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3 years ago

What is the domain and range of y=-sqrt(x+3) -4

Mathematics

1 answer:

taurus [48]3 years ago

4 0

Y = -√(x + 3) + 4
y = -√(x + 3)² + 4
y = -(x + 3) + 4
y = -x - 3 + 4
y = -x + 4
y = x - 4

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A brochure claims that the average maximum height for a certain type of plant is 0.7 m. A gardener suspects that this is not acc

larisa [96]

Answer:

As $Z$ , it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.

Step-by-step explanation:

1. Relevant data:

$\mu=0.70\\N=40\\\alpha=0.05\\X=0.65\\s=0.20$

2. Hypotesis testing

$H_{0}=\mu=0.70$

$H_{1} =\mu< 0.70$

3. Find the rejection area

From the one tail standard normal chart, whe have Z-value for $\alpha=0.05$ is 1.56

Then rejection area is left 1.56 in normal curve.

4. Find the test statistic:

$Z=\frac{X-\mu_{0} }{\sigma/\sqrt{n}}$

$Z=\frac{0.65-0.70}{0.20/\sqrt{40}}\\Z=-1.58$

5. Hypotesis Testing

$Z_{\alpha}=1.56\\Z=-1.58$

$-1.58$

As $Z$ , it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.

4 0

3 years ago

X/3 - 13= 9 <br> Plz help its very confusing

Tpy6a [65]

Answer:

x = 66

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

6 0

3 years ago

Read 2 more answers

Add 0.0025 kg, 1750 mg, 2.25 g, and 825,000 μg, and express the answer in grams.

kozerog [31]

Answer:

6.75g

Step-by-step explanation:

The first step is converting everything to grams, by rules of three. Then we add.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 0.0025kg to g

Each kg has 1000g, so:

1kg - 1000g

0.0025kg - xg

x = 1000*0.0025 = 2.5g

0.0025kg = 2.5g

Second step: 1750 mg

Each g has 1000mg, so:

1g - 1000mg

xg - 1750mg

1000x = 1750

$x = \frac{1750}{1000}$

x = 1.75g

1750 mg = 1.75g

2.25g - OK

Third step: 825,000 μg to g

Each g has 1,000,000 ug, so:

1g - 1,000,000 ug

xg - 825,000 ug

1,000,000x = 825,000

$x = \frac{825,000}{1,000,000}$

x = 0.25g

825,000 μg = 0.25g

Final step: adding everyting

0.25g + 2.25g + 1.75g + 2.50g = 6.75g

5 0

3 years ago

(x-1)(x-3)(x+5)(x+7)=297

mihalych1998 [28]

First simplify the expression into polynomial form,

$(x-1)(x-3)(x+5)(x+7)=297$

$x^4+8x^3-10x^2-104x+105=297$

$x^4+8x^3-10x^2-104x-192=0$

Now factor into,

$(x-4)(x+8)(x^2+4x+6)=0$

Which means the solutions are,

$x-4=0\implies\boxed{x_1=4}$

$x+8=0\implies\boxed{x_2=-8}$

and then two complex solutions because determinant of the third factor $D\lt0$ ,

$x^2+4x+6=0$

$x^2+4x+4=-2$

$(x+2)^2=-2\implies\boxed{x_3=i\sqrt{2}-2},\boxed{x_4=-i\sqrt{2}-2}$

Hope this helps :)

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3 years ago

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Jay took out a small-business loan for 210,000. The terms of the loan are 5% annual interest for four years.

Marta_Voda [28]

5% of 210000=
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so 4 years will be $42000

he'll pay 42000 + 210000
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answer is B

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3 years ago

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