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riadik2000 [5.3K]
2 years ago
14

A bank offers two different types of interest on savings accounts.

Mathematics
2 answers:
DaniilM [7]2 years ago
8 0

Answer:

R=5.5%, P=$1000, T=5yrs

I=PRT/100

I=5.5×1000×5/100

I=$275.00 for the account one, the account two will be $250.00 by comparing, the account one is close to the interest

lord [1]2 years ago
4 0

Answer: a

Step-by-step explanation:

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The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2inches.a. Wha
Charra [1.4K]

Answer:

a)P(X>66)=P(Z>1)=1-P(Z

b)P(\bar X >66)=P(Z>2)=1-P(Z

c) P(\bar X >66)=P(Z>10)=1-P(Z

Step-by-step explanation:

1) 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".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

2) Part a

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

X \sim N(64,2)  

Where \mu=64 and \sigma=2

We are interested on this probability

P(X>66)

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>66)=P(\frac{X-\mu}{\sigma}>\frac{66-\mu}{\sigma})=P(Z>\frac{66-64}{2})=P(Z>1)

And we can find this probability on this way:

P(Z>1)=1-P(Z

3) Part b

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

P(\bar X >66)=P(Z>\frac{66-64}{\frac{2}{\sqrt{4}}}=2)

And using a calculator, excel or the normal standard table we have that:

P(Z>2)=1-P(Z

4) Part c

P(\bar X >66)=P(Z>\frac{66-64}{\frac{2}{\sqrt{100}}}=10)

And using a calculator, excel or the normal standard table we have that:

P(Z>10)=1-P(Z

3 0
3 years ago
What is the missing base for 1000= ____ to the power of 3
TiliK225 [7]
1000 = x^3

1000 cube root = x

10 = x

10*10 = 100

100*10 = 1000

Hope this helped, and please make me brainlest! :)
5 0
2 years ago
What is the total surface area of this
4vir4ik [10]
10.5 in^2 is the skinny rectangle
104 in^2 is the boat
24 in^2 is the flag

8 0
2 years ago
PLEASE HELP! :( <br><br> What is the surface area of the right cone below?
AleksandrR [38]

Answer:

<em>A≈606.32</em>

Step-by-step explanation:

you need to use this equation: A=πr(r+h^2+r^2) to figure it out...

just plug your length, height, and radius in, and u have ur answer!!

ur answer shud be <em>A≈606.32</em>

<em />

Hope this helps!!

6 0
3 years ago
Read 2 more answers
In the 2000 summer Olympics, the women’s 400-meter freestyle winner took 4 minutes 4 seconds to swim her race. The 200-meter fre
joja [24]

Step-by-step explanation:

so, the 200m winner's average speed was

200m/(60+57)sec = 200/117 m/s

so, 400m with the same speed would need x seconds :

200x/117 = 400

200x = 400×117

x = 2×117 = 234 seconds = 3 minutes and 54 seconds

(after seeing that a minute has 60 seconds, and that then 234/60 = 3 and 54 remainder).

so, she would have reduced her time by 10 seconds (from 4 minutes 4 seconds down to 3 minutes 54 seconds = 4 + 6 = 10).

3 0
2 years ago
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