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3 years ago

What is the common ratio? {250, 50, 10, 2...}

Mathematics

1 answer:

Allisa [31]3 years ago

6 0

Answer:

Step-by-step explanation:

The common ration can be found by dividing the 2nd number from the 1st number:

250 / 50

which equals 5

250 / 50 = 5

you can do this by any number, for example:

50 / 10 =5

10 / 2 = 5

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Michael opened a savings account at an annual interest rate of 5%. At the end of 3 years, the account balance is $4630.50. If Mi

Ipatiy [6.2K]

Answer:

$4026.52

Step-by-step explanation:

Given data

rate= 5%

time= 3years

A=$4630.50

P=?

we know that

A=P(1+rt)

$4630.50=P(1+0.05*3)

$4630.50=P(1+0.15)

$4630.50=P(1.15)

P=4630.50/1.15

P=$4026.52

The intitial amount is $4026.52

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3 years ago

What is the new volume of a right square pyramid with a volume 180in.3 if the lengths of the sides of the base remain fixed but

garik1379 [7]

The volume of a right square pyramid is $V= \frac{1}{3} A_{\text{ basis } }\cdot h$ , where $A_{\text{ basis } }$ is basis area.

If the lengths of the sides of the base remain fixed and height
is multiplied by a factor 10, than new height is $H=10h$ and the volume is

$V^{\ast}=A_{\text{ basis } }\cdot H=\frac{1}{3} A_{\text{ basis } }\cdot 10h=\frac{10}{3} A_{\text{ basis } }\cdot h$

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3 years ago

543,000,000,000,000 in Scientific notation

Zielflug [23.3K]

Answer:

5.43×10^14 or

$5 .43 \times 10^{14}$

Step-by-step explanation:

Scientific notation, the number must always be less than 10, in this case 5.43. The exponent represents how much times I moved the decimal point to the left.

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3 years ago

HEEELLLLPPPPP PLEAAAASE ANSWER QUICK REAL ASSIGNMENT NO FAKE ANSWERS

miv72 [106K]

$- {90u}^{2} \times (2u - 5)$

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3 years ago

Either use technology to find the P-value or use

Akimi4 [234]

Answer:

The first step is calculate the degrees of freedom, on this case:

$df=n-1=21-1=20$

Since is a one side left tailed test the p value would be:

$p_v =P(t_{(20)}$

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Step-by-step explanation:

Data given and notation

$\bar X$ represent the mean

$s$ represent the sample standard deviation

$n=21$ sample size

$\mu_o =140$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t=-0.024 would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean for the widths of tornadoes is lower than 140 yd, the system of hypothesis would be:

Null hypothesis: $\mu \geq 140$

Alternative hypothesis: $\mu < 140$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

The statistic is given by: $t = -0.024$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=21-1=20$

Since is a one side left tailed test the p value would be:

$p_v =P(t_{(20)}$

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Based on the p value obtained we can conclude that we FAIL to reject the null hypothesis at any significance level selected $\alpah=0.01,0.05,0.1$

7 0

4 years ago