On a normally distributed anxiety test with mean 48 and standard deviation 4, approximately what anxiety test score would put someone in the top 5 percent?

Answer:

that graph will feature an area delimited by a line of slope m passing through the origin (0,0). Since m>0 the slope is positive, meaning the line goes up. Since the equation is y > mx, the inequality sign being >, that means the area represented will be ABOVE the line drawn.

Answer:

x > 3

Step-by-step explanation:

Step 1: Isolate x

6x -6 > 12

6x > 18

Step 2: Divide

x > 3

Answer:

14

Step-by-step explanation:

We want to simplify [tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3[/tex] so as to find the exponent of b.

Let us expand all brackets:

[tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3\\\\= [a^3b^4c^6]^2 (b^{2*3}c^{5*3})\\\\= [a^6b^8c^{12}] (b^{6}c^{15})\\\\= a^6b^{8+6}c^{12 + 15}\\\\= a^6b^{14}c^{27}[/tex]

The exponent of b is 14.

Answer:

B

Step-by-step explanation:

Let's solve 12x + 7 < -11.

12x < -18

x < -3/2

Solving 5x − 8 ≥ 40 we get:

5x ≥ 48

x ≥ 48 / 5

Since it says AND, the answer is no solution.

Answer:

i might be 25

Step-by-step explanation:

Answer:

The answet is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]

[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]

[tex] \sin(θ) = \frac{4}{5} [/tex]

[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]

[tex]θ = 53.1 \: (1d.p)[/tex]

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

[tex]ACD = 90 - 53.1 = 36.9[/tex]

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]

[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]

[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]

[tex]CD \cos(36.9) = 5[/tex]

[tex]CD = \frac{5}{ \cos(36.9) } [/tex]

[tex]CD = 6.25 units\: (3s.f)[/tex]

9514 1404 393

Answer:

  J$48,950

Step-by-step explanation:

The entire purchase price is ...

  24×J$2000 +J$950 = J$48,950

Answer:

First seven terms apart from 10 are

13, 16, 19, 22, 25, 28, 31

Step-by-step explanation:

Given recursive rule aₙ = a ₙ ₋ ₁ + 3

a1 = 10

[tex]x_{1} = 10\\x_{2} = x_{2-1} + 3= x_{1} + 3 = 10 + 3 = 13\\x_{3} = x_{3-1} + 3= x_{2} + 3 = 13 + 3 = 16\\x_{4} = x_{4-1} + 3= x_{3} + 3 = 16 + 3 = 19\\x_{5} = x_{5-1} + 3= x_{4} + 3 = 19 + 3 = 22\\x_{6} = x_{6-1} + 3= x_{5} + 3 = 22 + 3 = 25\\\x_{7} = x_{7-1} + 3= x_{6} + 3 = 25 + 3 = 28\\x_{8} = x_{8-1} + 3= x_{7} + 3 = 28 + 3 = 31[/tex]

Thus, first seven terms apart from 10 are

13, 16, 19, 22, 25, 28, 31

Answer: (b) (g o g)(5)

Step-by-step explanation:

[tex]f(x)=\dfrac{5}{x}}\qquad g(x)=2x^2\\\\\\g(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad g(1)=2(1)^2=2\\\\\\g(g(5)):\ g(5)=2(5)^2=50\qquad g(50)=2(50)^2=\large\boxed{5000}\\\\\\f(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad f(1)=\dfrac{5}{1}=1\\\\\\f(g(5)):\ g(5)=2(5)^2=50\qquad f(50)=\dfrac{5}{50}=\dfrac{1}{10}[/tex]

Answer:

£ 14430

Step-by-step explanation:

Costing price = £13000

Increase = 11% of 13000

=> 11/100 × 13000

=> 11 × 130

=> £ 1430

Increased Price = 13,000+1430

=> £ 14430

8, 3, -2, -7

basically

you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.

so the first past of the answer is -5n.

then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.

your answer would then be

Answer:

-5x + 13

Step-by-step explanation:

to find the nth term, you must find the difference between each consecutive given terms.

