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3 years ago

Find the solution x-2y=-26 x-y=-2

Mathematics

1 answer:

zalisa [80]3 years ago

3 0

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}x-2y=-26\\x-y=-2&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x-2y=-26\\-x+y=2\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-y=-24\qquad\text{change the signs}\\.\qquad\qquad y=24\\\\\text{Put the value of y to the second equation:}\\\\x-24=-2\qquad\text{add 24 to both sides}\\x=22$

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Find the volume of the triangular prism

gulaghasi [49]

Answer:

V = 5280 in^3

Step-by-step explanation:

The volume is found by

V = Bh where B is the area of the base and h is the height

first we need to find the area of the base

The base is the triangle

We need to find the base dimension for the triangle

34^2 = 16^2 + b^2

34^2 -16^2 = b^2

900 = b^2

30 =b

B = 1/2 bh

= 1/2 (30) *16

B =240

V = Bh

V = 240 * 22

V = 5280 in^3

3 0

3 years ago

Why is it important to include a scale when displaying a box plot?

KIM [24]

Because then it would be easier to get an answer for a problem

6 0

3 years ago

Point M is the midpoint of AB. The coordinates of point A are (−7, 1) and the coordinates of M are (−2, 2). What are the coordin

notka56 [123]

Answer:

$\huge{\boxed{\sf{ ( 3 , 3 ) }}}$

Step-by-step explanation:

Co-ordinates of point A = ( -7 , 1 )

Co-ordinates of point M = ( -2 , 2 )

Let the co-ordinates of point B be ( x , y )

A ( -7 , 1 ) $\longrightarrow$ ( x1 , y1 )

B ( x , y ) $\longrightarrow$ ( x2 , y2 )

Now,

Midpoint = $(\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

⇒ $( -2 , 2 ) = ( \frac{-7 + x}{2} , \frac{1 + y}{2} )$

Finding the value of x :

⇒ $-2 = \frac{-7 + x}{2}$

Do cross multiplication

⇒ $-4 = -7 + x$

⇒ $-7 + x = -4$

⇒ $x = -4 + 7$

⇒ $x = 3$

Now, finding the value of y

⇒ $2 = \frac{1+y}{2}$

Do cross multiplication

⇒ $4 = 1+y$

⇒ $1+y = 4$

⇒ $y = 4 - 1$

⇒ $y = 3$

Hence, The co-ordinates of point B = ( 3 , 3 )

Hope I helped!

Best regards!

~ $\text{ TheAnimeGirl}$

4 0

3 years ago

Rewrite 3/100 as the sum of unit fractions

Bingel [31]

1/100+1/100+1/100 Hope this helped! I remember taking this unit in Elementary. Good luck!

6 0

3 years ago

The body temperatures of adults are normally distributed with a mean of 98.6degrees° F and a standard deviation of 0.60degrees°

Schach [20]

Answer:

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

Step-by-step explanation:

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

Normal probability distribution:

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 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 random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$