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vaieri [72.5K]
3 years ago
14

Six friends go to a movie. how many ways can they sit in a row of six seats? can be solved with the setup given in

Mathematics
1 answer:
iogann1982 [59]3 years ago
5 0
36 ways! All you have to do is multiple the number of seats by the number of people.
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A small business ships specialty homemade candies to anywhere in the world. Past records indicate that the weight of orders is n
Fantom [35]

Answer:

90% confidence interval for the true mean weight of orders is between a lower limit of 103.8645 grams and an upper limit of 116.1355 grams.

Step-by-step explanation:

Confidence interval for true mean weight is given as sample mean +/- margin of error (E)

sample mean = 110 g

sample sd = 14 g

n = 16

degree of freedom = n - 1 = 16 - 1 = 15

confidence level = 90% = 0.9

significance level = 1 - C = 1 - 0.9 = 0.1 = 10%

critical value (t) corresponding to 15 degrees of freedom and 10% significance level is 1.753

E = t × sample sd/√n = 1.753×14/√16 = 6.1355 g

Lower limit of sample mean = sample mean - E = 110 - 6.1355 = 103.8645 g

Upper limit of sample mean = sample mean + E = 110 + 6.1355 = 116.1355 g

90% confidence interval is (103.8645, 116.1355)

4 0
3 years ago
Read 2 more answers
Write using exponential notation 9*9*4*4*4*4
kolezko [41]
9^2*4^4 is the correct answer I believe.
8 0
3 years ago
Find the perimeter of a rectangle whose length is 15 cm and length of one diagonal is 17cm
Ulleksa [173]

Answer:

<h2>46 cm</h2>

Step-by-step explanation:

first ,we use the Pythagorean theorem to determine the width:

width = √(17^2-15^2) = 8

then

perimeter = 2(width+lengt) = 2(8 + 15) = 2×23 = 46

6 0
3 years ago
Please help me with this question!!!!!​
Naddika [18.5K]

Answer:

Equation of line in slope-intercept form that passes through (4, -8) and is perpendicular to the graph y= \frac {2}{5} x - 3 is below

y = - \frac {5}{2} x + 2

Step-by-step explanation:

Slope of the equation  y= \frac{2}{5} x -3   is  m_1 = \frac{2}{5}

Since slopes of perpendicular lines are negative reciprocal of each other, therefore slope of other line is given as

m_2 = - \frac {1}{m_1}  = - \frac {5}{2}

Equation of line in point slope form is given as

y-y_1=m_2(x-x_1)

Here  (x1, y1) = (4, -8)

y+8 = - \frac{5}{2} (x-4)

Simplifying it further  

y = - \frac {5}{2} x + \frac {5}{2} 4 - 8

y = - \frac {5}{2} x + 2

6 0
3 years ago
Solve the following equations;-<br><br> x - 9 /√x + 3 =1
fgiga [73]

Answer:

13 , 6.

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation to us is ,

\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1

Cross multiply ,

\sf\implies x - 9 =\sqrt{ x +3}

Squaring both sides ,

\sf\implies (x - 9)^2 = x + 3

Simplify the whole square ,

\sf\implies x^2+9^2-2.9.x = x +3 \\

\sf\implies x^2+81 - 18x = x -3

Add 3 and subtract x on both sides ,

\sf\implies x^2 -18x-x +81-3=0

Simplify ,

\sf\implies x^2 -19x +78=0

Split the middle term of the quadratic equation,

\sf\implies x^2-13x-6x+78=0

Take out common ,

\sf\implies x( x -13)-6(x-13)=0

Take out ( x -13 ) as common ,

\sf\implies ( x -13)(x-6)=0

Equate both factors to 0 ,

\sf\implies \boxed{\pink{\sf x = 13,6}}

<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> </u><u>x</u><u> is</u><u> </u><u>1</u><u>3</u><u> </u><u>or </u><u>6</u><u> </u><u>.</u>

7 0
3 years ago
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