a floor plan is drawn using a scale of 3cm/15ft what length is represented by 1 centimeter ?

Answer:

96 or 108

Step-by-step explanatio

geometry texts refer to an angle with a measure of 180° as a straight angle. In Figure 12 , ∠ BAC is a straight angle.

Step-by-step explanation:

Answer:

The probability is 0.16602

Step-by-step explanation:

We start by calculating the z-score

We have this mathematically as;

z-score = (x-mean)/SD/√n

From the question,

we have x = 6.15

mean = 6.06 hours

standard deviation = 0.55 hours

n = 35

Substituting these values, we have

z-score = (6.15-6.06)/0.55/√35

z-score = 0.09/0.55/5.92

z-score = 0.97

So the probability we want to calculate is:

P ( z > 0.97)

we make use of the standard normal distribution table here

The value is; 0.16602

Answer:

We fail to reject the null hypothesis, we accept H₀

Step-by-step explanation:

Population proportion        p₀   =  55 %    p₀   =  0,55

Sample  size         n  =  280

Sample mean     p =  51 %            p =  0,51       q = 0,49

n*p   and  n*q   are both bigger than 10 therefore we can approximate the binomial distribution to a normal distribution

Test  Hypothesis

Null Hypothesis                             H₀                   p   =  p₀

Alternative Hypothesis                Hₐ                    p   ≠  p₀

Significance level is  α  = 0,05    but we have a two-tail test then

α/2  =  0,025

z(c)  =  - 1,96

Computing  z(s)

z(s)  =  ( p - p₀ ) / √(p*q)/n

z(s)  =  ( 0,51 - 0,55 ) / √(0,51*0,49)/280

z(s)  =  - 0,04 * 16,73 / 0,5

z(s)  =  -  1,34

Comparing

z(s)   and z(c)

- 1,34    <    - 1,96

| z(s) | < | z(c)|

Then z(s) is in the acceptance region,  we accept H₀

Answer:

$3.25

Step-by-step explanation:

The grapes costs $2.70 per pound but you're buying 2.5 pounds so take $2.70 x 2.5 = $6.75. Now u just take $10 - $6.75 which equals $3.25 and thats ur answer.

Answer:

You receive 3.25 cash back.

Step-by-step explanation:

2.70 x 2.5 = 6.75

6.75 + ? = 10

A = 3.25

Answer:

2,205 yd.

Step-by-step explanation:

1 yard=3 feet so you divide the number of feet by 3 to get the amount of yards.

Answer:

It would be equal to 15 - (18)

Answer:

it would actually be (B)

Answer:

See below.

Step-by-step explanation:

Multiplying terms with exponents make the exponents add together.

13.) x² · x⁵ = x⁷

14.) b⁵ ·  b³ = b⁸

15.) y⁴ · y⁷ = y¹¹

16.) m⁴ · m¹ = m⁵

Answer:

Part A. The girls have 7/8 pizza all together.

Part B. Samantha drank 5/10 or 1/2 water that day.

Step-by-step explanation:

Part A. The answer is 7/8 because 2/4 is the same thing as 4/8.

2/4 = 4/8

4/8 + 3/8 = 7/8.

So, for the first question the answer is 7/8.

Part B. The answer is 5/10 because 1/5 = 2/10

1/5 = 2/10

2/10 + 3/10 = 5/10

Hope this helps! :)

Answer:

Step-by-step explanation:

x > 36

Answer:

.

Step-by-step explanation:

.

Answer:

h=189

Step-by-step explanation:

solve for H by simplifying both sides of the equation, then isolating the variable.

hope this helped

Answer: Choice A) If Amber and Jorge each sell 5 trees in one week, they will earn the same amount

The amount they earn is $200 each.

========================================================

Explanation:

Let's form the equation for the amount Amber earns.

She starts off at $150, and then we add on 10x dollars. The 10x is because she earns 10 dollars per tree, and we have x be the number of trees sold.

Overall we can say her equation is y = 150+10x

This is the same as y = 10x+150

----------

Since Jorge's equation is y = 25x + 75, we can apply substitution to solve for x

y = 10x+150

25x+75 = 10x+150 .... replace y with 25x+75

25x+75-10x = 150 ... subtract 10x from both sides

15x+75 = 150

15x = 150-75 ... subtract 75 from both sides

15x = 75

x = 75/15 .... divide both sides by 15

x = 5

If they sell 5 trees per week, then Amber and Jorge earns the same amount of money.

