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Ber [7]
3 years ago
12

Which of the following represents h (x-2) + 3

Mathematics
1 answer:
fomenos3 years ago
8 0

Answer:

A

Step-by-step explanation:

For transformation functions;

(x-2), the 2 represents horizontal shift (left or right)

if it is a positive= shift left

if it is a negative= shift right

since it is -2, the vertex of the graph is shifted right by 2 units.

For the +3 on the outside of h(x-2), this addresses the vertical shift.

Since it is +3, this means that the graph's vertex is shifted up.

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Assume that when adults with smartphones are randomly​ selected, 51​% use them in meetings or classes. If 11 adult smartphone us
Luba_88 [7]

Answer:

The probability is 0.2356.

Step-by-step explanation:

Let X is the event of using the smartphone in meetings or classes,

Given,

The probability of using the smartphone in meetings or classes, p = 51 % = 0.51,

So, the probability of not using smartphone in meetings or classes, q = 1 - p = 1 - 0.51 = 0.49,

Thus, the probability that fewer than 5 of them use their smartphones in meetings or classes.

P(X<5) = P(X=0) + P(X=1) + P(X=2) + P(X=3)+P(X=4)

Since, binomial distribution formula is,

P(x) = ^nC_r p^x q^{n-x}

Where, ^nC_r=\frac{n!}{r!(n-r)!}

Here, n = 11,

Hence,  the probability that fewer than 5 of them use their smartphones in meetings or classes

=^{11}C_0 (0.5)^0 0.49^{11}+^{11}C_1 (0.5)^1 0.49^{10}+^{11}C_2 (0.5)^2 0.49^{9}+^{11}C_3 (0.5)^3 0.49^{8}+^{11}C_4 (0.5)^4 0.49^{7}

=(0.5)^0 0.49^{11}+11(0.5)0.49^{10} + 55(0.5)^2 0.49^{9}+165 (0.5)^3 0.49^{8} +330(0.5)^4 0.49^{7}

=0.235596671797

\approx 0.2356

4 0
4 years ago
Determine the slope and the y intercept .6y+x=6 please help
wel

Answer: the slope is negative  \frac{1}{6} and the y intercept is (0,1)

Step-by-step explanation:

4 0
3 years ago
In 10 minutes, Max ran 1.45 km while Avery ran 1.61 km. How much more did<br> Avery run?
SOVA2 [1]

Answer:

0.16km

Step-by-step explanation:

Unless I am missing something it is a simple subtraction problem and the time is not needed. It is simply asking how much farther Avery ran than Max, which is 1.61km - 1.45km which is 0.16km

6 0
3 years ago
Find the inverse of the function f(x)=x-7
gulaghasi [49]

Answer:

f^{-1}(x) = x + 7

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject, that is

y = x - 7 ( add 7 to both sides )

y + 7 = x

change y back into terms of x, then

f^{-1}(x) = x + 7

6 0
3 years ago
491,852 people went to the water park in the month of July . Round this number to the nearest hundred thousand to estimate how m
Vinvika [58]
The 8 round to nearest
hundred
5 0
3 years ago
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