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3 years ago

Four times a number, minus 8, is equal to three times the number plus 4

Mathematics

2 answers:

Eva8 [605]3 years ago

6 0

Answer:

4n-8=3n+4

Step-by-step explanation:

4n-8=3n+4

+8 +8

4n=3n+12

-3n -3n

n=12

Oxana [17]3 years ago

4 0

Step-by-step explanation:

correct equation is

(4x - 8 ) =(3x + 4)

4x - 3x = 8 + 4

x = 12

hope it helps

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Suppose that 8% of the students in your school are Swedish. If you stop students at random in the hall way and ask whether they'

const2013 [10]

Given that 8% of the students are Swedish, this means that 100 - 8 = 92% are not Swedish.

Let S represent the event that a student is Swedish and N represent the event that a student is not a Swedish.

Then, the probability that a student chosen at random is a Swedish, P(S), = 8% = 0.08
The probability that a student chosen at random is not a Swedish, P(N), = 92% = 0.92

That the first Swedish person found was on the third trial means that the first and second trial produced a non-Swedish.

Therefore, the required probability = 0.92 x 0.92 x 0.08 = 0.068 to three decimal places.

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3 years ago

An airplane moves at a constant speed of 120 miles per hour for 3 hours. How many miles does it go?

irina [24]

Answer:

120 miles per hour

total time 3 hours

120 x 3= 360

the plane travels 360 miles

Step-by-step explanation:

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3 years ago

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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.

So, 95% confidence interval for the population mean, $\mu$ is ;

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

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

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

= [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].

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4 years ago

Identify a fraction that is equivalent to 25/100

Yakvenalex [24]

1/4 is a fraction equivalent

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3 years ago

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Simplify: -5g + 2h - 3g + g -2h

Charra [1.4K]

-7g+h you have to simplify by adding and subtracting same values so h’s together and g’s together

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4 years ago

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