Assume that adults have IQ scores that are normally distributed with a mean of ?=100 and a standard deviation ?=20. Find the probability that a randomly selected adult has an IQ less than 140.

The rational root theorem is used to determine the possible roots of a function.

The true statement is: (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.

The function is given as:

[tex]\mathbf{f(x) = 8x^3 - 4x^2 + 6x + 3}[/tex]

The possible roots of a function

[tex]\mathbf{f(x) = qx^n + ax^{n-1} +.....+ p}[/tex]

are

[tex]\mathbf{Roots = \pm\frac{Factors\ of\ p}{Factors\ of\ q}}[/tex]

By comparison: p = 3 and q = 8

So, we have:

[tex]\mathbf{Roots = \pm\frac{Factors\ of\ 3}{Factors\ of\ 8}}[/tex]

Hence, the true option is (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.

Read more about rational root theorem at:

https://brainly.com/question/9353378

Answer:

3)x=-9

4)x=-2

5)x=-4

6)x=-5

7)x=-12

8)x=-11

Step-by-step explanation:

Answer:

[tex]\displaystyle y = -\frac{2}{3} x + \frac{34}{3} \text{ or } 2x + 3y =34[/tex]

Step-by-step explanation:

We want to find the equation of a line that contains the point (5, 8) and is parallel to the graph of:

[tex]\displaystyle 2x + 3y = 9[/tex]

Recall that parallel lines have equal slopes.

Find the slope of the given graph by rewriting it in slope-intercept form:

[tex]\displaystyle \begin{aligned} 2x + 3y & = 9 \\ \\ 3y & = -2x + 9 \\ \\ y & = -\frac{2}{3} x + 3 \end{aligned}[/tex]

Hence, the slope of the given graph is -2/3. Therefore, the slope of our new line must also be -2/3.

Since we now have a slope and a point, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]

Substitution yields:

[tex]\displaystyle y - (8) = -\frac{2}{3}(x -( 5))[/tex]

We can simplify this into slope-intercept form:

[tex]\displaystyle \begin{aligned} y - 8 & = -\frac{2}{3} x + \frac{10}{3} \\ \\ y & = -\frac{2}{3} x + \frac{34}{3}\end{aligned}[/tex]

Or, into standard form:

[tex]\displaystyle \begin{aligned} y & = -\frac{2}{3}x + \frac{34}{3} \\ \\ 3y & = -2x + 34 \\ \\ 2x + 3y & = 34 \end{aligned}[/tex]

Answer:

u=-1

Step-by-step explanation:

if you replace with a or b the answer on the left side is actually bigger since it is closer to 0 than -20. same with choice d

choice c makes -12-28 which is a smaller value than -20

Answer:

3 balls of wool

Step-by-step explanation:

8/4=2

6/2=3

Answer:

A) y=5x-3

Step-by-step explanation:

Answer:

n = m - a

Step-by-step explanation:

a = m - n

add n to both sides of the equation

a + n = m - n + n

a + n = m

subtract a from both sides of the equation

a - a + n = m - a

n = m - a

Answer:

n = a - m

Step-by-step explanation:

a = m - n

a - m = n

Answer: radius = 4

Step-by-step explanation:

The equation of circle is [tex](x - h)^{2} +(y - k)^{2} =r^{2}[/tex]

So [tex]3((x-5)^{2}+ (y+9)^{2} )=48[/tex]

[tex](x-5)^{2}+(y+9)^{2}=16[/tex]

So [tex]r^{2} = 16[/tex]

[tex]r=4[/tex]

Please give me a brainliest answer

Answer:

c

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

24/6=4

4 x 40 = 160

x is 160 when y is 24

Answer:

160

Step-by-step explanation:

Let x be... well x

24 ÷ 6 = 4

40 × 4 = 160

OR

40÷6 ≈6.66

6.6666666... × 24 = 160

Answer:

17.8 is the answer

Step-by-step explanation:

89/5 (the improper fraction of 17 4/5) divided is 17.8

Answer:

first method :

⅘ in decimal is 0.8 (4/5 = 8/10 = 0.8)

17 + 0.8 = 17.8

(this is the easiest method of doing this)

second method :

(17 × 5 + 4)/5

= 89/5

and dividing this u get 17.8

(but this is a lengthy method, as it will take time to devide)

Step-by-step explanation:

brainliest plz

Answer:all

Step-by-step explanation:so because u have done all

Answer:

Step-by-step explanation:

[tex] \frac{x}{y} \\ x \div y \\ - \frac{7}{9} \div - 0.2 \\ - \frac{7}{9} \times - \frac{1}{0.2} \\ \frac{7}{1.8} \\ \frac{7 \times 10}{1.8 \times 10} \\ \frac{70}{18} \\ \frac{35}{9} \\ = 3 \frac{8}{9} \\ [/tex]

Answer:  If you measure out a 10k course and then time how long it takes you to ride it, that will tell you which speed range to use and what time to input. If you weigh 185 pounds and fall into the 12 to 13 mph range, it will take you about 30 minutes to pedal 10k — which means that according to the ACE estimates, you will burn about 335 calories.

Step-by-step explanation:

Hope this helps!

Answer:

0.2km/min or 12.7km/hour

Step-by-step explanation:

speed = distance ÷ time

speed = (10km + 8km) ÷ (45 mins + 40 mins)

= 18 ÷ 85

= 0.21176...km/min ≈ 0.2km/min

To convert 0.21176...km/min into km/hr, you multiply by 60

0.21176...km/min × 60 = 12.70588...km/hr ≈ 12.7km/hr

Answer:

Step-by-step explanation:

Answer:

Eh, you're not getting any help since you lied about "giving brainliest".

Step-by-step explanation:

Answer:

$5 + 4x = 25

Step-by-step explanation:

let x = eraser

4 × x = 4x

$5 + 4x = $25

...........chúc bạn thành công ✊

Answer:

The population will be 334,958.

Step-by-step explanation:

Multiply 338,000 by 0.009 to get the answer. The reason is to multiply by a percentage, you move the decimal two spots to the left. For example, 0.9 -> 0.009.  Another would be 3 -> 0.03.

Answer:

4x4 = 16  √16=4

Step-by-step explanation:

Answer:

sqrt (16)

= sqrt (4×4)

= 4

Step-by-step explanation:

brainliest plz

Step-by-step explanation:

first you need to tranfer 1 to RHS do the addition

n/3 = 8+1

=) n/3 = 9

then you need to transfer 3 to RHS and multiply

=> n = 9 x 3

there for n = 27

Answer:

X = 4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-5 + 2x = 3

2x = 3 + 5

2x = 8

x = 8 / 2

x = 4

answer is A. x = 4

Step-by-step explanation:

brainliest plz

i think it would be y+8=1/5(x+3)

Step-by-step explanation:

point slope formula is y-y1=m(x-x1)

slope=m

m=1/5

Answer:

tatlong Lugar na posibleng paglaruan ng luksong tinik

Answer:

4/8

Step-by-step explanation:

because