A national survey of 1516 respondents reached on land lines and cell phones found that the percentage of adults who favor legalized abortion has dropped from 55% a year ago to 45%. The study claimed that the error
atributable to sampling is 4 percentage points. Would you claim that a majority of people are not in favor of legalized abortion?

[tex]{\boxed{\mathcal{\purple{D.\:81}}}}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( {3})^{ \frac{11}{5} } \div {3}^{ \frac{ - 9}{5} } \\ \\=( {3})^{ \frac{11}{5} - ( \frac{ - 9}{5} ) } \\ \\ = ( {3})^{ \frac{11}{5} + \frac{9}{5} } \\ \\ = ( {3})^{ \frac{11 + 9}{5} } \\ \\ = ( {3})^{ \frac{20}{5} } \\ \\ = ( {3})^{4} \\ \\ = ( \: 3 \times 3 \times 3 \times 3 \: ) \\ \\ = 81[/tex]

Note:-

[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]

[tex]\sf\red{(-)\:x\:(-)\:=\:+}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

x = 9

Step-by-step explanation:

2x - 1 + 1 = 17 + 1

2x = 18

(2x=18)/2

x = 9

Answer:

2x - 1 = 17

add 1 on each side --> 2x = 18

x = 9 because one divides 2 from each side  and results to 9

Step-by-step explanation:

Answer:

A. the mode.

Step-by-step explanation:

Mean

Sum of all values divided by the number of values, so is affected by an outlier present in the data-set.

Standard deviation:

Square root of the sum of the differences squared between each value and the mean, divided by the sample size. As it's related to the mean, it is affected by an outlier.

Range:

Subtraction of the largest value of the data-set by the smallest value, and thus, is also affected by an outlier.

Mode

Value that appears the most often in the data-set, and thus, not affected by an outlier, which means that the correct answer is given by option A.

Answer:

option 1

Step-by-step explanation:

     [tex]x^2[/tex]      [tex]-2x[/tex]         [tex]+8[/tex]

                [tex]x[/tex]           [tex]-4[/tex]

_____________________

        [tex]-4x^2[/tex]     +8x        -32

[tex]x^3[/tex]      [tex]-2x^2[/tex]     +8x          0

_______________________

[tex]x^3[/tex]      [tex]-6x^2[/tex]     +16x       -32

[tex]A =+ 8x\\\\B = -2x^2\\\\C= +16x[/tex]

Answer:

39/89

Step-by-step explanation:

Answer:

7/25

Step-by-step explanation:

(sin) = opp/hyp

Answer:

1) 1m³ is 100cm*100cm*100cm = 1,000,000cm³

so 250,00cm³ are just 0.25m³

2) looking at the conversion above, three point five million is correct

3) 1dm³ = 10cm*10cm*10cm = 1,000cm³

D, as in Dewey Duck

4) 1m³ = 10dm*10dm*10dm = 1,000dm³

see that it's C?

Answer:

Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.

Step-by-step explanation:

Given that Mr. Akika has 33 18 cent and 32 cent stamps all told, and the stamps are worth $ 9.02, to determine how many of each kind of stamp does he have the following calculation must be performed:

10 x 0.18 + 23 x 0.32 = 9.16

11 x 0.18 + 22 x 0.32 = 9.02

Therefore, Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.

Answer:

A. Probability = 0.02

B. This is in a cumulative frequency table in the attachment I added

Step-by-step explanation:

A. We have these following probabilities

Prob(X=0) = 0.05

Prob(x= 2) = 0.30

Prob(X = 4) = 0.50

Prob(X < 2) = Prob(X=0) + prob(X=1)

0.18 = 0.05 + prob(X=1)

prob(X=1) = 0.13

A. Prob(x = 3)

= 1 - (0.05 + 0.13 + 0.30 + 0.50)

= 0.02

Probability of buying only 3 times = 2%

B. The cumulative frequency is in the attachment.

Answer:

B. 1/√2

Step-by-step explanation:

Soh Cah Toa

cos is adjacent over hypotenuse so from either 45° degree angle it is 1/√2

For the given right angle triangle, cos 45 = 1/√2

Hence, option B is correct.

In the given triangle,

Adjacent  = 1

Hypotenuse = √2

Since we know,

The values of all trigonometric functions depending on the ratio of sides of a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

For a right angled triangle,

Cosθ = adjacent / hypotenuse

Therefore,

cos 45 = 1/√2

To learn more about trigonometric ratios visit:

https://brainly.com/question/29156330

#SPJ6

Answer:

RM79 608.51

Step-by-step explanation:

First year,

RM505 050.00×5%=RM505 050.00×5/100

=RM25 252.50

second year,

(RM505 050.00+RM25 252.50)×5%=RM530 302.50×5/100

=RM26 515.13

third year,

(RM530 302.50+RM26 515.13)×5%=RM556817.63×5/100

=RM27840.88

three years interest,

RM25 252.50+RM26 515.13+RM27840.88=RM79608.51

I don't know that is R or RM

if it is R ,sorry

Hope can help!

