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kondor19780726 [428]
3 years ago
12

A garden measuring 10 meters by 7 meters is going to have a walkway constructed all around the perimeter, increasing the total a

rea to 130 square meters. What will be the width of the pathway?
Mathematics
1 answer:
SashulF [63]3 years ago
5 0

The width of the pathway is 3m

Step-by-step explanation:

Let the width of the pathway be 'w'

The area will be 130 square meters

The dimensions of the garden is 10 x 7

Area = (10+w) (7+w)

130 = 70 + 17w + w^2

w^2 + 17w - 60 = 0

w^2 +20w - 3w - 60 = 0

w ( w + 20) - 3 ( w + 20) = 0

(w + 20) (w - 3) = 0

w = -20 ( or) w = 3

w is the width and cannot be negative.

So, w = 3 meters

The width of the pathway is 3m

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Work out 114 % of 818.07 kg Give your answer rounded to 2 DP.
pshichka [43]

Answer:

932.60 kg

Step-by-step explanation:

To find a percent of a number, change the percent to a decimal and multiply by the number.

114% of 818.07 kg =

= 114% * 818.07 kg

= 114/100 * 818.07 kg

= 1.14 * 818.07 kg

= 932.60 kg

7 0
2 years ago
For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.
Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=5, p=0.4)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

7 0
3 years ago
Solve the quadratic equation: 2(x-3)^2-24-0
Keith_Richards [23]

Answer:

x=3+2×sqrt(3)

x=3-2×sqrt(3)

Step-by-step explanation:

2(x-3)²-24=0

2(x-3)²=24

(x-3)²=12

Case 1:

x-3=sqrt(12)=2×sqrt(3)

x=3+2×sqrt(3)

Case 2:

x-3=-sqrt(12)=-2×sqrt(3)

x=3-2×sqrt(3)

7 0
3 years ago
In 1989 Dutch ice skater dries van wijhe skated 200km at an average speed of 35.27 km/h. How long was he skating?
Lelu [443]
200/35.27=<span>5.6022409 hours total 
Hope this helps!
</span>
7 0
3 years ago
What is the value of x for part A and part B
GuDViN [60]
Part A :

So the two sides are equivalent,

9x - 18 = 3x

Solve for x and get 3.

~~

Answer : x = 3

~~

Part B :

To find JM, simply substitute x for 3 and solve,

9(3) - 18
27 - 18 = 9
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Answer : JM = 9

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

5 0
3 years ago
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