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almond37 [142]
2 years ago
13

A farmer has 180 yards of fencing material to make a rectangular

Mathematics
1 answer:
dlinn [17]2 years ago
5 0

Answer: 60 yd

Step-by-step explanation:

Here: subdivided into 3 smaller pens (2w + w + w) extra widths for separation purposes (3 smaller pens)

180 yards of fencing material

180yd = 2L + 4w

180dy = 2*60 + 4w

60dy = 4w

w = 15yd, how wide can the rectangle can  be with L = 60yd

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2 years ago
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An article costing Gh37000 was sold for Gh31450. What is the loss percent​
Gennadij [26K]

Answer:

15%

Step-by-step explanation:

The first step is to find the loss

Cost price -selling price

37000-31450

= 5,550

The loss percent can be calculated as follows

= loss/cost price × 100

= 5550/37000 × 100

= 0.15×100

= 15%

Hence the loss percent is 15%

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A circle is cut from a square piece of cloth, as shown:
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a = \pi \:  {r}^{2}
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3 years ago
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F(x) = 2x2 – 3x 7 for the input value 2.what is the value of the function when x = 2?
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I hope this helps you




1)




f (2)=2.2^2-3.2-7



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f (2)= -5



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3 years ago
A random sample of 64 observations produced a mean value of 84 and standard deviation of 5.5. The 90% confidence interval for th
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Answer:  The 90% confidence interval for the population mean μ is between 82.85 and 85.15,

Step-by-step explanation:

When population standard deviation is not given ,The confidence interval population proportion is given by (\mu ):-

\overline{x}\pm t^*\dfrac{s}{\sqrt{n}}

, where n= Sample size.

s= Sample standard deviation

\overline{x} = sample mean

t* = Critical t-value (Two-tailed)

As per given , we have

\overline{x}=84

n= 64

Degree of freedom : df = n-1=63  

s= 5.5

Significance level : \alpha=1-0.90=0.1

Two-tailed T-value for df = 63 and  \alpha=1-0.90=0.1 would be

t_{\alpha/2,df}=t_{0.05,63}=1.669  (By t-distribution table)

i.e. t*= 1.669

The 90% confidence interval for the population mean μ would be

84\pm (1.669)\dfrac{5.5}{\sqrt{64}}

=84\pm (1.669)\dfrac{5.5}{8}

\approx84\pm 1.15

=(84-1.15,\ 84+1.15)=(82.85,\ 85.15)

∴ The 90% confidence interval for the population mean μ is between 82.85 and 85.15,

6 0
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