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3 years ago

10

Find a number less than 19 that has more factors than 19,21,23and 25

1 answer:

katen-ka-za [31]3 years ago

7 0

A <em>factor</em> is a number that your number is divisible by.

19 has two factors: 19 and 1.
23 also has two factors: 23 and 1.

21 has four factors: It is divisible by 21 and 1, but also by 3 and 7.
25 has three factors: It is divisible by 25, 1, and 5.

We need a number less than 19 that has five or more factors.
What we can do is multiply a bunch of numbers together (so that we know that our number will be divisible by them) to give it a lot of factors.

Let's try 2 × 2 × 3. This gives us 12.

12 has <em>six</em> factors: 12, 1, 2, 6, 3, and 4.

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If $850 is deducted each month for 12 months from your checking account to pay your mortgage, what impact will it have on your c

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it would be -10,200 per year

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3 years ago

Which of the following are solutions to the equation below? Check all that apply. 9x^2-64=0

nikdorinn [45]

Answer:

E. -8/3

F. 8/3

Step-by-step explanation:

9x^2-64=0

Add 64 to each side

9x^2-64+64 = 0+64

9x^2 =64

Divide each side by 9

9x^2/9 = 64/9

x^2 = 64/9

Take the square root of each side

sqrt(x^2) = ±sqrt(64/9)

We know that sqrt(a/b) = sqrt(a)/sqrt(b)

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3 years ago

According to an article in Newsweek, the rate of water pollution in China is more than twice that measured in the US and more th

jeyben [28]

Answer:

(a) 0.119

(b) 0.1699

Solution:

As per the question:

Mean of the emission, $\mu = 11.7$ million ponds/day

Standard deviation, $\sigma = 2.8$ million ponds/day

Now,

(a) The probability for the water pollution to be at least 15 million pounds/day:

$P(X\geq 15) = P(\frac{X - /mu}{\sigma} \geq \frac{15 - 11.7}{2.8})$

$P(X\geq 15) = P(Z \geq 1.178)$

$P(X\geq 15)$ = 1 - P(Z < 1.178)

Using the Z score table:

$P(X\geq 15)$ = 1 - 0.881 = 0.119

The required probability is 0.119

(b) The probability when the water pollution is in between 6.2 and 9.3 million pounds/day:

$P(6.2 < X < 9.3) = P(\frac{6.2 - 11.7}{2.8} < \frac{X - \mu}{\sigma} < \frac{9.3 - 11.7}{2.8})$

$P(6.2 < X < 9.3) = P(- 1.96 < Z < - 0.86)$

$P(6.2 < X < 9.3) = P(- 1.96 < Z < - 0.86)$

P(Z < - 0.86) - P(Z < - 1.96)

Now, using teh Z score table:

0.1949 - 0.025 = 0.1699

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3 years ago

it took Simon 33 minutes to run 5.5 miles. did he run faster or slower than 1 mile every 5 minutes how can you tell

vitfil [10]

Simon ran slower than 1 mile every 5 minutes.

Because 33 / 5.5 = 6. So he ran 1 mile every 6 minutes, not 5.

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3 years ago

Suppose that $1800 is borrowed for three years at an interest rate of 2% per year, compounded continuously. Find the amount owed

Schach [20]

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2 years ago