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Alik [6]
3 years ago
7

Multiply. Express each answer as a decimal. 12⋅15 34⋅200 (0.2)⋅60 (0.75)⋅20

Mathematics
1 answer:
katovenus [111]3 years ago
3 0

Answer:

  1. 12×15=180
  2. 34×200=6800
  3. (0.2)×60=12
  4. (0.75)×20=15
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A woman is randomly selected from the 18–24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally
Naddik [55]

Answer:

X \sim N(114.8,13.1)  

Where \mu=114.8 and \sigma=13.1

We are interested on this probability

P(X>140)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

And we can find this probability using the complement rule:

P(z>1.924)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(114.8,13.1)  

Where \mu=114.8 and \sigma=13.1

We are interested on this probability

P(X>140)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:P(X>140)=P(\frac{X-\mu}{\sigma}>\frac{140-\mu}{\sigma})=P(Z>\frac{140- 1114.8}{2.6})=P(z>1.924)And we can find this probability using the complement rule:

P(z>1.924)=1-P(z

8 0
3 years ago
4 3/10 - ( 2 2/5x+ 5 1/2) = 1/2(-3 3/5x + 1 1/5)
koban [17]

Answer:

x = -223/11 = -20.273

Step-by-step explanation:

Step  1  : Simplify:  11/5

Step 2: Simplify 33/5

Step  3  :

Adding fractions which have a common denominator

Step  4: Simplify: 1/2

Step  5  :  see below

Step  6  :  see below

Pulling out like terms/factors

Step  7 : Simplify: 51/2

Step 8:  Simplify: 22/5

Step 10: Simplify: 43/10

Step  9  :

Calculating the Least Common Multiple

Step  11  :

Adding fractions which have a common denominator

Done.

Hope this helps.

7 0
3 years ago
The following information matrices shows how many of each vehicle type sold and the bonus amount
Ber [7]

Do you know the answers to 8.4 quiz?

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