The director of the library believes that 13% of the library's collection is checked out. If the director is right, what is the probability that the proportion of books checked out in a sample of 774 books would be less than 10%

Answer:

$45

Step-by-step explanation:

4 lbs = $18

2 lbs = $9

10 lbs = $45

Answer:

If 4 pounds cost $18. you gotta find the cost of 1 pound

divide 18 by 4 = 4.5

and 4.5 times 10 is: 45

Step-by-step explanation:

$45 dollars for 10 pounds!

Hope this helps!

Pls mark brainliest

The answer fam is........ 30

Answer:

11 Pounds

Step-by-step explanation:

Since it says "about how much" we can round 18.2 to 18 and 7.4 to 7 then we subtract 18-7=11

That means the answer would be 11 pounds.

Hope that helps and have a great day!

Answer:

it is a x= 40 degrees

Step-by-step explanation:

Answer:

D. 8.99

Step-by-step explanation:

You're welcome :)

Answer:

$5.33

Step-by-step explanation:

If there are 3 1/3 lbs of wood and it's $1.60 per lb, then:

Turn the mixed number into an improper fraction first:

3 1/3 = 3/3 + 3/3 + 3/3 + 1/3

        = 10/3

Then, turn 1.60 into an improper fraction too:

1.6 = 1 6/10

     = 1 3/5

     = 5/5 + 3/5

     = 8/5

Then—letting x represent the number of lbs:

8/5x = 8/5 × 10/3

        = (8 × 10)/(5 × 3)

        = 80/15

        = 16/3

To put this in dollar/decimal form, simplify:

16 ÷ 3 = 5.3333333 . . .

          ≈ $5.33

Answer:

50 leaves, 15 turkeys

Step-by-step explanation:

set up an equation

l = leaves

t = turkeys

l = 2t+20

l = 4t-10

2t+20=4t-10

30=2t

15=t (so that means that there would be 15 turkey decorations, but we're not            done yet)

substitute (either equation):

l = 2(15)+20

l = 30+20

l = 50 (so this means there would be 50 leaves)

hope this helps!

Answer:

C

Step-by-step explanation:

It is a negative slope because the y value decreases as the x value increases. It goes down 2 for every three that it goes across, so we can find, using rise over run, that the slope is -2/3

Answer:

Ok so the area of the frame is 18*12 = 216cm^2

Let’s suppose the width of the frame is x

The total area (painting and frame) is (2x+18)(2x+12) and this is equal to 432

4x^2 + 60x + 216 = 432

4x^2 + 60x - 216 = 0

x^2 + 15x - 54 = 0

(x+18)(x-3) = 0

Therefore x = {-18,3}

Since width of the frame has to be positive, the width has to be 3cm Step-

i hope i helped!

Answer:

25%

Step-by-step explanation:

The answer would be 25% because to get your answer you have to

first subtract the original amount by the newest amount which in this case is

96-72=?

After you have subtracted this you will get you answer of 24

96-72=24

Ans than what you do is take the number of how many people left and put it on top of the original amount like this

24/96 so in other words dividing

Than you will get your answer of 25%

Answer:

Prob (Online search or Skip test drive) = 0.69

Step-by-step explanation:

Prob (Online search) = P(OS) = 65% = 0.65

Prob (Skip test drive) = P (STD)  11% = 0.11

Prob (Online search & Skip test drive) = P (OS ⋂ STD) =  7% = 0.07

Prob (Online search or Skip test drive) = P (OS U STD) :-

P(OS) + P (STD) -  P (OS ⋂ STD)  

= 0.65 + 0.11 - 0.07  

= 0.69

Answer:

Range = 13

Mean = 8.3

Variance = 17.61

Step-by-step explanation:

Given the population dataset :

2, 9, 15, 4, 12, 9, 13, 6, 3, 10

1.) Range : (maximum - minimum)

Maximum = 15 ; minimum = 2

Range = (15 - 2) = 13

2.) population mean (μ) :

μ = ΣX / n

n = sample size

μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10

μ = 83 / 10

μ = 8.3

3.) Population variance (s²)

Σ(x - μ)² / n

=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10

s² = 176.1 / 10

s² = 17.61

Answer:

$8,500 in CDs; $11,500 in bonds

Step-by-step explanation:

Let c = amount invested in CDs.

