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rusak2 [61]
3 years ago
7

Which sequence is modeled by the graph below?

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0
First, we inspect what type of sequence is the order of the coordinates:
a2 = 1
a3 = 2
a4 = 4

Getting the difference,
a3 - a2 = 1
a4 - a3 = 2

The differences are not equal; hence, the sequence is not arithmetic.

Getting the ratio:
a3/a2 = 2
a4/a3 = 2

The common ratio is 2. Using the general form for a geometric series:
an = a1 r^(n-1)
If n = 2
1 = a1 (2)^(2-1)
a1 = 1/2

So,
an = (1/2) (2)^(n-1)

The answer is the first option.
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I need some help please
Galina-37 [17]

Answer:

  1. Hexagon
  2. Heptagon

Step-by-step explanation:

The first shape has 6 sides. Hence, it is called a hexagon.

The second shape has 7 sides. Hence, it is called a heptagon.

8 0
1 year ago
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Big babies: The National Health Statistics Reports described a study in which a sample of 354 one-year-old baby boys were weighe
Vedmedyk [2.9K]

Answer:

Yes. The data provide enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.

P-value=P(t>2.84)=0.0024

Step-by-step explanation:

Hypothesis test on the population mean.

The claim is that the mean weight of one-year-old boys is greater than 25 pounds.

Then, the null and alternative hypothesis are:

H_0: \mu=25\\\\H_a:\mu>25

The significance level is α=0.05.

The sample size is n=354. The sample mean is 25.8 pounds and the sample standard deviation is 5.3 pounds. As the population standard deviation is estimated from the sample standard deviation, we will use a t-statistic.

The degrees of freedom are:

df=n-1=354-1=353

The t-statistic is:

t=\dfrac{\bar x-\mu}{s/\sqrt{n}}=\dfrac{25.8-25}{5.3/\sqrt{354}}=\dfrac{0.8}{0.2817}=2.84

For a right tailed test and 353 degrees of freedom, the P-value is:

P-value=P(t>2.84)=0.0024

As the P-value is smaller than the significance level, the effect is significant and the null hypothesis is rejected.

There is enough evidence to support the claim that the mean weight of one-year-old boys is greater than 25 pounds.

7 0
2 years ago
A truck can be rented from Company A form ​$130 a day plus $0.30 per mile. Company B charges ​$50 a day plus $0.80 per mile to r
navik [9.2K]

Answer:

160 miles

Step-by-step explanation:

Company A form ​$130 a day plus $0.30 per mile

Company A = 130 + 0.30x

Company B charges ​$50 a day plus $0.80 per mile

Company B = 50 + 0.80x

Where,

x = number of miles

Equate the cost of company A and company B

130 + 0.30x = 50 + 0.80x

Collect like terms

130 - 50 = 0.80x - 0.30x

80 = 0.50x

Divide both sides by 0.50x

x = 80 / 0.50

= 160

x = 160 miles

The number of miles in a day at which the rental costs for Company A and Company B are the same is 160 miles

4 0
2 years ago
Estimate the perimeter and the area of the shaded figure to the nearest tenth.<br> -Please help me-
Crank

Answer:

Perimeter = 12+4pi

Area = 16+8pi

Step-by-step explanation:

Description of the assumed shape:

A rectangle 2 x 8 superimposed on a semi-circle of radius 4.

Perimeter:

P = 2+8+2+(4)(pi) = 12+4pi

Area :

A = 2*8 +(pi)4^2/2 = 16 + 8pi

3 0
3 years ago
Right triangles are similar. Always Sometimes Never
zavuch27 [327]

Answer:

Always

Step-by-step explanation:

Right triangles are always similar.

All right triangles have a 90 degree angle.

This means that, they would all look visually similar because of the 90 degree angle.

4 0
3 years ago
Read 2 more answers
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