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maks197457 [2]
3 years ago
5

Given 6x + b/c = a, rearrange the equation for b, in terms of a, c, and x.

Mathematics
2 answers:
SVEN [57.7K]3 years ago
5 0

Answer:

b = c(a - 6x )

Step-by-step explanation:

Given

6x + \frac{b}{c} = a ( subtract 6x from both sides )

\frac{b}{c} = a - 6x ( multiply both sides by c to clear the fraction )

b = c(a - 6x)

qwelly [4]3 years ago
3 0
C (a - 6x)= b ...would be correct
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The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 73 minutes and a standard devi
Vesnalui [34]

Answer:

(a) X\sim N(\mu = 73, \sigma = 16)

(b) 0.7910

(c) 0.0401

(d) 0.6464

Step-by-step explanation:

Let <em>X</em> = amount of time that people spend at Grover Hot Springs.

The random variable <em>X</em> is normally distributed with a mean of 73 minutes and a standard deviation of 16 minutes.

(a)

The distribution of the random variable <em>X</em> is:

X\sim N(\mu = 73, \sigma = 16)

(b)

Compute the probability that a randomly selected person at the hot springs stays longer than 60 minutes as follows:

P(X>60)=P(\frac{X-\mu}{\sigma}>\frac{60-73}{16})\\=P(Z>-0.8125)\\=P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that a randomly selected person at the hot springs stays longer than an hour is 0.7910.

(c)

Compute the probability that a randomly selected person at the hot springs stays less than 45 minutes as follows:

P(X

*Use a <em>z</em>-table for the probability.

Thus, the probability that a randomly selected person at the hot springs stays less than 45 minutes is 0.0401.

(d)

Compute the probability that a randomly person spends between 60 and 90 minutes at the hot springs as follows:

P(60

*Use a <em>z</em>-table for the probability.

Thus, the probability that a randomly person spends between 60 and 90 minutes at the hot springs is 0.6464

6 0
3 years ago
I need the answer for this question.
Grace [21]
If the whole angle (ABC) is equal to 133, we can add angles ABD and DBC to find x.

10x+13=133
Subtract 13 from both sides to get
10x=120
Divide both sides by 10 to get that x=12

We can now plug the value of x into ABD to find its measure.
7(12)+4
Simplifies to 84+4, which is 88

So angle ABD is equal to 88 degrees.

:)
8 0
3 years ago
Where does the circumference of each kind of triangle lie? Question 1 options: Inside the triangle. Outside the triangle. On the
stiks02 [169]

Answer:

Inside the triangle - Acute Triangle

Outside the triangle - Obtuse Triangle

On the hypotenuse - Right Triangle

Step-by-step explanation:

The <u>circumcenter</u> is the point where the perpendicular bisectors of a triangle intersect.

In the special case of a right triangle, the circumcenter lies exactly at the midpoint of the hypotenuse.

The circumcenter of an acute triangle lies inside the triangle.

The circumcenter of an obtuse triangle lies outside the triangle.

4 0
3 years ago
Please help me on this it’s only two questions and so far I have a really bad grade and I need this please
pashok25 [27]

Answer:

The surface area is 1,331 square inches

Step-by-step:

Look at the attachment

7 0
3 years ago
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