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Tatiana [17]
3 years ago
10

Using Accuracy and Precision Avani is building a rectangular play area. The length of the play area is 7.5 meters. The width of

the play area is 5.3 meters. If she wants to cover the area in foam, how much foam does she need to buy?
Due to the accuracy of the tape measure Avani used, the amount of foam needed to cover the play area is_______(fill in the blank)
Mathematics
1 answer:
Oxana [17]3 years ago
5 0
The whole area is a rectangle one. In order to get the area of a rectangle, the formula is length multiplied by the width. The length of the area is 7.5 meters and the width is 5.3 meters. Covering the whole area with foam needs 39.75 square meters of it. 
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Summarize everything you know about exponential functions
Annette [7]

A function with a positive constant other than 1 raised to a variable exponent is known as an exponential function. As a function is evaluated, it is solved at a given input value. Where the growth rate and initial value are known, an exponential formula can be used.

Sorry I dont know much about them but I hope this helps you!!

6 0
2 years ago
A state legislator wants to determine whether his voters' performance rating (0 - 100) has changed from last year to this year.
ra1l [238]

Answer:

Step 1 of 4

Point estimate for the population mean of the paired differences = -8.2

Step 2 of 4

Sample standard deviation of the paired differences = 16.116244

Step 3 of 4

Margin of Error = ±9.326419

Step 4 of 4

90% Confidence interval = (-17.5, 1.1)

Step-by-step explanation:

The ratings from last year and this year are given in table as

Rating (last year) | x1 | 87 67 68 75 59 60 50 41 75 72

Rating (this year) | x2| 85 52 51 53 50 52 80 44 48 57

Difference | x2 - x1 | -2 -15 -17 -22 -9 -8 30 3 -27 -15

Step 1 of 4

Mean = (Σx)/N = (-82/10) = -8.2 to 1 d.p.

Step 2 of 4

Standard deviation for the sample

= √{[Σ(x - xbar)²]/(N-1)} = 16.116244392951 = 16.116244 to 6 d.p.

Step 3 of 4

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = -8.2

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 10 - 1 = 9.

Significance level for 90% confidence interval

= (100% - 90%)/2 = 5% = 0.05

t (0.05, 9) = 1.83 (from the t-tables)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 16.116244

n = sample size = 10

σₓ = (16.116244/√10) = 5.0964038367

Margin of Error = (Critical value) × (standard Error of the mean) = 1.83 × 5.0964038367 = 9.3264190212 = 9.326419 to 6 d.p.

Step 4 of 4

90% Confidence Interval = (Sample mean) ± (Margin of Error)

CI = -8.2 ± (9.326419)

90% CI = (-17.5264190212, 1.1264190212)

90% Confidence interval = (-17.5, 1.1)

Hope this Helps!!!

4 0
2 years ago
Point K is on line segment JL. Given JK = 5x + 7, JL = 2x+8, and KL = 4,
kati45 [8]

Answer:

The numerical length of JL is 6 units

Step-by-step explanation:

Here, we want to determine the numerical length of JL

Mathematically;

JL = JK + KL

2x + 8 = 5x + 7 + 4

2x + 8 = 5x + 11

5x -2x = 8-11

3x = -3

x = -1

But JL = 2x + 8

JL = 2(-1) + 8 = -2 + 8 = 6

3 0
3 years ago
3m-2-5n+p terms and coefficients
Firlakuza [10]

Answer: Answers are in the steps.

Step-by-step explanation:

The coefficients are 3, -5, and 1  

The terms are, 3m, -2,-5n and p

4 0
2 years ago
What is the value of x in the product of powers below?
Luda [366]
-7
Bbbbbbbbbbbbbbbbbbbbbb
7 0
3 years ago
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