Is the given value a solution of the equation? write yes or no.

Write the equations included in the same set of related facts as 6 ✖️8=48

makkiz [27]

8×6=48
48÷6=8
48÷8=6

I hope this helped!!!:

6 0

3 years ago

An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. Find the sa

Julli [10]

Answer:

Step-by-step explanation:

Given that IQ mean is 100 and std dev = 12 for normal adults

$Confidence level =90%\\Z critical value = 1.645\\Margin of error = 2\\Margin of error = 1.645* std error =2\\Std error = 1.216$

Std error = $\frac{12}{\sqrt{n} } =1.216$

$n=(\frac{12}{1.216} )^2 =97.38$

i.e. sample size should be atleast 97

The required sample size is 97.

This is reasonable as this is greater than 30

Yes. This number of IQ test scores is a fairly large number.

5 0

3 years ago

(10 points plus 5 and brainliest)!

velikii [3]

Answer:

y = 15x + 200

Step-by-step explanation:

It should be y = 150x + 200 because if you look at the first one, 300x is too big.

You can cross out the last two.

Then you can see the second one also doesn't work.

Cross that one out.

The first choice is the only one.

8 0

3 years ago

Could someone help me rnnn?

GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola: $y=3x^2-4$

Step-by-step explanation:

Given:

y-intercept of parabola: -4
parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola: $y=a(x-h)^2+k$

(where (h, k) is the vertex and $a$ is some constant)

Substitute point (0, -4) into the equation:

$\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}$

Substitute point (-2, 8) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}$

Substitute point (1, -1) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}$

Equate to find h:

$\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}$

Substitute found value of h into one of the equations to find a:

$\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}$

Substitute found values of h and a to find k:

$\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}$

Therefore, the equation of the parabola in vertex form is:

$\implies y=3(x-0)^2-4=3x^2-4$

So the vertex of the parabola is (0, -4)

5 0

3 years ago

Read 2 more answers

Please help me branniest <br> Explain answers

Nana76 [90]

when a number is raised to two powers, the first step is to multiply the two powers together:

1/3 * 3 = 1

Now you have 5^1 which equals 5.

The answer is B. 5

7 0

3 years ago