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4 years ago

Find x when y=-2 if x=16 when y=8

1 answer:

4 0

Well make them a fraction : -2/16 = 8/x. Find the value of x.

−2/16=8/x
−2*x=(8)*(16)
−2x=128
−2x/−2=128/−2
x=−64

-2/16 = 8/-64 (True)

Hoped I helped!

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18-(∛27)^3 Find The cube root

pickupchik [31]

The cube root is - 9

7 0

2 years ago

A new post-surgical treatment is being compared with a standard treatment. Seven subjects receive the new treatment, while seven

a_sh-v [17]

Answer:

$(17.714-28.714) -2.681 \sqrt{\frac{4.461^2}{7} +\frac{7.387^2}{7}}= -19.745$

$(17.714-28.714) +2.681 \sqrt{\frac{4.461^2}{7} +\frac{7.387^2}{7}}= -2.255$

Step-by-step explanation:

For this case we have the following info given:

Treatment: 12 13 15 19 20 21 24

Control: 18 23 24 30 32 35 39

We can find the sample mean and deviations with the the following formulas:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s =\sqrt{\frac{\sum_{i=1}^n (X_i- \bar X)^2}{n-1}}$

And repaplacing we got:

$\bar X_T = 17.714$ the sample mean for treatment

$\bar X_C = 28.714$ the sample mean for treatment

$s_T= 4.461$ the sample deviation for treatment

$s_C= 7.387$ the sample deviation for control

$n_T= n_C= 7$ the sample size for each sample

The degrees of freedom are given by:

$df= 7+7-2= 12$

The confidence interval for the difference of means is given by:

$(\bar X_T -\bar X_C) \pm t_{\alpha/2} \sqrt{\frac{s^2_T}{n_T} +\frac{s^2_C}{n_C}}$

The confidence is 98% so then the significance is $\alpha=0.02$ and $\alpha/2 =0.01$ . Then the critical value would be:

$t_{\alpha/2}=2.681$

And replacing we got:

$(17.714-28.714) -2.681 \sqrt{\frac{4.461^2}{7} +\frac{7.387^2}{7}}= -19.745$

$(17.714-28.714) +2.681 \sqrt{\frac{4.461^2}{7} +\frac{7.387^2}{7}}= -2.255$

4 0

4 years ago

if my grade in math is a 51.32% and I get at least a 70% on my test. What percentage will my grade go up too? ( test are worth 4

bazaltina [42]

Keeping in mind that 70% of anything is 70/100 * anything, thus

$\bf \begin{array}{ccll}
\stackrel{percentage}{points}&\stackrel{test}{completed}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
45&1\\\\
x&\frac{70}{100}
\end{array}\implies \cfrac{45}{x}=\cfrac{1}{\frac{70}{100}}\implies \cfrac{45}{x}=\cfrac{\frac{1}{1}}{\frac{7}{10}}
\\\\\\
\cfrac{45}{x}=\cfrac{1}{1}\cdot \cfrac{10}{7}\implies \cfrac{45}{x}=\cfrac{10}{7}\implies \cfrac{45}{x}=\cfrac{10}{7}\implies \cfrac{45\cdot 7}{10}=x
\\\\\\
\cfrac{63}{2}=x\implies \boxed{31.5=x}$

so, you get that many percentage points, now... add that to 51.32.

7 0

3 years ago

An angle measures 73.6° more than the measure of its complementary angle. What is the measure of each angle?

8_murik_8 [283]

Answer:

Let ABC = 73.6

Complement = ABD = 16.4

ABx = unknown angle

ABx + (ABx + 73.6) = 90

ABx = 16.4 / 2 = 8.2

The angles are 8.2 and (8.2 + 73.6) = 90

5 0

3 years ago

The function f is defined by f(x)=x^2+7. Find f(2x)

Rzqust [24]

Answer:

Pls make the question a bit more clear

6 0

3 years ago