Answer:
300
Step-by-step explanation:
Sum the parts of the ratio : 3 + 2 = 5 parts
Divide the number of appointments by 5 to find the value of one part of the ratio, that is
= 100 ← value of 1 part of the ratio
The mums consisted of 3 parts, hence
3 × 100 = 300 ← appointments with mums
Answer:
Step-by-step explanation:
Hello!
So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:
X: "Lifetime of one shoe pair of the new model"
Applying CLT:
X[bar]≈N(μ;σ²/n)
Known values:
n= 30 shoe pairs
x[bar]: 17 months
S= 5.5 months
Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:
H₀:μ=15
H₁:μ≠15
The significance level for the test is given: α: 0.05
Your critical region will be two-tailed:
So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96
Now you calculate your observed Z-value
Z=<u>x[bar]-μ</u> ⇒ Z=<u> 17-15 </u> = 1.99
σ/√n 5.5/√30
Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.
I hope you have a SUPER day!
Answer:
pi x diameter
Step-by-step explanation:
To calculate the circumference of a circle, simply multiply pi (3.14) by the diameter (straight line passing from side to side through the center of the circle)
For instance, if you knew the diameter of a circle was 6 inches. Simply multiply 6 inches by pi!
6 x pi = ?
? approximately equals 18.85 inches.
The circumference of the circle would be 18.85 inches!
If you only have the radius of the circle, simply multiply it by two to get your diameter. Remember, the radius is just half the length of the diameter.
Hope this helps! :)
Answer:
-8x+21
Step-by-step explanation:
Use the distributive property.
Answer:
5, -⅓
Step-by-step explanation:
x = 2:
4x + 3y = 23
3y = 23 - 4(2)
3y = 15
y = 5
x = 6:
4x + 3y = 23
3y = 23 - 4(6)
3y = -1
y = -⅓