Answer:
-2.154
Step-by-step explanation:
We are given;
Population mean; μ = 432
Sample mean; x¯ = 425
Sample size; n = 29
standard deviation; σ = 26
Hypothesis is defined as;
Null hypothesis; H0: μ ≥ 432
Alternative hypothesis: Ha: μ < 432
Formula for the test statistic since sample size is less than 30 is;
t = (x¯ - μ)/(σ/√n)
Plugging in the relevant values;
t = (425 - 432)/(26/√29)
t = -1.45
Now,we are given significance level of 0.02; our DF = n - 1 = 29 - 1 = 28
From t-table attached, we can see that at DF of 28 and significance value of 0.02, the critical value is 2.154
However, this is a left tailed test as the rejection region is to the left.
Thus, the critical value of a left tailed test is negative. Thus, in this case our critical value will be -2.154
Answer:
Step-by-step explanation:
Find the rate that was charged for Lara's time
rate = dollars / hour
The use this rate to calculate how many hours it took to clean Roy's house, since the rates are the same. Solve for hours.....
rate for Lara = dollars / hour = $150 / 3 hour = $50 / hour
rate for Roy = dollars / hour Solve for hours
multiply both sides by hours
(rate for Roy) (hour) = (dollars / hour) (hour)
(rate for Roy) (hour) = (hour) (dollars / hour) right side hours cancel
(rate for Roy) (hour) = (dollars) divide both sides by (rate for Roy)
(rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)
now the rate for Roy on the leftside cancel
(rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)
(hour) = (dollars) / (rate for Roy) Plug in $225 charged to Roy
and the $50 / hour rate
hour = $225 / ($50/hour) ( 1 over 1 / hour ) = hour
= $(225/50) hour think about 1 / (1/2) = 2 the same with units
hour = 4.5 hours
Answer:
y = 5x - 9
Step-by-step explanation:
y - y₁ = m(x - x₁), where (x₁, y₁) = (3, 6)
y - 6 = 5(x - 3)
y = 5x - 15 + 6
y = 5x - 9
Answer:
Step-by-step explanation:
2 cups of sparkling water with every 3 cups of apple juice = sparkling juice
Sparkling water : apple juice
2 : 3
How much sparkling water does Jada need if she uses 8 cups of apple juice.
Sparkling water : apple juice
x : 8
Equate both ratios
2 : 3 = x : 8
2/3 = x / 8
2*8 = 3*x
16 = 3x
x = 16 / 3
= 5.33 cups
Sparkling water = 5.33 cups
How much apple juice does Jada need if she uses 8 cups of sparkling water
Sparkling water : apple juice
8 : y
Equate both ratios
2 : 3 = 8 : y
2/3 = 8 / y
Cross product
2 * y = 3 * 8
2y = 24
y = 24 / 2
= 12
y = 12
Apple juice = 12 cups
NOTE: There is an error in your question, you wrote "How much sparkling water does Jada need if she uses 8 coups of sparkling water." but I solved for both sparkling water and apple juice using 8 cups since your question was not clear enough.
