Step-by-step explanation: (I'm not gonna' do it <em>all</em> for you tho)
to convert from <u>percent to fraction</u>:
70% = 
to convert from <u>fraction to percent</u>:
= 55%
to convert from <u>fraction to decimal</u>:
to convert from <u>decimal to fraction</u>:
to convert from <u>percent to decimal</u>:
0.2% = 
to convert from <u>decimal to percent</u>:
% = 40%
With that, you can solve the rest on your own
In order to answer this question, you need to know how many hours
there are in one day. After that, it's a piece-o-cake.
1 day = 24 hours .
Now you can make a table:
1 day = 24 hours
2 days = 48 hours
3 days = 72 hours
4 days = 96 hours
5 days = 120 hours
6 days = 144 hours
7 days = 168 hours
8 days = 192 hours
9 days = 216 hours
10 days = 240 hours
Answer:
- 1 = pentagon
- 2 = diamond
- 3 = square
- 5 = circle
- 6 = rectangle
- 7 = oval
- 8 = triangle
- 9 = hexagon
- 10 = trapezoid
Step-by-step explanation:
Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.
The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.
The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.
The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.
We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.
The weights are summarized in the answer section, above.
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 5000
For the alternative hypothesis,
H1: µ > 5000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 5000
x = 5430
σ = 600
n = 40
z = (5430 - 5000)/(600/√40) = 4.53
Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001
Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.
Answer:
y = -2x + 5
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define given</u>
y-intercept <em>b</em> = 5
Slope <em>m</em> = -2
<u>Step 2: Write function</u>
y = -2x + 5
