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3 years ago

Please name all of the property of multiplication for 4(-3)5

Mathematics

1 answer:

PIT_PIT [208]3 years ago

6 0

Answer:

Step-by-step explanation:

You can multiply -3 by 4 and then multiply the result of that by 5, or you could write -3, 4 and 5 in other orders (6 possible orders) and obtain the same result.

I would multiply (-3) by 4, obtaining -12, and then multiply this -12 by 5, obtaining -60. But I could also multiply 5 by 4, obtaining 20, and then multiply this 20 by -3, obtaining the same -60.

What I have described here are the commutative and associative properties of multiplication.

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A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?

gogolik [260]

Hello there! We are looking for the amount of total sales. To find the amount of total sales, we can write and solve a proportion. Set it up like this:

180/x = 3/100

We do this, because 180 is part of the whole, 3% is a part of 100%. This proportion will help us get to the correct answer. Let's cross multiply. 180 * 100 is 18,000. 3 * x is 3x. that makes 18,000 = 3x. Now, divide each side by 3 to isolate the x. 3x/3 cancels out. 18,000/3 is 6,000. Let's check this. 6,000 * 3% (0.030 is 180. 180 = 180. There. x = 6,000. The amount of sales is $6,000.

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3 years ago

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3 years ago

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Karen wanted to measure the height of her school's flagpole. She placed a mirror on the ground 44 ft from the flagpole, and then

Shalnov [3]

Answer:140

Step-by-step explanation:

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3 years ago

An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y

aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average time = 23.92 minutes

s = sample standard deviation = 6.72 minutes

n = sample of times = 40

$\mu$ = population mean assembly time

Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 98% confidence interval for the population mean, $\mu$ is;

P(-2.426 < $t_3_9$ < 2.426) = 0.98 {As the critical value of z at 1% level

of significance are -2.426 & 2.426}

P(-2.426 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.426) = 0.98

P( $-2.426 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

P( $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $23.92-2.426 \times {\frac{6.72}{\sqrt{40} } }$ , $23.92+2.426 \times {\frac{6.72}{\sqrt{40} } }$ ]

= [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

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2 years ago

When rolling a die why is the probability of rolling a 2 or 3

Gelneren [198K]

Answer:

1/3

Step-by-step explanation:

If you're talking about a 6-sided die, then there are 6 sides. Rolling a 2 or a 3 would be a 2/6 chance. To simplify if from there, you can also say that there is a 1/3 chance.

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2 years ago

Please name all of the property of multiplication for 4*(-3)*5

Please name all of the property of multiplication for 4(-3)5