in a certain​ country, the true probability of a baby being a girl is 0.473 . among the next seven randomly selected births in the​ country, what is the probability that at least one of them is a boy ​?

[tex]\dfrac{z-1}3 = \dfrac8{z+1}[/tex]

Eliminate the denominators.

[tex]3(z+1)\cdot\dfrac{z-1}3 = 3(z+1)\cdot\dfrac8{z+1}[/tex]

[tex]z^2 - 1 = 24[/tex]

Solve for [tex]z[/tex].

[tex]z^2 = 25[/tex]

[tex]\boxed{z = \pm5}[/tex]

Well, the directions are laid out for you...

If F = 0.3444…, then 10F = 3.444.... Subtracting F from this gives

10F - F = 3.444… - 0.3444…

9F = 3.1

Solve for F.

F = 3.1/9 = (31/10)/9 = 31/90

so you would enter 90.

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

The midpoint formular used in finding the midpoint of a segment is expressed as;

( [x₁+x₂]/2 , [y₁+y₂]/2 )

Given the data in the question;

Point V(-2,5)

Point Z(3,-17)

Plug these values into the equation above.

( [x₁+x₂]/2 , [y₁+y₂]/2 )

( [(-2) + 3]/2 , [5 + (-17)]/2 )

( 1/2 , -12/2 )

( 1/2, -6 )

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

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Answer:

Step-by-step explanation:

a. f(-3d) = (-3d)^2 - 2(-3d) - 8 = 9d^2 + 6d - 8

b. f(3) = (3)^2 - 2(3) - 8 = 9 - 8 - 8 = 1 - 8 = -7

c. f(2a - 1) = (2a - 1)^2 - 2(2a - 1) - 8 = 4a^2 - 4a + 1 -4a + 2 - 8 = 4a^2 - 8a - 5

d. g(5)= (2(5)+3)/(5^2 -2(5) + 1) = (10 + 3)/(25 - 10 + 1)= 13/15+1= 13/16

e. g(3x)= (2(3x) + 3))/((3x)^2 - 2(3x) + 1))= (6x + 3)/(9x^2 - 6x + 1)

f. g(-4a + 8) = (2(-4a + 8)) +  3/(-4a + 8)^2 - 2(-4a +8) +1))

         (-8a + 16 + 3)/(16a^2 - 32a + 64 + 8a - 16 + 1)

                    (-8a + 19)/(16a^2 - 24a + 49)

21ft = 7yd or 21 feet is equivalent to 7 yards.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

The sentence states an equality between units of length: feet and yards.

From there, we can say that we are asked how many yards are there in 21 feet

Converting feet to inches, we must use the conversion

3 feet = 1 yard

21ft = 21/3 yards

21ft = 7yd

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Answer:

0.82%

Step-by-step explanation:

Answer: 12 cupcakes

Step-by-step explanation:

The square root of 9801 is 99.

√9801 = 99

A number can be obtained by multiplying the square root of that integer by itself.

The equation √y = √y12 can be used to express the square root of any number. In other words, if a number's exponent is 1/2, we must determine the number's square root.

The context of complex numbers can be used to discuss square roots of negative numbers. More broadly, square roots can be taken into account in any situation where the concept of an object's "square" is established. Among other mathematical structures, these include square matrices and function spaces.

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Answer:

-1.96312.. is a real, irrational number while √(-5) is imaginary. There is no value for a root of a negative number

Step-by-step explanation:

You should understand that numbers are naturally classified as real and imaginary. Under the real numbers, they are additionally classified into rational and irrational numbers. Under rational numbers, these possess fractions and integers. Irrational numbers are in decimal forms that cannot be converted to fractions. Thus, the difference between the two is that: -1.96312.. is a real, irrational number while √(-5) is imaginary. There is no value for a root of a negative number.

Answer: B

Step-by-step explanation:

I think it's B because if you solve the x and numbers by themselves then you get 4x-2

2x+3x = 5x

5x-1x= 4x

-5-2 = -7

-7+5= -2

4x-2

Answer:

$150

Step-by-step explanation:

The sale price is $120. We're looking for 80% of the original price, given this sale price.

