MATHEMATICS HIGH SCHOOL

2. You spin a spinner that has eight equal-sized sections numbered one to eight. Which event isleast likely to occur?
The number is even.
The number is less than three.
The number is greater than three.
The number is a multiple of five.

Answers

Answer 1

Answer:

Answer:

Getting a multiple of 5 is the least likely outcome.

Step-by-step explanation:

We spin a spinner that has 8 equal-sized sections numbered 1 - 8.

We have to find which is the least likely to occur.

The number is even when outcomes are 2,4,6 or 8.

Number of outcomes = 4

If the number is less than 3, the number of possible outcomes are 2 that is 1 and 2.

If the number is greater than 3 , number of possible outcomes is 5 which are 4,5,6,7 and 8.

If the number is a multiple of 5, only 1 outcome is there which is 5 itself.

Hence getting a multiple of 5 is the least likely outcome.

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Identify the turning point of the function f(x)=x^2-2x+8 by writing its equation in vertex form.Show work

Answers

$f(x)=x^2-2x+8 \n \n To \ convert \ the \ standard \ form \ y = ax^2 + bx + c \n \n of \ a \ function \ into \ vertex \ form \n \n y = a(x - h)^2 + k \n \n Here \ the \ point \ (h, k) \ is \ called \ as \ vertex \n \n h=(-b)/(2a) , \ \ \ \ k= c - (b^2)/(4a)\n \n a=1 ,\ b=-2 , \ c = 8$

$h=(-b)/(2a)=(-(-2))/(2 )=(2)/(2)=1 \n\n k=c - (b^2)/(4a) =8 - ( (-2)^2)/(4 ) = 8-1 = 7 \n \n y= (x-1)^2 + 7 \n \n So \ the \ turning \ point \ is \ (1,7)$

Identify the explanatory and response variables in the following situation:There is a strong negative correlation between latitude above the equator and average temperature on December 21.

A: Explanatory: Latitude
Response: Daylight hours
B. Explanatory: Latitude
Response: Average temperature
C. Explanatory: Daylight hours
Response: Latitude
D. Explanatory: Time of year
Response: Daylight hours

Answers

Negative correlation refers to an inverse relationship between two variables. When one variable increases, the other decreases.

The variables are latitude and average temperature.

The explanatory variable is latitude and the response is the average temperature. Choice B.

As the latitude increases, the average temperature decreases. This is a strong negative correlation of between the two variables.

The best answer would be letter B. The explanatory variable in the situation given above would be the latitude, while the response variable would be the average temperature. The explanatory variable is another term for the independent variable while the response variable is another term for dependent variable.

Find the exact value of tan 255º.

Answers

When plotted in a Cartesian plane, the angle 225 degrees is at third quadrant. It is expected that its tangent is a positive value. We directly input this value in our scientific calculator. The answer would be 1. We may also use the equation, tan x = opposite side / adjacent side.

A submarine that is 225 feet below sea level descends 67 feet and then ascends 110 feet. What is the location of the submarine compared to the sea level now?

Answers

Answer:

182

Step-by-step explanation:

225+67-110

Answer:

Step-by-step explanation:

What is x2 – 6 = 16x + 30 rewritten in standard form, then factored?

Answers

Quadratic equation is the polynomial equation whose highest power of the variable is two. The standard form of the given equation is,

$x^2-16x-36&=0$

The factor roots of the equation are -2 and 8.

Given information-

The quadratic equation given in the problem is,

$x^2 -6 = 16x + 30$

Quadratic equation-

Quadratic equation is the polynomial equation whose highest power of the variable is two. Quadratic equation is the equation which involves only one unknown variable.

The standard form of the quadratic equitation can be given as,

$ax^2+bx+c=0$