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2 years ago

I need the second answer!?!?

Mathematics

1 answer:

lubasha [3.4K]2 years ago

4 0

Answer:

2³ · 3³

Step-by-step explanation:

$\frac{6^{3} . 2^{6}}{2^{3} }$

= (6³/2³) · (2⁶)/(2³)

= 3³ · 2⁶⁻³

= 3³ · 2³

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Martha filled a bowl with 0.5 cup of flour and 0.75 cup of milk. To the nearest cup, how many cups of ingredients were in the bo

Damm [24]

0.5 + 0.75 = 1.25

1.25 rounds off to 1.

7 0

3 years ago

Give two examples that show how using parentheses can change the order I. Witch operations are performed in an expression

pantera1 [17]

The order of arithmetic operations is given by the acronym PEMDAS, which means
Parentheses,
Exponents,
Multiplication,
Division,
Addition,
Subtraction.

These two examples illustrate how the use of parentheses can change the order.

Example 1:
5+7/3x4-2/5 has an answer of 13.933.

Use PEMDAS to obtain
5+(7/3)x4-(2/5)
= 5+(2.3333x4)-0.4
= 5+9.3333-0.4
= 14.3333-0.4
= 13.933

If we apply the parentheses: (5+7)/3x4-2/5
The result is
(12/3)x4-(2/5)
= (4x4)-0.4
= 16-0.4
= 15.06
which is a different answer.

Example 2:
8/3²x5+4 has the answer 8.444

Use PEMDAS to obtain
8/(3²)x5+4
= (8/9)x5+4
= (0.8889x5)+4
= 4.4444+4
= 8.4444

If we apply the parentheses (8/3)²x5+4:
The result is
2.6667²x5+4
= 7.1113x5+4
= 35.5565+4
= 39.5565
which is a different answer.

3 0

3 years ago

He first three terms of a geometric sequence are as follows. 10 , 30 , 90 find the next two terms of this sequence.+

ankoles [38]

10*3=30
30*3=90
90*3=270
270*3=810

or

10*3^1=30
10*3^2=90
10*3^3=270
10*3^4=810

the next two terms of this sequence are 270 and 810.

4 0

3 years ago

in a random sample of 200 people, 154 said that they watched educational television. fine the 90% confidence interval of the tru

melisa1 [442]

Answer:

[0.7210,0.8189] = [72.10%, 81.89%]

Step-by-step explanation:

The sample size is

n = 200

the proportion is

p = 154/200 = 0.77

Since both np ≥ 10 and n(1-p) ≥ 10

We can approximate this discrete binomial distribution with the continuous Normal distribution. As the sample size is large enough, not applying the continuity correction factor makes no significant difference.

The approximation would be to a Normal curve with this parameters:

Mean

p = 0.77

Standard deviation

$\bf s=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.77*0.23}{200}}=0.0298$

The 90% confidence interval for the proportion would be then

$\bf [0.77-z^*0.0298, 0.77+z^*0.0298]$

where $\bf z^*$ is the 10% critical value for the Normal N(0,1) distribution , this is a value such that the area under the N(0,1) curve outside the interval $\bf [-z^*,z^*]$ is 10%=0.1

We can either use a table, a calculator or a spreadsheet to get this value.

In Excel or OpenOffice Calc we use the function

NORMSINV(0.95) and we get a value of 1.645

The 90% confidence interval for the proportion is then

$\bf [0.77-1.645^*0.0298, 0.77+1.645^*0.0298]=[0.7210,0.8189]$

This means there is a 90% probability that the proportion of people who watch educational television is between 72.10% and 81.89%

If the television company wanted to publicize the proportion of viewers, do you think it should use the 90% confidence interval?

Yes, I do.

5 0

3 years ago

a rectangle has an area of x2+8x+15 square meters and a width of x+3 what expression represents the length of the rectangle

anzhelika [568]

Answer:

1x + 5

Step-by-step explanation:

Since the area of a rectangle of width w and length l is A = l*w,

length = Area / Width.

Here, x^2 + 8x + 15

length of rectangle = ----------------------

x + 3

Use synthetic division to perform the above. The coefficients of the quadratic are a = 1, b = 8 and c = 15, and the divisor is -3 (from (x + 3).

-3 / 1 8 15

-3 -15

-------------------------

1 5 0

Since the remainer is zero (0), -3 is a root and 1x + 5 is a factor of the quadratic. This factor, representing the length of the rectangle, is 1x + 5.

Next time, kindly share the answer choices. Thank you.

6 0

3 years ago

I need the second answer!?!?​

I need the second answer!?!?