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3 years ago

Find the critical value zα/2 that corresponds to a 93% confidence level.

1 answer:

4 0

The critical value is used to compute the margin of error. (Margin of error = Critical value x Standard deviation of the statistic or Margin of error = Critical value x Standard error of the statistic).
If the statistic has normal sampling distribution, then the the critical value can be expressed as a t score or as a z score.
α = 1 - (confidence level / 100)
α = 1 - (93 / 100)=1-0.93=0.07
The critical probability is: pc= 1 - α/2 pc=1-0.035=0.965
The critical value is 1.81.

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If y is the circumcenter is angle STU find each measure

snow_tiger [21]

Answer:

Measures are SV=9 units., SY=14 units, YW= $\sqrt75units$ , YW= $\sqrt27units$

Step-by-step explanation:

Given Y is the circumcenter of ΔSTU. we have to find the measures SV, SY, YW and YX.

As Circumcenter is equidistant from the vertices of triangle and also The circumcenter is the point at which the three perpendicular bisectors of the sides of the triangle meet.

Hence, VY, YW and YX are the perpendicular bisectors on the sides ST, TU and SU.

Given ST=18 units.

As VY is perpendicular bisector implies SV=9 units.

Also in triangle VTY

$YT^{2}=VY^{2}+VT^{2}$

⇒ $14^{2}=VY^{2}+9^{2}$

⇒ VY^{2}=115

As vertices of triangle are equidistant from the circumcenter

⇒ SY=YT=UY=14 units

Hence, SY is 14 units

In ΔUWY, $UY^{2}=YW^{2}+UW^{2}$

⇒ $14^{2}=YW^2+11^{2}$

⇒ $YW^2=196-121=75$ ⇒ YW= $\sqrt75units$

In ΔYXU, $UY^{2}=YX^{2}+XU^{2}$

⇒ $14^{2}=YX^2+13^{2}$

⇒ $YX^2=196-169=27$ ⇒ YW= $\sqrt27units$

Hence, measures are SV=9 units., SY=14 units, YW= $\sqrt75units$ , YW= $\sqrt27units$

4 0

3 years ago

You have a 20-ounce bottle of juice. You pour out 14 of the bottle to share with a friend. If you pour out 3 ounces for yourself

jeyben [28]

20-14=6 6-3=3 3/20 is the answer for the fraction of ounces left

4 0

3 years ago

Tomika uses 619 inches of wire to make a necklace and 313 inches of wire to make a bracelet.

Lisa [10]

Answer:

2,796.

Step-by-step explanation:

First, I added 619 + 313, which is 932. Since she is able to use more, I multiplied it by two to get me 1,864. If I tried multiplying it by three, I would get 2,796, which is a perfect amount.

4 0

3 years ago

A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: ŷ = 13

Lunna [17]

Answer:

$y=6x +135$

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

Step-by-step explanation:

We assume that they use least squares in order to create the regression equation

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

And the slope would be:

$m=6$

The means for x and y are given by:

$\bar x= \frac{\sum x_i}{n}$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x$

For this case we know that the line adjusted is:

$y=6x +135$

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

3 0

3 years ago

BEEN ASKING FIR AN HOUR: A rectangle's length is 3 feet shorter than 4 times the width. If we use w to represent the rectangle's

Tatiana [17]

Answer:

Step-by-step explanation:

w is the width of the rectangle, then the length would be 4w - 3.

A = lw

A = w(4w -3)

A =4w² - 3w

Hope this helped!!!

3 0

3 years ago