Suppose that 45% of all babies in a particluar hospital are boys. If 8 babies born in the hospital are randomly selected, what is the probability that fewer than of them are boys?

Answer:

70 + 95 = 5(14 + 19)

Step-by-step explanation:

To factor the expression, 70 + 95, using the GCF, take the following steps:

✔️Find the prime factors of each number:

Prime factors of 70 = 2 × 5 × 7

Prime factors of 95 = 5 × 19

Multiply the factors that both numbers have in common to get the GCF.

This, both number have only one factor in common which is 5.

Therefore, the GCF of 70 and 95 is 5.

✔️Factoring the experession given using the GCF, we have:

70 + 95 = 5(14 + 19)

Answer:

d

Step-by-step explanation:

Answer: 44 hours.

Step-by-step explanation:

Marisol is being paid $792.

We know that the job took her 8 hours more than she expected, so if we define T as the time she expected, this job took her:

T + 8 hours.

The amount of money per hour that she expected is calculated as:

$792/T = X

And for those 8 extra hours, she won $4 less per hour, then we have:

$792/(T + 8hs) = X - $4

Then we have a system of equations:

$792/T = X

$792/(T + 8hs) = X - $4

To solve this, we can notice that in the first equation X is isolated, then we could replace that in the second equation to get:

$792/(T + 8hs) = $792/T - $4

Now we can solve this for T.

$792 = ($792/T - $4)*(T + 8hs)  = $792 + $792*(8hs/T) - $4*T + $32*hs

0 = $792*(8hs/T) - $4*T + $32*hs

Let´s multiply this both sides by T

0*T = ($792*(8hs/T) - $4*T + $32*hs)*T

0 = $792*8hs - $4*T^2 +$32*T*hs

This is a quadratic equation, where i will write this witout units so it is easier to read and follow:

0 = -4*T^2 + 32*T + 792*8

The solutions cab be found by using the Bhaskara´s formula, these are:

[tex]T = \frac{-32 +- \sqrt[2]{(32^2 - 4*(-4)*(792*8)} }{2*-4} = \frac{-32 +-320}{-8}[/tex]

Then the solutions are:

T = (-32 + 320)/-8 = -36 hours (This is a negative time, and it does not really have a meaning in this problem, so we can discard this option)

The other solution is:

T = (-32 - 320)/-8 = 44 hours.

Then we can conclude that she expected the job would take 44 hours in total.

Answer:

4. The quotient of 0 and a is undefined.

Step-by-step explanation:

Let's examine each statement to see which is true or untrue.

✔️Statement 1:

a is a negative number. b is also a negative number. A negative number dividing another negative number would give us a positive number. That is the quotient of a and b would be positive.

Statement 1 is true.

✔️Statement 2:

Dividing 0 by any number would always give us 0. Therefore the quotient of 0 and c would be 0.

Statement 2 is correct.

✔️Statement 3:

c is a positive number. b is negative number. Positive divided by negative = negative.

Statement 3 is correct.

✔️Statement 4:

Dividing 0 by any number would give us a quotient of 0.

Statement 4 is incorrect. It is incorrect because ⁰/a = 0. But a/0 = undefined.

Answer:

x=1.875   y=-0.875

Step-by-step explanation:

10x-3y=3                     10x-3y=3

3(2x+y)=(9)3                +6x+3y=27

                               1/16(16x)=(30)1/16  = x=1.875

   10x-3y=3                  10x-3y=3

 -5(2x+y)=(9)-5           -10x-5y=4                          

                                    1/-8(-8y)=(7)1/-8 = y=-0.875

Answer:

Steak:$38

Chicken:$24.75

Fish:$16.31

Total:$79.06

Step-by-step explanation:

8 x 3 1/2 = 8 x 7/2 = 56/2 = 28

4 2/4 x 5.50 = 4 2/4 x 5 1/2 = 18/4 x 11/2 = 198/8 = 24 6/8 = 24.75

2 1/4 x 7.25 = 2 1/4 x 7 1/4 = 9/4 x 29/4 = 261/16 = 16 5/16 = 16.312 (round it and get 16.31)

38 + 24.75 + 16.31 = 79.06

Answer:

Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.

x-2=-0.5x+4x−2=−0.5x+4

2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.

x=4x=4

3 Substitute x=4x=4 into y=x-2y=x−2.

y=2y=2

4 Therefore,

\begin{aligned}&x=4\\&y=2\end{aligned}

​

​

​​  

​x=4

​y=2

​​  

Step-by-step explanation:

Answer:

$160

Step-by-step explanation:

A = $1,160.00

I = A - P = $160.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year.

