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3 years ago

Write the algebraic expression that matches each graph? PLS HELP I NEED HELP!!!

Mathematics

2 answers:

Vladimir [108]3 years ago

8 0

Looks like y = |x| because the slopes of the lines are both 1

You shift it to the right making it |x-2| and you shift it down making y = -2

combine to get y = |x - 2| - 2.

vlada-n [284]3 years ago

3 0

Answer: -/x/-3

Step-by-step explanation:

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What is the scientific notation of 0.000487

Yuliya22 [10]

0.000487=4.87⋅10−4.............

6 0

3 years ago

In a school, there is a ratio of 4 boys to 5 girls. If there are a total of 450 students, how many girls are there? *

denpristay [2]

Answer: there are 200 girls in the school.

Step-by-step explanation:

In a school, there is a ratio of 4 boys to 5 girls. The total ratio would be the sum of the proportion of boys and the proportion of girls. Therefore,

Total ratio = 4 + 5 = 9

If there are a total of 450 students, it means that the number of girls in the school would be

Proportion of girls/ total ratio × total number of students. Therefore,

The number of girls is

5/9 × 450 = 200

7 0

4 years ago

Describe a situation that can be represented by the integer 20 and its opposite.

luda_lava [24]

You can be going the speed limit, 20 mph, or you can be going 20 mph under the speed limit. Which would mean you'd be stationary or not moving.

5 0

3 years ago

Find the next number in the sequence 2, -4, 8, -16, 32

VladimirAG [237]

Answer:

- 64

Step-by-step explanation:

The rule is to multiply by - 2 to get the next number. The numbers in the sequence are 2, - 4, 8, - 16, 32. The sequence shows that the next number is - 64

Hope This Helps :)

8 0

4 years ago

Read 2 more answers

A researcher examines 27 water samples for iron concentration. The mean iron concentration for the sample data is 0.802 cc/cubic

Delvig [45]

Answer:

90% confidence interval for the population mean iron concentration is [0.771 , 0.832].

Step-by-step explanation:

We are given that a researcher examines 27 water samples for iron concentration. The mean iron concentration for the sample data is 0.802 cc/cubic meter with a standard deviation of 0.093.

Firstly, the pivotal quantity for 90% confidence interval for the population mean iron concentration is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean iron concentration = 0.802 cc/cubic meter

s = sample standard deviation = 0.093

n = number of water samples = 27

$\mu$ = population mean

Here for constructing 90% confidence interval we have used t statistics because we don't know about population standard deviation.

So, 90% confidence interval for the population mean, $\mu$ is ;

P(-1.706 < $t_2_6$ < 1.706) = 0.90 {As the critical value of t at 26 degree of

freedom are -1.706 & 1.706 with P = 5%}

P(-1.706 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 1.706) = 0.90

P( $-1.706 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $1.706 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X -1.706 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +1.706 \times {\frac{s}{\sqrt{n} }$ ) = 0.90

90% confidence interval for $\mu$ = [ $\bar X -1.706 \times {\frac{s}{\sqrt{n} }$ , $\bar X +1.706 \times {\frac{s}{\sqrt{n} }$ ]

= [ $0.802 -1.706 \times {\frac{0.093}{\sqrt{27} }$ , $0.802 +1.706 \times {\frac{0.093}{\sqrt{27} }$ ]

= [0.771 , 0.832]

Therefore, 90% confidence interval for the population mean iron concentration is [0.771 , 0.832].

4 0

3 years ago