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3 years ago

What values of x make the expression (x+4)(x-6) negative

1 answer:

8 0

Anything under 6 would make it negative as a positive times a negative equals a negative basically the x+4 doesn't matter as long as it's positive and the x-6 as long as that's negative it doesn't matter the area in which they have to be is -3 to 5

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The claim is that the standard deviation of the speeds of drivers in Bradford is 8 mph. An experienced driver feels that this is

Irina-Kira [14]

Answer:

Null hypothesis is rejected. Standard deviation is > 8 miles per hour

Step-by-step explanation:

σ [Population standard deviation] = 8 , s [sample standard deviation] = s

n [no of items] = 8

H0 [Null] : σ = 8 ; H1 [Alternate - Right Tail] : σ > 8

χ2 = (n - 1) . s^2 / σ^2

= 49 x (10.5)^2 / 82 = 5402.25 / 64

χ2 = 84.410

df [degree of freedom] = n -1 = 50 - 1 = 49

P value (χ^2 49 > 84.410) = 0.00125

p = 0.0013

p < α ie 0.05

So, H0 is rejected

Hence we state that standard deviation is > 8 miles per hpur

6 0

3 years ago

Tess created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triple 3, 4, and 5 by 8. Is Tess correct?

pentagon [3]

Answer:

(24, 32, 40) is a Pythagorean triplet.

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.

Step-by-step explanation:

We are given the following in the question:

Pythagorean triplet: (3,4,5)

New Pythagorean triplet obtained = (24, 32, 40)

Pythagoras theorem:

For a right angles triangle the sum of square of sides of triangle is equal to the square of hypotenuse of triangle.

Verification:

$24^2 + 32^2\\=576 + 1024\\=1600\\=40^2$

Yes, Tessa is correct.

(24, 32, 40) is a Pythagorean triplet.

Pythagorean triple be created using multiplies of a known Pythagorean triple

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.

8 0

3 years ago

Read 2 more answers

Solve the system by elimination<br><br> 2 + 5 = −24<br> 3 − 5 = 14

belka [17]

Answer:

7=24

-2 = 14

Step-by-step explanation:

(2+5)= 7=24

8 0

3 years ago

When Gerald started on his trip, his odometer read 109,875. At the end of his trip it read 110,480. How many miles did he travel

ozzi

Gerald traveled 605 miles. In order to get this answer you subtract 109,875 from 110,480.

6 0

3 years ago

What is the side length of a cube that has a volume of 0.008 m

Nataliya [291]

Let the side lenght of cube is a
voluem of cube= 0.008
a^3=0.008
a =0.2
side of lenght is 0.2

8 0

3 years ago