Choose the compound inequality that is equivalent to: 5 < x

A triangle has side lengths of 20 cm, 99 cm, and 108 cm. Classify it as acute, obtuse, or right.

Tasya [4]

This doesn't make sense, as a triangle much equal 180, so it cannot have two angles bigger than 90, because this would mean it cannot be acute. A right triangle has one angle that is 90, obtuse as one that is bigger than 90 and two that are less, and an acute has three angles less than 90. Maybe there's a typo here?

6 0

4 years ago

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Trick Question:

Feliz [49]

When you are 10 years ,your sister will be 10/2 = 5 years

10 - 5 = 5
Your sister is 5 years younger to you

After 90 years your age will be 100 years.
After 90 years your sister's age will be 5+90 = 95 years

Correct option A

Hope This Helps You!

4 0

4 years ago

Prove: The quadrilateral formed by joining in order the midpoints of the sides of a rectangle is a parallelogram. Given: ABCD is

Ludmilka [50]

Answer:

If a pair of opposite sides of a quadrilateral are parallel and equal, then it is a parallelogram.

Step-by-step explanation:

By definition, a parallelogram is a quadrilateral with two pairs of parallel sides. These parallel sides are of equal length and the opposite angles of a parallelogram are of equal measure.

4 0

3 years ago

X=-4y<br> 3x+2y=20 <br> Substitution

nadezda [96]

Answer: y= -2; x = 8

Step-by-step explanation:

X=-4y.......equation 1

3x+2y=20......equation 2

Substitute the value of x into equation 2

3 (-4y) + 2y = 20

-12y + 2y = 20

-10y = 20

Divide both sides by -10

y = 20/-10

y = -2

Substitute the value of y into equation 1 to get the value of x

x = - 4(-2)

x = 8

I hope this helps greatly, please mark as brainliest answer.

7 0

3 years ago

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A sample of 18 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is n

ki77a [65]

Answer:

a)

i. x=- - - - - -

ii. o=- - - - - -

iii. Sx=- - - - -

b) The random variable X signifies the weights of the bags of candies which are selected at random.

c) The statistics variable X is a measure on a sample that is used as an estimate of the population mean.X is the mean weight of the 16 bags of candies that were selected.

d) The distribution needed for this problem is normal distribution with parameters because the population standard deviation is known.

N(X, o/ $\sqrt{n}$ )

So, the distribution is

N(2, 0.12/ $\sqrt{16}$ )

e)

i. The 90% confidence interval for the population mean weight of the candies is 1.9589 , 2.0411

iii. The error bound is 0.0411

f)

i. The 98% confidence interval for the population mean weight of the candies is 1.9418 , 2.0582

iii. The error bound is 0.0582

g) The difference in the confidence intervals in part (f) and part (e) is of the level of confidence. The change is, the change in the area being calculated for the normal distribution. Therefore, the larger confidence level results in larger area and larger interval.

Hence the interval in part is larger than the one in part (e).

h) The interval in part (f) signifies that with 98% confidence that the population mean weight of the bag of candies lies between 1.942 ounce and 2.058 ounce.

Step-by-step explanation:

a)

i. x=- - - - - -

ii. o=- - - - - -

iii. Sx=- - - - -

b) The random variable X signifies the weights of the bags of candies which are selected at random.

c) The statistics variable X is a measure on a sample that is used as an estimate of the population mean.X is the mean weight of the 16 bags of candies that were selected.

d) The distribution needed for this problem is normal distribution with parameters because the population standard deviation is known.

N(X, o/ $\sqrt{n}$ )

So, the distribution is

N(2, 0.12/ $\sqrt{16}$ )

e)

i. The 90% confidence interval for the population mean weight of the candies is 1.9589 , 2.0411

iii. The error bound is 0.0411

f)

i. The 98% confidence interval for the population mean weight of the candies is 1.9418 , 2.0582

iii. The error bound is 0.0582

g) The difference in the confidence intervals in part (f) and part (e) is of the level of confidence. The change is, the change in the area being calculated for the normal distribution. Therefore, the larger confidence level results in larger area and larger interval.

Hence the interval in part is larger than the one in part (e).

h) The interval in part (f) signifies that with 98% confidence that the population mean weight of the bag of candies lies between 1.942 ounce and 2.058 ounce.

5 0

3 years ago

Choose the compound inequality that is equivalent to: 5 < x < 10