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3 years ago

What is the solution to this equation x-15=8

Mathematics

2 answers:

loris [4]3 years ago

8 0

Answer,

Explanation,

Add 15 to both sides

x - 15 + 15 = 8 + 15

Hope this helps :-)

Ostrovityanka [42]3 years ago

7 0

X=23 hope that helps

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The shuttle bus from your parking lot and your office building operates on a 15 minute schedule. You arrive at the parking lot a

mylen [45]

Answer:

(a) The standard deviation of your waiting time is 4.33 minutes.

(b) The probability that you will have to wait more than 2 standard deviations is 0.4227.

Step-by-step explanation:

Let X = the waiting time for the bus at the parking lot.

The random variable X is uniformly distributed with parameters a = 0 to b = 15.

The probability density function of X is given as follows:

$f_{X}(x)=\frac{1}{b-a};\ a$

(a)

The standard deviation of a Uniformly distributed random variable is given by:

$SD=\sqrt{\frac{(b-a)^{2}}{12}}$

Compute the standard deviation of the random variable X as follows:

$SD=\sqrt{\frac{(b-a)^{2}}{12}}$

$=\sqrt{\frac{(15-0)^{2}}{12}}$

$=\sqrt{\frac{225}{12}}$

$=\sqrt{18.75}\\=4.33$

Thus, the standard deviation of your waiting time is 4.33 minutes.

(b)

The value representing 2 standard deviations is:

$X=2\times SD=2\times4.33=8.66$

Compute the value of P (X > 8.66) as follows:

$P(X>8.66)=\int\limits^{10}_{8.66} {\frac{1}{15-0}}\, dx\\$

$=\frac{1}{15}\times \int\limits^{10}_{8.66} {1}\, dx\\$

$=\frac{1}{15}\times |x|^{15}_{8.66}\\$

$=\frac{15-8.66}{15}\\$

$=0.4227$

Thus, the probability that you will have to wait more than 2 standard deviations is 0.4227.

4 0

3 years ago

Find m angle PMA +m angle CMT. . . . The last option: D. 84

Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

m∠CMT=101-54=47

m∠PMA=37, So

m∠PMA+m∠CMT=47+37=84

8 0

3 years ago

A 48-fluid-ounce container of orange juice cost $2.40. A 60-fluid-ounce container of orange juice costs $3.60. Which is the bett

Talja [164]

The 48 fluid ounce container for sure. The 48 fluid ounce is .05 cents per ounce while the 60 is .06 cents per ounce.

8 0

3 years ago

Can someone please help? Thank you :)

Rudik [331]

The value of x is 8.

Solution:

Given $\triangle V D G \sim \triangle V N Q$ .

DG = 60, NQ = 48, DN = 15, NV = x + 4

To find the value of x:

Property of similar triangle:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

$$\Rightarrow\frac{DG}{NQ} =\frac{DN}{NV}$

$$\Rightarrow\frac{60}{48} =\frac{15}{x+4}$

Do cross multiplication.

$$\Rightarrow60(x+4)=15\times48$

$$\Rightarrow60x+240=720$

Subtract 240 from both side of the equation.

$$\Rightarrow60x+240-240=720-240$

$$\Rightarrow60x=480$

Divide by 60 on both sides of the equation.

$$\Rightarrow\frac{60x}{60} =\frac{480}{60}$

$$\Rightarrow x=8$

Hence the value of x is 8.

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3 years ago

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Alexeev081 [22]

Figure A has the largest shaded figure because the 4 parts that aren’t covered are less than the other multiple parts of other figures.

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3 years ago