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3 years ago

Factor completely: x^2 +13x+40

2 answers:

6 0

Well break the expression into groups so...
(x² + 5x) + (8x + 40)
Factor out x from x² + 5x > x(x + 5)
Factor out 8 from 8x + 40 > 8(x + 5)
x(x + 5) + 8(x + 5)
Factor out the common term (x + 5)
(x + 5)(x + 8)

monitta3 years ago

3 0

(x + 5) (x + 8)
I believe...

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The weights of adult male beagles are normally distributed, with a mean of 25 pounds and a standard deviation of 4 pounds.

Andrews [41]

Answer:

A) 8

Step-by-step explanation:

Mean weight = u = 25 pounds

Standard Deviation = $\sigma$ = 4 pounds

We have to find how many beagles out of 75 will weigh more than 30. Since the data is normally distributed, we can use z score to find this value. First we will what is the percentage(probability) of a randomly selected beagle to weigh more than x = 30 pounds, using this percentage we can then find our answer.

The formula for z score is:

$z=\frac{x-u}{\sigma}$

Using the values, we get:

$z=\frac{30-25}{4}=1.25$

So, P(Weight > 30) is equivalent to P(z > 1.25). Using the z table, we can write:

P(z > 1.25) = P(Weight > 30) = 0.1056

This, 0.1056 or 10.56% of the beagles are expected to weigh more than 30 pounds.

So,out of 75 beagles, 10.56% of 75 are expected to weigh more than 30 pounds.

10.56% of 75 = 0.1056 x 75 = 7.92 = 8 (rounding to nearest integer)

Therefore, out of 75 beagles 8 are expected to weigh more than 30 pounds.

6 0

3 years ago

5/3 ÷ (-6/7)=?<br> thank you so much :D

siniylev [52]

The answer is
Exact form: -35/18
Decimal form:-1.94444444...
Mixed number form: -1 17/18

7 0

3 years ago

dan and cheryl paddled their canoe 40 mi in 5 hr with the current and 16 mi in 8 hr against the current. Find the speed of the c

Arada [10]

Let the speed of the current be x and the speed of the canoe in still water be y, then

$y+x= \frac{40}{5} =8 \\ y-x= \frac{16}{8} =2$

Adding the two equations, we have:

$2y=10 \\ \\ \Rightarrow y=5$

From any of the equations, we have that x = 2

Therefore, the speed of the current is 2 miles per hour while the speed of the canoe in still water is 5 miles per hour.

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4 years ago

Howard downloaded 6 more songs Latham Erin. Lee downloaded 3 more than Howard. Lee downloaded 16 songs. How many songs did Erin

diamong [38]

If Lee downloaded 3 more songs than Howard (16 total songs), that means that Howard downloaded 13 songs (total). If Howard downloaded 13 songs, he downloaded 6 more than Erin. Therefore, you would subtract 6 from 13 to get 7.

Answer: Erin downloaded 7 songs

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4 years ago

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SMART STUDENT PLEASE NEED GOOD MATH STUDENT

tangare [24]

Answer:

Therefore 'x' is equal to 65.4°

Step-by-step explanation:

In Right Angle Triangle ABC

∠ B = 90°

AC = Hypotenuse = 12

CB = Adjacent Side = 5