Previously, an organization reported that teenagers spent of 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0.

Required:
Conduct a hypothesis test.

Answer:

60m²

Step-by-step explanation:

Area of the trapezoid attached = 1/2(a+b)*h

a and b are the opposite sides

h is the height

Given

a = 18m

b = 12m

h = 4m

Substitute

Area of the trapezoid = 1/2(18+12)*4

Area of the trapezoid = 1/2 * 30 * 4

Area of the trapezoid  = 120/2

Area of the trapezoid  = 60m²

Hence the area of the lawn is 60m²

Answer:

26/50 bc she did it 26 out of 50 times ??

Answer:

The answer is A

Step-by-step explanation:

why it is a is...

the first like is the # your arithmetic sentence starts with which is -1

the second line is what you do to get to the next #

each time you are adding 6

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is A.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

[tex]a_n = a_1 + (n-1)d[/tex]

Also, the recursive formula for any arithmetic series is given by the formula,

[tex]a_n = a_{(n-1)} + d\\\\[/tex]

Or, it can be also written as,

[tex]a_{(n+1)} = a_{n} + d[/tex]

where d is the difference and a₁ is the first term of the sequence.

For the given arithmetic sequence, the common difference can be written as,

Common difference = -1 - (-7)

                                  = -1 + 7

                                  = 6

Now, the recursive formula for this arithmetic sequence can be written as,

[tex]a_n = a_{(n-1)} + 6[/tex]

Also, the first term of the given arithmetic series is -7.

a₁ = -7

Hence, the correct option is A.

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Answer:

240

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:jeans = x = 16.85

shirts = y = 8.95

Step-by-step explanation:

That’s the answer bud

Answer:

30 thousands, or 30,000 units.

Step-by-step explanation:

Since the question refers to 10 x 3 thousands, to determine how many thousands are in the answer, the following calculation must be performed:

10 x 3 = 30

So there are 30 thousand in the answer, which is equal to 30,000.

Answer:

D = 9sin(2π(t + a)/24) + 45

Step-by-step explanation:

Let's find the average temperature;

(54 + 36)/2 = 45°

Amplitude = 54 - 45 = 9

From the wave equation, we can write the temperature as;

D = 9sin(2π(t + a)/24) + 45

Where;

D is the temperature

t is the time in hours after midnight

a is a "phase" that is used to set the time at which temperature(D) occurs

Answer:

B. $700

Step-by-step explanation:

The answer is A because.....

Step 1: Find the 7% of 2000.

a.) 7% of 2000 is 140.

b.) Check- So: 140/2000= 0.07 (7%)

Step 2: Multiply 140x5 which equals $700.

Although, I can’t really see the second question‘s options, as the calculations made for the previous question, she paid $140 each year.

I rlly hope this is helpful! If so, please, please, please mark brainliest! Thanks! :)

Answer:

c

Step-by-step explanation:

50/50 since there are 2 sides, and 1 is heads

---

hope it helps

Da.mn that sucks for you

Answer:

$21

Step-by-step explanation:

Answer:

B. (b x d) - c

Step-by-step explanation:

i. -(a x d) + b

= -(6 x [tex]\frac{1}{2}[/tex]) + 8

= -3 + 8

= 5

ii. (b x d) - c

(8 x [tex]\frac{1}{2}[/tex]) - 4

= 4 - 4

= 0

iii. 2(b x f) + a

= 2(8 x [tex]\frac{1}{4}[/tex]) + 6

= 4 + 6

= 10

iv. (a x e) - c

= (6 x [tex]\frac{1}{3}[/tex]) - 4

= 2 - 4

= -2

Thus, the expression which is equivalent to 0 is that of option B.

Step-by-step explanation:

the area of the half-circle:

πr² /2= 3.14* 20² /2= 3.14 * 400 /2 =1256/2=628cm²

50*80/2=2000cm²

Shaded area:

2000-628=1372cm²

Answer:

Step-by-step explanation:

The shaded area is a trapezoid minus the area of half a circle.

