Manuel is preparing to run in a race. He has developed a training program in which he increases his running distance each day. If he continues to follow the same pattern, what distance will he run on the fifth day.
Day 1 -- 1 mile
Day 2 -- 2 miles
Day 3 -- 4 miles
Day 4 -- 7 miles

A.) 8 miles
B.) 9 miles
C.) 11 miles
D.) 14 miles

Answer:9.8

Step-by-step explanation:

I give up on deltamath

50,000 because 8 is larger than 5 so you round up to 5 in the ten thousands place.

Answer:

A. 384.16

B. 2,401

C. 9,604

D. No

Step-by-step explanation:

Calculation to determine how large a sample should be taken for each desired margin of error

First step is to find σ which represent Population Standard deviation

σ=($50,000-$30,000)/4

σ=$20,000/4

σ = 5,000

Now let calculate how large a sample should be taken for each desired margin of error

Using this formula

n = (Za/2*σ/E)^2

Where,

Za/2=1-0.95/2

Za/2=0.05/2

Za/2=0.025

Z-score 0.025=1.96

Za/2=1.96

σ =5,000

E represent Desired margin of error

Let plug in the formula

a. $500

n = (1.96* 5,000/$500)^2

n=(9,800/$500)^2

n=(19.6)^2

n = 384.16

b. $200

n = (1.96*5,000/200)^2

n=(9,800/$200)^2

n=(49)^2

n = 2,401

c. $100

n = (1.96*5,000/$100)^2

n=(9,800/$100)^2

n=(98)^2

n = 9,604

Therefore how large a sample should be taken for each desired margin of error will be :

A. $500= 384.16

B. $200= 2,401

C. $100= 9,604

d.NO, Based on the information calculation i would NOT recommend trying to obtain the $100 margin of error reason been that it is highly costly compare to $500 margin of error and $200 margin of error.

Step-by-step explanation:

Option c shows line segment because it has no arrow marks

The diagram is missing, so i have attached it.

Answer:

h = 7.7 cm

Step-by-step explanation:

From the attached image, we can see that the hypotenuse is 15 cm with the opposite side being h cm.

The angle is 31°

Thus, using trigonometric ratio, we have;

h/15 = sin 31

h = 15 sin 31

h = 15 × 0.5150

h = 7.725

Approximating to 1 decimal place gives;

h = 7.7 cm

Answer:2.10%

Step-by-step explanation:

2 is the whole number with 1/10 being also = to 10/100s

Answer:

1. 6cm

2. 14cm

3. 12cm

4. 8cm

5. 9cm

6. 5cm

Step-by-step explanation:

Hope this helps

Answer:

2w = -3 + 5

W = 2

Step-by-step explanation:

Answer:

8.v = r 2 πh 3

Step-by-step explanation:

Answer:

The cost of the roses are $53.10

Celebration! Hope this helps ^_^

Answer:

its a

Step-by-step explanation:

did it on khan 2021

Answer:

If x=6 & y=2 then 9+3+x-y wil be

9+3+6-2

=12+6-3

=18-3

=15

Answer:

Given, x=6 and y=2

so the expression we have 9+3+x-y will become,

9+3+6-2 !

and by adding 9 & 3 we will get,

=12+6-3

Now adding 12 & 6 we get,

=18-3

now by subtracting 3 from 18 we get,

=15

Answer:

A

Step-by-step explanation:

the answer is

x+15=28

x=28-15

x= 13

Answer:

A

Step-by-step explanation:

x+15=28

move 15 to the other side

and change the + to -

x=28-15

x=13

Hi the answer should be 4

Answer:

1) 2 5/9

2) 4 5/6

3) 4 3/8

4) 5 3/5

5) 7 1/3

6) 6 1/9

7) 7 1/8

8) 2 2/9

9) 5 3/4

Step-by-step explanation:

Hope this helps

Answer:

it will be the first one

Step-by-step explanation:

Answer:

15 girls.

Step-by-step explanation:

Hope this helps!

