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PIT_PIT [208]
3 years ago
11

specific park is rectangular-shaped and has a 7-mile perimeter. The length is 4 times the width. What are the dimensions of the

park?
Mathematics
1 answer:
denis23 [38]3 years ago
7 0
This is an algabraic problem, so we would use variables:
Length=x
Width=y
The length is four times the width, so
x=4y
Since the equation for perimeter is P= 2(x+y), you would instead substitute 4y for x, and 7 for the perimeter.
7=2(4y+y)
Simplify.
7=2(5y)
7=10y
y=7/10
Since y is 7/10, you would substitute 7/10 into the equation x=4y.
x=4(7/10)
x=14/5
So, the dimensions are 7/10 x 14/5.
Hope this helps!
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Suppose that 44% of all Americans approve of the job the president is doing. The most recent Gallup poll consisted of a random s
PolarNik [594]
This is a typical binomial distribution since we are dealing with only two possible outcomes. For this distribution we have:
n = population = 1400
p = probability of positive answer = 0.44 

A) The mean of a binomial distribution is
μ = np
  = 1400 × 0.44
  = 616

Hence, <span>μ = 616

B) The standard deviation of a binomial distribution is
</span>σ = √[np(1 - p)]
   = √[1400×0.44×(1-0.44)]
   = √(1400×0.44×0.56)
   = 18.6

Hence, σ = 18.6

C) A binomial distribution B(n, p) can be approximated by a normal distribution N(μ, σ) only when:
np ≥ 10 (we have 616 > 10)
np(1 - p) ≥ 10 (we have 344.96 > 10)

Hence, the normal approximation is N(616, 18.6)

D) We need to calculate the probability of the sample population to be within 3% of the true mean.

In order to do so, as a first thing, we need to calculate the sample standard deviation, which will be given by the formula:
\sigma =  \sqrt{ \frac{p(1-p)}{n} }
= √[0.44 × (1 - 0.44) ÷ 1400]
= √0.000176
= 0.013

Now, we need to calculate the z-score associated with the values we want: since we want 3% from the mean, it means between 41% and 47%.
The z-score can be calculated by the formula:
z = (Y - p) / σ
z₁ = (0.41 - 0.44) / 0.013 = -2.31
z₂ = (0.47 - 0.44) / 0.013 = 2.31

Therefore, we can write
P(0.41 ≤ Y ≤ 0.47) = P(-2.31 ≤ z ≤ 2.31)
                              = P(z ≤ 2.31) - P(z ≤ -2.31)
                              = P(z <span>≤ 2.31) - [1 - P(z <span>≤ 2.31)]
                              = 2×P(</span>z </span>≤ 2.31) - 1

From a standard normal distribution table, we find:
P(z <span>≤ 2.31) = 0.9896

Therefore:</span>
<span>2×P(z </span><span>≤ 2.31) - 1 = 2 </span>× 0.9896 - 1
                            = 0.9792

Hence, the probability to find a proportion within 3% of the real mean is 97.92%
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there are 27 small cubes arranged in a 3 by 3 by 3 cube. The top and sides of the cube are painted red. How many of the 27 small
mars1129 [50]

1 Face has 0 face painted

Step-by-step explanation:

As per the question a  painted cube that is cut into 27 equal-size smaller cubes has been cut into a 3 * 3 * 3 arrangement.

 

There is 1 cube in the very center

 On each of the 6 sides of the cube, there is a central smaller cube that is painted once.

 

Of the 27 (3*3*3) smaller cubes formed by the cutting, 1 gets no paint, 6 are painted on 1 face, 12 are painted on 2 faces, and 8 are painted on 3 faces (total 27 cubes).

1 (no paint) + 6 (painted 1) + 12 (painted 2) + 8 (painted 3) = 27 total

The sum of the painted faces (of the small cubes) is 54 (which is 6*9).

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What is the solution for t in the equation
Jlenok [28]

Answer:

Where's the equation?

Step-by-step explanation:

Where's the equation?

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3 years ago
If $6000 was expected in sales and only $5100 was attained, what reduced fraction represents sales attained?
ira [324]

The reduced fraction that represents the sales attained is 17/20

<h3>How to determine the fraction?</h3>

The given parameters are:

Expected = $6000

Attained = $5100

The fraction is represented as:

Fraction = Attained/Expected

So, we have:

Fraction = 5100/6000

Divide by 300

Fraction = 17/20

Hence, the reduced fraction is 17/20

Read more about fractions at:

brainly.com/question/1622425

#SPJ1

7 0
1 year ago
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