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3 years ago

If y = x2 + 2x , find the value of y when x = 5

Mathematics

1 answer:

Arturiano [62]3 years ago

8 0

Answer:

Step-by-step explanation:

Okay so you are gonna substitute x for 5 so the equations will look like y= (5)2+(5)2

So 10+10 = 20

So y=20

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Kaitlin is on a long car trip. Everytime she stops for gas she loses 15 minutes of travel time. If she has to stop fives times h

Nastasia [14]

She will be 75 minutes late because you take the 15 minutes per stop and multiply it by the five stops.

7 0

3 years ago

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A shade of green paint is made by mixing blue paint and yellow paint in the ratio of 4 to 3. How many pints of blue paint and ye

nexus9112 [7]

Answer:

$Blue = 12$

$Yellow = 9$

Step-by-step explanation:

Given

$Blue : Yellow = 4 : 3$

Required

Determine the number of pints of each to make 21 of green paints

First, calculate the total ratio.

$Total = 4 + 3$

$Total = 7$

The blue and the yellow pint can be represented individually as:

$Blue = \frac{4}{7} * Green$

$Yellow = \frac{3}{7} * Green$

Number of blue paint calculated last week is:

$Blue = \frac{4}{7} * 21$

$Blue = {4} * 3$

$Blue = 12$

$Yellow = \frac{3}{7} * Green$

$Yellow = \frac{3}{7} * 21$

$Yellow = {3} * 3$

$Yellow = 9$

8 0

3 years ago

A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while

bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = Number of bottles in the sample that are not within specification.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....$

where, n = number of trials (samples) taken = 12 bottles

x = number of success = 2 or more bottles

p = probabilitiy of success which in our question is probability that

bottles are not within specification, i.e. p = 0.01

So, X ~ Binom (n = 12, p = 0.01)

Now, the probability that the assembly line will be shut down is given by = P(X $\geq$ 2)

P(X $\geq$ 2) = 1 - P(X = 0) - P(X = 1)

= $1-\binom{12}{0} \times 0.01^{0}\times (1-0.01)^{12-0}-\binom{12}{1} \times 0.01^{1}\times (1-0.01)^{12-1}$

= $1-(1 \times 1\times 0.99^{12})-(12 \times 0.01^{1}\times 0.99^{11})$

= 0.00617

8 0

3 years ago

Which expression shows seven more than triple a number?

Illusion [34]

I hope this helps you

A ) 7 less than triple a number

B ) 7 more than triple a number

C ) 3 less than seven time a number

D ) 3 more than seven time a number

answer is B

5 0

4 years ago

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Determine whether the equation represents a direct variation. If it does, find the constant of variation. 2y=5x+1

coldgirl [10]

It does represent a direct variation.

Direct variation: y = kx
y varies directly with x

Your equation 2y = 5x + 1 is in the form of y = kx but we need to divide out the 2 from 2y so we have the following
2y = 5x + 1
2y / 2 = 5 x/ 2 + 1/2
y = 5x / 2 + 1/2
y = kx
k = 5/2
k = constant of variation = 5/2

6 0

3 years ago

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