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1 year ago

Catalina multiplied 842 and 3 and got 3,326. how can can she check to see if her answer is reasonable

1 answer:

4 0

By rounding 842 to 800, she can multiply 800 by 3 to get 2,400.

then, multiply 40 by 3, you get 120 and add the two together to get 2,520

this shows her answer is not necessary reasonable

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Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).

PtichkaEL [24]

Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.

m=(y2-y1)/(x2-x1) in this case:

m=(-5-1)/(2-4)

m=-6/-2

m=3

Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:

m1*m2=-1 in this case:

3m=-1

m=-1/3

So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting. The midpoint is simply the average of the coordinates of the endpoints, mathematically:

mp=((x1+x2)/2, (y1+y2)/2), in this case:

mp=((4+2)/2, (1-5)/2)

mp=(6/2, -4/2)

mp=(3,-2)

So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:

y=mx+b, where m=slope and b=y-intercept, and given what we know:

-2=(-1/3)3+b

-2=-3/3+b

-2=-1+b

-1=b

So now we have the complete equation of the perpendicular bisector...

y=-x/3-1 or more neatly in my opinion :P

y=(-x-3)/3

4 0

2 years ago

Read 2 more answers

Jamal is a door to door vacuum salesman. His weekly salary, S , is $250 plus $50 for each vacuum he sells. This can be written a

Aleks04 [339]

Answer:

31 vacuums

Step-by-step explanation:

1800 = 250 + 50v

1800 - 250 = 50v

50v = 1550

v = 1550 / 50

v = 31

He sold 31 vacuums.

8 0

2 years ago

Problem Solving World

jonny [76]

Answer:

Step-by-step explanation:

To solve this, add.

28 + 18 = 46

7 0

3 years ago

Read 2 more answers

Tommy has 5 jars of marble. Each Jar is filled 2/3 with marbles. How many full Jars does tommy have? Make a model and shade in t

ivann1987 [24]

5 / ( 2 / 3 ) = 7.5

7 full jars

6 0

2 years ago

Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3

aliina [53]

Answer:

C) more than the absolute value of the critical value, we can conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.

Step-by-step explanation:

Hello!

Interest hypothesizes is " the average monthly rate for one-bedroom assisted-living facility is equal to $3300" symbolically: μ = 3300

The study variable is:

X: Monthly rate for a one-bedroom assisted-living facility.

Since there is no information about the distribution of the variable, to be able to study the population mean, I'll assume that the variable has a normal distribution.

The hypothesis is:

H₀: μ = 3300

H₁: μ ≠ 3300

α: 0.05

The statistic to use, considering that there is no known population information and the sample size, is a Student t:

t= <u> X[bar] - μ </u> ~ $t_{n-1}$

S/√n

n= 12

X[bar]= $3690

S= $530

Using the sample data, calculate the statistic value:

t= <u> 3690 - 3300 </u> = 2.549

530/√12

The rejection region for this test is two-tailed, with critical values:

$t_{n-1; \alpha /2} = t_{11; 0.025} = -2.201$

$t_{n-1;1-\alpha /2} = t_{11; 0.975} = 2.201$

The decision rule is:

Reject the null hypothesis if t ≤ -2.201 or if t ≥ 2.201

Not reject the null hypothesis if -2.201 < t < 2.201

Since the calculated value (2.549) is greater than the right critical value (2.201) the decision is to reject the null hypothesis.

With a signification level of 5%, there is enough evidence to reject the null hypothesis. This means that the population mean of the monthly rate for a one-bedroom assisted living facility is different from $3300.

I hope it helps!

7 0

2 years ago