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crimeas [40]
2 years ago
7

Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Mathematics
1 answer:
julsineya [31]2 years ago
7 0
The answer is -8/1 two negatives equals negative which would be -11 then subtract positive 3 equals-8
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Inequality to x2 < 64
Anarel [89]
              NOT MY WORDS TAKEN FROM A SOURCE!

(x^2) <64  => (x^2) -64 < 64-64 => (x^2) - 64 < 0 64= 8^2    so    (x^2) - (8^2) < 0  To solve the inequality we first find the roots (values of x that make (x^2) - (8^2) = 0 ) Note that if we can express (x^2) - (y^2) as (x-y)* (x+y)  You can work backwards and verify this is true. so let's set (x^2) - (8^2)  equal to zero to find the roots: (x^2) - (8^2) = 0   => (x-8)*(x+8) = 0       if x-8 = 0 => x=8      and if x+8 = 0 => x=-8 So x= +/-8 are the roots of x^2) - (8^2)Now you need to pick any x values less than -8 (the smaller root) , one x value between -8 and +8 (the two roots), and one x value greater than 8 (the greater root) and see if the sign is positive or negative. 1) Let's pick -10 (which is smaller than -8). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0  so it is positive
2) Let's pick 0 (which is greater than -8, larger than 8). If x=0, then (x^2) - (8^2) = 0-64 = -64 <0  so it is negative3) Let's pick +10 (which is greater than 10). If x=-10, then (x^2) - (8^2) = 100-64 = 36>0  so it is positive Since we are interested in (x^2) - 64 < 0, then x should be between -8 and positive 8. So  -8<x<8 Note: If you choose any number outside this range for x, and square it it will be greater than 64 and so it is not valid.

Hope this helped!

:)
7 0
3 years ago
How many dogs were household pets in the U.S in 2012, in scientific notation
Irina18 [472]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Of 585 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compared
Dafna1 [17]

Answer:

a) The 99% confidence interval is from 14.8% to 23.2%.

b) The confidence interval tells us that the true proportion of mislabeled is within 14.8% and 23.2%, with a 99% confidence. In other words, if we take samples of the same size, 99% of the samples will have a proportion within 0.148 and 0.232.

c) The confidence interval calculation take into account the sample size, so the width (or precision) of the interval depends on the sample size.

The only criticism that could be analyzed is to see if the sample is representative of the population.

Step-by-step explanation:

a) We have to calculate a 99% confidence interval for the proportion.

The sample proportion is p=0.19.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.19*0.81}{585}}\\\\\\ \sigma_p=\sqrt{0.000263}=0.016

The critical z-value for a 99% confidence interval is z=2.576.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=2.576 \cdot 0.02=0.042

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.19-0.042=0.148\\\\UL=p+z \cdot \sigma_p = 0.19+0.042=0.232

The 99% confidence interval for the population proportion is (0.148, 0.232).

5 0
3 years ago
Fine Floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how long would it take to install
AnnZ [28]
D is your awnser here
3 0
3 years ago
Read 2 more answers
A ball is thrown straight up from the top of a building that is 400 ft high with an initial velocity of 64 ft/s. The height of t
otez555 [7]

Answer:

The time(s) the ball is higher than the building: Interval (0,4)

Step-by-step explanation:

s(t)=-16t^2+64t+400

Determine the time(s) the ball is higher than the building:

s(t)>400

-16t^2+64t+400>400

Subtracting 400 both sides on the inequality:

-16t^2+64t+400-400>400-400

-16t^2+64t>0

Multiplying the inequality by -1:

(-1)(-16t^2+64t>0)

16t^2-64t<0

Fatorizing: Comon factor 16t:

16t(16t^2/16t-64t/16t)<0

16t(t-4)<0

t is greater than zero:

t>0→t-4<0→t-4+4<0+4→t<4

Then t>0 ant t<4:

Solution = (0, Infinite) ∩ (-Infinite, 4)

Solution = (0,4)


7 0
3 years ago
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