[tex]120 = .8p[/tex]

[tex]p = 150[/tex]

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$10000\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ t=years\dotfill &20 \end{cases} \\\\\\ A=10000e^{0.11\cdot 20} \implies A=10000e^{2.2}\implies A \approx 90250.14[/tex]

If I want to buy 3 packages of 10 cans it will cost me around $1.4 per can.

It is given that the price of a package of 10 cans of soup = $14

and the price of an individual can = $2

Now, if I want to purchase at least 25 individual cans there can be two possible ways to do this:

Therefore, if I decided to buy 3 packages of 10 cans it will cost me $42 and I will pay $1.4 for each can.

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Answer:

21

Step-by-step explanation:

3.5 x 6 = ?

In order to make 4.5 gallons of orange juice, she will need 12 cartons of concentrated orange juice.

So,

The orange juice concentrate to water ratio is 12:36.

Now, let's call 'x' the amount of concentrated orange juice in 4.5 gallons of orange juice and 'y' the amount of water in the 4.5 gallons of orange juice we have;

We can conclude the following from equations (1) and (2):

x = 1.125 gallons of concentrated orange juice in 4.5 gallons of orange juice:

y = 3.375, the amount of water in 4.5 gallons of orange juice.

As a result, we have;

The number of fluid ounces in a carton is 12 ounces.

In 4.5 gallons of orange juice, x = 1.125 gallons = 144 fluidounces = 12 cartons of concentrated orange juice

Therefore, in order to make 4.5 gallons of orange juice, she will need 12 cartons of concentrated orange juice.

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Answer:

169+345=514

514-169+345

Step-by-step explanation:

Answer:

Step-by-step explanation:

Check that q=514 for the equation q - 345 = 169

q - 345 =  169

q = 169 + 345

q = 514

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

check

514 - 345 = 169

169 = 169

the answer is good

Probability that the mother in this sample had a premature baby given that the mother admitted to smoking is 50 percent.

Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a suggestion is valid. The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 demonstrates difficulty of the occasion and 1 shows conviction.

P (A) is the probability of an event “A”

n (A) is the number of favorable outcomes

n (S) is the total number of events in the sample space

The higher the likelihood of an occasion, the more probable it is that the occasion will happen. A straightforward model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly likely; the likelihood of "heads" approaches the likelihood of "tails"; and since no different results are conceivable, the likelihood of by the same token "heads" or "tails" is 1/2.

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Answer:

2y^2+4y

Step-by-step explanation:

7y^2-5y+9y-5y^2

=7y^2+4y-5y^2

=7y^2-5y^2+4y

=2y^2+4y

The minimum and maximum distance from Earth to the Sun will be 90.7 million miles and 93.80 million miles.

From the information, The average distance from Earth to the Sun is 92.95 million miles. The actual

distance varies from the average by up to 1.55 million miles.

The minimum value will be:

= 92.25 - 1.55

= 90.7 million miles.

The maximum distance will be:

= 92.25 + 1.55

= 93.80 million miles.

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Answer: I believe that the answer is -3x=4y

Step-by-step explanation: I hope this helps and I am sorry if I am wrong.

If at sunset a thermometer had a reading of 4°F and during the night the temperature decreased by 15°F, then after the decrease the total number of degrees that the temperature must change for the thermometer to read 0°F is equal to 11°F.

The total number of degrees that the temperature must change for the thermometer to read 0°F can be determined by using subtraction.

Subtraction can be defined as an act of calculating the difference between numbers or values.

As the temperature decreased by 15°F during the night, the temperature after the decrease can be calculated as follows,

4°F - 15°F = -11°F

The total number of degrees the temperature must change for the thermometer to read 0°F can be calculated as follows,

-11°F + x = 0

x = 11°F

Hence, the temperature must increase by 11°F for the thermometer to read 0°F.

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Answer: 11’F

Step-by-step explanation:

4’F-15’F=-11

-11+11’F=0’F

There is only one value greater than 19, which is 20, indicating that the data set contains one high outlier.

Because the dot plot demonstrates the frequency of each inspection, the total data-set is given by:

The following are the quartiles:

The IQR is calculated as follows:

The high outliers are values that are higher than 1.5 standard deviations above Q3, so the threshold is given by:

Therefore, there is only one value greater than 19, which is 20, indicating that the data set contains one high outlier.

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The correct question is given below:
The following dot plot shows the number of songs on each album in Sal's collection. Each dot represents a different album.

