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3 years ago

5x-11=19. Solve for x. Please explain how you got x

Mathematics

1 answer:

Elenna [48]3 years ago

3 0

Answer:

x = 6

Step-by-step explanation:

5x - 11 = 19

+11 = +11

5x = 30

5x/5 = 30/5

x = 6

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Liam paints chairs at a constant rate. He paints 2 chairs in 20 minutes. Which equation represents the relationship between h, t

ella [17]

Answer:

Step-by-step explanation:

1 per 10 minutes

that means 6 per hour

4 0

3 years ago

Need help on this please

Jobisdone [24]

Answer:

157.08m²

Step-by-step explanation:

Since the area of a circle is A=πr²

The radius is 10, so

A=π10²

A=314.16 (rounded to nearest hundredth)

Half of that is 157.08.

6 0

3 years ago

If p+1/p - 7 then find the value of p³+1/p³

ankoles [38]

Answer:

322

Step-by-step explanation:

We have,

a^3+b^3=(a+b)^3-3ab(a+b)

p+1/p=7

Now,

p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)

=7^3-3(7)=343-21=322

5 0

3 years ago

Jackson gets paid $15 per hour and already has $60 in his savings. Jackson already has a total of $330. How many hours has he wo

rewona [7]

Answer:

18 Hours

Step-by-step explanation:

$330 - $60

= $270

$270 / $15

= 18 Hours

Hope this Helps! :)

4 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.

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].

3 0

3 years ago