On the middle school baseball team, 8 players are sixth graders. Of the players, 40% are sixth graders. How many

EastWind [94]

The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.

<h3>What is the Quartic Formula?</h3>

The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.

<h3>What is the solution to the above question?</h3>

First we restate the above equation:

x²-3x+2= √(x-2) + 2

Next we remove square roots

$x^{4}$ - 6x³ + 9x² = x - 2

Add two to both sides

→ $x^{4}$ - 6x³ + 9x²+2 = x - 2 +2

→ $x^{4}$ - 6x³ + 9x²+2 = x

Subtract X from both sides

→ $x^{4}$ - 6x³ + 9x²+2 -x = x -x

→ $x^{4}$ - 6x³ + 9x²+2 - x= 0

Using the Quartic formula to solve the fourth order equation:
a $x^{4}$ + bx³ + cx² + dx + e

The resolution of x is given as:

x = 2.691085, 3.346753

Because the fraction nearest to 3.4 is 55/16

hence, the correct answer is Option A.

Learn more about quadratic equations at;
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6 0

2 years ago

Which statement correctly compares the weight of a newborn beluga and newborn muskox

astraxan [27]

A new born beluga weighs 6 times as much as a newborn muskox.

8 0

3 years ago

Each day Alyssa jogs for 25 Minutes on the treadmill she jogs 135 Meters each day .How many kilometers will Alyssa in 25 minutes

velikii [3]

0.135
1 meter = 0.001 kilometers

4 0

3 years ago

Ms. Walker's class set up an online fund with a goal to raise $1,280 to go on a field trip. Ms. Walker starts the fund by deposi

madreJ [45]

What you can use for this case is a function of the potential type.
We have then
y = a (b) ^ x
Where we have:
Walker starts the fund by depositing $ 5
a = 5
Each week the balance of the fund is twice the balance of the previous week:
b = 2
The function is:
y = 5 (2) ^ x
The number of weeks to reach $ 1280 is 8 weeks.
Check:
y = 5 (2) ^ 8
y = 1280
Answer:
An equation can be used to find the number of weeks, x, after which the balance of the fund will reach $ 1,280 is:
y = 5 (2) ^ x
The number of weeks that it takes to reach the class goal is
8 weeks

4 0

3 years ago

Read 2 more answers

Test the hypothesis using the P value approach. Be sure the verify the requirements of the test.

Andreas93 [3]

Answer:

$p_v =2*P(z$

If we compare the p value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion is not significantly different from 0.77.

Step-by-step explanation:

1) Data given and notation

n=500 represent the random sample taken

X=380 represent the number of people with some characteristic

$\hat p=\frac{380}{500}=0.76$ estimated proportion of adults that said that it is morally wrong to not report all income on tax returns

$p_o=0.76$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.7 .:

Null hypothesis: $p=0.77$

Alternative hypothesis: $p \neq 0.77$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

<em>Check for the assumptions that he sample must satisfy in order to apply the test </em>

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.

b) The sample needs to be large enough

$np_o =500*0.77=385>10$

$n(1-p_o)=384*(1-0.77)=115>10$

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.76-0.77}{\sqrt{\frac{0.77(1-0.77)}{500}}}=-0.531$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z$

If we compare the p value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion is not significantly different from 0.77.

6 0

4 years ago