All categories

3 years ago

Please SHOW YOUR WORK. Will give brainliest if you do. Thanks!

Mathematics

1 answer:

irga5000 [103]3 years ago

7 0

Answer:

$\frac{4(x + 1)}{5(x - 1)}$

Step-by-step explanation:

Given: $\frac{2(x + 3)}{x(x - 1)} \times \frac{4x(x + 2)}{10(x + 3)}$

Cancelling out the common terms: (x + 3) and x, we get:

$\frac{2}{x - 1} \times \frac{4(x + 2)}{10}$

Cancelling 2 and 10 again, we get:

⇒ $\frac{4(x + 2)}{5(x - 1)}$

This is the final product.

You might be interested in

How many integers between 1-100 are divisible by 3?

katrin [286]

You can state the qurstion in an other way
how many integers between 1-100 has 3 in their prime compostion or how many many numbers can be written as 3*a where a is any number
the multiplication table of 3 shows that 3*33=99
which means that highest product below 100 is 3*33
so there are 33 numbers that are divisible by three

7 0

3 years ago

Read 2 more answers

Math problem A homeowner has two rectangular structures in her backyard. The dimensions of the hot tub are 6 feet by 8 feet. The

Zolol [24]

Answer:

289feet²

Step-by-step explanation:

Area of a rectangle = length x breadth

area of a square = length²

area of the yard that is not covered by the hot tub and fire pit =

Area of the yard - (area of the hot tub + area of the fire pit)

Area of the yard = 20 feet² = 400 feet²

area of the hot tub = 6 feet² x 8 feet² = 48 feet²

area of the fire pit = 7 feet² x 9 feet² = 63 feet²

400 - (48 + 63) = 289 feet²

3 0

3 years ago

eleanor purchased $2568 worth of stock and paid her broker a 0.5% fee. She sold the stock when the stock price increased to 3928

Gnoma [55]

Answer:

Eleanor's net proceeds would be $1340.16.

Step-by-step explanation:

If Eleanor purchased $2568 worth of stock and paid a 0.5% broker fee, she would have to pay $12.84 for the service, which is what we get when we multiply her initial purchase by the percentage (0.005). When Eleanor sold the stock at $3928, she had to pay a flat fee of $7 for the trade, decreasing her overall profit by $7, or $3921. Subtracting her initial investment from the overall profit gives Eleanor a net proceed of $1340.16.

5 0

3 years ago

18. A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be

avanturin [10]

Answer:

a. =50 ± 4.67

b. =50 ± 4.81

decreasing the sample size increase the margin of error

c. =50 ± 3.51

decreasing the confidence level reduced the margin of error

d. No. because the confidence interval coefficient is gotten from the table of normal distribution of Z value. therefore the confidence interval is only used for normal distributed population

Step-by-step explanation:

given

The sample mean, x, = 50,

the sample standard deviation, s, = 8.

a. Construct a 98% confidence interval for m if the sample size, n, is 20

for a 98% confidence interval of an inﬁnite population, thus for a sample of size N and mean x, drawn from an inﬁnite population having a standard deviation of σ, the mean value of the population is estimated to by:

x± 2.33σ /√N

for a conﬁdence level of 98%, Zc = 2.33 gotten from the table of confidence interval.

This indicates that the mean value of the population lies between

50- ( 2.33*8 /√20) and 50+ ( 2.33*8 /√20)

with 98% conﬁdence in this prediction.

=50 ± 4.67

=45.33 or 54.67

(b) Construct a 98% confidence interval for m if the sample size, n, is 15.

using the same method as above

x± 2.33σ /√N

This indicates that the mean value of the population lies between

50- ( 2.33*8 /√15) and 50+ ( 2.33*8 /√15)

=50 ± 4.81

=45.19 or 54.81

decreasing the sample size increase the margin of error

(c) Construct a 95% confidence interval for m if the sample size, n, is 20. Compare the results to those obtained in part

95% confidence interval =1.96 (gotten from table of confidence coefficient)

using x±1.96 σ /√N

This indicates that the mean value of the population lies between

50- (1.96 *8 /√20) and 50+ (1.96 *8 /√20)

=50 ± 3.51

=46.49 or 53.51

c. decreasing the confidence level reduced the margin of error

(d) Could we have computed the confidence intervals in parts (a)–(c) if the population had not been normally distributed?

No. because the confidence interval coefficient is gotten from the table of normal distribution of Z value. therefore the confidence interval is only used for normal distributed population

7 0

3 years ago

Ben is paid £12.40 per hour.

andreev551 [17]

Answer:

£156.24

Step-by-step explanation:

Ben worked for 12 hours.

Total = Normal working hours + overtime working hours

12 hours = 9 hours + 3 hours

Ben is paid £12.40 per hour(normal working hours)

he is paid overtime for the additional hours at a rate of 1.2 times his normal rate of pay.

Amount earned Overtime = 1.2 × £12.40

= £14.88

Total amount earned for 12 hours of work = 9(£12.40) + 3(£14.88)

= £111.60 + £44.64

= £156.24

Total amount earned for 12 hours of work = £156.24

4 0

3 years ago