A company claims that its tablet computers have an average recharge time of 3 hours. Using a random sample of 50 company tablet computers, a consumer group determines a mean recharge time of 2.5 hours with a standard deviation of 0.3 hours.

Step-by-step explanation:

draw a number line and plot on 7 and make an arrow at the other end of the line

Answer:

First find the inner angle:

[ given hypotenuse = 500 ft ]

using sine rule:

[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]

[tex]\hookrightarrow \sf sin(61)= \dfrac{x}{500}[/tex]

[tex]\hookrightarrow \sf x=sin(61)*500[/tex]

[tex]\hookrightarrow \sf x=437.3[/tex]

using pythagoras theorem:

Answer:

y = 242.4 ft (nearest tenth)

Step-by-step explanation:

Using the Alternate Interior Angle Theorem
the angle opposite side [tex]y[/tex] is 29°

Using the sine trig ratio:

[tex]\sf sin(\theta)=\dfrac{O}{H}[/tex]

where:

Given:

Substitute given values and solve for y:

[tex]\sf \implies sin(29)=\dfrac{y}{500}[/tex]

[tex]\sf \implies y=500sin(29)[/tex]

[tex]\sf \implies y=242.2\:ft\:(nearest\:tenth)[/tex]

Answer:

A=2πrh+2πr2 this is the surface are formula of a cylinder. You already know the scale ratio is 2.5 so the answer is (2.5*surface area formula). For the formula just plug in the values for the radius and the height that is given and solve.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i hope this helped

Answer:

That'd be B.  The red graph has the classic shape of an exponential function (y-intercept (0,1), and the blue on e has the shape of a log function (x-intercept (1,0).  These two functions are inverses of one another, and so their graphs are reflections about the line y = x.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

a² + b² = c²

5² + b² = 13²

25 + b² = 169

b² = 144

b = 12

Answer: 12

Answer:

12

Step-by-step explanation:

Using the Pythagorean theorem, we can use [tex]c^{2}-a^{2}[/tex] to find b. 169-25 equals 144. [tex]\sqrt{144}[/tex] equzls 12.

Answer:

$13.52

Step-by-step explanation:

Since we know the tax rate is 6%, we can multiply by 12.75*6/100 to get how much the tax would be added to the total. We get 0.765. And now we add 0.765 and 12.75 to get 13.515. Since it's asking to round to the nearest cent, we get $13.52

Answer:

Step-by-step explanation:

The values of angles are written below,

a° = 121°

b° = 53°

c° = 87°

d° = 72°

The Inscribed Angle Theorem: This theorem states that the measure of an inscribed angle in a circle is equal to half the measure of the intercepted arc.

In other words, if an angle is formed by two intersecting chords in a circle, the measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle.

The values of angles are calculated as,

a = (2 x 108 ) - 9 5

a = 121°

b = 360 - ( 121 + 95 + 91 )

b = 53°

c = (121 + 53 ) / 2

c = 87°

d = ( 91 + 53 ) /2

d = 72°

Therefore, the values are a = 121°, b = 53°, c = 87°, and d = 72°.

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Answer:

Step-by-step explanation:

The domain is the set of x-values in the ordered pairs.

So it is {0, 2, 5}

Yes it is a function as for each x value there is  1 y-value  (its a one-to-one function)

Answer:

115.50

Step-by-step explanation:

you times and divide the numbersto get to yy

The one possible solution can be yy = 10 and xx = 5 .

Inequality refers to the phenomenon of unequal and/or unjust distribution of resources and opportunities among members of a given society. The term inequality may mean different things to different people and in different contexts.

According to the question

Julia and her children went into a restaurant where ,

hamburgers (xx)= $7 each

tacos (yy) = $2.50 each.

Julia has $60 to spend and must buy a minimum of 14 hamburgers and tacos altogether.

i.e,    xx + yy ≥ 14  ----------------------------(1)

       7xx + 2.5yy ≤ 60 ----------------------(2)

from equation (1) and (2)  graph attached ...

solving both equation

multiplying equation (1) with -7

-7xx + -7yy ≤ -98 ----------------(3)

now adding equation (3) and (2)

-7xx + -7yy ≤ -98

7xx + 2.5yy ≤ 60

=   - 4.5yy ≤ -38

=    4.5yy ≥38

=     yy ≥ 8.4

now ,

yy        xx

9         5.35

10         5

11          4.64

Hence, one possible solution can be yy = 10 and xx = 5

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Answer:

X+y=23 (x and y added equal the number of baskets made)

2x+3y=53 (since each basket is worth a certain amount of points, x and y must be multiplied by their amount of baskets and added together to get the total number of points)

Hope this helps!

Answer:

30°

Step-by-step explanation:

145-115=30°

it is the answer

Answer:

30

Step-by-step explanation:

Since Angle FGH=FGJ+JGH, we can set the equation 145=115+x

[tex]145=115+x\\145-115=x\\30=x[/tex]

7x + 4 = 46

7x = 46-4

7x = 42

x = 42/7

x = 6

THEREFORE, x = 6

HOPE IT HELPS :)

Answer:

  3

Step-by-step explanation:

A polynomial is sometimes easier to evaluate if it is first written in Horner form:

  -2x^2 -4x +3 = (-2x -4)x +3

For x = -2, this is ...

