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Leni [432]
3 years ago
11

Need help with this question

Mathematics
1 answer:
Naddik [55]3 years ago
4 0
Easiest way to graph the line is to connect the intercepts.

-50x - 3y = -1500
-3y = 50x - 1500
y = (-50/3)x + 500
y intercept (0, 500)

-50x - 3(0) = -1500
-50x = -1500
x = 300
(300, 0)

make a line that goes through the points (0, 500) and (300, 0)
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Lee is staying at a hotel. The cost of the first night is $240. The cost for each night after that is $210. Let y represent the
sveticcg [70]

Answer:

The situation represents the arithmetic sequence

Step-by-step explanation:

∵ The cost of the first night is $240

∵ The cost of each night after the first is $210

∵ The number of nights is x

∵ The total cost of staying at the hotel x nights is y

∴ y = 240 + 210(x - 1)

Put x = 1 , 2 , 3, 4 and then check the type of the sequence

∴ y = 240 + 210(1 - 1) = 240

∴ y = 240 + 210(2 - 1) = 450

∴ y = 240 + 210(3 - 1) = 660

∴ y = 240 + 210(4 - 1) = 870

∵ The difference between each two consecutive terms are constant

  (450 - 240 = 210 , 660 - 450 = 210 , 870 - 660 = 210)

∴ The sequence is arithmetic sequence

6 0
3 years ago
Read 2 more answers
A newly hired basketball coach promised a high-paced attack that will put more points on the board than the team’s previously te
puteri [66]

Answer:

a. z = 2.00

Step-by-step explanation:

Hello!

The study variable is "Points per game of a high school team"

The hypothesis is that the average score per game is greater than before, so the parameter to test is the population mean (μ)

The hypothesis is:

H₀: μ ≤ 99

H₁: μ > 99

α: 0.01

There is no information about the variable distribution, I'll apply the Central Limit Theorem and approximate the sample mean (X[bar]) to normal since whether you use a Z or t-test, you need your variable to be at least approximately normal. Considering the sample size (n=36) I'd rather use a Z-test than a t-test.

The statistic value under the null hypothesis is:

Z= X[bar] - μ  = 101 - 99 = 2

σ/√n 6/√36

I don't have σ, but since this is an approximation I can use the value of S instead.

I hope it helps!

7 0
3 years ago
Lillian and Jacob work at a dry cleaners ironing shirts. Lillian can iron 25 shirts per hour, and Jacob can iron 20 shirts per h
vladimir1956 [14]

Answer:

Lillian worked 7h and Jacob worked 6h

Step-by-step explanation:

the number of hours Lillian worked are x (h)

the number of  hours Jacob worked are y (h)

                 (0 < x,y < 13)

=> Lilian ironed: 25x (shirts)

    Jacob ỉroned: 20y (shirts)

because Lillian and Jacob worked a combined 13 hours and ironed 295 shirts, we have:

\left \{ {{x+y=13} \atop {25x+20y=295}} \right. => \left \{ {{x=7} \atop {y=6}} \right.

so Lillian worked 7h and Jacob worked 6h

8 0
2 years ago
What is the ratio 18 to 27 written as a fraction in lowest terms?
Rina8888 [55]

Answer:

6/9

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is 1.75 kilometres as a fraction of 700 metres? <br>Give your answer in its simplest form​
aniked [119]

Answer:

5/2

Step-by-step explanation:

1000m = 1km

1.75km = 1750m

1750 / 700 = 5/2

7 0
2 years ago
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