Decrease £15890.23 by 16.5%<br> Give your answer rounded to 2 DP.

The school playground is in the shape of a pentagon. There is a drinking fountain at each of the 5 corners of the playground. Th

PIT_PIT [12445]

The answer is 21 distinct paths.

7 0

2 months ago

Mrs. Allan's car uses 8 gallons of gas for a 224-mile trip. Mrs. Owen's car uses 6 gallons of gas for a 210-mile trip. How many

lawyer [12517]

For a 560-mile journey, Mrs. Allan's car will require 20 gallons of fuel. Meanwhile, Mrs. Owen's vehicle will need 16 gallons for the same distance.

8 0

2 months ago

An experiment was conducted to record the jumping distances of paper frogs made from construction paper. Based on the sample, th

tester [12383]

Answer:

$9.9676 - 2.326*0.5904 =8.594$

$9.9676 + 2.326*0.5904 =11.341$

Step-by-step explanation:

Notation

$\bar X$ is the sample mean

$\mu$ indicates the population mean (the variable of interest)

s signifies the sample standard deviation

n denotes the sample size

Solution to the problem

The mean's confidence interval is derived from the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In this instance, the 9% confidence interval corresponds to:

$8.8104 \leq \mu \leq 11.1248$

We can determine the mean using the following:

$\bar X = \frac{8.8104 +11.1248}{2}= 9.9676$

Additionally, the margin of error can be calculated as:

$ME= \frac{11.1248- 8.8104}{2}= 1.1572$

The margin of error for this situation is expressed as:

$ME = t_{\alpha/2}\frac{s}{\sqrt{n}} = t_{\alpha/2} SE$

Next, we find the standard error:

$SE = \frac{ME}{t_{\alpha/2}}$

The critical value for a 95% confidence interval using a normal standard distribution is roughly 1.96, and substituting gives us:

$SE = \frac{1.1572}{1.96}= 0.5904$

For the 98% confidence interval, the significance corresponds to $\alpha=1-0.98= 0.02$ and $\alpha/2 = 0.01$ with a critical value of 2.326, yielding a confidence interval of:

$9.9676 - 2.326*0.5904 =8.594$

$9.9676 + 2.326*0.5904 =11.341$

8 0

2 months ago

Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of

Svet_ta [12734]

Given the three integers are $a,b,c$ , we arrive at

$\dfrac1a+\dfrac1b+\dfrac1c=1$

We can merge the fractions on the left side:

$\dfrac{bc}{abc}+\dfrac{ac}{abc}+\dfrac{ab}{abc}=\dfrac{bc+ac+ab}{abc}=1$

$\implies abc=bc+ac+ab$

4 0

1 month ago

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Decrease £15890.23 by 16.5% Give your answer rounded to 2 DP.