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3 years ago

What is 830 divided by 32?

Mathematics

2 answers:

dexar [7]3 years ago

8 0

Answer:

25.9365

Step-by-step explanation:

denis-greek [22]3 years ago

4 0

Answer:

830 divided by 32 = 25.9375

There are decimals because of the remaining numbers trying to divide evenly with a proper answer.

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A rectangular garden is extended 4% on the long sides and 8% on the short sides. To the nearest hundredth of a percent, by what

liq [111]

Answer: 12.32%

Step-by-step explanation:

1. $x$ is the original long side and $y$ is the original short side.

2. The area of the original rectangle is $xy$ .

3. The rectangle is extended 4% on the long sides and 8% on the short sides. therefore, the new long side is:

$\frac{104}{100}x=\frac{26}{25}x$

4. And the new short side is:

$\frac{108}{100}y=\frac{27}{25}y$

5. The new area is:

$(\frac{26}{25}x)(\frac{27}{25}y)=\frac{702}{625}xy$

6. The percentage of increase is calculated by substracting the new area and the original area:

$\frac{702}{625}xy-xy=0.1232xy$

7. The result is:

(0.1232)(100)=12.32%

3 0

3 years ago

g 78% of all Millennials drink Starbucks coffee at least once a week. Suppose a random sample of 50 Millennials will be selected

Tatiana [17]

Answer:

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

6 0

3 years ago

As she drove down the icy Road Miss Campbell slammed on her breaks her car did a 360 explain what happened to her car

meriva

Answer:

The friction that the car usually uses to stop(a rough and hard ground) was null and void, so the car spun uncontrollably.

3 0

3 years ago

HOW CAN ARITHMETIC AND GEOMETRIC SEQUENCES BECOME LINEAR AND EXPONENTIAL FUNCTIONS?

vladimir1956 [14]

A sequence is a set of numbers, called terms, arranged in some particular order. An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant.

3 0

3 years ago

Which calculation gives an approximation of the area of this circle in cm square??

4vir4ik [10]

Answer:

3*16

Step-by-step explanation:

r²≈4*4

4≈3.92

3≈3.14(π}

3 0

3 years ago

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