The bakers at

The Randall farm has 22.82 acres. The Schneider farm has 22 7 over 8 acres. which farm is larger?

Marysya12 [62]

let's convert the mixed fraction to improper fraction, and then check.

$\bf \stackrel{mixed}{22\frac{7}{8}}\implies \cfrac{22\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{183}{8}}\stackrel{\textit{to decimal}}{\implies }183\div 8\implies 22.875 \\\\\\ \begin{array}{rrll} Randall&Schneider\\ \cline{1-2} 22.82&22.875\\ 22.820&\\ 820&875 \end{array}\impliedby \stackrel{\textit{so as you can see}}{820 < 875}\qquad \qquad \stackrel{therefore}{22.875 > 22.82}$

3 0

2 years ago

Lila is building a slide for her kids. The ladder is 3 meters tall and the slide is 5 meters long. What is the distance between

lisov135 [29]

Answer:

Step-by-step explanation: For a problem like this, it’s best to use Pythagorean Theorem which is a^2+b^2=c^2 .

In this problem they gave us a and c already so we are trying to find b.

3^2+?=5^2

9+?=25

25-9=16

Find the square root of 16 which is 4

Answer: The distance between the ladder and the slide is 4 meters

7 0

3 years ago

Pls help pls helppp i will giving breanlist

GaryK [48]

Answer:

[-5, 4) ∪ (4, ∞)

Step-by-step explanation:

Given functions:

$f(x)=\dfrac{1}{x-3}$

$g(x)=\sqrt{x+5}$

Composite function:

$\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}$

Domain: input values (x-values)

For $(f\:o\:g)(x)$ to be defined:

$x+5\geq 0 \implies x\geq -5$

$\sqrt{x+5}\neq 3 \implies x\neq 4$

Therefore, $-5\leq x < 4$ and $x > 4$

⇒ [-5, 4) ∪ (4, ∞)

3 0

2 years ago

What is the measure of b

Pachacha [2.7K]

Answer:

90-66=24

Step-by-step explanation:

8 0

2 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