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Brums [2.3K]
3 years ago
5

Let ​ x2+11x=3 ​.

Mathematics
2 answers:
frutty [35]3 years ago
3 0
Add (11/2)^2 to both sides
x^2 + 11x + (11/2)^2 = 3 + (11/2)^2
x^2 + 11x + (11/2)^2 = 133/4
(x + 11/2)^2 = 133/4
x + 11/2 = sqrt of (133/4)
Solutions are
x = (sqrt of (133) - 11))/2
x = (-sqrt of (133) -11))/2
melamori03 [73]3 years ago
3 0
X2+11x+(-3)=0

First bracket (-3), second bracket (0)

Hope this helps.
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Bubble Bobble big blue bubble with a circumference of 15 in what was the approximate radius of the bubble before it came just a
noname [10]

Answer:

2.4 i am pretty sure

Step-by-step explanation:

you just have to work backwards

3 0
3 years ago
It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 100 randomly sele
kow [346]

Answer:

t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974      

p_v =P(t_{99}>8.974)=9.43x10^{-15}  

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.      

Step-by-step explanation:

1) Data given and notation      

\bar X=23500 represent the sample mean  

s=3900 represent the sample standard deviation      

n=100 sample size      

\mu_o =2000 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the true mean is higher than 20000, the system of hypothesis would be:      

Null hypothesis:\mu \leq 2000      

Alternative hypothesis:\mu > 2000      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

We can replace in formula (1) the info given like this:      

t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974      

Calculate the P-value      

First we need to calculate the degrees of freedom given by:  

df=n-1=100-1=99  

Since is a one-side upper test the p value would be:      

p_v =P(t_{99}>8.974)=9.43x10^{-15}  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.      

8 0
3 years ago
Pls find the surface area for me. I need help ASAP!
melomori [17]

Answer:

About 90.84 in^2

Step-by-step explanation:

The formula for the surface area of a pyramid is

lw+l\sqrt{\frac{w}{2}^2+h^2}+w\sqrt{\frac{l}{2}^2+h^2}, which for this pyramid is equal to about 90.84 in^2. Hope this helps!

3 0
3 years ago
I NEED HELP W THIS QUESTION!!
Kobotan [32]

Answer:

A

Step-by-step explanation:

To find the value you can just find 12% of each number (trial and error), until one of them gives you 90 as an answer:

A) 750

750 *  0.12 = 90

B) 1080

1080 * 0.12 = 129.6

C) 360

360 * 0.12 = 43.2

D) 1168

1168 * 0.12 = 140.16

This tells you that 90 is 12% of the 750, and that is why it is your answer


I hope this helps!

8 0
3 years ago
A helicopter travels 240 miles every 2 hours. The vehicle travels miles.
S_A_V [24]

is this the whole question because there's nothing to find?

5 0
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