Olivia.thomas.167(the a sign)k12.friscoisd.org

AleksAgata [21]

Answer: 3 • ? = -6

Reasoning: -6/ 3 = -2
3 • -2 = -6

8 0

2 years ago

A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop

attashe74 [19]

Answer:

$0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286$

$0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562$

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

$X= 36$ represent the families owned at least one DVD player

$n= 85$ represent the total number of families

$\hat p=\frac{36}{85}= 0.424$ represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286$

$0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562$

The 99% confidence interval would be given by (0.286;0.562)

8 0

3 years ago

Leonardo wrote an equation that has an infinite number of solutions. One of the terms in Leonardo’s equation is missing, as show

Lady bird [3.3K]

Let us suppose missing term is y

so it becomes - ( x-1) + 5 = 2 ( x+3) - y

let us now try solving it for x ( in terms of y )

-x + 1 + 5 = = 2x + 6 - y

-x + 6 = 2x + 6 -y

6 + y = 2x + 6 +x

y = 3x

y / 3 = x

but x is given to be infinite . let us try placing y= the given options

x= x/3 which is not possible

x= 3x/3 which is giving valid statement

x= 1/3 which is a finite value

x= 5/3 again a finite value

so it is only y= 3x which could be the answer

Answer : option second that is 3x

6 0

3 years ago

Read 2 more answers

2/3 (5 x 4) ÷ 3 + 6/7 I divided 3/2 is 1.5*(20)=30/3=10+1.16=11.16 is that correct not so good in math

Assoli18 [71]

$\frac{2}{3}(5*4):3+ \frac{6}{7} = \\ \\ \frac{2}{3}*20:3+ \frac{6}{7} = \\ \\ \frac{40}{3}:3+ \frac{6}{7} = \\ \\\frac{40}{9}+ \frac{6}{7}= \\ \\ \frac{40*7+6*9}{7*9}= \\ \\\frac{280+54}{63}= \\ \\ \frac{334}{63} = \\ \\ 5 \frac{19}{63} \ \ \ [as \ a \ mixed \ fraction] \\ \\ \approx 5.3 \ \ \ [as \ a \ decimal\ fraction \ to \ the \ nearest \ tenth]$