1. Divide
1 point
1. On a standardized examination, Laura received a
score of 85, which was exactly 2 standard
deviations above the mean. If the standard
deviation for the examination is 4, what is the mean
for this examination?

Given:

The polynomial is:

[tex]P(x)=ax+b[/tex]

To find:

Whether [tex]x=-\dfrac{b}{a}[/tex] is a zero of the given polynomial or not.

Solution:

We have,

[tex]P(x)=ax+b[/tex]

Putting [tex]x=-\dfrac{b}{a}[/tex], we get

[tex]P(-\dfrac{b}{a})=a(-\dfrac{b}{a})+b[/tex]

[tex]P(-\dfrac{b}{a})=-b+b[/tex]

[tex]P(-\dfrac{b}{a})=0[/tex]

Since the value of the given polynomial is 0 at [tex]x=-\dfrac{b}{a}[/tex], therefore [tex]x=-\dfrac{b}{a}[/tex] is a zero of the given polynomial.

Answer:

[tex]P(3\ or\ c) = 0.45[/tex]

Step-by-step explanation:

Given

See attachment for spinner

Required

[tex]P(3\ or\ c)[/tex]

From the first spinner, we have:

[tex]S = \{1,2,3,4,5\}[/tex] --- Sample Space

[tex]n(S)=5[/tex]

So, P(3) is:

[tex]P(3) = \frac{n(3)}{n(S)}[/tex]

[tex]P(3) = \frac{1}{5}[/tex]

[tex]P(3) = 0.20[/tex]

From the second spinner, we have:

[tex]S = \{a,b,c,d\}[/tex]

[tex]n(S) = 4[/tex]

So, P(c) is:

[tex]P(c) = \frac{n(c)}{n(S)}[/tex]

[tex]P(c) = \frac{1}{4}[/tex]

[tex]P(c) = 0.25[/tex]

The required probability is then calculated as:

[tex]P(3\ or\ c) = P(3) + P(c)[/tex]

[tex]P(3\ or\ c) = 0.20 + 0.25[/tex]

[tex]P(3\ or\ c) = 0.45[/tex]

Answer:

3*1/2= 3/2

Step-by-step explanation:

[tex]\frac{3}{1}[/tex]*[tex]\frac{1}{2}[/tex] = 3/2

3*1/2= 3/2

3 is equal to 3/1

we then directly multiply

equation: (3/1)(1/2)

(3/1)(1/2)

3*1 = 3

1*2= 2

3/2 or 1 1/2.

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenth place, so we place 6 over 10 to create the equivalent fraction, 6/10.

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Answer:

216 cm²

Step-by-step explanation:

Area of ∆ACD = ½*CD*CA

CD = 24 cm

CA = ?

Use pythagorean theorem to find CA.

Thus:

CA² = AB² + BC²

Substitute

CA² = 10.8² + 14.4² = 324

CA = √324

CA = 18 cm

Area of ∆ACD = ½*CD*CA

Substitute

Area = ½*24*18

= 216 cm²

Answer:

1/3x3 3/4  /2.5 = 0.3

Answer:

i would think it would be the same as angle bcd so 90

Step-by-step explanation:

Answer:

Missing number = 3

Step-by-step explanation:

Let [tex]x[/tex] be the missing number. We have the following:

[tex]7\cdot (6+x)=63,\\6+x=9,\\x=\boxed{3}[/tex]

Answer:

y = x+5

Step-by-step explanation:

Answer:

[tex]y = x + 5[/tex]

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Lets say there's a line whose slope is 'm' & y-intercept is 'c'. So, the equation of line in slope-intercept form is → [tex]\boxed {y = mx + c}[/tex]

SOLUTION :-

By using the basic idea of slope-intercept form , the equation of line given in the question is :-

[tex]y = (1 \times x) + 5[/tex]

[tex]=> y = x + 5[/tex]

Answer:

(4000 in^2) * (1 ft/12 in)^2 = 27 7/9 ft^2

Step-by-step explanation:

4,000 Square Inches =

27.777778 Square Feet

Answer:

Step-by-step explanation:

Since our interval is given as it is, we are in QIII. That interval is equivalent to 270 degrees to 360 degrees, which is QIII. If we draw this right triangle in QIII and label it accordingly, the side adjacent to the reference angle is sqrt2 and the hypotenuse is 2. We know this because the cosine ratio is defined as the side adjacent to the reference angle over the hypotenuse of the right triangle. That means that we have to find the missing side in order to determine the other 2 main trig ratios. Using Pythagorean's Theorem, we have

