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N76 [4]
3 years ago
11

Given that (1,4) is on the graph f(x), find the corresponding points of a function 1/4f(x)

Mathematics
1 answer:
Vikki [24]3 years ago
7 0

Answer:

(1,1)

Step-by-step explanation:

In the equation f(x), you are plugging in the x coordinate which in this case is one. That means in 1/4f(x), x will remain the same, because you are still plugging in the same thing. What will change is the y coordinate. 1/4f(x) is saying that the y coordinate will be a fourth of the original y coordinate(4). 4 times 1/4 is equal to one.

If the x coordinate stays the same, and the y coordinate is a fourth of 4, the corresponding points in the function f(x) will be (1,1)

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ABCD is a rectangle. Find the length of segment AC
Oksana_A [137]

Answer:

52

Step-by-step explanation:

First, find x. As BE and DE will have the same measurements, you can set your formula up as

5x+11=3x+17

5x=3x+17-11

5x-2x=6

2x=6

x=6/2

x=3

CE and AE will also have the same value, now substitute 3 in place of x to get the value of segment BE

5x+11

5*3+11 = 26

This also means that CE = 26 and AE = 26

AC = CE + AE

AC = 52

4 0
3 years ago
The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed.
bearhunter [10]

Answer:

Kindly check explanation

Step-by-step explanation:

H0 : μ = 5500

H1 : μ > 5500

The test statistic assume normal distribution :

Test statistic :

(Xbar - μ) ÷ s/sqrt(n)

(5625.1 - 5500) ÷ 226.1/sqrt(15) = 2.1429 = 2.143

Pvalue from test statistic :

The Pvalue obtained using the calculator at df = 15 - 1 = 14 is 0.025083

α = 0.05

Since ;

Pvalue < α

0.025083 < 0.05 ; Reject H0

The confidence interval :

Xbar ± Tcritical * s/sqrt(n)

Tcritical at 95% = 1.761 ;

margin of error = 1.761 * 226.1/sqrt(15) = 102.805

Lower boundary : (5625.1 - 102.805) = 5522.295

(5522.295 ; ∞)

The hypothesized mean does not occur within the constructed confidence boundary. HENCE, there is significant eveidbce to support the claim that the true mean life of a biomedical device is greater than 5500

4 0
3 years ago
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Alexxx [7]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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katen-ka-za [31]

Answer:

480

Step-by-step explanation:

(16x10x8) divided by 2 = 480

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10 points Mrs. Daniels is going to visit her grandchildren in Mexico over her summer vacation. She will be gone for one month an
kodGreya [7K]

Answer:

june 4

Step-by-step explanation:

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3 years ago
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