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In-s [12.5K]
2 years ago
14

What is the measure of the radius of the cone in the diagram below?

Mathematics
1 answer:
Anastasy [175]2 years ago
3 0

Answer:

4cm

Step-by-step explanation:

the diameter is labelled as 8cm

radius is half of the diameter

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A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below
jok3333 [9.3K]

Answer:

The value of the test statistic = 2.58

Test statistic Z = - 4.805

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

There is  significant difference between in the mean number of times men and women send a Twitter message in a day

Step-by-step explanation:

Step(i):-

Sample size of men  n₁ = 25

mean of the first sample x₁⁻ = 20

Standard deviation of the first sample σ₁ = 5

Sample size of women n₂ = 30

mean of the second sample x₂⁻ = 30

Standard deviation of the first sample σ₂ = 10

Level of significance ∝= 0.01

<u>Step(ii)</u>:-

Null Hypothesis : H₀: There is no significant difference between in the mean number of times men and women send a Twitter message in a day

Alternative Hypothesis :H₁:There is  significant difference between in the mean number of times men and women send a Twitter message in a day

Test statistic

Z = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S.D_{1} ^{2} }{n_{1} }+\frac{ S.D_{2} ^{2}}{n_{2} }  } }

Z = \frac{20 - 30 }{\sqrt{\frac{(5)^{2}  }{25 }+\frac{ (10)^{2}  }{ 30}  } }

Z =  \frac{-10}{2.081} = - 4.805

The value of the test statistic = 2.58 C

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

<u>Conclusion:</u>-

There is  significant difference between in the mean number of times men and women send a Twitter message in a day

7 0
2 years ago
Which of the following expressions is equivalent to?
gayaneshka [121]

Answer:  

It's the last choice:  2x^2 - 5x - 8 - 37/(x - 5).

Step-by-step explanation:

Long division:

        2x^2 - 5x -8    <---------------Quotient

        ---------------------------------

x - 5 ) 2x^3 - 15x^2 + 17x + 3

          2x^3 - 10x^2

                     - 5x^2 + 17x

                     - 5x^2  + 25x

                                   - 8x + 3

                                   - 8x + 40

                                           -37 <------ Remainder.

7 0
2 years ago
WebAssign will do simple calculations for you, using , -, *, /, parentheses, and e-notation. For example, if a question asks for
kondor19780726 [428]

Answer:

10800

Step-by-step explanation:

To solve any equation we use PEDMAS rule(this is the sequence of priorities) where:

P: Parentheses

E: Exponent

D: Division

M: Multiplication

A: Addition

S: Subtraction

In the expression 120\times 90 ,there is only one operation is used that is multiplication.

120\times 90=10800

4 0
3 years ago
There are 10 children in a class and 2 of them choose to read a books so what is the probability that a randomly selected presch
kiruha [24]

Answer: a 20% chance

Step-by-step explanation:

All you need to do is 2/10 = .2 = 20%

We do this because if 2 chose to read and there are 10 kids.

8 0
2 years ago
Find the length of a side of a square if its área is 4/25 cm2
USPshnik [31]

Answer:

2/5cm or 0.4cm

Step-by-step explanation:

Area of square = Side^{2}

Thus, Side = \sqrt{Area}

= \sqrt{4/25}

= 2/5 cm = 0.4cm

4 0
3 years ago
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