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3 years ago

How well do you know your fractions? if maria has a cake with 8 slices and she eats 3 slices, what fraction of the cake is left?

Mathematics

2 answers:

sineoko [7]3 years ago

8 0

The answer is only 5/8 slices of cake is left. Hoped this helped!

Sliva [168]3 years ago

5 0

When an object is divided into a number of equal parts then each part is called a fraction. A proper fraction has numerator and denominator mutually prime.

The amount of cake maria has is $8X$ . $X$ is some positive real number.

She eats 3 slices, then the amount of cake left with Maria is $8X-3X=5X$ .

The fraction of cake left with Maria is $\frac{5X}{8X}= \frac{5}{8}$ .

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PLEASE HELP PLEASE PLEASE

Alecsey [184]

<h2>Coordinate Pairs</h2>

Coordinate pairs are organized like (x,y).

x tells us the location of the point in relation to the x-axis, the axis that is horizontal.
y tells us the location of the point in relation to the y-axis, the axis that is vertical.

To determine a coordinate pair, we can determine each coordinate individually, then put them together.

<h2>Solving the Question</h2>

Notice how the red point sits on the very edge of the graph.

When we look at the x-axis, we can see that it occurs at the number 0 on the x-axis. In other words, the red point occurs when x=0.

When we look at the y-axis, we can see that it lines up with the number 2. In other words, the red point occurs when y=2.

Therefore, when we put the two coordinates together like (x,y), we get (0,2).

<h2>Answer</h2>

(0,2)

4 0

2 years ago

seven less than the product of twice a number is greater than 5 more the same number which integer satisfies this inequality

JulsSmile [24]

To answer this question, we would have to use algebra.

Let the unknown number be A.

Now, as per the question, we have the equation ->
2A - 7 > 5 + A
==> 2A - A > 5+7
==> A > 12

So, the final answer is --> A > 12

4 0

3 years ago

Read 2 more answers

Sara owns a paint shop that makes custom paints. To make one gallon of a specialty color, she needs 4 royal blue units that each

jekas [21]

I think the answer is 1.97 hope it helps you

6 0

3 years ago

Write the next three terms of the arithmetic sequence.<br> First term: 2<br> Common difference: 13

IRINA_888 [86]

15, 28, 41.

add the common difference to each consecutive term to find the next term in the sequence.

2+ 13= 15
15+ 13= 28
28+ 13= 41

4 0

3 years ago

The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, al

Valentin [98]

Answer:

a) $p_v =P(t_{(9)}$

The p value is higher than the significance level given 0.01, so then we can conclude that we FAIL to reject the null hypothesis. And we can say that the true difference for Best Actresses is not significantly lower than the mean for Best Actors at 1% of significance.

b) The 99% confidence interval would be given by (-21.469;2.069)

c) We got the same conclusion as part a, sicne the confidence interval contains the value 0, we FAIL to reject the null hypothesis that the difference between the two

Step-by-step explanation:

Part a

Let put some notation

x=actor's age , y = actress's age

x: 58 41 36 36 34 33 48 37 37 43

y: 26 27 34 26 35 29 23 42 30 34

The system of hypothesis for this case are:

Null hypothesis: $\mu_y- \mu_x \geq 0$

Alternative hypothesis: $\mu_y -\mu_x$

The first step is calculate the difference $d_i=y_i-x_i$ and we obtain this:

d: -32, -14, -2, -10, 1, -4, -25, 5, -7, -9

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= -9.7$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =11.451$

The 4 step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-9.7 -0}{\frac{11.451}{\sqrt{10}}}=-2.679$

The next step is calculate the degrees of freedom given by:

$df=n-1=10-1=9$

Now we can calculate the p value, since we have a left tailed test the p value is given by:

$p_v =P(t_{(9)}$

Part b

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".

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

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

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,9)".And we see that $t_{\alpha/2}=3.25$

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

$-9.7-3.25\frac{11.451}{\sqrt{10}}=-21.469$

$-9.7+3.25\frac{11.451}{\sqrt{10}}=2.069$

So on this case the 99% confidence interval would be given by (-21.469;2.069)

Part c

We got the same conclusion as part a, sicne the confidence interval contains the value 0, we FAIL to reject the null hypothesis that the difference between the two means is 0.

8 0

3 years ago