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beks73 [17]
3 years ago
9

The length of a rectangle is 6 ft longer than its width.

Mathematics
1 answer:
Elenna [48]3 years ago
5 0

Answer:

112 ft square

Step-by-step explanation:

Perimeter=2l+2w

l=w+6

Perimeter=2(w+6)+2w

44=2w+12+2w

44=4w+12

32=4w

8=w

l=8+6

l=14

area=lw

area=14x8

area=112 ft square

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Given the equation 6x − 1 = 11, which order of operations completely solves for x?
gavmur [86]
You add 1 then divide by 6

6x-1=11
plus 1
6x=12
divide by 6
x=12
you get the value of x
8 0
3 years ago
Read 2 more answers
A book claims that more hockey players are born in January through March than in October through December. The following data sh
astra-53 [7]

Answer:

\chi^2 = \frac{(67-47.5)^2}{47.5}+\frac{(56-47.5)^2}{47.5}+\frac{(30-47.5)^2}{47.5}+\frac{(37-47.5)^2}{47.5}=18.295

Now we can calculate the degrees of freedom for the statistic given by:

df=(categories-1)=4-1=3

And we can calculate the p value given by:

p_v = P(\chi^2_{3} >18.295)=0.00038

Since the p value is very low we have enough evidence to reject the null hypothesis and we can conclude that the players' birthdates are not uniformly distributed throughout the​ year

Step-by-step explanation:

We need to conduct a chi square test in order to check the following hypothesis:

H0: There is no difference of birthdates distributed throughout the​ year

H1: There is a difference between birthdates distributed throughout the​ year

The level of significance assumed for this case is \alpha=0.05

The statistic to check the hypothesis is given by:

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

The table given represent the observed values, we just need to calculate the expected values with the following formula E_i = \frac{total}{4}

And replacing we got:

E_{1} =\frac{67+56+30+37}{4}=47.5

And now we can calculate the statistic:

\chi^2 = \frac{(67-47.5)^2}{47.5}+\frac{(56-47.5)^2}{47.5}+\frac{(30-47.5)^2}{47.5}+\frac{(37-47.5)^2}{47.5}=18.295

Now we can calculate the degrees of freedom for the statistic given by:

df=(categories-1)=4-1=3

And we can calculate the p value given by:

p_v = P(\chi^2_{3} >18.295)=0.00038

Since the p value is very low we have enough evidence to reject the null hypothesis and we can conclude that the players' birthdates are not uniformly distributed throughout the​ year

3 0
4 years ago
Which value from the set {2, 3, 6, 7} makes 3x + 5 = 11 true?
monitta

Answer:

2

Step-by-step explanation:

3 x 2 = 6 + 5 = 11

Can i  have brainllest

4 0
3 years ago
Read 2 more answers
I need help I don't understand this​
Lady_Fox [76]
<h3><u>Answer</u> :</h3>

It is clear from the diagram that,

  • ㄥ6 + ㄥ8 = 180

⇒ (2x - 5) + (x + 5) = 180

⇒ (2x + x) + (5 - 5) = 180

⇒ 3x + 0 = 180

⇒ x = 180/3

⇒ x = 60°

◈ From the geometry of figure,

  • ㄥ3 = ㄥ6

⇒ ㄥ6 = (2x - 5)

⇒ ㄥ6 = (2×60 - 5)

⇒ ㄥ6 = 120 - 5

⇒ <u>ㄥ6 = 115°</u>

4 0
4 years ago
In what base is the sum of 8 and 5 equal to 14?
LuckyWell [14K]
Nothing. It would have to be 5 and 8 to be 13... Not 14 and it would be math. :)
4 0
4 years ago
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