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erica [24]
3 years ago
10

The ratio of triangle abc to the corresponding side of similar triangle def is 3:5. the perimeter of triangle def is 48in. what

is the perimeter of triangle abc
Mathematics
1 answer:
Vlad1618 [11]3 years ago
7 0
ABC : DEF
3: 5
3 x 9.6 : 5 x 9.6
28.8 : 48
Perimeter of triangle ABC = 28.8 inch
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A college job placement office collected data about students’ GPAs and the salaries they earned in their first jobs after gradua
frez [133]

Answer:

X is the GPA

Y is the Salary

Standard deviation of X is 0.4

Standard deviation of Y is 8500

E(X)=2.9

E(Y)=47200

We are given that The correlation between the two variables was r = 0.72

a)y = a+bx

b = \frac{\sum(x_i-\bar{x})(y_i-\bar{y})}{\sum(x_i-\bar{x})^2} = \frac{r \times \sqrt{var(X) \times Var(Y)}}{Var(X)} =  \frac{0.72 \times \sqrt{0.4^2 \times 8500^2}}{0.4^2} = 15300

a=y-bx = 47200-(15300 \times 29) = 2830

So, slope =  15300

Intercept =  2830

So, equation : y = 2830+15300x

b) Your brother just graduated from that college with a GPA of 3.30. He tells you that based on this model the residual for his pay is -$1880. What salary is he earning?

y = 2830+15300 \times 3.3 = 53320

Observed salary = Residual + predicted = -1860+53320 = 51440

c)) What proportion of the variation in salaries is explained by variation in GPA?

The proportion of the variation in salaries is explained by variation in GPA = r^2 = (0.72)^2 =0.5184

8 0
3 years ago
Triangle FGH is similar to triangle IJK. Find the measure of side KI. Round your
erastovalidia [21]

Answer:

5.8

Step-by-step explanation:

Similar shapes also maintain a constant proportion of sides. Therefore, we can set up the following equation:

\frac{31}{43}=\frac{\text{KI}}{8}

Solving, we get:

\text{KI}=\frac{8\cdot 31}{43}\approx \boxed{5.8}

5 0
3 years ago
Add using the number line. ​ −0.5 + (−1.7) ​
Rudik [331]

Answer:

- 0.5 - 1.7 = - 2.2

Step-by-step explanation:

We need to add two numbers using the number line.

Steps to Add Numbers on the Number Line:

When we add a negative numbers that we move the point to the left of the number line.

We are adding two negative numbers. Locate the first number which is -0.5. Then, add negative 1.7 to it which means moving the existing point 1.7 units to the left of the number line.

So, we get 2.2 on the left.

2.2 is left side it means sign is negative.

Final answer is -2.2

3 0
3 years ago
Linda plans to put in wall-to-wall carpet in her bedroom. She measures the dimensions of her bedroom and skectches up the floor
Sunny_sXe [5.5K]

The image of the floor dimensions is missing, so i have attached it.

Answer:

$88.92

Step-by-step explanation:

Looking at the attached floor plan, we have to divide it into two parts to solve easily.

To get the smaller side of the bigger triangle; 3 - 0.6 = 2.4m

Thus,bigger triangle measures; 3.6m x 2.4m

For the smaller triangle, dimensions are; 0.6m x 1.2m

Area of bigger triangle = 3.6 × 2.4 = 8.64 m²

Area of smaller triangle = 0.6 × 1.2 = 0.72 m²

Total area = 8.64 + 0.72 = 9.36 m²

Since the carpet costs $9.50 per sq.m.

Thus;

Total spent for wall to wall carpet is = 9.36 × 9.5 = $88.92

8 0
3 years ago
Need help on this question too hard :((​
andrew-mc [135]

Answer:

2/3

Step-by-step explanation:

Convert the fractions to decimals.

2/3 = 0.666

4/5 = 0.8

14/18 = 0.777

34/50 = 0.68

From the decimals, 0.666 is the only option which falls between 0.5 and 0.75.

5 0
3 years ago
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