Which of the following gives all of the coefficients of the algebraic expression -2x2 + 17 -15x + 7xy?

Solve for b: 4b + 8/ -2 = 10

Vika [28.1K]

Answer:

The answer is b= 7/2

Step-by-step explanation:

hope this helps

5 0

2 years ago

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In the past few years, outsourcing overseas has become more frequently used than ever before by U.S. companies. However, outsour

Sliva [168]

Answer:

P(X=5)=0.1032

Step-by-step explanation:

This variable can be modeled by a binomial distribution, with parameters n=15 (sample size) and p=0.2 (the individual probability that the company use a consultant).

The probability that k companies that outsource overseas use a consultant can be written as:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{15}{k} 0.2^{k} 0.8^{15-k}\\\\\\$

Then, the probability that exactly five companies that outsource overseas use a consultant is:

$P(x=5) = \dbinom{15}{5} p^{5}(1-p)^{10}=3003*0.0003*0.1074=0.1032\\\\\\$

4 0

2 years ago

△ABC is a right triangle with right angle C. Side AC¯¯¯¯¯¯¯¯ is 6 units longer than side BC¯¯¯¯¯¯¯¯. If the hypotenuse has lengt

Vladimir [108]

Given:

In △ABC is a right angle triangle.

AC is 6 units longer than side BC.

$Hypotenuse=2\sqrt{17}$

To find:

The length of AC.

Solution:

Let the length of BC be x.

So, Length of AC = x+6

According to the Pythagoras theorem, in a right angle triangle

$Hypotenuse^2=Base^2+Perpendicualar^2$

△ABC is a right angle triangle and AC is hypotenuse, so

$(2\sqrt{17})^2=(x)^2+(x+6)^2$

$68=x^2+x^2+12x+36$ $[\because (a+b)^2=a^2+2ab+b^2]$

Subtract 68 from both sides.

$0=2x^2+12x+36-68$

$0=2x^2+12x-32$

$0=2(x^2+6x-16)$

Divide both sides by 2.

$x^2+6x-16=0$

Splitting the middle term, we get

$x^2+8x-2x-16=0$

$x(x+8)-2(x+8)=0$

$(x+8)(x-2)=0$

$x=-8,2$

Side cannot be negative, so x=2 only.

Now,

$AC=x+6$

$AC=2+6$

$AC=8$

Therefore, the length of AC is 8 units.

6 0

3 years ago

Help solving this question<br> 5x + yb = zmh

BigorU [14]

5X+yb=zmh
5x+yb-yb=zmh-yb
5x=zmh-yb
5x/5=zmh/5-yb/5
x=mhz-by/5

6 0

2 years ago

In a clinical trial of 268 subjects treated with a drug, 11% of the subjects reported dizziness. The margin of error is plus o

Mariulka [41]

Answer:

$\hat p =0.11$ represent the proportion estimated of subjects reported with dizziness

n = 268 represent the random sample selected

$\hat q = 1-\hat p = 1-0.11= 0.89$ represent the proportion of subjects No reported with dizziness

E= 0.04 = 4% represent the margin of error for the confidence interval

$\alpha= 1-0.90 =0.1$ and this value represent the significance level of the test or the probability of error type I

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$