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2 years ago

What does negative 2 over 7 > −4 indicate about the position of negative 2 over 7 and −4 on the number line?

1 answer:

6 0

-4/7 > -2

If it is greater it goes to the right, and if it is less it goes to the left.

-4/6 is located to the right of -2

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Select the statement that is true. Group of answer choices There are integers s and t such that 2=102⋅s+72⋅t . here are integers

LekaFEV [45]

Answer:

Step-by-step explanation: true

3 0

2 years ago

Which is the simplified form of the expression ((p squared) (q Superscript 5 Baseline)) Superscript negative 4 Baseline times ((

Alexus [3.1K]

Answer:

$q^{-30}$

Step-by-step explanation:

Given the expression:

$((p^2) (q ^5)) ^{-4} X ((p ^{-4}) (q^5)) ^{-2}$

First, we open the outer brackets

$=(p^{2X-4}) (q ^{5X-4})X (p ^{-4X-2}) (q^{5X-2})\\\\=(p^{-8}) (q ^{-20})X (p ^{8}) (q^{-10})\\\\$Next, we can collect like terms\\\\=p^{-8}Xp ^{8}Xq ^{-20}Xq ^{-10}\\\\$Applying addition law of indices\\\\=p^{-8+8}Xq^{-20+(-10)}\\\\=p^0 X q^{-30}\\\\=1 X q^{-30}\\\\=q^{-30}$

Therefore:

$((p^2) (q ^5)) ^{-4} X ((p ^{-4}) (q^5)) ^{-2}=q^{-30$

8 0

3 years ago

Read 2 more answers

Assume the heights in a male population are normally distributed with mean 70.3 inches and standard deviation 4.1 inches. If a r

klemol [59]

Answer:

73.1 inches

Step-by-step explanation:

We solve for this using z score formula.

z-score is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation.

x = unknown = randomly selected male's height

μ = 70.3 inches

σ = 4.1 inches

z = is not given but we are given its percentile which is 75

The z score for a 75th percentile = 0.674

Hence,

0.674 = x - 70.3/4.1

Cross Multiply

0.674 × 4.1 = x - 70.3

2.7634 = x - 70.3

x = 70.3 + 2.7634

x = 73.0634 inches

The height of the randomly selected male = 73.0634

Therefore, the height of the randomly selected male to the nearest tenth of an inch is 73.1 inches

7 0

2 years ago

What is 100 millimeters

CaHeK987 [17]

10 cenimeters

0.1 meters

1e-4 kilometers

7 0

3 years ago

13 At the beginning of 2009, Mr Veale bought a company.

katen-ka-za [31]

Answer:

£58,800

Step-by-step explanation:

The answer can be calculated using

FV=p(1+r/n)^nt

P=£50,000

r=2%=0.02

n=12

t=2009 to 2017=8 years

FV=p(1+r/n)^nt

=50,000(1+0.02/12)^12*8

=50,000(1+0.0017)^96

=50,000(1.0017)^96

=50,000(1.1771)

=58,855

FV=58,855

To the nearest £100=£58,800

7 0

2 years ago