[tex]2^2=\sqrt{2}^2+b^2[/tex] and

[tex]4=2+b^2[/tex] so

[tex]b=\sqrt{2}[/tex]. But since it is for a value that, in QIII is negative, it is [tex]-\sqrt{2}[/tex]

Now we can find the sin and tan of that reference angle. Sin is defined as the side opposite the reference angle over the hypotenuse, so

[tex]sin\theta=\frac{-\sqrt{2} }{2}[/tex] and tan, which is defined as side opposite the reference angle over the side adjacent to the reference angle, then

[tex]tan\theta=\frac{-\sqrt{2} }{\sqrt{2} }=-1[/tex]

Respuesta:

30

Explicación paso a paso:

Número total de preguntas = 100%

Número de preguntas correctas = 27

Porcentaje de aciertos = 90%

Por eso,

Si 90% = 27

Luego ; 100% = x

Multiplicar en cruz:

0,9 veces = 27

x = 27 / 0,9

x = 30

Número de preguntas = 30

Answer: The answer is 1:2, i hope it helps.

Answer:

O.75

Step-by-step explanation:

The value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have an equation:

[tex]\rm 1.5(4)^2^x=12[/tex]

[tex]\rm (4)^2^x=8[/tex]

[tex]\rm (2^2)^{2x}= 2^3[/tex]

[tex]\rm 2^{4x}=2^3[/tex]

4x = 3  (equating powers of same base)

x = 3/4

Thus, the value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.

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Answer:

B

Step-by-step explanation:

the graph is completely proportional so the answer would be 1

Answer:

(-1,10)

Step-by-step explanation:

At the point when the paths cross, the respective x and y values of each equation will be equal.

Your path is y=2x+12, and your friends path is 4x+y=6. Sub 2x+12 in for y (from your path's equation) into your friends equation to find the value of x:

4x+2x+12=6

6x=-6

x=-1

y=2x+12

y=2(-1)+12=10

So you will cross paths at (-1,10)

Answer:

48

Step-by-step explanation:

Substitute c=6 and d=3 in your formulas

[tex]5*6 + 2*3^{2}\\ 30 + 18\\48[/tex]

−300 + 174.83 = -125.17. A is the answer!

Answer:

After harvesting, she weighs each pumpkin on a scale and records its height

Answer:rf JAMES CHARLE's?!?

Step-by-step explanation:

Answer:

Outside, as the distance between the point and the center of the circle is more than the radius.

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

[tex](x-x_0)^2 + (y-y_0)^2 = r^2[/tex]

In which [tex](x_0,y_0)[/tex] is the center and r is the radius.

Testing if a point is inside the circle:

Point (x,y), we replace in the equation. If it is less than the radius squared(in this case, 62), it is in.

In this question:

Point (-3,-5). So

[tex](-3+7)^2 + (-5-2)^2 = 4^2 + (-7)^2 = 16 + 49 = 65[/tex]

The square distance of the point to the center is of 65, which is more than the square of the radius, meaning that the point is outside the circle.

Answer:

Outside

Step-by-step explanation:

Answer:

6n + 12

Step-by-step explanation:

Given an integer n, the 3 consecutive even integers greater than 2n are 2n+2, 2n+4 and 2n+6

Taking their sum;

Sum = (2n+2)+(2n+4)+(2n+6)

Sum = 2n+2n+2n+2+4+6

Sum = 6n + 12

Hence the sum of the 3 consecutive even integers greater than 2n is 6n+12

Answer:for the permieter dont you just add both sides?

Step-by-step explanation:

Answer:

5/9??? I think thats the answer

Answer:

520=20x+234

15 packages

Step-by-step explanation:

520-234

286

286/20

14.3, so she needs 15 packages

Answer:

9 inches

Step-by-step explanation:

9 times 6=54

Answer:

90-degree clockwise rotation: (x,y)⇒(y,-x)

Step-by-step explanation:

For D⇒D', (0,-3)⇒(-3,0)

For E⇒E', (2,-1)⇒(-1,-2)

For F⇒F', (5,-3)⇒(-3,5)

We can see that the pattern here is (x,y)⇒(y,-x), which is the rule for a 90-degree clockwise rotation.