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Natali5045456 [20]
1 year ago
8

Cant find the answer

Mathematics
1 answer:
dedylja [7]1 year ago
7 0

Answer:

Carter family = 25 hours

Davis family = 31 hours

Step-by-step explanation:

Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.

So combined:

x + y = 45 hours

and we are also told that:

40x + 15y = 1300 L

So we can do simultaneous equations to solve the problem.

With some rearranging, we can figure out that:

y= 45 - x

and by substituting that into the second equation:

40x + 15 (45 -x) = 40x + 675 - 15x = 1300L

25x = 1300 - 675

25x = 625

x = 25 = hours that the Carter family used their sprinkler

and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:

25 + y = 56

y = 31

The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.

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A fair tossed 10 times . Find the probability of obtaining (i) exactly four heads (ii) 3 heads and 7 tails (iii) at least one he
vodka [1.7K]

Answer:

0.205 ; 0.117 ; 0.999

Step-by-step explanation:

Using binomial probability distribution :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Probability of success, p = 0.5

P(x = 4) = 10C4 * 0.5^4 * 0.5^6

P(X = 4) = 0.205078125

B.) 3 heads and 7 tails

P(X = 7) = 10C7 * 0.5^7 * 0.5^3

P(X = 7) = 120 * 0.0009765625

P(X = 7) = 0.117

P(atleast one head)

P(x greater than equal to 1) = p(x =1) +... P(x = 10)

Using a binomial probability calculator :

P(x greater than equal to 1) = 0.999

3 0
2 years ago
Joe has saved $30. He earns $7.50 per hour at his job. He plans to buy a plane ticket to Florida for $300. Enter the minimum num
ruslelena [56]

Answer:

30 hours

Step-by-step explanation:

300 - 30

270/7.5

8 0
2 years ago
According to exponent rules, when we multiply the same base we _____ the exponents
Mazyrski [523]

Answer:

Add

Step-by-step explanation:

When MULTIPLY exponents with same base, you Keep the base and + ADD the exponents.

4 0
2 years ago
Read 2 more answers
Need the correct answer to this question please and thank you
Mashutka [201]

Answer:

C

Step-by-step explanation:

twice a number less three=2x-3

is one half of three times the number=3x/2

2x-3=3x/2

5 0
2 years ago
If you can answer this right i'll mark you brainiest
sweet-ann [11.9K]

Answer:Think of the equation as an equation for a line

y=mx+b

where in this case

C= 5 /9  (F−32)

or

C= 5 /9 F - 5/9 x 32

You can see the slope of the graph is  5 /9

, which means that for an increase of 1 degree Fahrenheit, the increase is  

5 /9  of 1 degree Celsius.

C= 5 /9 (F)

C= 5/9(1)

C=5/9

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of  

9/5 degrees Fahrenheit.

C= 5/ 9 (F)

1= 5 /9 (F)

(F)= 9 /5

Since  

9/5 = 1.8, statement II is true.

The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5/9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:

C= 5 /9 (F)

C= 5 /9 x 5/9

C=25/81

(which is≠1)

An increase of  5/9

degree Fahrenheit leads to an increase of  

25/81.

, not 1 degree, Celsius, and so Statement III is not true.

The final answer is D.

5 0
2 years ago
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