The height of a triangular road sign is 1 inch shorter than twice its base. if the area of the sign is 60 in.2, which equation c

Answer:

Step-by-step explanation:

Given data and notation

indicates the sample mean

refers to the sample standard deviation

is the sample size

represents the value we are testing.

indicates the significance level for the hypothesis test.

t refers to the statistic of interest.

is the p-value for the test (the variable we are interested in).

Formulate the null and alternative hypotheses.

I will set up the hypotheses to verify if the mean weight falls below 4 ounces, formalizing:

Null hypothesis:

Alternative hypothesis:

Since our sample size is < 30 and the population standard deviation is unknown, it’s advisable to utilize a t test to compare the actual mean against the reference value, with the statistic calculated as follows:

(1)

t-test: "This test compares group means and is commonly utilized to determine if the mean is (greater than, less than, or not equal to) a specific value."

Calculate the statistic

We can substitute the provided information into formula (1):

Response:

PQ's slope is 0

MN's slope equals infinity

The lines PQ and MN are perpendicular to one another

Detailed explanation:

For two points in the coordinate plane, denoted as (x1, y1) and (x2, y2), the slope is determined as follows:

If a line has a slope of zero, it runs parallel to the X-axis and stands perpendicular to the Y-axis

If a line's slope is infinite, it is parallel to the Y-axis and perpendicular to the X-axis

Moreover, it is established that X and Y are perpendicular to each other.

As PQ's slope is zero, it runs parallel to the X-axis and perpendicular to the Y-axis

With MN having an infinite slope, it runs parallel to the Y-axis and perpendicular to the X-axis.

Therefore, lines PQ and MN are indeed perpendicular.

Answer:

reflects the required domain.

Step-by-step explanation:

We have two squares provided

Let the area of the larger square be denoted as x

The area of the smaller square is given, and we need to determine the domain for the larger square's area.

The domain refers to the possible values that x can assume in a function

In this context, x represents the area of the larger square

Because the area of the smaller square is

The area of the larger square must exceed

The domain will consist of all real numbers greater than 10

Mathematically, indicates the required domain.

ratio 5:2

105, ___

5x = 105 → x = 21

2x = ____ → 2(21) = 42

Result: 42°

Answer:

15.6

Step-by-step explanation:

1. 
2. Insert 39/4: 39/4 ÷ 5/8
3. 39/4 ÷ 5/8 = 39/4 × 8/5
4. 39/4 × 8/5 = 312/20
5. 

I hope this information is helpful!