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3 years ago

Estimate the sum to the nearest whole number 29.1 +78.9 + 41.5

Mathematics

2 answers:

aliina [53]3 years ago

8 0

When you estimate the sum to the nearest you add one number if the decimal is over 5. 29+79+42 = 150

lesya692 [45]3 years ago

6 0

I rounded each number to the nearest whole number and added those.

29 + 79 + 42 = 150

If you add the original numbers you would get 149.5, which rounds to 150.

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Roll the number cube to find the observed frequency. Which statements are true? Check all that apply

ch4aika [34]

Answer:

(a) and (c)

Step-by-step explanation:

Given

See attachment for complete question

Required

Select all true statements

First, calculate the total observed frequency;

$Total = 11 + 16 + 14 + 20 + 12 + 17$

$Total = 90$

(a): Relative frequency of 4 is 2/9

Relative frequency is calculated by:

$RF= \frac{Observed\ Frequency}{Total}$

For roll 4

$Observed\ frequency = 20$

So, the relative frequency is:

$RF = \frac{20}{90}$

Simplify

$RF = \frac{2}{9}$

(a) is true

(b): Experimental probability of 3 greater than its theoretical probability

The experimental probability is its relative frequency;

For roll 3

$Observed\ frequency = 14$

The experimental probability is:

$Pr = \frac{14}{90}$

Simplify

$Pr = \frac{7}{45} = 0.156$

To calculate the theoretical probability, w have:

$S = \{1,2,3,4,5,6\}$ ---- sample space

$n(S)= 6$

$n(3) = 1$ --- number of times 3 occur

The theoretical probability is:

$Pr = \frac{1}{6} = 0.167$

The theoretical probability is $greater\ than\ the$ experimental probability.

(b) is false

(c): Experimental probability of 2 greater than its theoretical probability

Using the explanations in (b), we have:

For roll 2

$Observed\ frequency = 16$

The experimental probability is:

$Pr = \frac{16}{90}$

Simplify

$Pr = \frac{8}{45} = 0.178$

To calculate the theoretical probability, we have:

$n(S)= 6$

$n(2) = 1$

The theoretical probability is:

$Pr = \frac{1}{6} = 0.167$

The experimental probability is $greater\ than\ the$ theoretical probability.

(c) is true

(d): Relative frequency of 5 is 2/13

For roll 5

$Observed\ frequency = 12$

The relative frequency is:

$RF = \frac{12}{90}$

Simplify

$RF = \frac{2}{15}$

(d) is true

7 0

3 years ago

Graph the function. f(x)=-\dfrac{2}{3}(x +1)(x -5)f(x)=− 3 2 (x+1)(x−5)

Charra [1.4K]

Answer:

see below

Step-by-step explanation:

f(x) = -2/3 (x+1) (x-5)

First find the zeros

0 = -2/3 (x+1) (x-5)

Using the zero product property

x+1 =0 x-5=0

x= -1 x = 5

Then find the y intercept

y = -2/3 (0+1)(0-5)

- 2/3 (1)(-5)

+10/3

We know that this is a parabola that opens downward

6 0

3 years ago

Sarah rolls a fair dice 96 times.

SCORPION-xisa [38]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

16x^2+25y^2+32x-150y-159=0

damaskus [11]

Answer: 3x-x+2=4

Step-by-step explanation: 16(x^2 + 2x + 1) + 25(y^2 - 6y + 9) = 159 + 16 + 225

16(x + 1)^2 + 25(y - 3)^2 = 400

(x + 1)^2 / 25 + (y - 3)^2 / 16 = 1

The major axis is 2a, here since a^2 = 25, it is 10.

The minor axis is 2b, here since b^2 = 16, it is 8.

7 0

3 years ago

X-6less than or equal to 15+18x

natka813 [3]

Answer:

x-6 is less than 15+18x

Step-by-step explanation: In this situation no matter what X is 15+18x will be bigger because you are adding and multiplying to that x where as the other x is taking away 6

6 0

3 years ago