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3 years ago

X=3 is a factor of x^3+3x^2-7x+19.

Mathematics

1 answer:

Andrew [12]3 years ago

7 0

Answer:

Step-by-step explanation:

3^3+3(3)^2-7(3)+19

27+27-21+19

54-2

Hope this helps

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A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than c

disa [49]

Answer:

There is sufficient evidence. A further explanation is provided below.

Step-by-step explanation:

According to the question,

The alternative as well as null hypothesis will be:

$H_0:\mu = 16$

$H_a:\mu>16$

The test statistics will be:

⇒ $z = \frac{\frac{\bar x - \mu}{\sigma} }{\sqrt{n} }$

By putting the values, we get

⇒ $=\frac{\frac{16.06-16}{0.24} }{\sqrt{96} }$

⇒ $=\frac{\frac{0.06}{0.24} }{\sqrt{96} }$

⇒ $=2.45$

Or,

The p-value will be:

= 0.0071

i.e.,

⇒ $p-value< \alpha$

Thus the above is the correct answer.

6 0

2 years ago

A high rise apartment building has 15 floors with 26 apartments on each floor.There are 3 kinds of apartments in the building: 1

konstantin123 [22]

Answer:

The number of each kind of apartment in the building is 130 .

Step-by-step explanation:

Given as :

The total number of floor in a building = 15

The number of apartment on each floor = 26

So, The total number of apartment = 26 × 15 = 390

The number of kinds of apartment in the building is 3 , i.e 1-bedroom , 2-bedroom , 3-bedroom

Let The number of each kind of apartment in building = x

So, According to question

The number of each kind of building = $\dfrac{\textrm Total number of apartment }{number of kinds of apartment}$

or, x = $\frac{390}{3}$

∴ x = 130

Hence The number of each kind of apartment in the building is 130 . Answer

3 0

2 years ago

Which estimate is closest to the answer of this number sentence?

spayn [35]

The answer is 11 :)))))

3 0

2 years ago

Can someone please help me with these questions!! Thanks,

fiasKO [112]

6a. 1 - 2sin(x)² - 2cos(x)² = 1 - 2(sin(x)² +cos(x)²) = 1 - 2·1 = -1

6c. tan(x) + sin(x)/cos(x) = tan(x) + tan(x) = 2tan(x)

6e. 3sin(x) + tan(x)cos(x) = 3sin(x) + (sin(x)/cos(x))cos(x) = 3sin(x) +sin(x) = 4sin(x)

6g. 1 - cos(x)²tan(x)² = 1 - cos(x)²·(sin(x)²)/cos(x)²) = 1 -sin(x)² = cos(x)²

8 0

3 years ago

A rectangle has a length that is 9 feet less than four times its width. Its area is 90 square feet

kramer

Answer:

The length of rectangle is $15\ ft$

The width of rectangle is $6\ ft$

Step-by-step explanation:

Let

x-----> the length of rectangle

y----> the width of rectangle

we know that

The area of rectangle is equal to

$A=xy$

$A=90\ ft^{2}$

$90=xy$ -----> equation A

$x=4y-9$ -----> equation B

substitute equation B in equation A and solve for y

$90=(4y-9)y$

$4y^{2}-9y-90=0$

using a graphing calculator

The solution is

$y=6\ ft$

Find the value of x

$x=4y-9$ -----> $x=4(6)-9=15\ ft$

5 0

3 years ago