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3 years ago

Jimmys garden has a length of 2b

Mathematics

1 answer:

GrogVix [38]3 years ago

8 0

Answer: 18b + 2

Step-by-step explanation:

Length: 2b + 4

Width: 7b + 2

I assumed the garden is a rectangle shape since the length and width are different.

Perimeter = 2( L + w)

Then we just plug the values in.

2 (2b + 4 + 7b + 2)

2 (9b + 6) = 18b + 12

So, the equation for the perimeter of Jimmy's garden will be 18b + 2.

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a spinner is divided into 15 identical sectors and labeled 1 through 15 how many spins are expected for a multip;le of 4 to be s

Feliz [49]

We need to spin the spinner 150 times, to expect a multiple of 4 to be spun 30 times.

In the question, we are given that a spinner is divided into 15 identical sectors and labeled 1 through 15.

We are asked the number of times the spinner must be spun to expect a multiple of 4 30 times.

The possible outcomes of a multiple of 4 are 4, 8, and 12.

Thus, the number of possible outcomes are 3.

The total number of outcomes are 15.

Thus, the probability of getting a multiple of 4 in one spin = 3/15 = 1/5.

Thus, to expect a multiple of 4 once, we need to spin the spinner 5 times.

Thus, to expect a multiple of 4 30 times, we need to spin the spinner 5 * 30 = 150 times.

Thus, we need to spin the spinner 150 times, to expect a multiple of 4 to be spun 30 times.

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2 years ago

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The expression to find the perimeter of a rectangle is 2(length + width). What is the perimeter, in units, of a rectangle of len

ch4aika [34]

Length: 1/5 = 2/10
Width: 1/2 = 5/10

Perimeter = 2 (Length + Width)
= 2 (2/10 + 5/10)
= 2 ( 7/10)
= 14/10
= 1 and 4/10 = A. 1 and 2/5

6 0

3 years ago

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Please help for number 8 I don't understand.

Ksju [112]

Answer:

8a. x = 16√3

8b. y = 8√3

Step-by-step explanation:

8a. Determination of the value of x

Adjacent = 24

Hypothenus = x

Angle θ = 30°

The value of x can be obtained by using cosine ratio as illustrated below:

Cos θ = Adjacent /Hypothenus

Cos 30 = 24 / x

√3/2 = 24/x

Cross multiply

x × √3 = 2× 24

x × √3 = 48

Divide both side by √3

x = 48/√3

Rationalise

x = 48/√3 × √3/√3

x = 48√3 / √3 × √3

x = 48√3 / 3

x = 16√3

8b. Determination of the value of y

Opposite = y

Adjacent = 24

Angle θ = 30°

The value of y can be obtained by using Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 30 = y / 24

1 / √3 = y /24

Cross multiply

y × √3 = 1 × 24

y × √3 = 24

Divide both side by √3

y = 24 /√3

Rationalise

y = 24 /√3 × √3/√3

y = 24 ×√3 / √3 × √3

y = 24√3 / 3

y = 8√3

8 0

2 years ago

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,608 kilowatt hours (kWh

Marat540 [252]

Answer:

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 10,608 kWh of electricity this year.

Given that the size of the sample n = 187

Given that mean of sample x⁻ = 10737 kWh

The Standard deviation of the Population = 1220kWh

Level of significance = 0.05

The critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis: H₀:μ > 10608 kWh

Alternative Hypothesis: H₁: μ < 10608kWh

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{10737- 10608 }{\frac{1220}{\sqrt{187} } }$

Z = 1.4460

Final answer:-

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average.

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3 years ago

Using Postulates and/or Theorems learned in Unit 1, determine whether PRQ MRN.

Umnica [9.8K]

Answer:

RM / RP = 10/18 = 5/9

RN/RQ = 7/21 = 1/3

Since the two ratios are not the same, triangle PRQ is not similar to triangle MRN.

Step-by-step explanation:

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2 years ago