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pishuonlain [190]
3 years ago
13

The larger of two numbers is 15 more than the smaller number. Five times the larger number is 40 more than twelve times the smal

ler number. Find the numbers.
Mathematics
1 answer:
Vlad [161]3 years ago
3 0

Answer:

10, 20

Step-by-step explanation:

x = larger number

y = smaller number

...

x = 10+y

5x=40+6y

...

Substitution of x into the second equation

5(10+y)=40+6y

50 + 5y = 40 + 6y

...

Isolate y

5y - 6y = 40 - 50

-y = -10

Divide both sides by -1

y=10 is the smaller number

...

Rearrange x = 10+y to y = x-10

Substitute into 5x=40+6y

5x = 40 + 6(x-10)

5x = 40 + 6x - 60

...

Isolate x

5x - 6x = 40 - 60

-x = -20

Divide both sides by -1

X=20 is the larger number

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allsm [11]

Answer:

The degrees of freedom are given by;

df =n-1= 5-1=4

The significance level is 0.1 so then the critical value would be given by:

F_{cric}= 7.779

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays

Step-by-step explanation:

For this case we have the following observed values:

Mon 25 Tue 22 Wed 19 Thu 18 Fri 16 Total 100

For this case the expected values for each day are assumed:

E_i = \frac{100}{5}= 20

The statsitic would be given by:

\chi^2 = \sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}

Where O represent the observed values and E the expected values

The degrees of freedom are given by;

df =n-1= 5-1=4

The significance level is 0.1 so then the critical value would be given by:

F_{cric}= 7.779

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays

5 0
3 years ago
Marie purchased a $40.00 gift for a baby shower. She uses a coupon that offers 20% off. How much will Marie save by using the co
Wewaii [24]
To find out how much Marie will save you have to multiply the 20% with the original praise which is $40.00. So we’ll change the 20% to 0.20 to multiply it with 40.

0.20 x 40 = 8

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6 0
3 years ago
24=×+7 ayudenme por favor :) ​
n200080 [17]

Answer:

24 -7 = x+7-7

17 = x

x = 17

so the solution set of

x is x = 17

3 0
3 years ago
Please help! will give 30 points!
insens350 [35]

Answer:

Other needs =25,2 degrees

insurance = 100,8 degrees

Taxes= 7,2

Housing = 57,6

food= 57,6

childcare = 64,8

transportation = 46,8

Step-by-step explanation:

Its % of 360 degrees so you have to calculate the percentage of each categorie on 360 degrees to find the angles. Exemple, for the Other needs, you take 7% out of 360 degrees and you find that it is equal to 25,2. (7% x360 degrees /100)

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3 years ago
What is the product?<br> (-35 +21)(4s-t)
8090 [49]
=-35(4s-t)+21(4s-t)
=-140s+35t+84s-21t
=-140s+84s+35t-21t
=-56s+14t
5 0
3 years ago
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