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3 years ago

What two numbers add up to -27 and multiply to 72?

Mathematics

1 answer:

leonid [27]3 years ago

5 0

-3-24=-27, -3x-24=72
Answer is -3 and -24

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A teacher was interested in knowing the amount of physical activity that his students were engaged in daily. He randomly sampled

klasskru [66]

Answer:

The standard error of the mean is 4.5.

Step-by-step explanation:

As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}$

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.

The mean of the sample is:

$\bar{x}=\frac{1}n} \sum x_i =\frac{30+40+60+80+20+85}{6}=52.5$

The standard deviation of the sample is calculated as:

$s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8$

Then, we can calculate the standard error of the mean as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}=\frac{26.8}{6}= 4.5$

6 0

3 years ago

Please answer this question now in two minutes

Igoryamba

Answer: x=6, y=20

Step-by-step explanation:

Since ΔBCD and ΔTUS are congruent triangles, we can set the sides equal to each other.

y=2y-20 [subtract both sides by 2y]

-y=-20 [divide both sides by -1]

y=20

--------------------------------------------------------------------------------------

3x+32=9x-4 [add both sides by 4, and subtract both sides by 3x]

36=6x [divide both sides by 6]

x=6

7 0

2 years ago

3 Gordon is selling popcorn that costs

riadik2000 [5.3K]

Answer:

30 more bags

Step-by-step explanation:

7 0

3 years ago

Identify two ratios that are equivalent to 3:5

s344n2d4d5 [400]

The correct answer is 15:25

7 0

3 years ago

Which values of x make this equation true?

Evgesh-ka [11]

Answer:

${x}^{2} + x = 12 \\ {x}^{2} + x - 12 = 0 \\ {x }^{2} + 4x - 3x - 12 = 0 \\ x(x + 4) - 3(x + 4) = 0 \\ (x + 4)(x - 3) = 0 \\ either \: \: \: or \: \\ x = - 4 \: \: \: \: \: \: \: \: \: \: \: \: x = 3$

the answer is -4 and 3

3 0

2 years ago