  (-2(-2) -4)(-2) +3 = 0(-2) +3 = 3

The value is 3 when x = -2.

Answer:

[tex]\frac{16}{225}[/tex]

Step-by-step explanation:

When attempting probability problems we want to figure out the chances of something happening. This turns into something like:

[tex]\frac{\text{marble drawn}}{\text{total marbles}}[/tex]

In this case we have 8 red marbles, 2 green marbles, and 5 blue marbles in a bag. That brings us to a total of 15 marble.

Since we want to first draw a red marble the chance of that happening would be:

[tex]\frac{8\text{(the marble drawn)}}{15\text{(total # of marbles)}}[/tex]
Now we replace the marble as stated in the problem so we then draw the next marble, which is green.

[tex]\frac{2\text{(the marble drawn)}}{15\text{(total number of marbles)}}[/tex]

All that's left is to multipy the values we got:

[tex]\frac{8}{15} *\frac{2}{15}=\frac{16}{225}[/tex]

That's our answer.

Answer:

x is less than or equal to 272

Step-by-step explanation:

you can spend 272 but you can't go over 272.

Answer:

Try the a2 +b2=c2

Step-by-step explanation:

Try putting attention next time

The circumference of the smaller circle is C =  2*pi*x/3.

We have given that radius ob measures x units

circumference of the circle is given by,

[tex]C = 2\times \pi \times R[/tex]

where pi = 3.14

R= radius

we have two circles, A and B, where B is the larger circle and A is the smaller circle.

We know that,The circumference of B is 3 times the circumference of A.

The radius of circle B is OB = x

The radius of circle A is OA

We want to find an expression of OA.

The circumference of circle B is given by

[tex]C(B) = 2\times \piOB = 2\times pi\times x[/tex]

The circumference of circle A  is given by

[tex]C(A) = 2\times\pi\times OA[/tex]

we know that the circumference of circle B is 3 times the circumference of circle A,

[tex]C(B) = 3\times C(A)[/tex]

replacing the equations for the circumferences

[tex]2\times\pi\times x = 3\times (2\times pi\times OA)[/tex]

We have divide both sides by [tex]2\pi[/tex]we get:

[tex]x = 3\times OA[/tex]

Now we want to solve this for OA, then we need to isolate it,

[tex]x/3 = OA[/tex]

We can conclude that the radius of the smaller circle is equal to x/3.

Then the circumference of circle A is

[tex]C(A) = 2\times pi\times x/3[/tex]

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Answer:

c

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

If we add all of the student's scores we get 273. Because there are 3 students we divide 273 by 3 and we get 91 as the average.

Answer: 45

Step-by-step explanation:

The Median is the Middle # in the set.

I hope this helps!

Answer:

Step-by-step explanation:

V = B×H ⇒ H = V ÷ B

H = 729 ÷ 108 = 6.75 inches

Answer:

h = 6.75 inches

Step-by-step explanation:

The volume (V) of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

here V = 729 and A = 108 , then

108h = 729 ( divide both sides by 108 )

h = 6.75 inches

Answer:

The answer that makes sence to me is C (-3, 4)

Step-by-step explanation:

Answer:

-4x - 3

Step-by-step explanation:

4x + 3 + y = 0

y is additive inverse

y = -4x - 3

-4x - 3 + 4x + 3 = 0

0 = 0

cancels out

Answer:

A = C = 115°

B = 65°

D = E = 45°

Step-by-step explanation:

65° + C = 180° or 65° + A = 180°, They are supplementary angles that are linear pair that add up to 180°.

A = C = 115°

B° = 65° Vertical Angles meaning they are equal to each other.

D and E are equal to cheat other since the lines on the sides mean that are isosceles.

D + E + 90° = 180°

D + E = 90°

2x = 90

x = 45°

D = E = 45°

Answer:

[tex]u^{2n+1}[/tex]

Step-by-step explanation:

Assuming you mean [tex]u^nu^{n+1}[/tex], then [tex]u^nu^{n+1}=u^{n+n+1}=u^{2n+1}[/tex].

Answer:

[tex]\Longrightarrow: \boxed{\sf{u^2^n+1}}[/tex]

Step-by-step explanation:

This equation can be solved simply by multiplying by the variable to isolate them on one side.

[tex]\Longrightarrow: \sf{u^n*u^n+1}[/tex]

[tex]\sf{u^n*u^n=u^2}\\\\\\\sf{= (u^2)^n}[/tex]

Solve.

[tex]\sf{\left(u^2\right)^n=u^{2n}=\boxed{\sf{u^{2n}+1}}[/tex]

Therefore, the final answer is [tex]\boxed{\sf{u^{2n}+1}}[/tex].

Answer:

x = 52

Step-by-step explanation:

49° is the vertical angle of the triangle.

-> measure of other angle of triangle = 49°

By exterior angle theorem:

x° + 49° = 101°

-> x° = 101° - 49°

-> x° = 52°

-> x = 52

Answer:

f(4)=-10

x=0

Step-by-step explanation: