Purple Red, Purple Yellow, Purple <span>Orange
</span>Green Red, Green Yellow, Green Orange
I cant tell exactly from the formatting of the typing but the sample space would contain the above values. purple card with each spin possibility and green card with each spin possibility. 6 total possible outcomes.
Answer:
The blank would be 64 and the answer would be 16
Step-by-step explanation:
Because we are looking for 25% of something, we simply multiply .25 by whatever that number is. So we start with
.25 * ________
And then we put the number in
.25 * 64 = 16
The mathematical word describing both
and
in the expression
is "<u><em>addition</em></u>"
<h3>How to form mathematical expression from the given description?</h3>
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given case, the terms were
and
and the expression formed from them is ![27x+6x](https://tex.z-dn.net/?f=27x%2B6x)
This means both the terms were added together, as denoted by '+' (called 'plus') sign.
When two terms are written with 'plus' sign in between, then that means they're added to each other and the result will be addition of both of their's values.
Thus, the mathematical word describing both
and
in the expression
is <u><em>addition</em></u>"
Learn more about addition here:
brainly.com/question/14148883
Answer:
Yes. The male and female consumers differ in the amounts they spend.
Step-by-step explanation:
We can express the null and alternative hypothesis as:
![H_0: \mu_m=\mu_w\\\\H_1: \mu_m\neq\mu_w](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu_m%3D%5Cmu_w%5C%5C%5C%5CH_1%3A%20%20%5Cmu_m%5Cneq%5Cmu_w)
It is assumed a significance level of 0.05.
The standard deviation of the difference of means is calculated as:
![s=\sqrt{\frac{s_m^2}{n_m} +\frac{s_w^2}{n_w} } =\sqrt{\frac{35^2}{40} +\frac{20^2}{30} } =\sqrt{30.625+13.333} =\sqrt{43.958} =6.63](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cfrac%7Bs_m%5E2%7D%7Bn_m%7D%20%2B%5Cfrac%7Bs_w%5E2%7D%7Bn_w%7D%20%7D%20%3D%5Csqrt%7B%5Cfrac%7B35%5E2%7D%7B40%7D%20%2B%5Cfrac%7B20%5E2%7D%7B30%7D%20%7D%20%3D%5Csqrt%7B30.625%2B13.333%7D%20%3D%5Csqrt%7B43.958%7D%20%3D6.63)
The test statistic is
![t=\frac{(M_m-M_w)-0}{s}=\frac{135.67-68.64}{6.63}=10.11](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%28M_m-M_w%29-0%7D%7Bs%7D%3D%5Cfrac%7B135.67-68.64%7D%7B6.63%7D%3D10.11)
The degrees of freedom are:
![df=n_1+n_2-2=40+30-2=68](https://tex.z-dn.net/?f=df%3Dn_1%2Bn_2-2%3D40%2B30-2%3D68)
The P-value for t=10.11 is P=0, so it is smaller than the significance level. The null hypothesis is rejected.
We can conclude that male and female consumers differ in the amounts they spend.