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2 years ago

Need help ASAP!!! Tysm if you answer!! IF YOU ANSWER RIGHT AND GET BRAINLIEST!!

Mathematics

1 answer:

Delvig [45]2 years ago

8 0

Answer:

$a_n = 3 ({5})^{n - 1}$

Step-by-step explanation:

The given sequence is 3,15,75,375,...

The first term of this geometric sequence is

$a_1=3$

The common ratio is

$r = \frac{15}{3} = 5$

The explicit formula is given by:

$a_n = a_1 {r}^{n - 1}$

We plug the first term and common ratio into the formula to get:

$a_n = 3 ({5})^{n - 1}$

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Which equation represents the data shown in the table below

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Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd =

swat32

Answer:

Test statistic, $t_{s} = -0.603$ (to 3 dp)

Step-by-step explanation:

Deviation, d = x -y

Sample mean for the deviation

$\bar{d} = \frac{\sum x-y}{n}$

$\bar{d} = \frac{(28-6) + (31-27)+(20-26)+(25-25)+(28-29)+(27-32)+(33-33)+(35-34)}{8} \\\bar{d} = -0.625$

Standard deviation: $SD = \sqrt{\frac{\sum d^{2} - n \bar{d}^2}{n-1} }$

$\sum d^{2} = (28-26)^2 + (31-27)^2 +(20-26)^2 +(25-25)^2 +(28-29)^2 +(27-32)^2 +(33-33)^2 +(35-34)^2\\\sum d^{2} = 63$

$SD = \sqrt{\frac{63 - 8 * (-0.625)^2}{8-1} }$

SD =2.93

Under the null hypothesis, the formula for the test statistics will be given by:

$t_{s} = \frac{ \bar{d}}{s_{d}/\sqrt{n} } \\t_{s} = \frac{- 0.625}{2.93/\sqrt{8} }$

$t_{s} = -0.6033$

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2 years ago

What are the solutions of the equation 4x2 + 3x = 24 – x?

goldenfox [79]

Answer:

x=2 or x=-3

Step-by-step

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Step-by-step explanation:

Lets find the values:

Gained 2.2 kg = 2.2

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2 years ago

Nathan bought a cd for his friend. The length and width of the cd case is 4 18⁄25 inches. What is the area of the cd case?

ale4655 [162]

Answer:

Hence the area of CD bought by Nathan is 22.2784 square inches.

Step-by-step explanation:

The length and width of a CD bought by Nathan is $4\frac{18}{25}=\dfrac{118}{25}$ inches.

As CD have the same length and width this means it will be of the shape of a square.

Hence, the area of CD is given by:

Area of CD=length×width

= $4\dfrac{18}{25}\times4\dfrac{18}{25}$

= $\dfrac{118}{25}\times\dfrac{118}{25}$

= $\dfrac{118\times118}{25\times25}$

= $\dfrac{13924}{625}$

= $22.2784$

Hence the area of CD bought by Nathan is 22.2784 square inches.

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3 years ago