T=h(b1+b2)/2

T=40(50+80)/2

T=2600cm^2

Now the area of the half circle

C=(pi r^2)/2

C=(400pi)/2

C=200pi

So the shaded area is

A=2600-200pi

A=1972 (rounded to nearest 1)

Answer:

Answer:

(-21, -38)

Step-by-step explanation:

Given the simultaneous equation

10x-6y = 18 ... 1

9x+6y=39 ...2

Using the Elimination method

Subtract

10x - 9x = 18 - 39

x = -21

substitute x = -21 into 1;

From 1:

10x-6y = 18

10(-21)-6y = 18

-210 - 6y = 18

-6y = 18+210

-6y = 228

y = 228/-6

y =-38

Hence the solution to the system is (-21, -38)

Answer:

24

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Answer:

y=-3/4x+3

Step-by-step explanation:

The formula is y=mx+b

m is the slope

b is the y-intercept

If you plug it in, you get y=-3/4x+3

Hope this helps!

Answer:

x = 90 degrees

Step-by-step explanation:

the above figure is of a circle, so the sum of the measures of angles will be 360 degrees.

measure of arc = measure of the angle inscribed by the arc

therefore, the measure of arc JK will also be x...... ( vertically opposite angles)

therefore, x + x + 30 + (2x - 30) = 360 .....(1)

therefore, 2x + 30 + 2x - 30 = 360

therefore, 4x = 360.....( as -30 and +30 will be cancelled)

therefore, x = 90 degrees

Cross correction:-

by putting in x = 90 in (1)

90 + 90 + 30 + 2*90 - 30 = 360

180 + 30 + 180 - 30 = 360

180 + 180 = 360

so, x= 90 degrees is verified.

Answer:

-9 1/4

Step-by-step explanation:

Answer:

i also need help

Step-by-step explanation:

do it yourself

Answer:

the last answer... i hope this helps

Step-by-step explanation:

Answer:

Twice as many students had 3 brothers or sisters as students who had 1 brother or sister

Step-by-step explanation:

Im certain. Pls mark brainliest

Answer:

the original volume is lesser than the new volume by 242.47 in³

Step-by-step explanation:

Volume of a cone is;

V = ⅓πr²h

Where;

r is radius

h is height

For the original chamber;

r = 5.7/2 = 2.85 inches

h = 12 inches

Volume of this original chamber is;

V_orig = ⅓ × π × 2.85² × 12

V_orig = 102.02 in³

In the new design, the chamber is scaled by a factor of 1.5.

Thus;

r_new = 2.85 × 1.5 = 4.275 inches

h_new = 12 × 1.5 = 18 inches

V_new = ⅓ × π × 4.275² × 18

V_new = 344.49 inch³

V_new - V_orig = 344.49 - 102.02 =

Thus, the original volume is lesser than the new volume by 242.47 in³

Answer:

271.25 mg

Step-by-step explanation:

The amount of medicine will be equal to 271.25 mg.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that a veterinarian prescribed Christy, a 31-pound dog, an antibacterial medication in case an infection emerges after her teeth were cleaned. The dosage is 8.75 mg for every pound.

The amount of medicine will be calculated as below:-

Amount = 31 x 8.75

Amount = 271.25 mg

Therefore, the amount of medicine will be equal to 271.25 mg.

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9514 1404 393

Answer:

  58.5 ft by 39 ft

Step-by-step explanation:

Let x represent the length of the two horizontal segments. Then the three vertical segments will be ...

  (234 -2x)/3

The total enclosed area is the product of these dimensions:

  A = (x)(234 -2x)/3

  A = (2/3)(x)(117 -x)

This is the equation of a downward-opening parabola with zeros at x=0 and x=117. The maximum of the parabola will be on the line of symmetry, halfway between these zeros. The value of x there is ...

  x = (0 +117)/2 = 58.5

The lengths of the vertical segments are ...

  (2/3)(117 -58.5) = 2/3(58.5) = 39

The dimensions of the region enclosing the maximum area are 58.5 ft by 39 ft. The additional vertical segment is 39 ft.

_____

Comment on maximum area problems

You may have noticed that the total length of the fence allocated to the long sides (2×58.5 = 117) is half the total length of fence and is equal to the total length of fence allocated to the short sides (3×39 = 117).

This relationship is true in all rectangular fencing problems where the area is being maximized for a given total fence length. It doesn't matter how many partitions there are in either direction: the total of horizontal lengths is equal to the total of vertical lengths.