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1 year ago

Complete the equation of this circle: (x − [?])²+(y - [ ])²=[ ]

Mathematics

1 answer:

Neko [114]1 year ago

7 0

Answer:

(x-{-2})^2+(y-{4})^2={36}

Equation:

x^2+y^2=r^2

r=radius

Blank following x/y is flipped center(of circle) coordinate for x/y

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What is the distance between points W (-6, 4) and X (6,-8) to the nearest hundredth?

fomenos

Answer:

-1

Step-by-step explanation:

7 0

3 years ago

Fowle Marketing Research Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean tim

sergejj [24]

Answer:

a) Null hypothesis: $\mu \leq 15$

Alternative hypothesis: $\mu > 15$

b) $t=\frac{17-15}{\frac{4}{\sqrt{35}}}=2.958$

c) $p_v =P(t_{34}>2.958)=0.0028$

d) If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 1% of signficance.

Step-by-step explanation:

Data given and notation

The sample mean is given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And the sample deviation is:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=17$ represent the sample mean

$s=4$ represent the sample standard deviation

$n=35$ sample size

$\mu_o =15$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

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

Part a State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is less or equal than 15, the system of hypothesis would be:

Null hypothesis: $\mu \leq 15$

Alternative hypothesis: $\mu > 15$

Since we don't know the population deviation, 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".

Part b Calculate the statistic

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

$t=\frac{17-15}{\frac{4}{\sqrt{35}}}=2.958$

Part c P-value

The degrees of freedom are given by:

$df = n-1= 35-1=34$

Since is a right tailed test the p value would be:

$p_v =P(t_{34}>2.958)=0.0028$

Part d Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 1% of signficance.

7 0

2 years ago

Jordan has 4/5 as many DVDs as Joseph. If Jordan has 56 DVDs, then how many does joseph have?

Andreyy89

Jordan has 4/5 as many DVDs as Joseph means joseph has more DVDs than Jordan. number of joseph's DVDs * 4/5 = 56 so
<span>number of joseph's DVDs= 56 * 5/4 = 70</span>

3 0

3 years ago

Read 2 more answers

____ is the amount of a $3,000.00 annuity due at 12 percent compounded semiannually for 3 years

ANEK [815]

The formula of the present value of annuity due:
$PV=C*[\frac{1-(1+i)^{-n}}{i}]*(1+i)$

For your case:
C = $3000
i = 12% / 100 = 0.12
n = 3 * 2 = 6 (semiannually for 3 years means 6 payments)

So, the solution is:
$PV=3000*[\frac{1-(1+0.12)^{-6}}{0.12}]*(1+0.12)=3000*[\frac{1-0.5066}{0.12}]*1.12=$
$=3000*[\frac{1-0.5066}{0.12}]*1.12=3000*4.1114*1.12=13814.32$