Let b = amount invested in bonds.

"A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs)."

From the total investment, we get this equation.

c + b = 20000

"If the amount invested in bonds is to exceed that in CDs by $3000"

From the details of the amounts, we get this equation.

b = c + 3000

We have a system of equations in two unknowns.

c + b = 20000  Eq. 1

b = c + 3000  Eq. 2

Since Eq. 2 is already solved for b, we will use the substitution method to solve the system of equations.

Substitute b in Eq. 1 with c + 3000.

c + c + 3000 = 20000

2c + 3000 = 20000

2c = 17000

c = 8500

Now substitute c = 8500 in Eq. 2 and solve for b.

b = c + 3000

b = 8500 + 3000

b = 11500

Answer: $8,500 in CDs; $11,500 in bonds

Answer:

50°

Step-by-step explanation:

1) Opposite angles are the same. Therefore,

2x-20=x+15

2x-x=15+20

x=35

2) Put x back in the equation for angle mhj

2(35)-20=50

Answer:

you paid 19.75 dollars

Step-by-step explanation:

Answer:

slope intercept: y=5x-7

Step-by-step explanation:

first you need slope: y2-y1/x2-x1

-12-3/-1-2=

-15/-3=

5

then plug into this formula: y-y1=m(x-x1)

y-3=5(x-2)

y-3=5x-10

y=5x-7

Answer:

0

Step-by-step explanation:

Answer: 5 [tex]\frac{4}{25}[/tex]

Step-by-step explanation:

First, you need to know the orders of opperation. You must solve in this order.

ORDERS OF OPPERATION:

1. Grouping Symbols: ( [ ] )

2. Exponents: [tex]3^{2}[/tex]

3. Multiplication/Division

4. Addition/Subtraction

Now that we know the orders of opperation, let's get started!

1. 3/4 ÷ 1/8 = 6

2. 5/6 - 6 = 5 16/100

3. Simplify.

4. 5 16/100 = 5 4/25

= 5 [tex]\frac{4}{25}[/tex]

Please forgive me if I am wrong. I sure hope this answer helped. :)

The solution of the given expression will be 2/3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 5/6 subtract (1/8 divided by 3/4). The expression can be solved mathematically as below,

E = 5/6 - [ 1/8 ÷ 3/4 ]

E = 5/6 - [ 4 / ( 8 x 3 ) ]

E = 5/6 - 1/6

E = 4/6

E = 2/3

To know more about an expression follow

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Answer:B

Step-by-step explanation:

The coordinates of the image of the rotation of the point Q is:

Q' = (4, 2)

We can see that the original coordinates of point Q are (-4, 0).

If we apply a rotation of 180° about the point (0, 0), it is equivalent to a reflection around the y-axis.

It only changes the sign of the x-component.

Then the image of the rotation is:

Q' = (4, 0)

If you want to learn more about rotations:

https://brainly.com/question/4289712

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Answer:

C -2<=x<=1

Step-by-step explanation:

x-1<0 ===> x<1

x+2<0 ===> x<-2

Answer:

Step-by-step explanation:

Point F is plotted at (5, 4)

Translate ΔABC so that point B maps to point G.

B(1, -1) → G(0, 3)  

Rule for the translation,

(x, y) → [x - 1, y + 4]

By this rule,

Point C will map the point,

C(-1, -2) → C'[(-1 - 1), (-2 + 4)]

             → C'(-2, 2)

A(-4, 0) → A'[(-4 - 1), (0 + 4)]

           → A'(-5, 4)

Now reflect these points across y-axis.

Rule for the reflection across y-axis,    

(x, y) → (-x, y)

Points after reflection will be,

A'(-5, 4) → F(5, 4)

B'(0, 3) → G(0, 3)

C'(-2, 2) → H(2, 2)

Distance formula,

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

AB = [tex]\sqrt{(1+4)^2+(-1-0)^2}[/tex] = [tex]\sqrt{26}[/tex]

BC = [tex]\sqrt{(-2+1)^2+(-1-1)^2}[/tex] = [tex]\sqrt{5}[/tex]

CA = [tex]\sqrt{(-4+1)^2+(-2-0)^2}[/tex] = [tex]\sqrt{13}[/tex]

FG = [tex]\sqrt{(5-0)^2+(4-3)^2} =\sqrt{26}[/tex]

GH = [tex]\sqrt{(2-0)^2+(2-3)^2}=\sqrt{5}[/tex]

HF = [tex]\sqrt{(4-2)^2+(5-2)^2}=\sqrt{13}[/tex]

AB ≅ FG, BC ≅ GH, CA ≅ HF          

By the SSS property Triangle congruence theorem, ΔABC ≅ ΔFGH

Answer:

plug in m

14/2 + 14

7 + 14

21

Step-by-step explanation:

Answer:

The answer is "0.3605".

