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3 years ago

Cheryl is moving to a new house. Her old house is 3 km from her new house. How many

Mathematics

2 answers:

ANTONII [103]3 years ago

6 0

Answer:

3,000 meters

Step-by-step explanation:

recall that 1 kilometer = 1,000 meters

hence

3 kilometers = 1,000 meters x 3 = 3,000 meters

Mumz [18]3 years ago

3 0

It should be 3000 meters

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Select the correct answer from the drop-down menu.

lidiya [134]

Answer:

6y² - 20y + 6

Step-by-step explanation:

Use FOIL method

(3y - 1)(y-3) = 3y*y + 3y*(-3) + (-1)*y + (-1)*(-3)

= 3y²- 9y - y + 3 {add the like terms}

= 3y² - 10y + 3

2(3y - 1)(y - 3) = 2 ( 3y² - 10y + 3)

= 2*3y² - 2*10y + 2*3

= 6y² - 20y + 6

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3 years ago

Find the exact value by using a half-angle identity. . cos(5π/12).

vodka [1.7K]

First of all in order to find the exact value by using a half angle identity we will do
cos(5π divided by 12)

=cos (5π divided by 6) divided by 2
= ± Under root[(1+cos (5π divided by 6) divided by 2]
Now we will consider + sign because 5π divided by 12 is in quadrant. where cos>0
so the solution is [(1- Under root 3 divided by 2) divided by 2]
We will ignore the negative sign
I hope it helped.

6 0

3 years ago

The probability of something can be expressed as a decimal or as a percent. We know that the probability of something happening

Firdavs [7]

Answer: The probability lies between 0 and 1

Step-by-step explanation:

As from the given information probability of an event lies between 0% to 100% .

To convert percent into integer or fraction we have to divide it by 100

$0\%= \frac{0}{100} = 0$

And

$100\% = \frac{100}{100} = 1$

From the above the probability of an event lie between integers 0 to 1.

3 0

3 years ago

The weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation

Korvikt [17]

Answer:

The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.

Step-by-step explanation:

We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.

Let X = weights of adult male birds of a certain species

So, X ~ Normal( $\mu=27.5,\sigma^{2} =1.1^{2}$ )

The z score probability distribution for normal distribution is given by;

Z = $\frac{ X-\mu}{\sigma } }$ ~ N(0,1)

where, $\mu$ = population mean weight = 27.5 grams

$\sigma$ = standard deviation = 1.1 grams

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

SO, the z-score of a male bird of this species with a weight of 29.37 grams is given by;

Z score = $\frac{ X-\mu}{\sigma } }$ = $\frac{ 29.37-27.5}{1.1 } }$

= 1.7

4 0

3 years ago

What is the best approximation of the solution to the equations that these two lines represent?

Sunny_sXe [5.5K]

Number one would be 1.5 , 3 and number two would be 1.5 , 1

7 0

3 years ago

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