note: frequency of throwing 3 pitches is not included)

There are two possible outcomes of the pitcher pitching more than 3 pitches, 4 pitches having a frequency of 15, and 5 pitches which has a frequency of 10

So # of favorable outcomes = 10 + 15 = 25

Now we want to find the # of possible outcomes.

To do so we simply add the frequencies of each possible outcome.

15 + 20 + 40 + 15 + 10 = 100

So there are a total of 100 possible outcomes

Finally to find the probability of the pitcher throwing more than 3 pitches we divide favorable outcomes ( 25) by possible outcomes (100)

Our answer = 25/100 which can be converted into a percentage as 25%

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3 years ago

The figure below shows an upside-down pyramid with a square base.

vesna_86 [32]

Answer:

Step-by-step explanation:

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3 years ago

Which expression is equivalent to -3(4x-2)-2x

MatroZZZ [7]

Answer:

-14x+6

Step-by-step explanation:

-3(4x-2)-2x

-12x+6-2x

-12x-2x+6

-14x+6

4 0

3 years ago

Tia owns a fruit shop and is selling a fresh lot of apples and oranges. She wants the ratio of apples to oranges sold to be 4 to

____ [38]

Answer: 32 apples

Step-by-step explanation:

The ratio of apples to oranges sold is given as 4 to 2. Since Tia wants to sell a total of 48 apples and oranges, the number of apples that she should sell would be:

= 4/(4+2) × 48

= 4/6 × 48

= 32

Therefore, he should sell 32 apples.

7 0

3 years ago