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MissTica
2 years ago
8

Please answer it in two minutes

Mathematics
1 answer:
kari74 [83]2 years ago
6 0
54 miles only due to the angles being congruent to each other if you look closely
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the distance between Spice island and Kay island is 3.4 inches on the map. If the scale on the map is 1 inch = 25 miles, what is
Ronch [10]
One inch equals 25 miles
Two inches equals fifty miles
Three inches equals seventy five miles
Four inches equals one hundred miles

.1 inches equals 2.5 miles
.4 inches equals 10 miles

Seventy five miles plus ten miles equals eighty five miles.
7 0
3 years ago
Suppose it is known that the distribution of purchase amounts by customers entering a popular retail store is approximately norm
iragen [17]

Answer:

a. 0.691

b. 0.382

c. 0.933

d. $88.490

e. $58.168

f. 5th percentile: $42.103

95th percentile: $107.897

Step-by-step explanation:

We have, for the purchase amounts by customers, a normal distribution with mean $75 and standard deviation of $20.

a. This can be calculated using the z-score:

z=\dfrac{X-\mu}{\sigma}=\dfrac{85-75}{20}=\dfrac{10}{20}=0.5\\\\\\P(X

The probability that a randomly selected customer spends less than $85 at this store is 0.691.

b. We have to calculate the z-scores for both values:

z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{65-75}{20}=\dfrac{-10}{20}=-0.5\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{85-75}{20}=\dfrac{10}{20}=0.5\\\\\\\\P(65

The probability that a randomly selected customer spends between $65 and $85 at this store is 0.382.

c. We recalculate the z-score for X=45.

z=\dfrac{X-\mu}{\sigma}=\dfrac{45-75}{20}=\dfrac{-30}{20}=-1.5\\\\\\P(X>45)=P(z>-1.5)=0.933

The probability that a randomly selected customer spends more than $45 at this store is 0.933.

d. In this case, first we have to calculate the z-score that satisfies P(z<z*)=0.75, and then calculate the X* that corresponds to that z-score z*.

Looking in a standard normal distribution table, we have that:

P(z

Then, we can calculate X as:

X^*=\mu+z^*\cdot\sigma=75+0.67449\cdot 20=75+13.4898=88.490

75% of the customers will not spend more than $88.49.

e. In this case, first we have to calculate the z-score that satisfies P(z>z*)=0.8, and then calculate the X* that corresponds to that z-score z*.

Looking in a standard normal distribution table, we have that:

P(z>-0.84162)=0.80

Then, we can calculate X as:

X^*=\mu+z^*\cdot\sigma=75+(-0.84162)\cdot 20=75-16.8324=58.168

80% of the customers will spend more than $58.17.

f. We have to calculate the two points that are equidistant from the mean such that 90% of all customer purchases are between these values.

In terms of the z-score, we can express this as:

P(|z|

The value for z* is ±1.64485.

We can now calculate the values for X as:

X_1=\mu+z_1\cdot\sigma=75+(-1.64485)\cdot 20=75-32.897=42.103\\\\\\X_2=\mu+z_2\cdot\sigma=75+1.64485\cdot 20=75+32.897=107.897

5th percentile: $42.103

95th percentile: $107.897

5 0
3 years ago
How much would $500 invested at 6% interest compounded monthly be worth after 4 years? Round your answer to the nearest cent
Rama09 [41]
1) Compound interest formula:
A = P(1+ \frac{r}{n}) ^{nt}**<span>
**A = amount, P = principal amount, r = rate, n = # of times interest is compunded every year, t = time(in years)
2) Plug numbers in
</span>A = (500)(1+ \frac{0.06}{12}) ^{(12)(4)}
3) Solve
A = 635.24458054

Hope this helped! Good Luck!
7 0
3 years ago
I need help please....
Semmy [17]

Answer:x=-7

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
3/15 + 9/15 + 26/15=
klasskru [66]

Answer:

Mixed number - 2 8/15

decimal - 2.53

Step-by-step explanation:

3+9+26=38

denominator is 15

38/15 convert to a mixed number =

2 8/15  as a decimal is 2.53

4 0
3 years ago
Read 2 more answers
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