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2 years ago

In the past you paid $800

Mathematics

2 answers:

Vitek1552 [10]2 years ago

6 0

I think you are yousing to much lectrsestey

denis-greek [22]2 years ago

6 0

Answer:

12.5%

Step-by-step explanation:

800+12.5%=900

ur welcome

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Previously, an organization reported that teenagers spent 24.5 hours per week, on average, on the phone. The organization thinks

Lena [83]

Answer:

We need to develop a one-tail t-student test ( test to the right )

We reject H₀ we find evidence that student spent more than 24,5 hours on the phone

Step-by-step explanation:

Sample size n = 15 n < 30

And we were asked if the mean is higher than, therefore is a one-tail t-student test ( test to the right )

Population mean μ₀ = 24,5

Sample mean μ = 25,7

Sample standard deviation s = 2

Hypothesis Test:

Null Hypothesis H₀ μ = μ₀

Alternative Hypothesis Hₐ μ > μ₀

t (c) = ?

We will define CI = 95 % then α = 5 % α = 0,05 α/2 = 0,025

n = 15 then degree of freedom df = 14

From t-student table we get: t(c) = 2,1448

And t(s)

t(s) = ( μ - μ₀ ) / s/√n

t(s) = (25,7 - 24,5) /2/√15

t(s) = 2,3237

Now we compare t(c) and t(s)

t(c) = 2,1448 t(s) = 2,3237

t(s) > t(c)

Then we are in the rejection region we reject H₀ we have evidence at 95% of CI that students spend more than 24,5 hours per week on the phone

8 0

2 years ago

What’s the GCF of 4x^2-5x

juin [17]

The only thing you could factor out is X so it would be
X(4x-5)

5 0

2 years ago

Find the domain and range of the relation: {(–20, 11), (6, –8), (1, –20), (–13, 13)}

user100 [1]

Answer:

D: {-20, -13, 1, 6}

R: {-20, -8, 11, 13}

Step-by-step explanation:

Given the relation, {(–20, 11), (6, –8), (1, –20), (–13, 13)}, all x-values (inputs) make up the domain of the relation while all y-values make up the range of the relation.

Therefore:

Domain: {-20, -13, 1, 6}

Range: {-20, -8, 11, 13}

4 0

2 years ago

The width of a rectangle is (x+1) and the length is (x-6). What is the length and width of the rectangle if the area is 30 squar

jolli1 [7]

Answer:

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) = 10 feet

Step-by-step explanation:

Step(i):-

Given that the width of the rectangle = (x+1) feet

Given that the length of the rectangle = ( x-6) feet

The area of the rectangle = 30 square feet

Step(ii):-

We know that the area of the rectangle

= length ×width

30 = ( x+1)(x-6)

30 = x² - 6x + x -6

⇒ x² - 5 x - 6 = 30

⇒ x² - 5 x - 6 - 30 =0

⇒ x² - 5 x - 36 =0

x² - 9 x +4x - 36 =0

x (x-9) +4 ( x-9) =0

( x+4 ) ( x-9) =0

( x+4 ) =0 and ( x-9) =0

x =-4 and x =9

Step(iii):-

we have to choose x =9

The length of the rectangle (l) = x-6 = 9-6 =3

The width of the rectangle (W) = x+1 = 9 +1 = 10

Final answer:-

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) = 10 feet

5 0

2 years ago

I need help on my homework

soldi70 [24.7K]

Answer:

$\displaystyle m\angle AED=32.5^\circ$

Step-by-step explanation:

Angles in a Circle

An exterior angle of a circle is an angle whose vertex is outside a circle and the sides of the angle are secants or tangents of the circle.

Segments AE and DE are secants of the given circle. They form an exterior angle called AED.

The measure of an exterior angle is equal to half the difference of the measure of their intercepted arcs.

Intercepted arcs in the given circle are AD=113° and BC=48°. The exterior angle is:

$\displaystyle m\angle AED=\frac{AD-BC}{2}$

$\displaystyle m\angle AED=\frac{113^\circ-48^\circ}{2}=\frac{65^\circ}{2}$

$\displaystyle m\angle AED=32.5^\circ$

8 0

2 years ago