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1 year ago

A tree farm sold a total of 380 trees.

Mathematics

1 answer:

Andre45 [30]1 year ago

3 0

Answer: 45

Step-by-step explanation: If you evaluate how much 15% of holly trees there were and the 2/5, consisting of maple trees then both of the amounts combined is, 55 then the remainder in of trees, the dogwoods, is 45

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Peter wants to cut a rectangle of size 6x7 into squares with integer sides. What is the smallest number of squares he can get

Semmy [17]

He can cut 5 squares, by making 1 4 × 4, 2 3 × 3 and 2 2 × 2 squares.

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2 years ago

Work out an estimate for square root of 4.92+2.18*7.31

Sergeeva-Olga [200]

the answer for this is 20.8558

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2 years ago

Read 2 more answers

If LO = 15x+19 and QN = 10x+2 find PN

svet-max [94.6K]

Answer:

$PN=64\ units$

Step-by-step explanation:

The complete question is

Given the quadrilateral is a rectangle, if LO = 15x+19 and QN = 10x+2 find PN

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are congruent and bisect each other

$QN=\frac{1}{2}LO$

substitute the given values

$10x+2=\frac{1}{2}(15x+19)$

solve for x

$20x+4=15x+19\\20x-15x=19-4\\5x=15\\x=3$

Find the length of PN

Remember that

$PN=LO$ ----> diagonals of rectangle are congruent

$LO=15x+19$

substitute the value of x

$LO=15(3)+19=64\ units$

therefore

$PN=64\ units$

8 0

2 years ago

QUESTION THREE (30 MARKS) 3.1 The mass of a standard loaf of white bread is, by law meant to be 700g with a population standard

kiruha [24]

Using the normal distribution and the central limit theorem, it is found that there is a 0.0284 = 2.84% probability of finding a sample mean mass of 695g or below.

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Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

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Mean of 700g means that $\mu = 700$
Standard deviation of 21g means that $\sigma = 21$
Sample of 64, thus $n = 64$
For the sampling distribution of the sample mean, the standard deviation is of $s = \frac{21}{\sqrt{64}} = \frac{21}{8} = 2.625$