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2 years ago

Solve for q. 22q+73 > 52q + 63

1 answer:

3 0

Hey!

Let's write the problem.
$22q+73\ \textgreater \ 52q+63$
Subtract $73$ from both sides.
$22q+73-73\ \textgreater \ 52q+63-73$
$22q\ \textgreater \ 52q-10$
Subtract $52q$ from both sides.
$22q-52q\ \textgreater \ 52q-10-52q$
$-30q\ \textgreater \ -10$
Since we don't want negative, we will multiply both sides by $-1$ .
$\left(-30q\right)\left(-1\right)\ \textless \ \left(-10\right)\left(-1\right)$
$30q\ \textless \ 10$
Divide both sides by $30$ .
$\frac{30q}{30}\ \textless \ \frac{10}{30}$

Our final answer would be,
$q\ \textless \ \frac{1}{3}$

Thanks!
-TetraFish

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2 years ago

The green shaded region does not represent the solution to the system of linear inequalities given below. Explain why not.

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Answer:

Step-by-step explanation:

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2 years ago

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2 years ago

What’s the angle it’s looking for ?

Law Incorporation [45]

Given:

m(ar KN) = 2x + 151

m(ar LN) = 61°

m∠NMK = 2x + 45

To find:

m∠NMK

Solution:

By property of circle:

<em>If a tangent and a secant intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$$\Rightarrow m\angle NMK=\frac{1}{2} (m \ ar(KN) - m\ arLN))$

$$\Rightarrow 2x+45=\frac{1}{2} (2x + 151-61)$

$$\Rightarrow 2x+45=\frac{1}{2} (2x + 90)$

Multiply by 2 on both sides, we get

$$\Rightarrow 2\times (2x+45)=2\times \frac{1}{2} (2x + 90)$

$$\Rightarrow 4x+90=2x + 90$

Subtract 90 from both sides.

$$\Rightarrow 4x+90-90=2x + 90-90$

$$\Rightarrow 4x=2x$

Subtract 2x from both sides.

$$\Rightarrow 4x-2x=2x-2x$

$$\Rightarrow 2x=0$

$$\Rightarrow x=0$

Substitute x= 0 in m∠NMK.

m∠NMK = 2x + 45

= 2(0) + 45

= 45

Therefore m∠NMK = 45.

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2 years ago

You are about to visit Jamestown in North Dakota, to see the world's largest buffalo monument. You know that it snows $25\%$ of

RideAnS [48]

Answer:

The probability that it is actually snowing in North Dakota is 17%.

Step-by-step explanation:

Note: The data in the question is not properly stated. The complete question is therefore represented to correct this as follows:

You are about to visit Jamestown in North Dakota, to see the world's largest buffalo monument. You know that it snows 25% of the time in North Dakota, and you are thinking about bringing your parka. It turns out that you have three friends who live in North Dakota, but they are not very trustworthy: Each tells the truth 2/3 of the time, and lies for the remaining 1/3. You call your three friends, and each friend tells you that it is indeed snowing in North Dakota. Given this information, what is the probability that it is actually snowing in North Dakota?

The explanation to the answer is now given as follows:

The probability that it is actually snowing in North Dakota can be calculated using the following formula:

Pa = Pr * Pt ........................... (1)

Where;

Pa = the probability that it is actually snowing in North Dakota = ?

Pr = the prior probability that it snows in North Dokota = 25%, or 0.25

Pt = Probability of saying the truth that it snows = 2/3 = 0.67

Substituting the value into equation (1), we have:

Pa = 0.25 * 0.67

Pa = 0.17, or 17%

Therefore, the probability that it is actually snowing in North Dakota is 17%.

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2 years ago