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densk [106]
2 years ago
6

Find the slope of the line that passes through (9, 6) and (5, 5).

Mathematics
1 answer:
Alecsey [184]2 years ago
7 0

Answer:

1/4

Step-by-step explanation:

y2-y1/x2-x1=m

6-5/9-5=1/4

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The amount of time, in minutes, that a woman must wait for a cab is uniformly distributed between zero and 12 minutes, inclusive
murzikaleks [220]

Answer:

P(X\leq x) =\frac{x-a}{b-a}, a \leq x \leq b

And using this formula we have this:

P(X

Then we can conclude that the probability that that a person waits fewer than 11 minutes is approximately 0.917

Step-by-step explanation:

Let X the random variable of interest that a woman must wait for a cab"the amount of time in minutes " and we know that the distribution for this random variable is given by:

X \sim Unif (a=0, b =12)

And we want to find the following probability:

P(X

And for this case we can use the cumulative distribution function given by:

P(X\leq x) =\frac{x-a}{b-a}, a \leq x \leq b

And using this formula we have this:

P(X

Then we can conclude that the probability that that a person waits fewer than 11 minutes is approximately 0.917

7 0
3 years ago
Pls help asap solve each inequality<br><br> 9n - 1 &lt; 10n<br><br> 5h ≤ 12 + 4h
Stella [2.4K]
Here try this answer

6 0
2 years ago
Read 2 more answers
Please help me with this problem, please
Harman [31]

Answer:

sin(x) = 5/13

cos(y) = 5/12

Therefore, sin(x) = cos(y)

Step-by-step explanation:

Trig ratios:

sin(\theta)=\dfrac{O}{H}\\\\\\cos(\theta)=\dfrac{A}{H}\\\\\\tan(\theta)=\dfrac{O}{A}

where \theta is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle

We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem a^2+b^2=c^2

(where a and b are the legs and c is the hypotenuse of a right triangle)

\implies 5^2+12^2=c"\\\\\implies 169=c^2\\\\\implies c=\sqrt{169}\\\\ \implies c=13

Now we can use the trig ratios:

\implies sin(x)=\dfrac{5}{13}

\implies cos(y)=\dfrac{5}{13}

Therefore, sin(x) = cos(y)

8 0
2 years ago
A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 2 bags of chips for $9.00. Another customer buy
stiv31 [10]

Answer: hot dog = $1.75

<u>Step-by-step explanation:</u>

Let h represent hot dogs and c represent bags of chips.

Customer 1: 4h + 2c = 9.00  →  3(4h + 2c = 9.00)  →  12h + 6c =  27.00

Customer 2: 5h + 3c = 11.75 → -2(5h + 3c = 11.75)  → <u>-10h - 6c </u>= <u>-23.50</u>

                                                                                       2h        =    3.50

                                                                                   <u>   ÷2        </u>    <u>   ÷2    </u>

                                                                                        h        =    1.75


7 0
3 years ago
PLEASE HELP!!!! IM SOO CONFUSED
dangina [55]

Answer:

4. 480.38m² 6. 3.35

Step-by-step explanation:

Assuming you're looking for the area of the shaded region, you must first be aware that the entire circle has a 360 angle.

From there. for no. 4:

You subtract 87 from 360 to find the angle of the major arc.

360-87=273

From there you must also know the formula to find the area of a sector which is:

(x/360)×pi×r²

In our case 273 is x and 14.2 is r so

(273/360)×pi×14.2²= 480.38

Do the same steps to find 6

5 0
2 years ago
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