Answer:

18 15/16 ft

Step-by-step explanation:

what is the request here ?

to do the additions and bring all to one summary result of ft ?

I base my answer on this assumption.

10 1/16 = 161/16

8 3/8 = 67/8

1/2 = 1/2

note let's bring everything to 16th, so that we can actually add them.

161/16

67/8 = 134/16

1/2 = 8/16

161/16 + 134/16 + 8/16 = 303/16 = 18 15/16

cross check :

add all whole numbers first, and then add the remaining fractions too (need to bring them to 16th too).

10 + 8 = 18

1/16 + 3/8 + 1/2 = 1/16 + 6/16 + 8/16 = 15/16

together, 18 15/16

yeah, it is the same.

Answer:

174.8 in²

Step-by-step explanation:

Shaded area = square area - circle area

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

Square

a = 15 * 15

a = 225

Circle

a = π * 4²

a = 3.14 * 16

a = 50.24

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

Shaded

a = 225 - 50.24

a = 174.76

Rounded

174.8 in²

Answer:

x = 41.05

Step-by-step explanation:

Given that,

In a right angles triangle,

Perpendicular height, P = 228

Angle 1 = 90°

Angle 2 = 47°

Angle 3 = 180-(90+47) = 43°

Using trigonometry to find x.

[tex]\sin\theta=\dfrac{P}{x}\\\\x=\dfrac{P}{\sin\theta}\\\\x=\dfrac{28}{\sin(43)}\\\\x=41.05[/tex]

So, the value of x is equal to 41.05.

Answer:

.082

Step-by-step explanation:

First find the common ratio

Take the second term and divide by the first term

20/50 = 2/5 = .4

Check with the third term divided by the second term

8/20 = .4

The formula for a geometric sequence is

an = a1 (r) ^(n-1)  where a1 is the first term and r is the common ratio

     =50 ( .4) ^ (n-1)

We want to find the 8th term

     = 50 ( .4)^(8-1)

      = 50 ( .4) ^7

      =0.08192

Round to the nearest thousandth

      = .082

Hope this help!!!

Have a nice day!!!

Answer:

D option is correct

( At Q3 the market is wasting society's .. )

Answer:

A

Step-by-step explanation:

The answer is A, the graph raises, crosses at (0, 5) and then remains constant.

Answer:

41.6

Step-by-step explanation:

got it wrong and it showed me the right answer

iii; iv; and v

Step-by-step explanation:

I think

9514 1404 393

Answer:

  7 : 9

Step-by-step explanation:

The ratio of interest is ...

  large coffees : small coffees = 42 : 54 = 7 : 9

Answer:

6 1/2................

Answer:

if this is multiple choice then you forgot to give us the answers. the best answer i can give you is "the set of odd numbers is less than 15 because it does not exceed 13

A word description of sets is given below.

We have the following set -  {1, 3, 5, 7, 9, 11, 13}.

We have to write a word description of set.

A set is a collection of elements or members, which can be mathematical objects of any kind for example → numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

According to the question, we have the following set -

{1, 3, 5, 7, 9, 11, 13}

The above set is written in Roster or enumeration notation with the members enlisted between the curly braces. This set consist of 7 elements and each element of this set can be determined using the following rule -

a(n) = 2n - 1

This also represents the set of odd positive integers.

To learn more about sets, visit the link below-

https://brainly.com/question/19257002

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Answer:

[tex]x=63.0^o[/tex]

Step-by-step explanation:

Given

[tex]RS = 35[/tex]

[tex]RT = 77[/tex]

The attached triangle

Required

Solve for x

The relationship between x, RS and RT is:

[tex]\cos(x) = \frac{RS}{RT}[/tex]

This gives:

[tex]\cos(x) = \frac{35}{77}[/tex]

[tex]\cos(x) = 0.4545[/tex]

Take arc cos of both sides:

[tex]x = \cos^{-1}(0.4545)[/tex]

[tex]x=63.0^o[/tex] --- approximated

Answer:

18.189 rows

Step-by-step explanation:

673 / 37 = 18.189189189

Hope this helps!

9514 1404 393

Answer:

  (a)  64/25

Step-by-step explanation:

The relevant properties of exponents are ...

  a^0 = 1 . . . . a ≠ 0

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Your expression simplifies to ...

  [tex]\left(\dfrac{2^3\cdot3^0}{5}\right)^2=\dfrac{2^{3\cdot2}\cdot1^2}{5^2}=\dfrac{2^6}{5^2}=\boxed{\dfrac{64}{25}}[/tex]