Part 1

What is the value of x in the equation 4(2x + 12) = 0? −8 −6 6 8

dimaraw [331]

Answer:

-6

Step-by-step explanation:

4(2x+12)=0

8x+48=0

8x=-48

x=-6

3 0

3 years ago

The valve was tested on 270 engines and the mean pressure was 6.6 lbs/square inch. Assume the variance is known to be 0.49. If t

BlackZzzverrR [31]

Answer:

$z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347$

The p value for this case would be given by"

$p_v =2*P(z>2.347)=0.0189$

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

Step-by-step explanation:

Information given

$\bar X=6.6$ represent the sample mean

$s=\sqrt{0.49}= 0.7$ represent the population deviation

$n=270$ sample size

$\mu_o =6.5$ represent the value that we want to test

$\alpha=0.1$ represent the significance level

z would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to verify

We want to verify if the true mean for this case is equal to 6.5 lbs/square inch or not , the system of hypothesis would be:

Null hypothesis: $\mu= 6.5$

Alternative hypothesis: $\mu \neq 6.5$

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

And replacing we got:

$z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347$

The p value for this case would be given by"

$p_v =2*P(z>2.347)=0.0189$

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

8 0

4 years ago

Pleaseeeee helpppp meeeeee

Crank

Answer:

2. -18w + 6

4. 2w - 20w + 6

Step-by-step explanation:

$2w + \frac{1}{2} ( - 40w + 12) \\ 2w - 20w + 6 \\ - 18w + 6 \\$

3 0

3 years ago

What is the length of the hypotenuse? Answer : 17

leonid [27]

Answer:

Below.

Step-by-step explanation:

Finding the hypotenuse:

Recall the formula of Pythagoras'theorem,

(Hypotenuse)² = (Base)² + (Perpendicular)²

Given that base = 8 and perpendicular = 15

Plugging the values,we obtain

H² = 8² + (15)²
H² = 64 + 225
H² = 289
H = √(17*17)
H = 17

Now applying trigonometric functions:

Recall SOHCAHTOA , it's very helpful.

Sin θ = Sin A = Opposite/Hypotenuse

Sin A = 15/17 ≈ 0.88

cos θ = cos A = Adjacent/Hypotenuse

cos A = 8/17 ≈ 0.47

Tan θ = tan A = Opposite/Adjacent

tan A = 15/8 ≈ 1.88

Note: The values in decimal are rounded to nearest hundredth.

3 0

2 years ago

Two sailboats had a race. Sailboat A traveled 40 feet every 5 seconds, and sailboat B traveled 56 feet every 8 seconds. Which sa

Novosadov [1.4K]

Answer:

Sailboat A won the race, and it was going 8 feet per second.

Step-by-step explanation:

Sailboat A was traveling at 40 feet per every 5 seconds, so, to find how many feet it was going per second, we would do 40 feet/5 seconds, which is 8 feet.

Sailboat B was traveling at 56 feet per every 8 seconds, so we use the same method. 56 feet/8 seconds is 7 feet.

So, Sailboat A won because it was going faster! :)

6 0

2 years ago