The given point (6, 8) is reflected over the x-axis.

One canned juice drink is 15% orange juice another is 10% orange juice how many liters of each should be mixed together in order

vfiekz [6]

$\bf \begin{array}{lccclll}
&quantity(L)&concentration&
\begin{array}{llll}
concentrated\\
quantity
\end{array}\\
&-----&-------&-------\\
\textit{15\% juice}&x&0.15&0.15x\\
\textit{10\% juice}&y&0.10&0.10y\\
-----&-----&-----&-----\\
mixture&5&0.14&(5)(0.14)
\end{array}$

whatever the amounts of "x" and "y" are, they must add up to 5Liters
thus x + y = 5

and whatever the concentrated quantity is in each, they must add up to (5)(0.14)

notice, that we use the decimal notation for the amount of juice concentration, that is, 15% is just 15/100 or 0.15, and 14% is just 14/100 or 0.14 and so on, recall that "whatever% of something" is just (whatever/100)*something

thus $\bf \begin{cases}
x+y=5\implies \boxed{y}=5-x\\\\
0.15x+0.10y=(5)(0.14)\\
----------\\
0.15x+0.10\left(\boxed{5-x} \right)=(5)(0.14)
\end{cases}$

solve for "x", to see how much of the 15% juice will be needed

what about "y"? well, y = 5 - x

7 0

2 years ago

A person walks 2 3 of a mile in 2 9 of a hour. Which complex fraction when simplified will compute the unit rate of miles per ho

GaryK [48]

2/3 / 2/9
= 2/3 * 9/2
=18/6
=3

rate = 3 miles per hour

3 0

2 years ago

Read 2 more answers

A mapping statement is a way of describing a _____ of a figure.

Pepsi [2]

A mapping system is a way of describing a C. Preimage of a figure. Mapping statements are known to define the range of data sources thus showing all the data. While on the other hand, preimage (in Mathematics) meaning is that set of all the elements of the domain that maps to the members of S.

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=If%20w%3D2x%2C%20then%20%5Cint%5Climits%5E2_0%20%7Bf%282x%29%7D%20%5C%2C%20dx%20%3D" id="TexFo

elena-14-01-66 [18.8K]

First, you should solve for $f(2x)$ , which equals $2*(2x)=4x$ . Now, solve the integral of $f(2x)$ = $2*(2x)=4x$ , to get that $\int\ {(f(2x)=4x)} \, dx= 2x^2$ . You can check this by taking the integral of what you got. Now by the Fundamental Theorem $\int\limits^2_0 {4x} \, dx=[2x^2] ^{2}_{0}=2(2)^{2}-2(0)^2=8$ .

This should be the answer to your question, if I understood what you were asking correctly.

8 0

2 years ago

When we test Upper H 0: muequals0 against Upper H Subscript a: mugreater than0, we get a P-value of 0.03. a. What would the

Anastasy [175]

Answer:

(a) The null hypothesis will be rejected.

(b) Type I error

(c) The null hypothesis will not be rejected. The error is type II error.

Step-by-step explanation:

The hypothesis provided is:

$H_{0}: \mu = 0\\ H_{a} : \mu > 0$

The p-value of the test obtained is 0.03

(a)

Decision rule for hypothesis testing, based on p-value, states that if the p-value is less than the significance level (α) then the null hypothesis is rejected and vice versa.

The significance level is α = 0.10

Then,

$p-value = 0.03 < \alpha = 0.10$

Thus, the null hypothesis will be rejected.

Conclusion:

The null hypothesis is rejected stating that the value of μ is more than 0.

(b)

If the decision in (a) is an error, i.e. the null hypothesis is rejected when in fact it is true, this type of error is known as type I error.

(c)

The significance level is α = 0.01

Then,

$p-value = 0.03 > \alpha = 0.01$

Thus, the null hypothesis will not be rejected.

Conclusion:

The null hypothesis was not rejected stating that the value of μ is 0.

If this decision is an error, i.e. the null hypothesis was not rejected when in fact it is false, this type of error is known as type II error.

3 0

2 years ago