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3 years ago

Write two decimals thata re equivalent to the given decimal 5.300

Mathematics

2 answers:

LekaFEV [45]3 years ago

8 0

5.3 and 5.30 would probably be best i think

GuDViN [60]3 years ago

8 0

5.3 and 5.30 is the answer

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The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.

NeX [460]

Answer:

a) the area of a square is in terms of x is

$(x+1)^2$ centimeter square

b)The length of the rectangle is l = (x+1)

l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

area of square is $l^{2} = (x+1)(x+1)$

= $(x+1)^2$

b) Given length is l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is 24 cm

Area of rectangle = length X width

24 = (x+1)(x+1 -5 )

now simplification $24 = (x+1)^2 - 5 (x+1)$

apply (a+b)^2 = a^2+2 a b+b^2

$x^2+2 x+1-5 x-5 =24$

$x^2 -3 x -4-24=0$

$x^{2} -3 x -28 =0$

now find factors of 28 = 7 X 4 is

$x^{2} -7 x+4 x-28=0$

$x(x-7)+4(x-7)=0$

$(x+4)(x-7)=0$

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle = 24 = 8 X 3

24 =24

so we can not choose x=-4

we have to choose x =7 only

7 0

3 years ago

Which values of x would make a polynomial equal to zero if the factors of the polynomial were (x-5) and (x-6)

meriva

x-5= 0

move -5 to the other side

sign changes from -5 to +5

x-5+5= 0+5

x= 5

x-6= 0

x-6+6= 0+6

x= 6

Answer: B. 5 and 6

5 0

3 years ago

Read 2 more answers

A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of m

katovenus [111]

Answer:657

Step-by-step explanation:

3 0

3 years ago

If outliers are discarded, then the retirement savings by residents of Econistan is normally distributed with a mean of $100,000

zavuch27 [327]

Answer:

$P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)$

And we can find this probability using the complement rule and the normal standard table or excel:

$P(z>0.85)=1-P(z$

The firgure attached illustrate the problem

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the retirement savings of a population, and for this case we know the distribution for X is given by:

$X \sim N(100000,20000)$