If two different planes intersect then they intersect at one and only one line true or false

If m=5 and n = 2, find the value of 3mn

ki77a [65]

Answer:

30

Step-by-step explanation:

3mn=3x5x2=30

8 0

2 years ago

If you want to construct a 90% confidence interval, what critical value (z*) should you use? Group of answer choices 2.576 1.960

Rom4ik [11]

Answer:

For this case we know that the confidence level is 90% so then the significance level is $\alpha=1-0.9 =0.1$ and $\alpha/2 =0.05$ . And we can find in the normal standard distribution a value who accumulates 0.5 of the area on each tail and we got:

$z_{\alpha/2}= \pm 1.645$

And the best option would be:

1.645

Step-by-step explanation:

We assume that the parameter of interest is $\theta$ and we can assume that the distribution for this parameter is normally distributed so then the confidence interval assuming a two sided interval is given by:

$\hat \theta \pm z_{\alpha/2} SE$

Where $\hat \theta$ represent the estimator for the parameter, SE the standard error and $z_{\alpha/2}$ the critical value.

For this case we know that the confidence level is 90% so then the significance level is $\alpha=1-0.9 =0.1$ and $\alpha/2 =0.05$ . And we can find in the normal standard distribution a value who accumulates 0.5 of the area on each tail and we got:

$z_{\alpha/2}= \pm 1.645$

And the best option would be:

1.645

6 0

3 years ago

−12.6x−4.9x=−154 solve for x

drek231 [11]

Answer:

Step-by-step explanation:

-12.6-4.9x=-154

-17.5x=-154

X=8.8

3 0

3 years ago

Read 2 more answers

A football field is 120 yards by 53.333 yards. What is the area of the football field in acres if 1 acre=43560 ft?? Use correct

MA_775_DIABLO [31]

Answer:

<h2>The area of the pitch in an acre is 1.32 acre</h2>

Step-by-step explanation:

This problem requires to test our understanding of unit conversion, and we are expected to present our answer in an acre

first, let us convert from the yard to feet

given that the dimension of the pitch is

120 yards by

53.333 yard

1 yard is 3 foot

120 yards will give x

cross multiply we have

x1= 120*3

x1= 360 feet

also the second dimension is

x2= 53.333*3

x2= 159.999

x2= 159.999 feet

the area of the pitch is

area= 159.999*360

area= 57599.64 ft^2

Note: an acre is a unit for land area (1 acre=43560 ft^2)

if 1 acre = 43560 ft^2

x acre = 57599.64 ft^2

cross multiply we have

x acre = 57599.64/43560

x acre = 1.32 acre

5 0

3 years ago

Jim is half his mother's age. His mother is 5 years younger than his father, in total their ages are 100 years. What is Jim's ag

atroni [7]

Jim is 19

let fathers age be x then mothers age = x - 5 and Jim's age is $\frac{1}{2}$ (x - 5)

Total their ages and equate to 100

x + x - 5 + $\frac{1}{2}$ (x - 5 ) = 100

multiply through by 2 to eliminate the fraction

2x + 2x - 10 + x - 5 = 200

5x - 15 = 200 ( add 15 to both sides )

5x = 215 ( divide both sides by 5 )

x = 43

father is 43 years, mother is 38 and Jim is 19

5 0

3 years ago