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irga5000 [103]
3 years ago
13

What is g(h(10))? (images)

Mathematics
2 answers:
dsp733 years ago
7 0

Answer:

\sqrt{8}

Step-by-step explanation:

Here,

h ( 10 ) = 12

g(12) = √8

Juli2301 [7.4K]3 years ago
7 0

Answer:

2 sqrt(2)

Step-by-step explanation:

h(x) = 2x-8

g(x) = sqrt( x-4)

g(h(10))

First find h(10)

h(10) = 2*10 -8 = 20-8 =12

Then find g(h(10) = g(12) = sqrt( 12-4)

                                = sqrt(8) = sqrt(4*2) = sqrt(4) sqrt(2) = 2 sqrt(2)

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You order seventeen burritos to go from a Mexican restaurant, seven with hot peppers and ten without. However, the restaurant fo
Kisachek [45]

Answer:

P=0.369

Step-by-step explanation:

In this binomial probability case, the success is to pick a burrito with hot peppers, there are 7 out of 17, the probability is p=7/17=0.4118. The formula is

P=_nC_kp^k(1-p)^{n-k}

Where n is the number of burritos taken at random, k is the number of success (burrito with hot peppers), p is the probability of success. _nC_k denotes the number of combinations and its formula is:

_nC_k=\frac{n!}{k!(n-k)!}

At least two burritos have hot peppers means having two or three burritos, these two cases are calculated and sum to get the probability of at least two burritos that have hot peppers.

P=_nC_kp^k(1-p)^{n-k}=\frac{n!}{k!(n-k)!}p^k(1-p)^{n-k}

P_2=\frac{3!}{2!(3-2)!}(0.4118)^2(1-0.4118)^{3-2}=\frac{3\times2!}{2!1!} (0.1696)(0.5882)^1\\P_2=3 (0.1696)(0.5882)=0.2993

P_2=\frac{3!}{3!(3-3)!}(0.4118)^3(1-0.4118)^{3-3}=\frac{1}{0!} (0.0698)(0.5882)^0\\P_2=1 (0.0698)(1)=0.0698

P=P_2+P_3=0.2993+0.0698=0.3691

Round to three decimal places: P=0.369

7 0
4 years ago
A line goes through points (0, 3) and (6, 12). What would be the slope of this line's perpendicular bisector?
Leto [7]

Answer:

the slope of the perpendicular bisector is -2/3

Step-by-step explanation:

The slope of the line joining the two points P1(0,3), P2(6,12) is given by

m1 = (y2-y1) / (x2-x1) = (12-3) / (6-0) = 9/6 = 1.5

The slope m2 of a line perpendicular to the previous line is given by

m1*m2 = -1

solving

m2 = -1/m1 = -1/ (3/2) = -2/3

THerefore the slope of the perpendicular bisector is -2/3

3 0
3 years ago
Which expressions are equivalent to the one below? Check all that apply.
olganol [36]
E (5•x)3 B 53x hope that helps
5 0
3 years ago
Bella makes 10 ropes in 1/4 an hour. How many ropes can she make in 2 hours?<br> show work plz
avanturin [10]

Answer:

80 ropes in 2 hours

Step-by-step explanation:

If she makes 10 ropes in 1/4 of an hour, she will make 40 ropes in one whole hour because an hour divided by four would mean that you need to times 10 by four. For the second hour you add another 40 because 40 is the value for one hour and you need to know how many ropes in two hours. :) really hope this helps

8 0
3 years ago
Which of the following represents a weak positive correlation?
olganol [36]

Answer:

0.2

Step-by-step explanation:

When the correlation coefficient is zero then it means that there exists no correlation.The quantity +0.2 is close to zero and  it shows that there is weak correlation and also the quantity has plus sign so, it depicts weak positive correlation. The weak positive correlation indicates that due to increase in one variable the other variable slightly increases and vice versa.

8 0
4 years ago
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