A quality control engineer is testing the battery life of a new smartphone. The company is advertising that the

battery lasts 24 hours on a full-charge, but the engineer suspects that the battery life is actually less than that.

They take a random sample of 50 of these phones to see if their average battery life is significantly less than 24

hours.

Let u represent the mean battery life for this population of phones.

Answer: 3x=3

Step-by-step explanation: Let's divide this into parts--

1. Adding the x variables: -2x+5x or 5x-2x = 3x.

2. Adding the y variables: y-y or -y+y = 0. (The negative and the positive y cancel each other out.)

3. Adding the numbers: 8-5 or -5+8 = 3.

Now just put it back into an equation: 3x + 0 = 3.

We don't need to add the 0, so the equation changes into 3x = 3.

Answer:

6 runners

Step-by-step explanation:

Complete question

A relay race covers 1 1/2 kilometers, and each runner on a team will run 1/4 of a kilometer.  How many runners are needed for a team?

Given that;

1 runner = 1/4 km

If a relay race covers  1 1/2 km, hence;

x runner = 1 1/2 km

Divide both expressions

1/x = (1/4)÷(1 1/2)

1/x = 1/4 ÷ 3/2

1/x = 1/4 * 2/3

1/x = 2/12

Cross multiply

2x = 12

x = 12/2

x = 6

Hence 6 runners are needed for the race

Answer:

393

Step-by-step explanation:

(32)(12) + 9

This comes out to 384 + 9 = 393

Answer:

movie A

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Movie A

Step-by-step explanation:

Answer:

it should be c = 5f/9 - 160/9 if solving for c.

Answer:

[tex]Pr = \frac{1}{870}[/tex]

Step-by-step explanation:

Given

[tex]n =30[/tex]

Required

Probability of selecting 2 toys of different types

From the question, we understand that all toys are different i.e. 1 of each type.

And the selection is without replacement;

So, after the first toy is selected; there are n - 1 toys left.

So, the probability is:

[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]

Substitute [tex]n =30[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]

[tex]Pr = \frac{1}{30*29}[/tex]

[tex]Pr = \frac{1}{870}[/tex]

eq^2: 7x=84 divide 84 by 7 which is 12.

therefore x is equal to 12. Then

1) take that 12 you got in equation 2 and substitute in equation 1 which is:

7x-12y=180

7(12)-12y=180

84 -12y=180

-12y=180-84

-12y=96 ............divide both sides with -12

-y=8 (×-1) both sides

y= -8

therefore 7(12)-12(-8)=180

Answer:

see explanation

Step-by-step explanation:

f(x)= -2(x²+8x+16)-5

[tex] -2 {x}^{2} - 16x - 32 - 5 \\ f(x)= - 2 {x}^{2} - 16x - 37[/tex]

Answer:

x>-2

Step-by-step explanation:

So, lets start by distrubuting the -3 to x:

-3x-4<2

Then lets just start solving. First lets add 4 to both sides to get -3x alone:

-3x<6

Now lets divide -3 from both sides to get x alone:

x<-2

There is one thing we must remember, however.

When dividing a inequality by a negative, the sign is flipped.

So in this case, the < is now >:

x>-2

This basically means a solution is any value greater than -2!

Hope this helps!

Answer:

Hello! Your answer would be, D)

Step-by-step explanation:

Hope I helped! Ask me anything if you have more questions! Brainiest plz Have a nice mourning! Hope you make an 100%! -Amelia♥

Answer:

$25.00

Step-by-step explanation:

well start of by using the rules of 3.

( always remeber that multiply is diagonal and divide left by one on the left)

Answer:

Step-by-step explanation:

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Answer:

[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}[/tex] = 8

Step-by-step explanation:

The given expression is :

[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}[/tex]

We know that,

[tex]\dfrac{1}{x}=x^{-1}[/tex]

So,

[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}=(\dfrac{1}{2^2})^{\dfrac{-3}{2}}\\\\=(2^{-2})^{\dfrac{-3}{2}}\\\\=(2^{-1})^{-3}\\\\=2^3\\\\=8[/tex]

So, the value of the given expression is 8.

Answer:

I think the answer is C or D

Answer:

Step-by-step explanation:

Use the formula of distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

1. Distance between A(3, 4) and B(8, 12),

  AB = [tex]\sqrt{(8-3)^2+(12-4)^2}[/tex]

  AB = [tex]\sqrt{25+64}[/tex]

        = [tex]\sqrt{89}[/tex]

        ≈ 9.43

2. Distance between C(-2, 10) and D(3, -2),

   CD = [tex]\sqrt{(3+2)^2+(-2-10)^2}[/tex]

         = [tex]\sqrt{25+144}[/tex]

         = [tex]\sqrt{169}[/tex]

         = 13.00

3. Distance between X(20, 4) and Y(17, 0),

    XY = [tex]\sqrt{(20-17)^2+(4-0)^2}[/tex]

          = [tex]\sqrt{3^2+4^2}[/tex]

          = [tex]\sqrt{25}[/tex]

