PLEASE HELP!! I will give brainliest!

Brian, Alex & Colin share some money in the ratio 1:9:3.

fiasKO [112]

Answer:

Step-by-step explanation:

1:9:3

brian gets x

alex gets 9x

colin gets 3x

Brian and colin receive 40

x + 3x = 40

x = 10

alex gets 9x = £90

3 0

2 years ago

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 144 millimeters,

valentinak56 [21]

Answer:

The probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the distribution of sample mean is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

The information provided is:

μ = 144 mm

σ = 7 mm

n = 50.

Since n = 50 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample mean.

$\bar X\sim N(\mu_{\bar x}=144, \sigma_{\bar x}^{2}=0.98)$

Compute the probability that the sample mean would differ from the population mean by more than 2.6 mm as follows:

$P(\bar X-\mu_{\bar x}>2.6)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}} >\frac{2.6}{\sqrt{0.98}})$

$=P(Z>2.63)\\=1-P(Z$

*Use a z-table for the probability.

Thus, the probability that the sample mean would differ from the population mean by more than 2.6 mm is 0.0043.

8 0

2 years ago

One of the factors of the polynomial x3 − 5x2 is x + 3. What is the other factor?

olya-2409 [2.1K]

The answer is letter c. x2-8x+24-[72/(x+3)]. If you do not know how to solve this using the long division method, you can always evaluate the options through the process of elimination first. Since the degree of the other factor is already 1 (x to the power of 1), you know that option d. is not the correct answer because you know that the other factor must be raised to the power of 2. That leaves us with a, b and c. Working backwards and multiplying the given factor (x+3) with the factor in b, gives us x3-5x2+72. So from there, you know that you have to eliminate 72, which can be removed when it is subtracted by itself. Letter c does just that. Try multiplying (x+3) and option c for yourself :).

8 0

2 years ago

Read 2 more answers

It is a linear equation but i don't know how to set the equation up , need help

ryzh [129]

Step-by-step explanation:

x = number of novels

y = number of dictionaries

x = 8y

88x + 208y = 13680

now, using the identity of the first equation in the second equation gives us

88(8y) + 208y = 13680

704y + 208y = 13680

912y = 13680

y = 13680/912 = 15

x = 8y = 8×15 = 120

so, there were 120 novels and 15 dictionaries sold.

7 0

2 years ago

Which equation describes a parabola that opens up or down and whose vertex is at the point (h,v)

Serggg [28]

y = a ( x - h)^2 + v

a is positive when the parabola opens up and negative when it opens down.

7 0

3 years ago

PLEASE HELP!!I will give brainliest!