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2 years ago

Pre-algebra

Mathematics

2 answers:

ElenaW [278]2 years ago

7 0

37 metershgyvyvyvyvvygyvyvygygybygyb

Vladimir79 [104]2 years ago

4 0

Write down the numbers in the chart, write them on a number line, put a point on the number farthest from 0, Closer

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What is the logarithmic form of 11² = 121?

Alona [7]

Logbase11(121)=2. The base of the log to the power of y (outside number) = the number in the parenthesis (x).

7 0

3 years ago

Read 2 more answers

Please help and give the reasons. <br> Given: 4(x - 8) = 2x + 12<br> Prove: x = 22

statuscvo [17]

Answer:

Step-by-step explanation:

Step 2 expansion of bracket

Step 4 grouping of like terms

Step 4 division property

4 0

3 years ago

Write this equation in vertex form.<br> y = x^2 -12x +20

kotegsom [21]

Answer:

$y = (x-6) ^ 2 -16$

Step-by-step explanation:

The vertex form for a quadratic equation has the following form:

$y = (x-h) ^ 2 + k$

Where the vertice of the equation is the point (h, k)

To transform the equation $y = x ^ 2 -12x +20$ in its vertex forms we must find its vertex.

Be a quadratic equation of the form:

$ax ^ 2 + bx + c$

Where a, b and c are real numbers, then the vertex of the equation will be:

$x = - \frac{b}{2a}$

For the given equation:

$b = -12\\a = 1$

Therefore the vertice is:

$x = - \frac{-12}{2(1)}\\\\x = 6$

Now we substitute x = 6 into the equation and find the value of k.

$y = (6) ^ 2 -12 (6) +20\\\\y = -16 = k$

Therefore the vertice is: (6, -16)

And the equation is:

$y = (x-6) ^ 2 -16$

8 0

3 years ago

Read 2 more answers

Two chemists working for a chicken fast-food company, have been producing a very popular sauce. Let’s call then Jesse and Mr. Wh

a_sh-v [17]

Answer:

Check the explanation

Step-by-step explanation:

Let $\overline{x}$ and $\overline{y}$ be sample means of white and Jesse denotes are two random variables.

Given that both samples are having normally distributed.

Assume $\overline{x}$ having with mean $\mu_{1}$ and $\overline{y}$ having mean $\mu_{2}$

Also we have given the variance is constant

We can test hypothesis as

$H0: \mu_{1} = \mu_{2}H1: \mu_{1} > \mu_{2}$

For this problem

Test statistic is

$T=\frac{\overline {x}-\overline {y}}{s\sqrt{\frac {1}{n1} +\frac{1}{n2}}}$

Where

$s=\sqrt{\frac{(n1-1)*s1^{2}+(n2-1)*s2^{2}}{n1+n2-2}}$

We have given all information for samples

By calculations we get

s=2.41

T=2.52

Here test statistic is having t-distribution with df=(10+7-2)=15

So p-value is P(t15>2.52)=0.012

Here significance level is 0.05

Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.

We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.

3 0

3 years ago

Work out the value of (2^3)^2

aniked [119]

Answer:

2^6

Step-by-step explanation:

7 0

3 years ago