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11111nata11111 [884]
3 years ago
6

Is (9,9) a solution of the following linear

Mathematics
1 answer:
AlekseyPX3 years ago
5 0
Yes

(x,y)
(9,9)

17(9) - 9(9) = 72
153 - 81 = 72

(9) - 9(9) = -72
9 - 81 = -72
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Liam rode his bike to the store every day. It took him 45 minutes to get to school and 45 minutes to get home. If he rode for 3
Elza [17]

Answer:

1,890 minuts

Step-by-step explanation:

3 weeks = 7 days x 3 = 21 days

He rides his bike for "45 minutes to get to school and 45 minutes to get home" which is 90 minutes per day.

Therefore, in total, he rode for 21 days x 90 minutes per day = 1,890 minutes

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3 years ago
A race car driver won a 300 mile race with a speed of 194 miles per hour. Find the drivers time.
agasfer [191]
Time = distance / speed

time = 300/194
time = 1.546 hrs...not sure if u need that rounded...if so, then it is 1.5 hrs or 1 1/2 hrs
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Farmer sells 6.2 kg of pears and apples at the farmers market 3/5 of this away is Paris, and the rest is apples. How many kilogr
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Answer:

2.48 kg

Step-by-step explanation:

1 - ⅗ = ⅖

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3 years ago
The director of a state agency believes that the average starting salary for clerical employees in the state is less than ​$35 c
MrRissso [65]

Answer:

There is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, \bar{x} = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571

Now, z_{critical} \text{ at 0.10 level of significance } = -1.28

Since,  

z_{stat} > z_{critical}

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

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