What is the system of checks and balances designed to ensure?

Answers

Answer 1
Answer:

Answer:

ensure that no single branch of government would have too much power

Step-by-step explanation:


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Find the slope of (5,-5) and (-4,5)
hector works 12 hours a week at a part time job. His original pay rate was $8 per hour but he recently received a pay raise of x dollars an hour. his new total weekly pay, y, is represented by the equaiton y=12(8+x)
Someone please tell me and also what b is
6)Do these calculations and use proper significant figures:26 X 0.02584 =15.3 +1.1 =782.45 X 3.5 =63.258 + 734.2 =

Adam bought 12 bagels. It cost him $30. How much does each bagel cost

Answers

Answer:

$2.50

Step-by-step explanation:

$30 divided by 12 = 2.5

Each bagel is $2.5

Four friends are sharing 7 pizzas equally.

How much pizza will each person get?

Answers

Answer:

1.75 or 1 3/4 pieces of pizza per person

Step-by-step explanation:

Hi,

Divide 4 by 7 and you get...

1 3/4 or 1.75

I hope this helps :)

If it is 8 slices per pie.


8*7= 56

56 total slices.
———————- = 14 slices per friend
4

Answer: 14 slices each.

The quality control manager at a light bulb manufacturing company needs to estimate the mean life of the light bulbs produced at the factory. The life of the bulbs is known to be normally distributed with a standard deviation (sigma) of 80 hours. A random sample of 16 light bulbs indicated a sample mean life of 1000 hours. What is a 95% confidence interval estimate (CIE) of the true mean life (m) of light bulbs produced in this factory

Answers

Answer: (960.80,1039.20)

Step-by-step explanation:

Let X denotes a random variable that represents the life of the light bulbs produced at the factory.

As per given,

\sigma=80\n\n n=16\n\n \overline{x}=1000

Critical z-value for 95% confidence interval : z* = 1.96

Confidence interval for population mean:

\overline{x}\pm z^*(\sigma)/(√(n))\n\n  =1000\pm (1.96)(80)/(√(16))\n\n=1000\pm 1.96*(80)/(4)\n\n=1000\pm 1.96*20\n\n=1000\pm39.2\n\n=(1000-39.2,\ 1000+39.2)\n\n=(960.80,1039.20)

So, a 95% confidence interval estimate (CIE) of the true mean life (m) of light bulbs produced in this factory = (960.80,1039.20)

A cereal comes in three different package sizes. 8 ounce box $12, 12 ounce box $16,16 ounce box $20 what is the ratio of the coast of an 8 ounce box to a 16 ounce box of cereal

Answers

The ratio between two numbers can be written in terms of fraction by writing the first number as numerator and the second number as denominator. The ratio of the given two boxes is 0.6.

What is the application ratio and proportion?

A ratio is the relation between two numbers a and b as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

Given that,

The cost of 8 ounce box is $12,

The cost of 12 ounce box is $16,

And, the cost of 16 ounce box is $20.

The ratio of two numbers a and b is given as a : b =  a / b.

Thus the ratio of the cost of an 8 ounce box to a 16 ounce box is given as,

12 : 20

= 12 / 20

= 0.6.

Hence, the ratio between the cost of the two boxes is 0.6.

To know more about ratio and proportion click on,

brainly.com/question/14279414

#SPJ2

Check and simplify ratios:

8 ounces to 12 dollars - 8:12
Simplified: 2:3

16 ounces to 20 dollars - 16:20
Simplified: 4:5

Percentages?

2 / 3 = 66.66%
4 / 5 = 80%

The 16 ounce box has a larger ratio than the 8 ounce box

A university financial aid office polled a random sample of 528 male undergraduate students and 651 female undergraduate students. Each of the students was asked whether or not they were employed during the previous summer. 295 of the male students and 463 of the female students said that they had worked during the previous summer. Give a 80% confidence interval for the difference between the proportions of male and female students who were employed during the summer.A) Find the values of the two sample proportions (round to three decimals)B) Find the critical value that should be used in constructing the confidence interval.C) Find the value of the standard error. Round your answer to three decimal places.D) Construct the 95% confidence interval. Round your answers to three decimal places.

Answers

Answer:

Step-by-step explanation:

A rectangular prism has a base 3 cm by 4 cm and is 5 cm in height.What is the surface area of the rectangular prism?
A. 94 cm2
C. 60 cm
B. 70 cm2
D. 47 cm

Answers

Answer:

94 cm2

Step-by-step explanation:

Base x Width x height

4 x 5 x 3

Answer:

A: 94 cm2

Step-by-step explanation:

the surface area is 94 cm2