Do the equations 5y-2x=18 and 6x=-4y-10 form a system of linear equations?

Matt starts swimming lessons on 5 day . He goes every 10 days . How many lessons will Matt go to in 30 days?

Mnenie [13.5K]

Answer: 3 lessons

Step-by-step explanation:

Matt starts swimming lessons on Day 5.

He then goes to swimming lessons every 10 days. The dates he went on lessons are therefore:

First lesson = Day 5

Second lesson = Day 5 + 10 days = Day 15

Third lesson = Day 15 + 10 days = Day 25

Fourth lesson = Day 25 + 10 days= Day 35

<em>He therefore only went for 3 lessons because the 4th lesson was after Day 30. </em>

7 0

3 years ago

A certain species of bird is in danger of becoming extinct. There were 1500 birds in 2000 and they are

melamori03 [73]

a) If this trend continues, how many birds will be left by 2010 will be 525

b) The birds would there have been in 1990 will be 2475

<h3>What is rate of increase?</h3>

Rate of increase or decrease is defined as the increment or decrement in any quantity over a period of time constantly.

Here we have the data that:

There were 1500 birds in 2000 and they are decreasing at an annual rate of 6.5%.

a) If this trend continues, how many birds will be left by 2010

{1500x6.25}/{100}=97.5

So the bird decrement in the one year will be =97.5 so it will be in the 10 years or upto 2010 will be

97.5x10=975

So the birds left till 2010 will be:

Q=1500-975=525

b)The birds would there have been in 1990 will be:-

=1500+975=2475

Hence If this trend continues, how many birds will be left by 2010 will be 525.The birds would there have been in 1990 will be 2475

To know more about Rate of increase follow

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7 0

3 years ago

Can somebody help me with this one?

Vlad [161]

S = sale price (in dollars)
p = sticker price (in dollars)
Note: the sticker price is what the customer pays after the discount
Another note: This is ignoring any taxes or other fees

We're told that the sale price is the result of taking 10% off the sticker price. This means...

sale price = (sticker price) - (10% of sticker price)
s = p - 0.10*p
s = 1*p - 0.10*p
s = (1 - 0.10)*p
s = (0.90)*p
s = 0.90*p

So the expression for the sale price is 0.90*p where p is the sticker price in dollars.

Note: this means that the sale price is 90% of the sticker price.

----------------------------------------

Now plug in the sticker price p = 80 to find the sale price s
s = 0.90*p
s = 0.90*80
s = 72

The sale price is $72 which is what the customer will pay (if we ignore any taxes or other fees).

5 0

3 years ago

The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured

FrozenT [24]

Answer:

The p value obtained was a low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of of driver fatalities related to alcohol is less from 0.77 or 77%.

Step-by-step explanation:

1) Data given and notation n

n=53 represent the random sample taken

X=35 represent the automobile driver fatalities in a certain county involved with an intoxicated driver

$\hat p=\frac{35}{53}=0.660$ estimated proportion of automobile driver fatalities in a certain county involved with an intoxicated driver

$p_o=0.77$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the population proportion of driver fatalities related to alcohol is less than 77% or 0.77 in Kit Carson:

Null hypothesis: $p\geq 0.77$

Alternative hypothesis: $p < 0.77$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.660 -0.77}{\sqrt{\frac{0.77(1-0.77)}{53}}}=-1.903$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This methos is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is an unilateral lower test the p value would be:

$p_v =P(z$

So the p value obtained was a low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of of driver fatalities related to alcohol is less from 0.77 or 77%.

8 0

3 years ago

What is the solution of sqrt x+12=x ? x = –3 x = 4 x = –3 or x = 4 no solution

icang [17]

\left[x _{2}\right] = \left[ 4\right][x2]=[4] totally value

8 0

4 years ago

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