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UkoKoshka [18]
3 years ago
7

Increase 14187.13 by 4.5%

Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0
If you increase a number by 4.5%, then you're adding 4.5% of that number to 100% of that number. So essentially you just multiply 14187.13 by 104.5%, or 1.045 to find the answer, which is 14,825.55.
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What is the slope of the line that passes through the points (1,-5) and (3,5)?
Lana71 [14]

Answer:

a) 5

Step-by-step explanation:

Put them into slope intercept form AKA y=mx+b: -5=m1+b <em>and</em> 5=m3+b

Subtract the equations to get -10=-2m

Divide both sides by two to get: 5=m

Hope this helps! (^-^)

8 0
3 years ago
In the following isosceles trapezoid, find the value of x.
yulyashka [42]

Answer:

24

Step-by-step explanation:

22 - 8 = 14

14/2 = 7

Pythagoras theorem

25 squared -7 squared = 576

square root of 576 = 24

5 0
3 years ago
The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).
natita [175]

Answer:

68% of jazz CDs play between 45 and 59 minutes.

Step-by-step explanation:

<u>The correct question is:</u> The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).

According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?

Let X = <u>playing time of jazz CDs</u>

SO, X ~ Normal(\mu=52, \sigma^{2} =7)

The z-score probability distribution for the normal distribution is given by;

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

Now, according to the 68-95-99.7 rule, it is stated that;

  • 68% of the data values lie within one standard deviation points from the mean.
  • 95% of the data values lie within two standard deviation points from the mean.
  • 99.7% of the data values lie within three standard deviation points from the mean.

Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;

   For 45 minutes, z-score is =  \frac{45-52}{7}  = -1

   For 59 minutes, z-score is =  \frac{59-52}{7}  = 1

This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.

6 0
3 years ago
If the probability of trowing a score of seven with 2 dices is ⅛ ,what is the probability of not throwing a score of seven
V125BC [204]

Answer:

7/8

Step-by-step explanation:

because 1 - ⅛ = 7/8. which would mean the answer is 7/8

3 0
3 years ago
A pumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. The pumpkins height, h, at time t sec
STALIN [3.7K]

Answer: Maximum height =  105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

h(t) = -16t^2 + 72t + 24 --------(1)

Where t is the time in second.

Differentiating equation (1) with respect to t,

We get,    h'(t) = -32 t + 72

Again differentiating above equation with respect to t,

We get,   h''(t) = -32

For maximum or minimum,    h'(t) = 0

- 32 t + 72 = 0

32 t = 72

t = \frac{9}{4}

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

h(\frac{9}{4} ) = -16(\frac{9}{4})^2 + 72(\frac{9}{4}) + 24

h(\frac{9}{4} ) = -16(\frac{81}{16})+ 72(\frac{9}{4}) + 24

h(\frac{9}{4} ) = -81 + 162 + 24=105

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

8 0
3 years ago
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