how many 5/8 pound bags does it take to get 16 pounds of soil?

Step-by-step explanation:

112=35+d

112-35=d

d=77

hope it helps u

Answer:

a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.

The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

Question b:

90% confidence interval means that [tex]Z = 1.645[/tex]

The margin of error is:

[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]

43.78 - 1.701 = 41.079%

43.78 + 1.701 = 45.481%

The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

50 millimeters

keystrokes

Answer:

d.

Step-by-step explanation:

Let's examine each statement:

Option A: m<CUD = m<VUM (CORRECT)

Rationale: vertical angles are congruent to each other.

Option B: m<AUV + m<DUA = 180 (CORRECT)

Rationale: angles on a straight line

Option C: m<MUC - m<MUD = m<CUD (CORRECT)

Rationale:

m<MUC = m<MUD + m<CUD

Subtract m<MUD from each side

m<MUC - m<MUD = m<CUD

Option D is FALSE

Rationale:

m<PUD + m <VUP = 180° (angles on a straight line)

m<PUM + m<CUA ≠ 180°

Therefore,

m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.

Answer:

A

area = 256 inches²

side = √256 = 16 inches

B

0.0063 inch = 6.3 × 10^-3

Answer:

Slope

Step-by-step explanation:

Hope it helps you in your learning process

Answer:

[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]

Step-by-step explanation:

We want to evaluate the limit:

[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}[/tex]

To do so, we can divide everything by x². So:

[tex]=\displaystyle \lim_{x\to \infty}\frac{3+4.5/x^2}{1-1.5/x^2}[/tex]

Now, we can apply direct substitution:

[tex]\Rightarrow \displaystyle \frac{3+4.5/(\infty)^2}{1-1.5/(\infty)^2}[/tex]

Any constant value over infinity tends towards 0. Therefore:

[tex]\displaystyle =\frac{3+0}{1+0}=\frac{3}{1}=3[/tex]

Hence:

[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]

Alternatively, we can simply consider the biggest term of the numerator and the denominator. The term with the strongest influence in the numerator is 3x², and in the denominator it is x². So:

[tex]\displaystyle \Rightarrow \lim_{x\to\infty}\frac{3x^2}{x^2}[/tex]

Simplify:

[tex]\displaystyle =\lim_{x\to\infty}3=3[/tex]

The limit of a constant is simply the constant.

We acquire the same answer.

Step-by-step explanation:

The given quadratic equation is :

[tex]13x^2 +1 = -10x\\\\or\\\\13x^2+10x+1=0[/tex]

The formula to solve a quadratic equation is :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Put a = 13, b = 10 and c = 1

So,

[tex]x=\dfrac{-10\pm \sqrt{10^2-4(13)(1)} }{2(13)}\\\\x=-0.118, -0.651[/tex]

Hence, this is the required solution.

Answer:

i think it is 47

Step-by-step explanation:

Answer:

$10.50

Step-by-step explanation:

50-[5.50+8(3)+10] =

50-39.50=

10.50

Answer:

$6.00

first multiply eight and three then add the two things joe bougth. then the answer minus 50

Answer:

Step-by-step explanation:

what are we looking for?/

Answer:

Angle BOD = 75⁰

Step-by-step explanation:

Answer attached...

Hope it helps :)

Answer:

I think it is 75

Step-by-step explanation:

because you divide 45 by 3 to get 15 then 15 x 5 is 75:)

Answer:

blank space=[tex]\frac{31}{2}[/tex]+[tex]\frac{13i}{2}[/tex]

The empty boxes which make the equation true are (22 -3i) - (15 + 9i)

= 7 - 12i.

As the name suggests it is a combination of real numbers and imaginary numbers.

A complex number (a + ib) where a is the real part and b is the imaginary part.

'i' here is called iota and i = √-1, i² = - 1, i³ = - i and i⁴ = 1.

Given,  (_ -3i) - (15+_i) = 7 - 12i.

Assuming the real number to be 'a' and the imaginary number to be 'b'.

∴ (a - 3i) - (15 + bi) = 7 - 12i.

a - 3i - 15 - bi = 7 - 12i.

On comparing the real and imaginary parts we get,

a - 15 = 7.

a = 22,

- 3i - bi = - 12i.

- bi = - 9i.

b = 9.

learn more about complex numbers here :

https://brainly.com/question/10251853

#SPJ2

Answer: thier salaries are $5000 and $5500

Step-by-step explanation:

Let the average weekly salary of one employee be =x

And that of the other employee be = x+500

Such that if thier average of their salaries= $5250

So, their total salary=  $5250 x 2=10,500

The  equation  to solve each employee salary becomes

x+x+500=10,500

2x+500=10,500

2x=10,500-500

2x=10,000

x=10,000 /2

x= first employee salary =$5000

second employee =   x+500 =$5500

Answer:

exponential decay

Step-by-step explanation:

the y coordinates are getting smaller while x gets bigger so for 1x y is .5 then .25 then .125 etc..

Answer:

A

Step-by-step explanation:

look it carefully.

Answer:

X= 5

Y= 2

Y-X= 2-5= -3

Answer:

the answer the 10.25 u move both decimals over and move it up to the top and divide like normal

Answer:

C) The figures are congruent.

Step-by-step explanation:

Given

Translation and rotation on a figure

Required

Select the true option

Rotation and translation are rigid transformation and as such they do not change the size of the figure being transformed.

The implies that, the figure being transformed and the resulting figure will have the same dimension and the same angle measure.

(c) is correct

Answer:

c

Step-by-step explanation:

Answer:

The monthly loan payment is of $458.88.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Amount owed after 5 years:

Loan of 24000 means that [tex]P = 24000[/tex]

5 years means that [tex]t = 5[/tex]

Interest rate of 2.75% means that [tex]r = 0.0275[/tex]

Compounded monthly means that [tex]n = 12[/tex]

The amount is A(5). So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]

[tex]A(5) = 27533[/tex]

What is your monthly loan payment?

$27,533 in 5 years = 5*12 = 60 months. So

27533/60 = 458.88

The monthly loan payment is of $458.88.

Answer:

yo

Step-by-step explanation:

jy

Answer:

6

Step-by-step explanation:

Answer:

(x^3 +8)/(x+2) = x^2 -2x +4

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

The cross-section cut by the plane yields a quadrilateral with length and width equal to the length and width of the face that is parallel to the plane.

Answer:

4/10, 6/15, 8/20

Step-by-step explanation: