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3 years ago

Help with the pic down below

Mathematics

2 answers:

dedylja [7]3 years ago

8 0

HIA there! the answer is C 108 1/3 cm3

hope this helped
Gl with studying ^-^

yulyashka [42]3 years ago

5 0

You multiply it to find the answer

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What's the converse of the statement "if it is snowing, then it is my birthday"

Drupady [299]

The converse would be "If it is my birthday, then it is snowing."

5 0

3 years ago

Maddie biked 8 3/4 miles today, and Chase bikes 3 1/2 miles. How many times the length of Chase’s bike ride was Maddie’s bike ri

borishaifa [10]

Answer: 2.5 times

Step-by-step explanation:

Given : The length of Chase’s bike ride= $8\dfrac{3}{4}\ miles$

The length of Maddie’s bike ride= $3\dfrac{1}{2}\ miles$

In improper fraction : Length of Chase’s bike ride= $\dfrac{4(8)+3}{4}\ miles$

$=\dfrac{35}{4}\ miles$

Similarly , Length of Maddie’s bike ride= $\dfrac{7}{2}\ miles$

The number of times the length of Chase’s bike ride was Maddie’s bike ride= $\dfrac{\text{ Length of Chase’s bike ride}}{\text{ Length of Maddie’s bike ride}}$

$=\dfrac{\dfrac{35}{4}}{\dfrac{7}{2}}\\\\=\dfrac{5}{2}=2.5$

Hence, the length of Chase’s bike ride was 2.5 times Maddie’s bike ride.

8 0

3 years ago

??????????????????????????

Umnica [9.8K]

Solution:

Simple Interest = Principal Amount × Rate of Interest/100 × Time

Here, Principal Amount = $6000

Rate of Interest = 6%

Time = 4 years

Simple Interest = 6000 × 6/100 × 4 = $1440

3 0

3 years ago

If sin(theta) =4/5 and is in quadrant 2, the value of cot(theta

iren [92.7K]

$\sin\theta= \frac{4}{5} 
\\
\\\sin^2\theta+\cos^2\theta=1
\\ \cos\theta=\pm \sqrt{1-\sin^2\theta} =\pm \sqrt{1-( \frac{4}{5})^2 } =\pm \sqrt{1- \frac{16}{25} } =\pm \sqrt{\frac{9}{25} }=\pm \frac{3}{5}}$

$\theta \in II \Rightarrow \cos\theta\ \textless \ 0 \Rightarrow \cos\theta=-\frac{3}{5}$

$\cot\theta= \frac{\cos\theta}{\sin\theta}= \frac{-\frac{3}{5}}{\frac{4}{5}} =- \frac{3}{4}$

5 0

3 years ago

The speeds of vehicles traveling on a highway are normally distributed with an unkown population mean and standard deviation. A

Maksim231197 [3]

Answer:

The 90% confidence interval would be given by (60.09;69.91)

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X =65$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=9 represent the sample standard deviation

n=11 represent the sample size

2) Confidence interval

The confidence interval for the mean is given by the following formula:

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=11-1=10$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,10)".And we see that $t_{\alpha/2}=1.81$

Now we have everything in order to replace into formula (1):

$65-1.81\frac{9}{\sqrt{11}}=60.09$

$65+1.81\frac{9}{\sqrt{11}}=69.91$

So on this case the 90% confidence interval would be given by (60.09;69.91)

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

3 0

3 years ago