So,

8 and 3 = -5

3 and -2 = -5

-2 and -7 = -5

This is the m in the equation mn+c

c is the value you must add to -5n when n is 1

Hope this helps

Answer:

Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]

Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]

Step-by-step explanation:

Sin x = [tex]\frac{perpendicular}{hypotenuse} = \frac{1}{2}[/tex]

So, Perp = 1 and hyp = 2

Putting this in Pythagorean theorem to get the base

[tex]c^2 = a^2+b^2[/tex]

[tex]a^2 = c^2-b^2[/tex]

base ² = 4-1

base² = 3

Taking square root on both sides

Base = [tex]\sqrt{3}[/tex]

Now

Cos x = [tex]\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}[/tex]

Tan x = [tex]\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }[/tex]

Answer:

(4x - 1)^2 = 16x^ - 8x + 1.  This is a perfect square trinomial.

Step-by-step explanation:

Take a look at B:  4a^2 - 10 a + 25.  The square roots of 4a^2 and 25 are 2a and 5 respectively.  Does (2a - 5)^2 come out to 4a^2 - 10a + 25?  No.

Take a look at C:  25b^2 - 5b + 10  We know this is not a perfect square trinomial because 10 is not a square.

D:  16x^2 - 8x + 1:  both 16x^2 and 1 are perfect squares, so we have:

(4x - 1)^2 = 16x^ - 8x + 1.  This is a perfect square trinomial.

Answer:

[tex]\overline{BC} \cong \overline{DC}[/tex] because corresponding parts of congruent triangles ΔACD and ΔACB are Congruent

Step-by-step explanation:

Statements,                                                Reason

[tex]\overline{AC}[/tex] bisects ∠BCD,                                      Given        

[tex]\overline{DC} \perp \overline{AD}[/tex]                                                    Given

∠CDA ≅ ∠CBA                                           Right angles are ≅

[tex]\overline{AC} \cong \overline{AC}[/tex]                                                     Reflexive property

ΔACD ≅ ΔACB                                           Hypotenuse Leg (HL) congrurency

[tex]\overline{BC} \cong \overline{DC}[/tex]                                                    CPCTC

Where:

CPCTC = Corresponding parts of Congruent Triangles are Congruent

⊥ = Perpendicular to

≅ = Congruent

∠ = Angle

Δ = Triangle.

Answer:

a = 14  

Step-by-step explanation:

The mean is the sum of the values divided by the number of values.

[tex]\begin{array}{rcl}\text{Mean}&= &\dfrac{11 + 8 + 7 + a + 16 + 10}{6}\\\\\dfrac{52 + a}{6}& = & 11\\52 + a & = & 66\\a & = & 66 - 52\\& = & \mathbf{14}\\\end{array}[/tex]

Answer:

[tex]40[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the number.

[tex]\frac{1}{4} x+\frac{1}{5} x=18[/tex]

[tex]\frac{9}{20} x=18[/tex]

[tex]x=18 \times \frac{20}{9}[/tex]

[tex]x=40[/tex]

If one fourth of a number is added to one fifth of the same number, and the result is 18, then the number = 40

Let the given number be represented by x

One-fourth of the number = x/4

One-fifth of the same number = x/5

One-fourth of the number is added to one fifth of the same number =

x/4  +  x/5  

The result is 18

This can be represented mathematically as:

x/4  +  x/5     =  18

Simplifying the equation above

(5x + 4x)/20  =  18

Cross multiply

5x +  4x  =  18(20)

9x  =  360

x   =  360/9

x   =  40

The number = 40

Learn more on word problem here: https://brainly.com/question/21405634

Answer:

The triangles are similar by the AA similarity postulate

Step-by-step explanation:

The only thing we know is that the three angles are the same

70+30 +80 = 180 so the missing angle in each triangle is  80  in the first and 70 in the second

The triangles are similar by the AA similarity postulate

Answer:

for 12:00 1 for 1:00 2

Step-by-step explanation:

this is a pattern where each number multiplies itself by 2 making 12:00 and 1:00 pm 1 and 2

edit: is it right? if it is, may I have brainliest?