That amount earned is

Amber: y = 10x+150 = 10*5+150 = 50+150 = 200 dollars

Jorge: y = 25x+75 = 25*5+75 = 125+75 = 200 dollars

Both earn $200 per week from selling 5 trees for that week. This helps confirm we have the right answer.

Answer:

Her usual time from home to school is 30 minutes

Step-by-step explanation:

At any point in time;

distance = speed * time

Here, we want to calculate the normal time she spent going from home to school

Let the normal time be x minutes

And the normal speed be t m/min

Today, she increased her speed by 20%

Her speed today will be t + 20/100 * t =

1.2t m/min

Her distance from how to school normally is

xt meters

Now what this means is that, at the increased speed, she was able to get to school 5 minutes earlier

What we are saying is although, she lost 20 minutes initially, she was able to beat down the lateness by 5 minutes

So, the time spent on her increased speed journey is;

(x-5) minutes

At any point in time, the distance will be equal;

Thus, mathematically;

xt = 1.2t(x-5)

xt = 1.2xt - 6t

6t = 1.2xt-xt

6t = 0.2xt

t cancels out

0.2x = 6

x = 6/0.2

x = 30 minutes

Answer:

The answer for miles driven is 100 for the first blank, 400 for the second blank, and 600 for the third blank. As you can see, that is how the pattern goes. The blank for Gallons of gas one is 12, and the blank for gallons of gas two is 20.

Step-by-step explanation:

Answer:

2:3

Step-by-step explanation:

5 in total as you subtract the dudes

Answer: 1:1 or 2:1

Step-by-step explanation:

Answer:

7 1/8

Step-by-step explanation:

4 + 2 = 6

6/8 + 3/8 = 9/8 or 1 1/8

1 1/8 + 6 = 7 1/8

Answer:

Step-by-step explanation:

The area is the product of two dimensions, therefore the scale factor is:

The length of the corresponding side will be:

Answer:

52.6704

Step-by-step explanation:

The lengths of a professor's classes has a continuous uniform distribution between 49.29 min and 55.55 min

Let x = 49.29, y=55.55

Percentile(P) = 54/100 = 0.54

P54 = x+(y-x)p

P54 = 49.29 + (55.55-49.29)*0.54

P54 = 49.29 + 6.26*0.54

P54 = 49.29 + 3.3804

P54 = 52.6704

Step-by-step explanation:

probability of arriving late is 4/8

probability of arriving early is

1-4/8 =4/8

probability that opposite event occurs is 4/8

Answer:

k = 11

Step-by-step explanation:

Expand brackets

2k - 10 = 12

add 10 on both sides

2k = 22

divide both sides by 2

k = 11

Answer:

A. 42.5

Step-by-step explanation:

The triangle shown is an isosceles triangle. An isosceles triangle haas two of its sides and base angles equal. Hence;

<ACB = <ABC (Base angles are equal)

Given

<ACB = 42.5°

Required

<ABC

According to the law above which says <ACB = <ABC , hence <ABC is also equal to 42.5°

Answer:

(4+3) + (4+3) and (7-1) + (9-1)

Step-by-step explanation:

You can always break it down in half to make it easier.

Answer:

11.5

Step-by-step explanation:

Answer:

11.5

Step-by-step explanation:

you have to use this equation to solve it [r = (1/t)(A/P - 1)] and basically just plug the numbers in to get 11.5. (you could also use one of those online calculators)

r = (1/2)((4920/4000) - 1) = 0.115

r = 0.115

Answer:

15.5556 cubic yards

Step-by-step explanation:

A yard is equal to three feet.  Divide the volume value by 27 (3 cubed).

Answer:

False

Step-by-step explanation:

Given

[tex]XLIV = 64[/tex]

Required

True or False

The above numeral can be split as follows:

[tex]XLIV = XL + IV[/tex]

X means 10 and L means 50.

But because X (10) which is smaller comes before L (50), XL is executed as:

[tex]XL = -10 + 50[/tex]

[tex]XL = 40[/tex]

In Roman numerals;

[tex]IV = 4[/tex]

Substitute 40 for XL and 4 for IV.

[tex]XLIV = 40 + 4[/tex]

[tex]XLIV = 44[/tex]

Hence;

[tex]XLIV = 64[/tex] is false

Answer:

Step-by-step explanation:

A)  5/7

B)    12/8

c)  6/6