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olga55 [171]
2 years ago
8

Two fifths of the square of the number j in algebraic exprission

Mathematics
2 answers:
meriva2 years ago
8 0

Answer: \dfrac{2}{5}j^2

Step-by-step explanation:

The given mathematical statement : "two fifths of the square of the number j "

To write the algebraic expression for the given mathematical statement.

We can write  square of the number j as j^2

and two-fifth as \dfrac{2}{5}

Then, the final algebraic expression will be :-

\dfrac{2}{5}j^2

Tomtit [17]2 years ago
5 0
Two-fifths (\frac{2}{5}) of the square of the number j (j²)

 \frac{2}{5}j²
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A study was conducted to determine if there was a difference in the driving ability of students from West University and East Un
Sholpan [36]

Answer:

There is no significant evidence which shows that there is a difference in the driving ability of students from West University and East University, <em>assuming a significance level 0.1</em>

Step-by-step explanation:

Let p1 be the proportion of West University students who involved in a car accident within the past year

Let p2 be the proportion of East University students who involved in a car accident within the past year

Then

H_{0}:p1=p2

H_{a}:p1≠p2

The formula for the test statistic is given as:

z=\frac{p1-p2}{\sqrt{\frac{p*(1-p)*(n1+n2)}{n1*n2} } }  where

  • p1 is the <em>sample</em> proportion of West University students who involved in a car accident within the past year (0.15)
  • p2 is the <em>sample</em> proportion of East University students who involved in a car accident within the past year (0.12)
  • p is the pool proportion of p1 and p2 (\frac{15+12}{100+100}=0.135)
  • n1 is the sample size of the students from West University (100)
  • n2 is the sample size ofthe students from East University (100)

Then we have z=\frac{0.03}{\sqrt{\frac{0.135*0.865*(100+100)}{100*100} } } ≈ 0.6208

Since this is a two tailed test, corresponding p-value for the test statistic is ≈ 0.5347.

<em>Assuming significance level 0.1</em>, The result is not significant since 0.5347>0.1. Therefore we fail to reject the null hypothesis at 0.1 significance

6 0
2 years ago
The green turtle lays eggs that are approximately spherical with an average diameter of 4.5 centimeters. each turtle lays an ave
Art [367]
The average volume if these eggs will be found as follows:
Volume of one egg is:
V=4/3πr²
V=4/3×π×(4.5/2)^3
V=71.57 cm³
Given that the turtle lays on average 113 eggs, thus the total volume of eggs will be:
(113×71.57)
=8187.41~8187 cm³

4 0
2 years ago
A driver brings a car to a full stop in 2.0s. It’s acceleration is -11 m/s^2. How far did the car travel while braking
tensa zangetsu [6.8K]

Answer:

  22 m

Step-by-step explanation:

The distance traveled is ...

  d = (1/2)at^2

where "a" is the magnitude of the acceleration.

  d = (1/2)(11 m/s^2)(2 s)^2

  d = 22 m

The car traveled 22 meters while braking.

6 0
2 years ago
Read 2 more answers
A
gavmur [86]

Answer:

m∠QPM=43°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠NPQ=m∠MPN+m∠MPQ

we have

m∠NPQ=(9x-25)°

m∠MPN=(4x+12)°

m∠MPQ=(3x-5)°

substitute the given values and solve for x

(9x-25)°=(4x+12)°+(3x-5)°

(9x-25)°=(7x+7)°

9x-7x=25+7

2x=32

x=16

Find the measure of angle QPM

Remember that

m∠QPM=m∠MPQ

m∠MPQ=(3x-5)°

substitute the value of x

m∠MPQ=(3(16)-5)=43°

therefore

m∠QPM=43°

7 0
2 years ago
A painter built a ladder using 18 rungs. The rungs on the ladder were 5.7 inches apart and 1.1 inches thick. What is the distanc
xeze [42]
18(1.1)+18(5.7)
18.8+102.6
121.4
The distance is 121.4 inches
4 0
2 years ago
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