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GuDViN [60]
2 years ago
9

50/100 in tenth fraction and decimal form

Mathematics
1 answer:
Flura [38]2 years ago
7 0

Answer:

5/10 and .5

Step-by-step explanation:

50/100 is 1/2 so 1/2 is equal to 5/10

5/10 is also 1/2 and 1/2 as a decimal is .5 or 0.5

hope it helps !

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Express 342,000,000,000 in scientific notation
Katena32 [7]
<span>Express 342,000,000,000 in scientific notation

</span>342,000,000,000 = 3.42 x 10^11
5 0
3 years ago
Find the solutions to the following linear-quadratic systems algebraically. Select the ordered pair that is one of the correct s
Ghella [55]

Answer:

(-2, 6)

Step-by-step explanation:

we have

y=x^{2} +3x+8 ----> equation A

y=2x+10 ----> equation B

equate equation A and equation B

x^{2} +3x+8=2x+10

x^{2} +3x+8-2x-10=0

x^{2} +x-2=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2} +x-2=0

so

a=1\\b=1\\c=-2

substitute in the formula

x=\frac{-1\pm\sqrt{1^{2}-4(1)(-2)}} {2(1)}

x=\frac{-1\pm\sqrt{9}} {2}

x=\frac{-1\pm3} {2}

x=\frac{-1+3} {2}=1

x=\frac{-1-3} {2}=-2

Find the values of y

For x=1

y=2(1)+10=12

For x=-2

y=2(-2)+10=6

therefore

The solutions are (1,12) and (-2,6)

3 0
3 years ago
Connie's dog fido weighs 35 pounds. Her vet placed fido on a diet. What inequality can you write to find the average number of p
lawyer [7]

Fido's dog must lose 1.17 pounds each month to reach healthier weight.

Step-by-step explanation:

Given,

Weight of fido's dog = 35 pounds

Time period = 6 months

Goal weight to reach = 28 or less pounds

Let,

m be the weight to be lose each month.

Weight of dog - Time period * Weight to lose each month ≤ Goal weight

35-6m\leq 28\\-6m\leq 28-35\\-6m\leq -7

Dividing both sides by -6

\frac{-6m}{-6}\leq \frac{-7}{-6}\\\\m\leq 1.17

Fido's dog must lose 1.17 pounds each month to reach healthier weight.

Keywords: division, subtraction

Learn more about division at:

  • brainly.com/question/10382470
  • brainly.com/question/10382722

#LearnwithBrainly

7 0
4 years ago
The object shown has a flat, circular base. It has one curved side and a vertex at the top...
agasfer [191]
The shape shown is a cone and the cones perpendicular cross section is a triangle.

If you need the parallel cross section then it will be a circle.

The answer is A.

Hope this helps :)


8 0
3 years ago
in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16
yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

<em>Let </em>\bar X<em> = sample mean height</em>

The z-score probability distribution for sample mean is given by;

              Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean height = 69 inches

            \sigma = population standard deviation = 2.8 inches

            n = sample of men = 16

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P(\bar X < 68 inches)

 P(\bar X < 68 inches) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{68-69}{\frac{2.8}{\sqrt{16} } } ) = P(Z < -1.43) = 1 - P(Z \leq 1.43)

                                                           = 1 - 0.9236 = 0.0764

<em>Now, in the z table the P(Z  x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.</em>

Therefore, probability that their mean height is less than 68 inches is 0.0764.

3 0
4 years ago
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