Which ordered pair is a solution of the equation y = 4x? (1, 3) (-1, -4) (-4, -1) (1, -4)

Giving brainliest for the correct answer

LenaWriter [7]

Answer:

8

Step-by-step explanation:

3 0

3 years ago

Noam walks home from school by walking 8 blocks north and then 6 blocks east. How

TEA [102]

Answer:

4 blocks shorter.

Step-by-step explanation:

Noam walks home from school by walking 8 blocks north and then 6 blocks east.

If Noam walks 8 blocks from School at A towards north to the point B and then from B towards east by 6 blocks to reach home at C, then Δ ABC will form a right triangle whose sides with 90° are AB = 8 blocks and BC = 6 blocks and AC is the hypotenuse which is given by

AC² = AB² + BC² = 8² + 6² = 100

⇒ AC = 10 blocks.

So, total distance that Noam travels is (8 + 6) = 14 blocks.

And if he walks along AC, then the distance will be 10 blocks which is (14 - 10 ) = 4 blocks shorter than his actual path. (Answer)

6 0

3 years ago

How many ways can 5 apple trees, 4 pear trees, and 3 cherry trees be arranged along a fence line?

Tems11 [23]

Answer:

60

Step-by-step explanation:

5 x 4 x 3=60

3 0

3 years ago

Read 2 more answers

Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.â Suppose a small group of 11 Allen's humming

alexira [117]

Answer:

$3.15-1.28\frac{0.38}{\sqrt{11}}=3.003$

$3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297$

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

$ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=3.15$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=0.38$ represent the population standard deviation

n=11 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.80 or 80%, the value of $\alpha=0.2$ and $\alpha/2 =0.1$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NOR.INV(0.1,0,1)".And we see that $z_{\alpha/2}=1.28$