Answer:

the answer for this question is D

Answer:

Correct answer is actually B

Step-by-step explanation:

I used someone’s answer with their work shown for my test

Answer:

Step-by-step explanation:

Answer:

5,004,300

Step-by-step explanation: Its just how you do it

Answer:

draw a table and calculate the x axis and find the x intercept

Step-by-step explanation:

Answer:

The correct answer is ..

(-1,-2)

Step-by-step explanation:

First, you reflect over the x-axis and get (1,-2) then reflect over the y- axis and the point will be on (-1,-2)

Hope this helps!

- Quinn <3

Answer:

Area: 42 cm²

Perimeter: 28.4 cm

Step-by-step explanation:

Simply plug in 4.2 cm for x into x + 5.8 to find the width. You width should be 10.

Area: Multiply 10 by 4.2 and you should get 42

Perimeter: Add up all the sides together (4.2 x 2 + 10 x 2) and you should get 28.4

Answer:

The area of a rectangle is length times width.

First recall the answer gives you x=4.2 for the eqaution x+5.8 and for the length.

Input that into the rectangle´s area formula.

(4.2)(4.2+5.8)

(4.2)(10)

=42 units^2.

Now to find the perimeter you need to add all the sides. We have two lengths and two widths.

4.2+4.2+10+10

= 28.4

Step-by-step explanation:

If you want more explanations then Khan academy is a great source.

Answer:

20

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

67 bcz

Answer:

67

Step-by-step explanation:

Answer:

y=6cos 45° +4

  =6(1/√2)+4

   =6/√2+4

Step-by-step explanation:

y=acosx+b

find a and b

y=b=4 when x=90 degrees because cos 90=0

find a : when x=60 degrees, y=7

7=acos60°+4

7=a(1/2)+4

a/2=3

a=6

y=6cos 45° +4

  =6(1/√2)+4

   =6/√2+4

Answer:

The new perimeter is 1400 cm

Step-by-step explanation:

The perimeter of the bedspread is the perimeter of a rectangle, whose formula is:

Perimeter = 2 * width + 2 * length

Then the perimeter of the initial bed spread is:

Perimeter = 2 * (238 cm) + 2 * (435 cm) = 1346 cm

as you calculated.

Now, she gets a new bedspread that is 27 cm longer. So the new dimensions are 238 cm width, and (435 + 27) cm length, then the perimeter becomes:

Perimeter = 2 * (238 cm) + 2 * (462cm) = 1400 cm

Answer:

hey guys whats up!

i think your answer is

1. you can spin the spinner a certain way and it is more likely to land on the answer you want or if it has anything to do with colors then make the color you want to take up more space.

2.you can as the other question above states do the opposite.

3.to make an event impossible you can do this:if it is a color leave it out,this means that it will not land on it so it is impossible.

4.to make an event certain you can do the opposite of answer 3

Step-by-step explanation:

hope this helps

thx

pls put brainliest

Charge q is 1 unit of distance away from the source charge S. Charge p is two times further away. The force exerted between S and q is _____ the force exerted between S and p

a. 1/2

b. 2 times

c. 1/4

d. 4 times

Answer:

4 times

Step-by-step explanation:

Given the following :

Distance between q and S (r) = 1 unit

Distance between P and S (r) = 2 × 1 unit = 2

According to coliumbs law:

F = Ke(q1q2) /r^2

Where F = electrostatic force, Ke = coloumbs constant

q1,q2 = charges, r = distance between two charges

For q and S :

Fsq = Ke(q1q2) / 1^2

Fsq = Ke(q1q2) - - - - - equation 1

For P and S :

Fsp = Ke(q1q2) / 2^2

Fsp = Ke(q1q2) / 4 - - - - - equation 2

Dibiding equation 1 by equation 2

Fsq/Fsp = Ke(q1q2) / Ke(q1q2)/4

Fsq / Fsp = Ke(q1q2) × 4 / Ke(q1q2)

Fsq / Fsp = 4 / 1

Using cross multiplication

Therefore, Fsq = 4 × Fsp