Answer:
c = 10h
Step-by-step explanation:
c = 8h
Where,
c = Total amount she should charge a customer
h = Number of hours
8 = amount charged per hour of babysitting
A. 8 is the constant of proportionality and it means Nila charges $8 per hour of babysitting
B. If she decides to increase the rate she charges customers by $2 per hour, then the new equation she should use to determine how much to charge her customers is:
c = (8 + 2)h
c = 10h
<span>3(x+2)= 4x+1 |Given
3x+6= 4x+1 |Distributive
−x+6= 1 |SPOE (Subtraction Property of Equality)
−x= −5 |SPOE
x=5 |MPOE (Multiplication Property of Equality)</span>
Answer:
Option C is correct.
The test statistic for this question is -3.13
Step-by-step explanation:
To compute the z-test statistic, the formula is given as
z = (x - μ₀)/σₓ
x = p = sample proportion of the 500 college students sampled, that favor reducing the deficit using only spending cuts with no tax increase = (75/500) = 0.15
μ₀ = p₀ = the proportion to be compared against, that is, the proportion of Americans that favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases = 20% = 0.20
σₓ = standard error of the sample proportion = √[p(1-p)/n]
p = 0.15
n = Sample size = 500
σₓ = √[0.15×0.85/500] = 0.01597
z = (0.15 - 0.20) ÷ 0.01597
z = -3.13
Hope this Helps!!!
Answer:
∠ U = 22.62°
Step-by-step explanation:
We can use the trigonometric expression to find ∠U by using the ratio:
sin(θ) = opposite/ hypotenuse
=> sin ∠U = 7.5/ 19.5
=> ∠ U = 
( 7.5/ 19.5)
∴ ∠ U = 22.619° ≈ 22.62°
