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Rzqust [24]
3 years ago
9

What is the area of this triangle?

Mathematics
2 answers:
Nutka1998 [239]3 years ago
8 0

Answer:

ok you have to multiply 19 1/4 by 19 1/2 first you have to change them to a decimal then multiply them and that should be the answer if you do the math right ok hope this helped

Step-by-step explanation:

vlada-n [284]3 years ago
3 0

Answer:

91.44 (or 91.4375)

Step-by-step explanation:

The formula for finding the area of the triangle is bxh/2

19 1/4 = 19.25, 9 1/2 = 9.5

So, 19.25(b)x9.5(h)=182.875

182.875/2= 91.4375

Round the answer: 91.44

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A student working on a summer internship in the economic research department of a large corporation studied the relation between
OverLord2011 [107]

Answer:

Step-by-step explanation:

Hello!

Y: sales of a product in a marketing district (million dollars)

X: population in a marketing district (million persons)

The objective is to test if there is a linear association between the sales of a product and the population of a marketing district.

Parameter; Estimated Value; 95 Percent Confidence limits

Intercept          7.43119                -1.18518        16.0476

Slope             0.755048            0.452886       1.05721

a.

To test if there is or not an association between these two variables, you have to do a hypothesis test for the slope. If the slope is equal to zero, there is no linear association between the two variables, if the slope is different from zero, then there is a linear association between the variables.

So the student's hypotheses are:

H₀: β = 0

H₁: β ≠ 0

The data the student used to conclude is the 95%CI for the slope [0.452886;1.05721]

To be able to decide over an hypothesis test using a confidence interval there are several conditions to be met, one of them is that the confidence level and the significance level should be complementary, this means that if the interval was constructed using 1 - α= 0.95, then the hypothesis test should be conducted with a significance level of α= 0.05.

Considering that the value of the slope stated in the null hypothesis is not included in the given interval, i.e. zero is not included in the CI, then the decision is to reject the null hypothesis.

Then it can be concluded that there is a linear association between the sales of a product and the population in a marketing district.

b.

Although in the context of the variables of study it makes no sense that the estimate of the intercept takes negative numbers, keep in mind that mathematically if possible and correct. This means that obtaining a negative estimate of the intercept does not represent a calculation error or problem for the regression model. In general, when this occurs, a footnote is made indicating has no biological meaning or sense in context.

After all, what you have done with the estimate is a mathematical assertion of the social variables.

I hope it helps!

3 0
3 years ago
Please help with geometry question
Hunter-Best [27]

Answer:

m∠J = 45° , m∠I = 45° and m∠M = 90°

And the ΔJIM is an isosceles right angled triangle.

Step-by-step explanation:

(a). In ΔJIM,

∠J = 2x + 15,

∠I = 5x - 30, and

∠M = 6x

Now, using angle sum property of a triangle that sum of all the angles in a triangle is 180°

⇒ ∠J + ∠I + ∠M = 180°

⇒ 2x + 15 + 5x - 30 + 6x = 180°

⇒ 13x -15 = 180°

⇒ 13x = 195

⇒ x = 15

Therefore, m∠J = 45° , ∠I = 45° and m ∠M = 90°

(b). Now, ΔJIM is a right angled triangle right angled at M.

Also, ∠J = ∠I = 45°

So, JM = IM ( because in a triangle sides opposite to equal angles are equal)

So, ΔJIM is an isosceles triangle because its two sides are equal.

Hence, ΔJIM is a right angled isosceles triangle right angled at M.

8 0
3 years ago
Use the GCF and distribute property to express the sum as a product 20+60
kenny6666 [7]
20(1+3)

The greatest common factor between the two numbers is 20, because both numbers are divisible by 20. It cannot be any higher because 20 is one of the numbers itself. You divide this out of both numbers and put it outside the function with the use of parenthesis. 
8 0
3 years ago
Examine the system of equations.
MakcuM [25]

Answer:

\boxed{\boxed{\sf x=-3}}

Step-by-step explanation:

\sf y = -3x - 2

\sf y=7

We'll substitute y into the equation:

\sf 7 = -3x - 2

Switch sides:

\sf -3x-2=7

Add 2 to both sides

\sf -3x-2+2=7+2

\sf -3x=9

Divide both sides by -3:

\sf \cfrac{-3x}{-3}=\cfrac{9}{-3}

\sf x=-3

Therefore, the value of x/solution is -3

________________________________________

8 0
3 years ago
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you put $634 into an investment at 6% compounded annually for six years. what will be the balance be at the end of six years?
Norma-Jean [14]

Answer:

The answer would be the following amount $907.92

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3 years ago
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