Answer: 42 feet
Step-by-step explanation:
Let the length be x
Therefore, width = 2/3x
Area = Length × Width
Therefore, x × 2/3x = 1176
2/3x² = 1176
Divide both side by 2/3
x² = 1176 ÷ 2/3
x² = 1176 × 3/2
x² = 1764
x = ✓1764
x = 42
The length is 42 feet
To find this you would divide 868cupcakes by 31boxes witches is 28cupcakes in each box
hope this helps good luck have a good nite hope u enjoy ur the rest of ur weekend
Answer:
Step-by-step explanation:
Hello!
<u>Sample 1 </u>(New Jersey)
n₁= 142
x₁= 9
^ρ₁=9/142=0.063
<u>Sample 2</u> (Texas)
n₂= 268
x₂= 5
^ρ₂= 5/268 = 0.0186 ≅ 0.019
Since what you need to test is if there is a significant difference between the proportions of drug-resistant cases in both states, the hypothesis are:
H₀: ρ₁-ρ₂=0
H₁: ρ₁-ρ₂≠0
α:0.20
The equation of the statistic is:
Z=<u> (^ρ₁-^ρ₂)-(^ρ₁-^ρ₂) </u>
√(^ρ(1-ρ)(1/n₁+1/n₂))
Where ^ρ=<u> x₁+x₂ </u>
n₁+n₂
The calculated statistic is Z=2.2804
and the p-value= 0.0226
Since the p-value is less than the level of signification, you can reject the null hypothesis. This means that there is enough evidence to conclude that there is a significant difference between the proportion of drug-resistant tuberculosis in both states.
Answer:
C
Step-by-step explanation:
Write the expression out
factor it
cancel out all everything that is the same and appears on both the top and the bottom
Cancel out:
(x+1)
(x)
(x)
leaves you with
3 goes into 6 '2' times so the 3 in the numerator cancels out too. The 6 in the denominator turns into a 2
This leaves you with the final answer of
Answer:
10 feets
Step-by-step explanation:
Given that:
Road sign shadow (Rs) = 4 feets
Height of man (Hm) = 6
Man shadow (Ms) = 2.4 feets
Height of road sign (Hr) = x
Height of road sign / shadow of road sign = height of man / shadow of man
Hr/Rs = Hm / Ms
x / 4 = 6 / 2.4
Cross multiply :
4*6 = 2.4*x
24 = 2.4x
x = 24 / 2.4
x = 10 feets
Hence, height of road sign = 10 feets