Step-by-step explanation:

Through 8 welds, every welder have 125 measurements, that overall amount of measurements.  

N= 125(8) = 1000  

The 96 percent level of trust

[tex]Z_{\frac{\alpha}{2}} =2.05\\\\\hat{\sigma}_{p} = \sqrt{\frac{0.33 (0.67)}{1000}}\\\\[/tex]

    [tex]=\sqrt{ \frac{0.2211}{1000}}\\\\=\sqrt{0.0002211}\\\\=0.01487[/tex]

[tex]\hat{P_2} - Z_{\frac{\alpha}{2}} \hat{\sigma}_{p} = 0.33 -2.05 (0.01487)\\\\[/tex]

                  [tex]= 0.33-0.0305\\\\=0.2995[/tex]

[tex]\hat{P_2} + Z_{\frac{\alpha}{2}} \hat{\sigma}_{p} = 0.33 +2.05 (0.01487)[/tex]

                  [tex]= 0.33+0.0305\\\\=0.3605[/tex]

Answer:

f(x)=50x+100

a)rate of change is 50

b)y-intercept is 100

c)x represents the no. of weeks

f(x) represents the  the total cost for x weeks.

d)f(12)=700

e)Cost and week cannot be negative

Step-by-step explanation:

Sign up fee at daycare = $100

Cost of 1 week = 50

Cost of x weeks = 50 x

So, Total cost = 100+50x

Thus f(x)=50x+100

a)

General equation : y=mx+c

m = slope = rate of change

On comparison

m = 50

So, rate of change is 50

50 is the cost of daycare per week

b)

y intercept : y intercept is a point where a line 's graph intersects (crosses) the Y-axis i.e. x=0

Substitute x = 0 in equation

f(x)=50(0)+100

f(0)=100

So, y-intercept is 100

$100 is a signup fee

c)

x represents the no. of weeks

f(x) represents the  the total cost for x weeks.

d)

Substitute x = 12

So, Cost for a baby to attend daycare for 12 weeks:

f(12)=50(12)+100

f(12)=700

e)

f(-3)=50(-3)+100=-50

Here it is asking about negative 3 weeks which is not possible

Since no. of weeks cannot be negative

On solving we are getting the negative total cost

Cost and week cannot be negative

greater than.

mistype

Answer:

It is greater than -50

Step-by-step explanation

Since that -45 is more closer to 0, It will greater than -50.

Answer:

(13, -10, -7)

Step-by-step explanation:

Given

x+y+z=−4 .................. 1

2x+3y−2z=10 .................... 2

−x+2y−3z=−12 ................... 3

Reduce the equation to two equations, two unknowns:

Add eqn 1 and 3

y+2y+(z-3z) = -4-12

3y - 2z = -16 .......... 4

Also multiply eqn 3 by 2:

−2x+4y−6z=−24 ................... 5

Add 2 to 5:

3y+4y+ (-2z-6z) = 10-24

7y-8z = -14 ............... 6

Equate 4 and 6

3y - 2z = -16 .......... 4 * 4

7y-8z = -14 ............... 6 * 1

...............................................

12y - 8z = -64

7y-8z = -14

Subtract the resulting equations

12y-7y = -64+14

5y = -50

y = -50/5

y = -10

Substitute y = -10 into equation 4 to get z:

3y - 2z = -16

3(-10)-2z = -16

-30-2z = -16

-2z = -16+30

-2z = 14

z = 14/-2

z = -7

Substitute y = -10, z = -7 into eqn 1 to get x:

x+y+z = -4

x-10-7 = -4

x-17 = -4

x = -4+17

x = 13

Hence (x, y, z) is (13, -10, -7)