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ella [17]
3 years ago
7

Show why it's not and find the 10 combinations that will be in both groups?

Mathematics
1 answer:
hammer [34]3 years ago
3 0

Answer:

Step-by-step explanation:

Given that there are 3 events as

rolling 3 dice, are the events A: sum divisible by 3 and B: sum divisible 5

The sample space will have

(1,1,1)...(6,6,6)

Sum will start with 3 and end with 18

Sum divisible by 3 are 3,6,9..18

Sum divisible by 5 are 5,10,....15

The common element is 15

Hence these two events are not mutually exclusive.

You might be interested in
If you subtract 38431 from a number, you are left with 14391.Find the number
Yakvenalex [24]

Answer:

52822

Step-by-step explanation:

38431+14391= 52822

Hope this helps! :)

5 0
3 years ago
Read 2 more answers
The label on a package of bolts says each bolt has a diameter of 0.35 inch. To be in the package, the percent error of the diame
qaws [65]

Answer: No

Step-by-step explanation:-

Labeled diameter on the bolt = 0.35 inch

The observed diameter of the bolt= 0.33 inch

{\text {Percentage Error}}=|\frac{\text {labeled value}-{Observed value}}{\text {Observed value}}|\times 100\%

{\text{Percentage Error}=|\frac{0.35-0.33}{0.33}|\times 100\%=6.06\%

For the bolt to be in the package, the percent error must be less than 5%. As the percent error is 6.06% which is greater than 5%, the bolt cannot be in the package.



7 0
3 years ago
Read 2 more answers
For his birthday, Tyrone's parents gave him $7,790.00 which they put into a savings account that earns 15% interest compounded m
torisob [31]

Answer:

5 years and 5 months

Step-by-step explanation:

<u />

<u>Compound Interest Formula</u>

\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • A = $17,474.00
  • P = $7,790.00
  • r = 15% = 0.15
  • n = 12
  • t = number of years

Substitute the given values into the formula and solve for t:

\implies \sf 17474=7790\left(1+\dfrac{0.15}{12}\right)^{12t}

\implies \sf \dfrac{17474}{7790}=\left(1.0125}\right)^{12t}

\implies \sf \ln\left(\dfrac{17474}{7790}\right)=\ln \left(1.0125}\right)^{12t}

\implies \sf \ln\left(\dfrac{17474}{7790}\right)=12t \ln \left(1.0125}\right)

\implies \sf t=\dfrac{\ln\left(\frac{17474}{7790}\right)}{12 \ln \left(1.0125}\right)}

\implies \sf t=5.419413037...\:years

Therefore, the money was in the account for 5 years and 5 months (to the nearest month).

3 0
1 year ago
Read 2 more answers
Function a(e) represents the surface area of a cube in terms of its edge length, e, and the difference quotient is 12e 6h. what
hram777 [196]

<u> </u><u>48 square inches per inch </u><u> is the average rate of change in surface </u><u>area</u><u>.</u>

What is an area in math?

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

The surface area of a cube of side length e is:

A(e) = 6 *e².

The rate of change is:

A'(e) = 2 * 6 * e

The average rate of change between 3 in and 5 in is:

r  = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in

Now, the options are given in:

"squere inches per inch"

This is written as:

in^2/in = in.

Then we can write our above rate as:

r = 48in = 48in^2/in = 48 square inches per inch.

Learn more about area

brainly.com/question/27683633

#SPJ4

6 0
1 year ago
Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Nelson owes $950
OLga [1]

Answer:

950, 1121.00, 1322.78, 1,560.88, 1,841.84

Step-by-step explanation:

Calculation to determine the sequences that describes his increasing monthly balance

Based on the information given in order for us to determine the sequence we have to multiply the amount owes by the interest rate and then add back the answer you got to the previous amount you multiplied the interest rate to.

First sequence will be the amount he owes on a credit which is $950

Second sequence

950 * .018 = 171.00

950 + 171.00 = 1121.00

Third sequence

1121.00 * .018 = 201.78

1121.00 + 201.78 = 1322.78

Fourth sequence

1322.78*0.18=238.10

1322.78+238.10=1,560.88

Last sequence

1,560.88*0.18=280.96

1,560.88+280.96=1,841.84

Therefore the sequences that describes his increasing monthly balance are:

950, 1121.00, 1322.78, 1,560.88, 1,841.84

8 0
3 years ago
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