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olga nikolaevna [1]
3 years ago
11

The spinner is divided into 10 equal sections.

Mathematics
2 answers:
WITCHER [35]3 years ago
7 0

Answer:

spinning a 4 or 5, spinning a number less than 3, spinning a number greater than 8

Step-by-step explanation:

The spinner has 10 spaces, if we took a 4/5 (2) and made it into a fraction (2/10) then simplified is (1/50---Less than 3, so that means not 3 itself either, so a 1 or a 2, so (2/10), then simplify it, (1/5)--- Greater than 8, so not 8 itself, so 9 or a 10 (2/10) then simplified, (1/5)

Vikki [24]3 years ago
4 0

Answer:

A, B and D

Step-by-step explanation:

Total numbers on spinner=10

We have to find the event that has theoretical probability of exactly 1/5.

A.Spinning a number less than 3

Number less than 3 = 1  and 2

Favorable cases=2

Probability,P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}=\frac{2}{10}=\frac{1}{5}

Hence,It is true.

B.Spinning a 4 or 5

Favorable cases=2

Probability ,P(E)=\frac{2}{10}=\frac{1}{5}

Hence,It is true.

C.Spinning odd number

favorable cases=1,3,5,7,9=5

Probability,=\frac{5}{10}=\frac{1}{2}

D.Spinning a number greater than 8

Number greater than 8=9 and 10

Favorable cases=2

Probability ,P(E)=\frac{2}{10}=\frac{1}{5}

Hence,It is true.

E.Spinning a number less than 8

Number less than 8=7

Probability,P(E)=\frac{7}{10}

Option A, B and D are true.

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garrett wants to build an addition to his living room. the room currently has a length of 13 feet and width of 10 feet. if he cr
marta [7]

Answer: 1,170ft^2

Step-by-step explanation:

We know that the area of the living room can be calculated with the formula for find the area of a rectangle. This formula is:

A_1=l_1*w_1

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l_1 is the lenght  of the original living room, and  w_1 is the width of the original living room.

If he creates the addition that causes the dimensions to triple, then the new area of Garrett’s living room is:

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4 0
3 years ago
Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros -4,-2,5. write the functio
OLga [1]

Answer:

Step-by-step explanation:

This is a third degree polynomial since we have 3 zeros.  We find these zeros by factoring the given polynomial.  The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0).  If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4.  If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2.  Same for the 5.  The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out.  That means that we need to find the product of

(x + 4)(x + 2)(x - 5).  Do the first 2 terms, then multiply in the third.

(x+4)(x+2)=x^2+2x+4x+8, which simplifies to

x^2+6x+8

No we multiply in the final factor of (x - 5):

(x^2+6x+8)(x-5)=x^3+6x^2+8x-5x^2-30x-40 which simplifies to

f(x)=x^3+x^2-22x-40

If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5.  If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.

3 0
3 years ago
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