Factorise 56x + 35. Need to know asap please.

Which nation has a command economy?<br> O Cuba<br> O Norway<br> South Korea<br> o the United States

elena-14-01-66 [18.8K]

Answer:

Cuba

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

From her purchased bags, Rory counted 110 red candies out of 550 total candies. Using a 90% confidence interval for the populati

Svetlanka [38]

Answer:

The Confidence Interval = (0.172, 0.228)

Where:

The lower limit = 0.172

The upper limit = 0.228

Step-by-step explanation:

The formula to be applied or used to solve this question is :

Confidence Interval formula for proportion.

The formula is given as :

p ± z × √[p(1 - p)/n]

n = Total number of red candies = 550 red candles

p = proportion = Number of red candies counted/ Total number of red candies

= 110/550 = 1/5 = 0.2

z = z score for the given confidence interval.

We are given a confidence interval of 90%. Therefore, the z score = 1.6449

Confidence Interval = p ± z × √[p(1 - p)/n]

Confidence Interval = 0.2 ± 1.6449 × √[0.2(1 - 0.2)/550]

= 0.2 ± 1.6449 √0.2 × 0.8/550

= 0.2 ± 1.6449 × 0.0170560573

= 0.2 ± 0.0280555087

Hence, the Confidence Interval = 0.2 ± 0.0280555087

0.2 - 0.0280555087 = 0.1719444913

Approximately = 0.172

0.2 + 0.0280555087 = 0.2280555087

Approximately = 0.228

Therefore, the Confidence Interval = (0.172, 0.228)

Where:

The lower limit = 0.172

The upper limit = 0.228

4 0

3 years ago

The equation p=100−4t represents the percent p of battery power remaining in an MP3 player after t hours.

fenix001 [56]

Answer:

Step-by-step explanation:

Here time (t) is the independent variable; power (p) is the dependent one.

The graph of p = 100 - 4t is a straight line with slope -4. 100 is the vertical intercept. Battery power begins at 100 and steadily decreases after that.

6 0

4 years ago

4x(x2-4x+5)-2x2(2x2-8x-1)

slava [35]

Simplify the expression.
−4x^4+20x^3-14x^2+20x

3 0

3 years ago

Which of the following integrals represents the area of the region bounded in the first quadrant by x = pi/ 4 and the functions

Kaylis [27]

Answer:

option B is true.

Step-by-step explanation:

We are given that two functions

f(x)= $sec^2x$ and g(x)=sin x and a line x = $\frac{\pi}{4}$

We have to find the area of the region bounded in the first quadrant by x= ${\pi}{4}$ and two functions

We know that the area bounded by two functions

=Integration of region(Upper curve- lower curve)

Therefore, function of sec square x is upper curve and function of sin x is lower function

Therefore, limit of x changing from 0 to $\frac{\pi}{4}$

Hence, the area of the region bounded in the first quadrant and two functions is given by

$=\int_{0}^{\frac{\pi}{4}} (sec^2x-sinx) dx$

Therefore, option B is true.

7 0

3 years ago