          = 5.00

4. Distance between E(2, -1) and M(6, 9),

    EM = [tex]\sqrt{(2-6)^2+(-1-9)^2}[/tex]

          = [tex]\sqrt{16+100}[/tex]

          = [tex]\sqrt{116}[/tex]

          = 10.77

Answer:

64

Step-by-step explanation:

1=3+5+7....S8 and ..... is 64

Answer:

[tex] solution \: set = \{ ... - 2, \: - 1, \: 0, \: 1, \: 2, \: 3\}[/tex]

Step-by-step explanation:

[tex]8x - 3 < 29 \\ \\ 8x < 29 + 3 \\ \\ 8x < 32 \\ \\ x < \frac{32}{8} \\ \\ x < 4 \\ \\ solution \: set = \{ ... - 2, \: - 1, \: 0, \: 1, \: 2, \: 3\}[/tex]

Answer:

x = 5

Step-by-step explanation:

using the Pythagorean theorem:

x² = 13² - 12² = 169 - 144 = 25

x = √25 = 5

Answer:

x = 5.

Step-by-step explanation:

For a right triangle, use the Pythagorean Theorem, a² + b² = c², where a and b are the sides, and c is the hypotenuse.

a² + b² = c²

x²+ 12² = 13²

x² + 144 = 169

Subtract 144 from both sides.

x² = 25

x = 5.

Proof:

a² + b² = c²

5² + 12² = 13²

25 + 144 = 169

169 = 169.

Answer:

[tex]14.1[/tex]

Step-by-step explanation:

Since we have two sides of a triangle and the angle between them, we can use the Law of Cosines.

For any triangle, the Law of Cosines states:

[tex]b^2=a^2+c^2-2ac\cos B[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are all interchangeable.

Substituting given values, we have:

[tex]b^2=9^2+19^2-2(9)(19)\cos 45^{\circ},\\b^2=200.169480834,\\b\approx \boxed{14.1}[/tex]

Answer:

Cada unidad integra los cinco bloques, según el ajuste curricular de Lengua y ... Escribo la letra de la palabra del recuadro, que corresponde al ... Completo el cuadro con las características antes señaladas. ... literarios con nuevas versiones de escenas, personajes u otros elementos. ... oración que presente al animal.

Step-by-step explanation:

Answer:

y = -2

Step-by-step explanation:

SOLUTION :-

Solve the equation.

[tex]=> y - 8 + 8 = -10 + 8[/tex]

[tex]=> y = -2[/tex]

∴ y = -2

VERIFICATION :-

To verify the solution of y , just put the solution (y = -2) in place of y in equation and check whether L.H.S = R.H.S.

L.H.S :-

-2 - 8 = -10

R.H.S. :-

-10 (already given)

⇒L.H.S. = R.H.S. (verified)

Answer:

Lateral surface area means curved surface area

Total surface area means curved surface area + surface area of the bottom and top.

So i think its false

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Based on the question given :

Total pounds of cheese = 12

These cheese are sliced into 1/4 pounds and 1/2 pounds packages.

What the question requests is the number of 1/2 pounds fraction we can get from the total 12 pounds of cheese.

This means we aren't cutting out 1/4 pounds fraction from this package as the question didn't specify.

Hence, the number of 1/2 pounds fraction obtainable from 12 pounds of cheese I s:

We divide the 12 pounds cheese by 1/2

This gives :

12 ÷ 1/2 ; 12 / 1/2

÷ change to multiplication ond the reciprocal of the denominator is used

12 * 2 /1 = 24 /1

We Obtain 24 1/2-pound cheese

[tex]2x - 8 = x + 4[/tex]

Collecting like terms,

[tex]2x - x = 4 + 8[/tex]

Since the signs change when its position changes.

[tex]x = 8 + 4 \\ x = 12[/tex]

Answer:

The value of x would be 12.

Step-by-step explanation:

2x - 8 = x + 4

2x - x = 4 + 8

x = 12

Answer:

$150.75

Step-by-step explanation:

Find 24% of 228. 54.72

Subtract that. 228 - 54.72 = 173.28

Find 13% of 173.28. 22.53 (Rounded)

Subtract that.

150.75 is the final price.

Answer:

$150.76

Step-by-step explanation:

1. Find 24% of the original value which is 228(.24)= 54.78

2. Subtract 54.78 from 228 to get 173.28

3. Find 13% of new value (173.28) which is 22.52

4. Subtract 22.52 from 173.28 to get you final answer of $150.76

Answer:

f

Step-by-step explanation:

because it's less than mine not less nine

Answer:

Infinetly Many Solutions

Step-by-step explanation:

Because the arrows show the the answers are never ending.

Answer:

4 is the diameter

Step-by-step explanation:

Given:

C = 4π

Formula for circumference:

C = 2πr

Work:

C = 2πr

4π = 2πr

r = (4π)/(2π)

r = 2

Diameter:

d = 2r

d = 2(2)

d = 4

Answer:

7 1/2

Step-by-step explanation:

Answer:

7.5, 0.42857142857, 0.41666666666, .4, .375

Step-by-step explanation:

3/.4

3/7

3/7.2

3/7.5

3/8