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3 years ago

Tell whether it is possible to draw a triangle with the given side lengths. 4 cm, 4 cm, 7 cm

Mathematics

2 answers:

liubo4ka [24]3 years ago

8 0

Answer:

Given 3 sides are 4,4,7 cm. We know sum of 2 sides of triangle are greater than 3rd side. But given sides 4+4 doesn't equal 7. It's not possible to construct a triangle with the given lengths (4,4,7).

Step-by-step explanation:

U can only make a triangle with the same 3 length.

Sati [7]3 years ago

5 0

Yes it is because 4+4=8 and 8 is larger than 7

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A movie production company collects data at theaters about the paterons that buy tickets for it's movies. construct a marginal r

ser-zykov [4K]

Answer:whats your question about it

Step-by-step explanation:

5 0

3 years ago

An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you th

anastassius [24]

Answer:

0.288

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

$\mu = 17.48, \sigma = 3.25, n = 10, s = \frac{3.25}{\sqrt{10}} = 1.027740$

Find the probability that the mean printing speed of the sample is greater than 18.06 ppm.

This is 1 subtracted by the pvalue of Z when X = 18.06. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{18.06 - 17.48}{1.027740}$

$Z = 0.56$

$Z = 0.56$ has a pvalue of 0.712

1 - 0.712 = 0.288

The answer is 0.288

7 0

3 years ago

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the co

Norma-Jean [14]

Choosing the first tile:

At first, there are 7 tiles.

You are interested in choosing a 5. There is only one tile with a 5.

p(5) = 1/7

Choosing the second tile:

After the 5 has been taken, now there are 6 tiles left.

Only one tile has the number 6.

p(6) = 1/6

The overall probability of choosing a 6 after a 5 is the product of the individual probabilities:

p( 5 then 6) = 1/7 * 1/6 = 1/42

Answer: The probability of choosing a 5 and then a 6 is 1/42

7 0

3 years ago

Justin launches a rocket straight up into the air. The table below gives the height(t) of the rocket (in meters) at a few times

Papessa [141]

Using it's formula, the average rates of change are given as follows:

a) 30 meters per second.

b) -10 meters per second.

<h3>What is the average rate of change of a function?</h3>

The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u> Hence, over an interval [a,b], the rate is given by the following equation:

$r = \frac{f(b) - f(a)}{b - a}$

For item a, taking the data from the table, we have that:

f(0) = 0.

f(4.6) = 138.

Hence the rate is given as follows:

r = (138 - 0)/(4.6 - 0) = 30 meters per second.

For item b, taking the data from the table, we have that:

f(9.2) = 23.

f(11.5) = 0.

Hence the rate is given as follows:

r = (0 - 23)/(11.5 - 9.2) = -10 meters per second.

More can be learned about the average rate of change of a function at brainly.com/question/11627203

#SPJ1

3 0

1 year ago

Vita saved $72 last December. This amount represents 2/9 of the total amount she saved last year. What is the total amount Vita

GrogVix [38]

$\dfrac{2}{9} \text { of the saving} = \$72$

-----------------------------------------------
Find 1/9 :
-----------------------------------------------
$\dfrac{1}{9} \text { of the saving} = \$72 \div 2$

$\dfrac{1}{9} \text { of the saving} = \$36$

-----------------------------------------------
Find 9/9 :
-----------------------------------------------
$\dfrac{9}{9} \text { of the saving} = \$36 \times 9$

$\dfrac{9}{9} \text { of the saving} = \$324$

-----------------------------------------------
Answer: The total amount is $324.
-----------------------------------------------

7 0

3 years ago