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2 years ago

PLEASE HELP

Mathematics

2 answers:

konstantin123 [22]2 years ago

7 0

The length of the minor arc AB is 6.3cm

kipiarov [429]2 years ago

3 0

Answer:

D. 6.3 cm

Step-by-step explanation:

First we find the circumference of the circle. The formula for circumference is

C = 2πr

Using 3.14 for π and our value for 5, we have

C = 2(3.14)(5) = 31.4 cm

Next we find the portion of the circle represented by this sector. The angle is 72 out of 360 total degrees:

72/360 = 36/180 = 6/30 = 1/5

Multiply the circumference by this fraction:

1/5(31.4) = 6.28 ≈ 6.3 cm

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Question 10 Multiple Choice Worth 1 points)

zheka24 [161]

Answer:

Linearly, because the table shows that the sunflowers increased by the same amount each month

Step-by-step explanation:

Given the table

$\begin{array}{lcccc}\text{Month}&1&2&3&4\\ \\\text{Sunflowers}&15&17.2&19.4&21.6\end{array}$

Note that months change one-by-one (21-1, 3-2=1, 4-3=1).

Also

$17.2-15=2.2\ [\text{from month 1 to month 2}]\\ \\19.4-17.2=2.2\ [\text{from month 2 to month 3}]\\ \\21.6-19.4=2.2\ [\text{from month 3 to month 4}]$

This means the number of sunflowers increases linearly, because the table shows that the sunflowers increased by the same amount each month

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2 years ago

A consensus forecast is the average of a large number of individual analysts' forecasts. Suppose the individual forecasts for a

stealth61 [152]

Answer:

a) 0.954

b) 0.937

c) 0.891

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6 percent

Standard Deviation, σ = 1.3 percent

We are given that the distribution of particular interest rate is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(At least 3.8 percent.)

$P(x \geq 3.8)$

$P( x \geq 3.8) = P( z \geq \displaystyle\frac{3.8 - 6}{1.3}) = P(z > -1.69)$

$= 1 - P(z < -1.69)$

Calculation the value from standard normal z table, we have,

$P(x \geq 3.8) = 1 - 0.046 = 0.954 = 95.4\%$

b) P(At most 8 percent)

$P(x \leq 8) = P(z \leq \displaystyle\frac{8-6}{1.3}) = P(z \leq 1.53)$

Calculating the value from the standard normal table we have,

$P( x \leq 8) =0.937= 93.7\%$

c) P(Between 3.8 percent and 8 percent. )

$P(3.8 \leq x \leq 8) = P(-1.69 \leq z \leq 1.53)\\\\= P(z \leq 1.53) - P(z < -1.69)\\= 0.937 - 0.046 = 0.891 = 89.1\%$

$P(3.8 \leq x \leq 8) = 89.1\%$

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