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Darya [45]
4 years ago
8

Suppose the y-intercept of an exponential function is positive and the common ratio (r) is greater than 1. For this graph, as x

increases, y will
Answer choices:
Increase
Decrease
Approach 0
Mathematics
1 answer:
Anna11 [10]4 years ago
4 0

Answer:

Increase (A)

Step-by-step explanation:

If the common ratio is greater than 1, that means the y-value increases as the x-value increases.

If the common ratio is 1, that means the y-value stays the same as the x-value increases.

If the common ratio is between 0 and 1, that means the y-value decreases and approaches 0 ad the x-value increases.

Because the common ratio is greater than 1, the answer is A, increases

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The weight of an organ in adult males has a​ bell-shaped distribution with a mean of 350 grams and a standard deviation of 45 gr
Svetach [21]

Answer:

a) About 68% of the data would be between 305 grams to 395 grams

b) About 95% of organs weighs between 260 grams and 440 ​grams

c)About 5% of organs weighs less than 260 grams or more than 440 ​grams

d) About 97% of organs weighs between 215 grams and 440 ​grams

Step-by-step explanation:

The empirical rule formula:

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

​(a) About 68​% of organs will be between what​ weights?

We would be applying the First rule of the Empirical formula to this.

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

Mean = 350 grams

Standard deviation = 45 grams

Hence,

350 grams - 45 grams

= 305 grams

350grams + 45grams

= 395 grams

Therefore about 68% of the data would be between 305 grams to 395 grams

​(b) What percentage of organs weighs between 260 grams and 440 ​grams?

Let try the second rule

2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Mean = 350 grams

Standard deviation = 45 grams

μ - 2σ

= 350 - 2(45)

= 350 - 90

= 260

μ + 2σ

= 350 + 2(45)

= 350 + 90

= 440

Therefore, about 95% of organs weighs between 260 grams and 440 ​grams

​(c) What percentage of organs weighs less than 260 grams or more than 440 ​grams? ​

Let try the second rule

2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Mean = 350 grams

Standard deviation = 45 grams

μ + 2σ

= 350 - 2(45)

= 350 - 90

= 260

μ + 2σ

= 350 + 2(45)

= 350 + 90

= 440

Since, about 95% of organs weighs between 260 grams and 440 ​grams, the percentage of organs weighs less than 260 grams or more than 440 ​grams is calculated as:

100% - 95%

= 5%

Therefore, percentage of organs weighs less than 260 grams or more than 440 ​grams is 5%

(d) What percentage of organs weighs between 215 grams and 440 ​grams?

For 215 grams, we apply the 3rd rule to confirm

= 3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

Mean = 350 grams

Standard deviation = 45 grams

μ - 3σ

= 350 - 3(45)

= 350 - 135

= 215.

Hence, 99% of the organs weigh 215 grams

For 440, from the solve questions above, we know the second rule applies.

Hence,

2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Mean = 350 grams

Standard deviation = 45 grams

μ + 2σ

= 350 + 2(45)

= 350 + 90

= 440

Hence,

99% + 95%/ 2

= 194% / 2

= 97%

Therefore, about 97% of organs weighs between 215 grams and 440 ​grams

4 0
4 years ago
You should know the __________ and ___________ of all safety equipment.<br> PLS HELP ME!!!!
dezoksy [38]
You should know the instructions and rules of all safety equipment
8 0
3 years ago
What is the area of the sector for the following circle? Round your answer to 4 decimal places. *
Dominik [7]

Answer:

13.0833 ft²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 5 ft

Angle sustained by the sector (θ) = 360 – 300

= 60°

Pi (π) = 3.14

Area of sector (A) =?

The area of the sector can be obtained as follow:

A = θ/360 × πr²

A = 60/360 × 3.14 × 5²

A = 1/6 × 3.14 × 25

A = 1/6 × 78.5

A = 78.5/6

A = 13.0833 ft²

Thus, the area of the sector is 13.0833 ft²

4 0
3 years ago
Read 2 more answers
State whether the y-values are increasing ,decreasing,or neither as x increases for problem y=1.5x
mash [69]
The y-values are increasing, as x increases in this problem.
6 0
3 years ago
8.7 less than -3 times a number is the same as 22 1/5
Varvara68 [4.7K]

Answer:

n=10.3

3n-30.9=0

Explanation:

the number would be 10.3

8 0
3 years ago
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