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2 years ago

5/4 (x-2)+2x-4=9 I need help with this please

2 answers:

4 0

1) distribute the 5/4 and subtract 9 from both sides

5/4x-5/2+2x-4-9=0

2)add/subtract common variables

3.25x-15.5=0

3) move the 15.5 to the other side

3.25x=15.5

4) divide both sides by 3.25 and you have x

x=4.77

marissa [1.9K]2 years ago

3 0

$\dfrac 54 (x-2) +2x -4 = 9\\\\\implies \dfrac{5x-10}{4} +2x = 9 +4 \\\\\\\implies \dfrac{5x -10 + 8x}4 = 13\\\\\implies 13x -10 = 13 \times 4 =52\\\\\implies 13x = 52 +10 = 62\\\\\implies x = \dfrac{62}{13}$

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The roots of a quadratic equation are 4 and -5. Which quadratic equation has these roots?

Y_Kistochka [10]

Answer:

(x-4)(x+5) or x^2+x-20

Step-by-step explanation:

If a root of the function is 4, (meaning that when y=0, x=4) it can be rewritten as x-4.

The same goes for if a root is -5. it will simplify to x+5.

These are called factors of a quadratic equation.

Put together, they look like (x-4)(x+5). Using the FOIL method, that can be simplified to x^2+x-20

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2 years ago

A drawer contains a dozen each of red, blue, green, and white socks, all unmatched. Laura takes socks out at random in the dark.

iren2701 [21]

Answer:

Step-by-step explanation:

The probability of picking out a certain colour = 12/48 = 1/4

So, this means that every 4 socks you pick out you can be sure of having one of each colour. If you need to find a pair, then you pick out 8.

Hope this helps

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3 years ago

Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose Zdenote the number of

Lemur [1.5K]

Answer:

a) $P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)$

$P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)$

And we can find this probability like this:

$P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728$

b) $P(X \leq 30)= P(X$

And using the z score we got:

$P(X$

c) $P(X$

And if we use the continuity correction we got:

$P(X$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(25,5)$

Where $\mu=25$ and $\sigma=5$

Part a

For this case we want to find this probability:

$P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)$

And if we use the z score given by:

$z =\frac{x-\mu}{\sigma}$

We got this:

$P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)$

And we can find this probability like this:

$P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728$

Part b

For this case we want this probability:

$P(X \leq 30)$

And if we use the continuity correction we got:

$P(X \leq 30)= P(X$

And using the z score we got:

$P(X$

Part c

For this case we want this probability:

$P(X$

And if we use the continuity correction we got:

$P(X$

3 0

3 years ago

Simplify the following expression.

adoni [48]

$$ 12 - 5[(4 + 2)\div\2 - (22 + 10)]= 157 $$
238 this answer

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3 years ago

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Allison was looking at a map with the following scale indicator. 2 inches = 6 miles

xeze [42]

answer: 9

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2 years ago

Read 2 more answers