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3 years ago

15

Using the graph f(x)=x^2 as a guide, describe the transformations, and then graph each function.

1 answer:

Margarita [4]3 years ago

6 0

Down refers to the movement along the y axis and left and right refer to movement along the x axis. 20. down 2, no y movement 21. 5 to the left, no y movement 22. to the right 1, no y movement 23. 4 to the left, down 3 24. to the left 2 and up 2 25. 4 to the right and down 9 26. opens up a bit wider, no x or y movement (picture it opening like a flower blooming) 27. opens downward and is very very close to the y axis 28. opened up SUPER wide, like a large shallow bowl.

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Find the indicated probability.

natka813 [3]

Answer:

C) 0.179

Step-by-step explanation:

Since the trials are independent, this is a binomial distribution:

<u>Recall:</u>

Binomial Distribution --> $P(k)={n\choose k}p^kq^{n-k}$
$P(k)$ denotes the probability of $k$ successes in $n$ independent trials
$p^k$ denotes the probability of success on each of $k$ trials
$q^{n-k}$ denotes the probability of failure on the remaining $n-k$ trials
${n\choose k}=\frac{n!}{(n-k)!k!}$ denotes all possible ways to choose $k$ things out of $n$ things

<u>Given:</u>

$n=10$
$k=4$
$p^k=0.53^4$
$q^{n-k}=(1-0.53)^{10-4}=0.47^6$
${n\choose k}={10\choose 4}=\frac{10!}{(10-4)!4!}=210$

<u>Calculate:</u>

$P(4)=(210)(0.53^4)(0.47^6)=0.1786117069\approx0.179$

Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179

7 0

2 years ago

Which two points have a undefined slope

allochka39001 [22]

Answer:

C.(-3, -3) and (-3,3)

Step-by-step explanation:

When we have a vertical line the slope is undefined.

That means the x values stay the same

C.(-3, -3) and (-3,3)

This has the same x values

m = (y2-y1)/(x2-x1)

=( 3- -3)/(-3 - -3)

(3+3)/(-3+3)

6/0

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7 0

3 years ago

Read 2 more answers

The Best Company produces two commercial products : blenders and mixers. Both products require a two step production process inv

deff fn [24]

Answer:

Maximum profit is $87 when 3 blenders and 11 mixers are produced.

Step-by-step explanation:

let blender is represented by $x_{1}$ and and mixer by $x_{2}$ .

total time to deliver parts = 24 hrs

total time to assemble = 30 hrs

time taken by each blender to deliver parts = 1 hr

time taken by each mixer to deliver parts = 2 hr

time taken by blenders in final assembling= 2 hr

time taken by mixers in final assembling = 3 hr

Each blender produced nets the firm= $7

Each mixer produced nets the firm= $6

Using this all data linear system of equation will be:

$x_{1} + 2x_{2} =24 ----- (1)\\2x_{1} + 2x_{2} = 30 ----- (2)\\$

profit function:

$z= 7x_{1} +6x_{2} --- (3)$

$from (1)\\x_{1} = 0 \implies x_{2}= 12\\x_{2}= 0 \implies x_{1}= 24\\$

Coordinate points obtained from (1) are (0,12) and (24,0)

$from (2)\\x_{1}=0 \implies x_{2}=10\\x_{2}=0 \implies x_{1}=15\\$

Coordinate points obtained from (2) are (0,10) and (15,0)

plotting these on graph

points lying in feasible region are:

A(0,0)

B(0,10)

C(3,11)

D(12,0)

substituting these points in (3) to find the maximum profit:

for A (0,0)

z = 0

for B (0,10)

z = 60

for C (3,11)

z = 87

for D (12,0)

z=84

So maximum profit is $87 when 3 blenders and 11 mixers are produced.

4 0

3 years ago

Twice a number increased my 3 times the number

Alexxandr [17]

The answer is 2n+3n.

3 0

3 years ago

a falcon can fly at a speed of 87 kilometers per hour. a goose can fly at a speed of 78 kilometers per hour. Suppose a falcon an

RoseWind [281]

Answer:

54 kilometers

Step-by-step explanation:

87x6 or 522km - 78x6km or 468 = 54

3 0

3 years ago