Ask question

Ask question

All categories

3 years ago

7

A specific park is rectangular-shaped and has a 3 mile-perimeter. The length is 4 times the width. What are the dimensions of th

e park?

1 answer:

avanturin [10]3 years ago

8 0

Answer:

The length of the rectangular park is $1.2\ mi$ and the width of the rectangular park is $0.3\ mi$

Step-by-step explanation:

Let

x ----> the length of the rectangular park

y ---> the width of the rectangular park

we know that

The perimeter is equal to

$P=2(x+y)$

$P=3\ mi$

so

$3=2(x+y)$ -----> equation A

$x=4y$ ----> equation B

substitute equation B in equation A and solve for y

$3=2(4y+y)$

$3=10y$

$y=0.3\ mi$

Find the value of x

$x=4(0.3)=1.2\ mi$

therefore

The length of the rectangular park is $1.2\ mi$ and the width of the rectangular park is $0.3\ mi$

You might be interested in

Match each expression to its simplified form 9(x+2)

morpeh [17]

Answer:

You forgot to add a picture-

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What is the integer closest to the square root of 17

Alex Ar [27]

Answer:

4

Step-by-step explanation:

$\sqrt{16}$ = 4

7 0

3 years ago

Read 2 more answers

One angle of an isosceles triangle measures 96 degrees. Which other angles could be in that isosceles triangle?

Fofino [41]

One angle of an isosceles triangle measures 96 degrees. Which other angles could be in that isosceles triangle?

Ans is 42
But not sure about it

8 0

2 years ago

A random sample of 49 measurements from one population had a sample mean of 15, with sample standard deviation 5. An independent

kotykmax [81]

Answer:

Comparing the p value with the significance level $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.

Step-by-step explanation:

$\bar X_{1}=15$ represent the mean for sample 1

$\bar X_{2}=18$ represent the mean for sample 2

$s_{1}=5$ represent the sample standard deviation for 1

$s_{f}=6$ represent the sample standard deviation for 2

$n_{1}=49$ sample size for the group 2

$n_{2}=64$ sample size for the group 2

$\alpha=0.01$ Significance level provided

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}\neq 0$

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=49+64-2=111$

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:

$t=\frac{(15-18)-0}{\sqrt{\frac{5^2}{49}+\frac{6^2}{64}}}}=-2.897$

P value

Since is a bilateral test the p value would be:

$p_v =2*P(t_{111}$

Comparing the p value with the significance level $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.

7 0

3 years ago

What is the greatest common factor of 3x^4, 15x^3", and 21x^2??

Umnica [9.8K]

Answer:3x^2 each coefficient is divisible by 3 and and you can take x^2 from both of them

5 0

2 years ago