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3 years ago

Evaluate −9 − (−4). 5 −5 13 −13

Mathematics

2 answers:

padilas [110]3 years ago

5 0

Answer:

$-5$

Step-by-step explanation:

We want to evaluate -9-(-4).

This is the same as $-9+4$ .

We can again rewrite this as $4-9$

Since we are subtracting a larger number from a smaller number, the result will be negative.

Therefore our expression evaluates to $-5$

The second option is correct.

elena-s [515]3 years ago

3 0

-5, because subtracting a negative is the same as adding a positive, which will bring -9 up to -5

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Find the six arithmetic means between 1 and 29.

sp2606 [1]

1, ___, ____, _____, _____, _____, ____, 29

29-1 = 28
28/7 = 4
1, 5, 9, 13, 17, 21, 25, 29

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3 years ago

Brianne's town is building a pool based on a scale drawing that is 20 centimeters by 10 centimeters and uses the scale 1 cm:250

kiruha [24]

Answer:

$A=1250m^2$

Step-by-step explanation:

From the question we are told that

Dimension of drawing

20 centimetres by 10 centimetres

Scale of drawing

1 cm:250 cm

Generally the the Main dimension of the pool is mathematically given as

$L=length\ of\ scaled\ pool*250 cm\\B=length\ of\ scaled\ pool*250 cm\\L=20*250=5000 cm=50m\\B=10*250=2500 cm=25m$

Therefore Area Aof main pool is mathematically given as

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4 0

3 years ago

- What is the complete factorization of 4x2 – 24xy + 36y2 ?

Rzqust [24]

<u>Answer: </u>

The complete factorization of $4 x^{2}-24 x y+36 y^{2}$ are 4(x-3y)(x+3y)

<u>Solution:</u>

Given Data:

$4 x^{2}-24 x y+36 y^{2}$

Take common value in all the three term.so we take 4 as common term in the above expression

$4 x^{2}-24 x y+36 y^{2}=4\left(x^{2}-6 x y+9 y^{2}\right)$

Now factorize the expression $\left(x^{2}-6 x y+9 y^{2}\right)$

Find the two numbers, whose product should be 9 and sum should be -6.

-3,-3 are the numbers which satisfy the above condition.

When we add -3-3=Sum is 6

Product of -3 $\times$ -3= 9

-3 , -3 satisfies the condition.

So the expression will become as $x^{2}-6 x y+9 y^{2}$ = $x^{2}-3 x y-3 x y+9 y^{2}$

Take the common term

x(x-3y)+3y(x-3y)

(x-3y)(x+3y)

hence the complete factorization of $4 x^{2}-24 x y+36 y^{2}$ are 4(x-3y)(x+3y)

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3 years ago

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distribute

balu736 [363]

Answer:

The area of the shaded region is 0.9082.

Step-by-step explanation:

Problems of normally distributed samples can be 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, which is the area of the shaded region, 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.

In this problem, we have that:

$\mu = 100, \sigma = 15, X = 120$