Solving our equation:

A = 1000(1 + (0.04 × 4)) = 1160

A = $1,160.00

The total amount accrued, principal plus interest, from simple interest on a principal of $1,000.00 at a rate of 4% per year for 4 years is $1,160.00.

=============================================

Explanation:

Ignoring the variables for now, the GCF of 18 and 12 is 6. This is the largest factor found in both values

Now let's consider the variables. Both terms have an 'x' in them, but not a y. This means x will be tacked on the 6 we found earlier to get the overall GCF to be 6x.

Note how

18x + 12xy = 6x*3+6x*2y = 6x(3+2y)

Showing we can factor out the GCF using the distributive property.

Yes. Given figure tessellates the plane.

"It is a pattern created with identical shapes which fit together with no gaps."

For given situation,

The figure is a hexagon.

A shape is said to tessellate the plane if the plane can be covered without holes and no overlapping (save for the boundary points) with congruent copies of the shape.

So the figure is tessellates the plane with triangles.

Learn more about tessellation here:

https://brainly.com/question/2033730

#SPJ2

Answer:

11.25

Step-by-step explanation:

Answer:

approximatly $11.25

Step-by-step explanation:

26.25/2.333333 = 11.2500000161

Answer:

x = 13

Step-by-step explanation:

154 + 13 = 167

so 180 minus 167 and you get 13

all interior angels of a tringel should add up to 180

Answer:

5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99 101 103 105 107 109 110 113 115 117 119 121 123 125 127 129 131 133 135 137 139 141 143 145 147 149 151 i think this should do just count them

Answer: b

step-by-step explanation:

Answer:

After the discount $527.12

You save $71.88

Step-by-step explanation:

Answer:

[tex]B.\angle PQS=70[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\QS\ is\ the\ angle\ bisector\ of\ \angle PQR\\\angle PQR=140\\Hence,\\QS\ bisects\ \angle PQR\ into\ \angle PQS\ and\ \angle SQR\ which\ are\ both\ equal.\\Hence,\\\angle PQS\ = \angle SQR\\As\ \angle PQR=\angle PQS\ + \angle SQR\\140=\angle PQS\ + \angle SQR\\As\ \angle PQS\ = \angle SQR [Proven]\\140=\angle PQS\ + \angle PQS\\Hence,\\140=2\angle PQS\\\angle PQS=\frac{140}{2} \\\angle PQS=70[/tex]

Answer:

(-4,2)

Step-by-step explanation:

Just had the test for this thing lol.

so what you do is find the point Y.

then subtract 1 from it's x axis then add 2 to it's y axis.

work

before: (-3,0)

-1. +2

after. (-4,2)

hope this helps!

answer is A

x^3 + 2x^2y + x^2 + y^2 + xy^2

Answer:

answer would be C.

Step-by-step explanation:

mUsing the distributive property.

Answer:

2) 160

3) 320

Step-by-step explanation:

you want to find out the slope so use the formula

y₂-y₁/ x₂-x₁ and plug in the numbers

320-80=240

4-1=3

divide 240/3= 80

multiply 80 * (x) so if we try and find x=2 it would be 160

80 * 3 = 240

check your work by multiplying 80 and 4 (320) which is your y value! hope this helps!

Answer:

30

Step-by-step explanation:

Start by substituting

2(5+3²) +2 = ___

Parenthesis

3²= 3 · 3 = 9

add that to 5 = 14

2(14) +2 = ___

2 times 14 = 28.

28 + 2 = 30

Answer:

30.

Step-by-step explanation:

2(5+ x^2)+ y

x=3, y=2

Using the given information for x and y and distributing that into the equation, the equation becomes:

2(5+ 3^2)+ 2

Now, use order of operations or PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction) to solve the problem.

The answer you should get is 30. :,)

If you are asking for just an arbitraty sequence, here it goes:

[tex]a_n=\{3,-5,-8,1,1,1,1,\dots\}[/tex]

Answer:

365

Step-by-step explanation:

2+3+180+180=

Step-by-step explanation:

Solo te puedo dar respuestas para algunas (lo siento) Los puse en orden, cuadros izquierdos a derechos, de los que no contestaste

3,200,000 -> 3.2x10^6 notacion cientifica

4 x 3 + 9 - 7 = 14

356 / 2 = 178

12^4/12^3 = 12

1448 / 8 = 181

78923 x 13 = 1,025,999

Segundos de 17 minutos es 60 x 17 = 1,020

10^-5 = 0.00001

3^3 = 3 x 3 x 3 = 27

3,561,201 - 104, 308 = 3,456,893

6^3 x 6^ 4 = 279, 936

Siglo actual = siglo 21

Answer:

The theoretical probability would be 25% or 1/4 because there are four sections but in the example the probability of a one being spun was 24%

Step-by-step explanation: