Use rounding or compatible numbers to estimate the sum of 63+71

Yanka [14]

$3{ x }^{ 2 }-5x=2\\ \\ 3{ x }^{ 2 }-5x-2=0\\ \\ \left( 3x+1 \right) \left( x-2 \right) =0\\ \\ \therefore \quad x=2\\ \\ \therefore \quad x=-\frac { 1 }{ 3 }$

8 0

4 years ago

Please help!

Tanzania [10]

Mode, because out of the 3 numbers, it is the least. BTW- the only reason I know this is because I had this question not too long ago

8 0

4 years ago

Worth 50 points and I will mark brainliest.

olchik [2.2K]

x= -13 , y=11

Step-by-step explanation:

Using elimination method, make the x variable equal to eliminate the variable

-3x - y = -28

2x+ 3y=7

2(-3x-y =28)

3(2x+3y=7)

-6x - 2y =56

6x +9y=21

Apply addition

7y = 77

y=77/7 = 11

Use the value of y=11 in

2x+ 3y=7

2x +3(11) =7

2x +33 =7

2x=7-33

2x= -26

x= -26/2 = -13

Learn More

Solving simultaneous equations :brainly.com/question/12318095

Keywords ; linear combination method,equations, justify,steps

#LearnwithBrainly

7 0

3 years ago

company with a large fleet of cars hopes to keep gasoline costs down and sets a goal of attaining a fleet average of at least 26

podryga [215]

Answer:

$t=\frac{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435$

$p_v =P(t_{(49)}$

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.

Step-by-step explanation:

Data given and notation

$\bar X=25.02$ represent the sample mean

$s=4.83$ represent the sample standard deviation

$n=50$ sample size

$\mu_o =26$ 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 check if the mean is at least 26 mpg, the system of hypothesis would be:

Null hypothesis: $\mu \geq 26$

Alternative hypothesis: $\mu < 26$

If we analyze the size for the sample is > 30 but we don't know the population deviation so 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:

$t=\frac{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=50-1=49$

Since is a one sided test the p value would be:

$p_v =P(t_{(49)}$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.

3 0

3 years ago

Aliens have injected Ana with mathematical nanobots. These nanobots force Ana to think about math more and more. Initially, ther

natulia [17]

Answer:

<em>Math will take over Ana's brain at 4.4 hours</em>

Step-by-step explanation:

<u>Exponential Grow </u>

The population of the nanobots follows the equation

$p(t) = 5\cdot 2^t$