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natulia [17]
2 years ago
6

Find the value of the variable.

Mathematics
1 answer:
NemiM [27]2 years ago
7 0

Answer:

x=y[base side of isosceles triangle]

x²+y²=19²

x=√{19²/2)}

x=13.44

y=13.44

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Eric and Sue will randomly select from a treat bag containing 3 lollipops and 2 gum balls. Eric will select, replace it, and the
Vilka [71]

Answer:

Sue has the greater probability of 2/5 and Eric has the probability of 1/5.

Step-by-step explanation:

Sue took 2 things and eric replaced his forst one, ending up with one treat.

8 0
3 years ago
Find the slope of the line through the given points. 1. (-4,-3) and (7, 1)​
Ostrovityanka [42]

Answer:

4/11

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 1 - -3)/(7 - -4)

     = (1+3)/(7+4)

    = 4/11

8 0
2 years ago
The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a
Anettt [7]

Answer:

1) The size of the colony after 4 ​days is 6553 mosquitoes

2) After t = 4.9\ days

Step-by-step explanation:

To answer this question you must use the growth formula

N = N_0e ^ {kt}

Where

N_0 is the initial population of mosquitoes = 1000

t is the time in days

k is the growth rate

N is the population according to the number of days

We know that when t = 1 and N_0=1000 then N = 1600

Then we use these values to find k.

1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47

Now that we know k we can find the size of the colony after 4 days.

N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days

6 0
3 years ago
The tax on a $30 item is $1.20. Find the tax on a $130 item. How do I set this problem up?
borishaifa [10]

Answer:

$5.20

Step-by-step explanation:

Find the tax rate first:

 $1.20

-------------- = 0.04

 $30.00

The tax rate is 4%.

Then the tax on a $130 item is 0.04($130) = $5.20

7 0
3 years ago
When R2 is more useful than R in linear regression?
valina [46]
<span>Answer: Multiple R is the correlation between y and y^ in a regression model. It is always non-negative, but has no nice interpretation as a proportion of variance, unlike its square. I can't think of too many uses for it and only know of one stat package that routinely reports it, SPSS. Bivariate correlation only tells you about two variables at a time (though you can use partial correlation to remove other variables).</span>
6 0
3 years ago
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