Answer:

15 girls

Step-by-step explanation:

2:3 ratio

If you know the amount of boys, then 2x=10, x=5

Now you know that the scale factor is 5

So, multiply 5*3 to get the amount of girls

Answer:

the agv speed is 223

Step-by-step explanation:

Answer:

51.42 avg mph

Step-by-step explanation:

45+45 = 90 miles total for 1 3/4 hours

90/.75 = 51.42 avg mph

Answer:

a) 20 sixth graders.

b) 6 sixth graders.

c) 2/9x sixth graders.

d) 189 students in the school.

Step-by-step explanation:

a) 2/9 of 90 = 2/9 * 90 = 20 students.

b) 2/9 of 27 = 2/9 * 27 = 6 students.

c) 2/9 of x = 2/9x

d) 42 = 2/9x so solve the equation: x = 189 students.

If we have 90 students in the school then we will have  20 sixth grade students.

a. From the details of the question, we have 2/9 of the students in the school in sixth grade. Hence;

Number of students in sixth grade = 2/9 × 90 = 20 sixth grade students

b. If the school has 27 students, number of sixth graders =  2/9 ×  27 = 6 sixth grade students

c. If we have x students in the school, the number of sixth graders =  2/9 × x = 2/9x students

d. If we have 42 students in sixth grade, the number of students in the school is;

2/9 × x = 42

x = 9/2 × 42 = 189 students

Learn more about fractions: https://brainly.com/question/1301963

Answer: 22.1°

Step-by-step explanation:

Applying law of sines, we have:

8² = 19² + 14² - 2*14*19 * Cos(x)

64 = 557 - 532*cos(x)

64 - 557 = -532*cos(x)

-493 = -532*cos(x)

Divide both sides by -532

-493/-532 = cos x

0.926691729 = cos x

x = cos^-1(0.926691729)

x = 22.1° (nearest tenth)

Answer:

62.5%

Step-by-step explanation:

150/240=0.625

you do 0.625x100 to get the percent.

Answer:

B and C is your answer BH x 1/2 is formula of triangle and formula of rectangle/parallelogram is BH

Answer:

131.95888888888888

Step-by-step explanation:

Your Welcome :)

Answer:

12cm²

Step-by-step explanation:

a=l·w

the easiest way to find the area is to break up the shapes.

the smaller shape is 1cm by 2cm

1·2= 2 cm

the larger shape is 5cm by 2cm

5·2= 10 cm

add them

2+10= 12cm

Answer:

12cm^2

Step-by-step explanation:

These are two rectangles if we divide.

So,

Area of rectangle = length × breadth

So we will name the bigger rectangle as R1 and the smaller rectangle as R2.

So,

Area of R1 = l × b

Area of R1 = 5×4

Area of R1 = 5 × (4-2)

Area of R1 = 5 × 2

Area of R1 = 10 cm^2

Area of R2 = l × b

Area of R2 = (4-2) ×1

Area of R2 = 2 × 1

Area of R2 = 2cm^2

So,

Area of complete figure = Area of R1 + Area of R2

Area of complete figure = 10 + 2

Therefore, Area of complete figure = 12cm^2

Hope it helps!!!!

Answer:

the angle between the diagonal is 0.6155 RADIANS

Step-by-step explanation:

Given the data in the question

as illustrated in the image below;

O is [0,0,0]

B is [15,0,15]

E is [15,15,15]

Now to find angle BOE

vector OB = [15,0,15]

vector OE = [15,15,15]

OB.OE = [15,0,15].[15,15,15] = 15 × 15 + 15 × 15 = 450 = |OB||OE|cos[angleBOE]

|OB| = √(15² + 15²) = √(225 + 225) = √450

|OE| = √(15² + 15² + 15²) = √(225 + 225 + 225) = √675

so

Angle BOE = cos⁻¹ (  450 / ( √450 × √675 )

Angle BOE = cos⁻¹ ( 0.81649 )

Angle BOE = 35.265°

Angle BOE = 0.6155 RADIANS

Therefore, the angle between the diagonal is 0.6155 RADIANS  

Answer:

Step-by-step explanation:

A parallelogram can always be decomposed into two identical triangles by a segment that connects opposite vertices. Going the other way around, two identical copies of a triangle can always be arranged to form a parallelogram, regardless of the type of triangle being used.