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liraira [26]
3 years ago
11

Athletes in a particular sport are classified as either offense or defense. The distribution of weights for the athletes classif

ied as offense is approximately normal, centered at 200 pounds, and ranges from 150 pounds to 250 pounds. The distribution of weights for the athletes classified as defense is approximately normal, centered at 300 pounds, and ranges from 250 pounds to 350 pounds. There are 1,000 athletes in each classification. Which of the following is the best description of a histogram of the weights of all 2,000 athletes?
A. Skewed to the right (positively skewed).
B. Skewed to the left (negatively skewed).
C. Approximately uniform and centered at 250 pounds.
D. Approximately normal and centered at 250 pounds.
E. Bimodal.
Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0

Answer:

E. Bimodal.

Step-by-step explanation:

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A=7,900×(1+0.043÷4)^(4×3)
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5 0
3 years ago
Find the value of x 3x+6 41 6x-5 4x+7 62 7x-11
padilas [110]

Answer:

13

Step-by-step explanation:

Simplifying

3x + 6 + 7x + -11 + 41 + 62 + 6x + -5 + 4x + 7 = 360

Reorder the terms:

6 + -11 + 41 + 62 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 6 + -11 = -5

-5 + 41 + 62 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: -5 + 41 = 36

36 + 62 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 36 + 62 = 98

98 + -5 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 98 + -5 = 93

93 + 7 + 3x + 7x + 6x + 4x = 360

Combine like terms: 93 + 7 = 100

100 + 3x + 7x + 6x + 4x = 360

Combine like terms: 3x + 7x = 10x

100 + 10x + 6x + 4x = 360

Combine like terms: 10x + 6x = 16x

100 + 16x + 4x = 360

Combine like terms: 16x + 4x = 20x

100 + 20x = 360

Solving

100 + 20x = 360

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-100' to each side of the equation.

100 + -100 + 20x = 360 + -100

Combine like terms: 100 + -100 = 0

0 + 20x = 360 + -100

20x = 360 + -100

Combine like terms: 360 + -100 = 260

20x = 260

Divide each side by '20'.

x = 13

Simplifying

x = 13

4 0
3 years ago
Match the following. 1 . isosceles trapezoid a trapezoid that has two congruent sides (other than the bases) 2 . triangle a quad
Ganezh [65]

Answer:

1. isosceles trapezoid- a trapezoid that has two congruent sides (other than the bases)

2. triangle- a polygon with three sides

3. line symmetry- property where a figure can be folded along a line to create two congruent mirror images

4. line of symmetry- the line which divides a figure into two congruent mirror images

5. rotational symmetry- property where a figure can be rotated less than 360° and still look the same

6. trapezoid- a quadrilateral with one pair of parallel sides

7 0
3 years ago
Need help with 16-20
Marta_Voda [28]

16. 7

17. 250

18. 19.5

19. 45.09

20. 11.8

6 0
3 years ago
In triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). F
Sophie [7]

Answer:

The length of DE is 14 cm.

Step-by-step explanation:

Given in triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). we have to find the length of DE.

Given lengths are AC=20cm, AB=17cm, and BD=11.9cm

In ΔBDE and ΔBAC

∠BDE=∠BAC       (∵Corresponding angles)

∠BED=∠BCA       (∵Corresponding angles)

By AA similarity rule, ΔBDE~ΔBAC

∴their corresponding sides are in proportion

⇒ \frac{BE}{BC}=\frac{BD}{BA}=\frac{DE}{AC}

⇒ \frac{BD}{BA}=\frac{DE}{AC}

⇒ \frac{11.9}{17}=\frac{DE}{20}

⇒ DE=\frac{20\times 11.9}{17}=14cm

5 0
3 years ago
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