What is vaule of f^-1 (-4)

What is the median of 3 3 4 5 5 5 6 6 6 7 8

Zigmanuir [339]

Answer:

5

Step-by-step explanation:

The median is the middle number of the list when put in order from smallest to largest

3 3 4 5 5 5 6 6 6 7 8

There are 11 numbers so the middle number is the 6th ( 5 on the left and 5 on the right

3 3 4 5 5 5 6 6 6 7 8

7 0

3 years ago

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What additional information could be used to prove ABC MQR using SAS?

Igoryamba

Answer:

To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent.

From the diagram, it is shown that CA is congruent to RM.

From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).

This shows that the first option is correct.

From the second option, given that CB = MQ = 29 cm, then we have CA = RM, CB = MQ, but ACB is not congruent to RMQ.

Thus the second option in not correct.

From the third option, m∠Q = 56° and CB ≅ RQ, then we have CA = RM, CB = RQ, ACB = 60°, but we do not know the value of MRQ.

Thus the third option is not correct.

From the fourth option, m∠R = 60° and AB ≅ MQ, then we have CA = RM, AB = MQ, RMQ = 64°, but we do not know the value of CAB.

Thus the fourth option is not correct.

From the fifth option, AB = QR = 31 cm, then we have CA = RM, AB = QR, but we do not know the value of CAB or MRQ.

Thus, the fifth option is not correct.

Therefore, the additional information that could be used to prove ΔABC ≅ ΔMQR using SAS is m∠A = 64° and AB = MQ = 31 cm

6 0

3 years ago

There are six apples, five oranges, and one pear in John's basket. His friend takes three pieces of fruit at random without r

Lera25 [3.4K]

Answer:

<h2>There is a 9% of chances that all three selections are apples.</h2>

Step-by-step explanation:

We know that there are 6 apples, 5 oranges and 1 pear, which gives a total of 12 fruits, that's total number of possible outcomes, the denominator of the simple probability.

Now, his friend selects three fruits with three trials without replacement, that means we need to find the probability of each even and then multiply them, because they are independent events.

$P=\frac{6}{12} \times \frac{5}{11} \times \frac{4}{10}=\frac{120}{1320} \approx 0.09$

Notice that we calculated the total probability using the same expression. The important thing is that you need to decrease the number of events and the total number of outcomes at each selection, because after his friends picks one apple, he doesn't put it back in the bag.

Therefore, there is a 9% of chances that all three selections are apples.

(We multiplies the number by 100 to express it in percentage)

4 0

3 years ago

4p+2p what is the answer

Pavlova-9 [17]

Answer:

6p

Step-by-step explanation:

7 0

2 years ago

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What is the average rate of change of f(x) = −2x + 1 from x = −5 to x = 1?

Fiesta28 [93]

Average rate of change is just the slope between the 2 points
we can do this the long way or the smart way

long way, find the 2 points and find the slope between them
when x=-5, f(-5)=-2(-5)+1=10+1=11
when x=1, f(1)=-2(1)+1=-2+1=-1
so the points are (-5,11) and (1,-1)
the slope between them is (-1-11)/(1-(-5))=(-12)/(1+5)=-12/6=-2
the answer is B, -2

smart way
recognize that that is a linear equation and the slope between any 2 points will be the m in y=mx+b
f(x)=-2x+1
the slope is -2
the average rate of change is -2
answer is B. -2

8 0

3 years ago

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