A dot plot with an axis labeled "number of songs" and numbered from 0 to 20 in increments of 1, with 19 points. 4, frequency 1. 7, frequency 1. 8, frequency 2. 9, frequency 2. 10, frequency 4. 11, frequency 1. 12, frequency 2. 13, frequency 2. 14, frequency 1. 16, frequency 1. 18, frequency 1. 20, frequency 1.

Here is the five-number summary for these data:

Five-number summary

min \text{Q}_1Q

1

start text, Q, end text, start subscript, 1, end subscript median \text{Q}_3Q

3

start text, Q, end text, start subscript, 3, end subscript max

444 999 101010 131313 202020

According to the 1.5\cdot \text{IQR}1.5⋅IQR1, point, 5, dot, start text, I, Q, R, end text rule for outliers, how many high outliers are there in the data set?

Choose 1 answer:

Using Permutations, we can calculate, there will be total of 45 ways to play first a beethoven piano concerto and then a beethoven symphony.

When the order of the arrangements counts, a permutation is a mathematical approach that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

Given,

symphonies = 9

piano concertos = 5

So, the ways to play first a beethoven piano concerto and then a beethoven symphony = ⁹P₁ × ⁵P₁

= 45ways

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El área del terreno es igual a 406 metros cuadrados.

El perímetro del terreno es igual a 104 metros.

En esta pregunta tenemos conocimiento de las ecuaciones asociadas a las longitudes de la base y la altura del terreno, cuya forma es rectangular. Inicialmente, determinamos el área del terreno:

A = b · h

A = (20 - 2 · x) · (16 + 10 · x)

A = (20 - 2 · 3) · (16 + 10 · 3)

A = (20 - 6) · (16 + 13)

A = 14 · 29

A = 406 m²

El área del terreno es igual a 406 metros cuadrados.

Ahora, determinamos el perímetro del terreno:

p = 2 · (b + h)

p = 2 · [(20 - 2 · x) + (16 + 10 · x)]

p = 2 · (8 · x + 36)

p = 16 · x + 72

p = 16 · 2 + 72

p = 32 + 72

p = 104 m

El perímetro del terreno es igual a 104 metros.

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The odds of selecting a red 9 is 1/26.

Probability of an event E is represented by P(E)  can be defined as (the number of favorable outcomes) / (Total number of outcomes).

Given the total number of cards in a standard deck = 52

there can be  only two red9 as one 9 from heart and one red from diamond.

So the number of outcome for red 9 =2

the probability of odds of selecting red 9 is [tex]\frac{2}{52}[/tex] which can be further simplified into [tex]\frac{1}{26}[/tex].

Therefore , The odds of selecting a red 9 is 1/26.

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Using scientific notation, it is found that:

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

For this problem, the number is given by:

982.1 m².

In scientific notation, the base has to be a number between 1 and 10(open interval at 10), hence the base has to be divided by 100.

To compensate for the division by 100, the number has to be multiplied by 100 somewhere, which happens when we add 2 to the exponent, as 10² = 100.

Hence:

The number is written as follows: [tex]9.821 \times 10^2[/tex] m².

The significant digits are all the digits that are not zero, and the zeros at the beginning or between other numbers, hence they are:

9, 8, 2 and 1.

Meaning that the number has 4 significant digits.

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Answer:

A $78.50

Step-by-step explanation:

Pennies $2.50

nickels $6.00

dimes $30.00

quarters $40.00

Answer:

what does x = 5

45 + 110 + 25 = 180

Step-by-step explanation:

To get x we multiply which same number is multiplied by both numbers and give the answer for 9x + 22x + 25 = 180

in 9's table we have 9×5=45

in 22's table we have 22×5=110

Now we can check 45 + 110 + 25 = 180

Hence we can conclude that x = 5

Hope it helps!!!

:)

Brainliest pls

Answer:

x = 5

Step-by-step explanation:

Given equation

→ 9x + 22x + 25 = 180

Now the value of x will be,

→ 9x + 22x + 25 = 180

→ 31x = 180 - 25

→ x = 155/31

→ [ x = 5 ]

Hence, the value of x is 5.

Answer: You will have 12 plants in 4 weeks.

Step-by-step explanation: You will 12 plants because you get 3 new plants every week. So 4 weeks times 3 plants each week gives you 12 plants in 4 weeks.