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Korvikt [17]
2 years ago
12

1 1/3 Divided by 5/6

Mathematics
2 answers:
Ipatiy [6.2K]2 years ago
4 0
The answer I got is 4 2/5
UNO [17]2 years ago
3 0
1 1/3 /
5/6
=
8/5 or 1 3/5
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Me ajuda ai por favor tenho que entregar amanhã
elena-14-01-66 [18.8K]

a) (2a - b)² = (4a² - 4ab + b²)

b) (10m - n²)² = (100m² - 20mn² + n⁴)

c) (4x - 4²) = (16x² - 8x + 4⁴)

d){( \frac{1}{3} x - y) }^{2}  =  ({ \frac{1}{9}x }^{2}  -  \frac{2}{3} xy +  {y}^{2} )

e)

(0.25 - a) ^{2}  = (0.25^{2}  - (2)(0.25)a +  {a}^{2} ) \\  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \: \:  = ( \frac{1}{16}  -  \frac{1}{2} a +  {a}^{2} )

f)

{( \frac{2x}{3}  -  \frac{1}{2} )}^{2}  = ( \frac{4 {x}^{2} }{9}  -  \frac{2x}{3}   +  \frac{1}{4} )

6 0
3 years ago
Multiply 3x (2x - 1)​
Volgvan

Answer:

6x^2 - 3x

6x^2-3x

Step-by-step explanation:

3x (2x-1)

multiply 3x by 2x -> 6x^2

multiply 3x by -1 -> -3x

6 0
2 years ago
Read 2 more answers
a music store sells a used guitar for $120. This is $25 more than 1/2 the cost of a new guitar of the same brand. what is the co
labwork [276]

Answer:

$190.

Step-by-step explanation:

We can write the equation 120=25+1/2n where n is the cost of a new guitar. First, we subtract 25 from both sides to get 95=1/2n. Then, we multiply both sides by 2 to get 190=n. Therefore, the cost of a new guitar is $190.

3 0
3 years ago
Solve for x in the exponential equation 3^x=8​
KonstantinChe [14]

Answer:

x=1.89278

Step-by-step explanation:

change into a logmarith

log_3 8=x

use change of base formula

put in calculator

x= 1.89278

7 0
3 years ago
Cable Strength: A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the ca
KatRina [158]

Answer:

95% confidence interval for the mean breaking strength of the new steel cable is [763.65 lb , 772.75 lb].

Step-by-step explanation:

We are given that the engineers take a random sample of 45 cables and apply weights to each of them until they break. The mean breaking weight for the 45 cables is 768.2 lb. The standard deviation of the breaking weight for the sample is 15.1 lb.

Since, in the question it is not specified that how much confidence interval has be constructed; so we assume to be constructing of 95% confidence interval.

Firstly, the Pivotal quantity for 95% confidence interval for the population mean is given by;

                            P.Q. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean breaking weight = 768.2 lb

            s = sample standard deviation = 15.1 lb

            n = sample of cables = 45

            \mu = population mean breaking strength

Here for constructing 95% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

<u>So, 95% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-2.02 < t_4_4 < 2.02) = 0.95  {As the critical value of t at 44 degree

                                           of freedom are -2.02 & 2.02 with P = 2.5%}  

P(-2.02 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.02) = 0.95

P( -2.02 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.02 \times {\frac{s}{\sqrt{n} } } ) = 0.95

P( \bar X-2.02 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.02 \times {\frac{s}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X-2.02 \times {\frac{s}{\sqrt{n} } } , \bar X+2.02 \times {\frac{s}{\sqrt{n} } } ]

                                     = [ 768.2-2.02 \times {\frac{15.1}{\sqrt{45} } } , 768.2+2.02 \times {\frac{15.1}{\sqrt{45} } } ]

                                     = [763.65 lb , 772.75 lb]

Therefore, 95% confidence interval for the mean breaking strength of the new steel cable is [763.65 lb , 772.75 lb].

3 0
3 years ago
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