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likoan [24]
3 years ago
15

Kate's garden measures 15 yards by 12 yards. In order to make a path around it she will need to reduce the size of her garden. T

he dimensions of the smaller garden will be related by a scale factor of 0.7. What is the area of the path around the garden in square yards?
Mathematics
1 answer:
joja [24]3 years ago
4 0
It should be 91.8 yards. Whenever you lower the dimensions, you'd multiply each factor by 0.7 to get a scale factor of them. After doing so, you'd get the dimensions of 10.5 and 8.4. After finding the area of the whole garden area, it'd be 180 yards. Then using the factored area which is 88.2, you'd subtract 88.2 from 180, leaving you with 91.8, being the area of the path.
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Describe the piecewise function below by evaluating the function for given values of the domain
tekilochka [14]
We have a piecewise function.
 Therefore, to find the function, we must evaluate each domain separately.
 We have then:

 For x  \leq  -2:
 The function for this domain is:
 y = -3


 
For -2 \ \textless \  x  \leq  2:
 
The function for this domain is:
 y = mx + b

 Where,
 b = -3

 m = (y2 - y1) / (x2 - x1)

 m = (1 - (-7)) / (2 - (-2))
 m = (1 + 7) / (2 + 2)

 m = 8/4

 m = 2
 Substituting:
 y = 2x - 3


 
For x\ \textgreater \  2:
 
The function for this domain is:
 y = 5
4 0
4 years ago
Two different weight loss programs are being compared to determine their effectiveness. Ten men were assigned to each program (t
True [87]

Answer:

WE reject the Null and conclude that one of the drug is more effective than the other.

Step-by-step explanation:

Given :

Diet 1 3.4 10.9 2.8 7.8 0.9 5.2 2.5 10.5 7.1 7.5

Diet 2 11.9 13.1 11.6 6.8 6.8 8.8 12.5 8.6 17.5 10.3

This is a matched pair sample :

The hypothesis :

H0 : μd = 0

H1 : μd ≠ 0

Hence, we intun the difference between the two groups of value :

Difference, d = -8.9,-2.2,-8.8,1,-5.9,-3.6,-10,1.9,-10.4,-2.8

The test statistic :

dbar ÷ (Sd/√n)

dbar = mean of difference = Σd / n = - 49.7 / 10 = - 4.97

Standard deviation of difference, Sd = 4.51

Test statistic :

-4.97 ÷ (4.51/√10)

Test statistic = - 3.485

The sample size, n = 10

df = n - 1 ; 10 - 1 = 9

Critical value (0.10, 9) = 1.833

If Test statistic > |Critical value |

Since 3.486 > 1.833 ; WE reject the Null and conclude that one of the drug is more effective than the other

5 0
3 years ago
-3 + 42 &gt; 3<br><br> x &gt; 15<br> x &lt; 15<br> x &gt; 13<br> x &lt; 13
Ilya [14]

Answer:

Where's the x?

I am assuming that the problem must be

-3 + 42 > 3x

if that is true, then

<u>x < 13</u>.

As this statement is, -3 + 42 > 3 is a true statement because -3 + 42 = 39, and

39 > 3 [39 is always greater than 3]

Step-by-step explanation:

Let me know if you need a step by step.

8 0
3 years ago
Read 2 more answers
**A rock dropped from a 100 foot tower.
mars1129 [50]

Answer:

2.83 s

Step-by-step explanation:

We are given that

h(t)=-16t^2+10t+100

When a rock reached the ground then h(t)=0

-16t^2+10t+100=0

16t^2-10t-100=0

Using quadratic formula

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

t=\frac{10\pm\sqrt{(-10)^2-4\times 16\times (-100)}}{2(16)}

t=\frac{10\pm\sqrt{100+6400}}{32}

t=\frac{10+\sqrt{6500}}{32}=2.83

t=\frac{10-\sqrt{6500}}{32}=-2.2

Time cannot be negative .Therefore, negative value of t can not be possible.

Hence, the rock takes 2.83 sec to reach the ground.

8 0
4 years ago
Consider the continuous random variable x, which has a uniform distribution over the interval from 110 to 150. The probability t
Virty [35]

Answer:

The probability that x will take on a value between 120 and 125 is 0.14145

Step-by-step explanation:

For uniform distribution between a & b

Mean, xbar = (a + b)/2

Standard deviation, σ = √((b-a)²/12)

For 110 and 150,

Mean, xbar = (150 + 110)/2 = 130

Standard deviation, σ = √((150-110)²/12 = 11.55

To find the probability that x will take on a value between 120 and 125

We need to standardize 120 & 125

z = (x - xbar)/σ = (120 - 130)/11.55 = - 0.87

z = (x - xbar)/σ = (125 - 130)/11.55 = - 0.43

P(120 < x < 125) = P(-0.87 < x < -0.43)

We'll use data from the normal probability table for these probabilities

P(120 < x < 125) = P(-0.87 < x < -0.43) = P(z ≤ -0.43) - P(z ≤ -0.86) = 0.33360 - 0.19215 = 0.14145

Hope this Helps!!!

3 0
3 years ago
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