Evaluate the expression. Write the result in simplest form. (Do not enter a mixed number.) 3 3/4 + 9 7/8

Answer:

r = 6

Step-by-step explanation:

34 = 7r - 8

+8 .       +8  

42 = 7r

__ .  __

7 .     7

6 = r  

Answer:

47°

Step-by-step explanation:

Given that m<NLO = 41°, and m<NLM = 88°, according to angle addition postulate, m<OLM + m<NLO = m<NLM

Therefore, subtracting m<NLO from both sides will give us:

m<OLM = m<NLM - m<NLO

m<OLM = 88° - 41°

m<OLM = 47°

Answer: 50 grams

Step-by-step explanation:

11=0.22 a

A =50

Answer:

i think the answer is b by far

Answer:B

Step-by-step explanation : DEF will be reflected across a line such that all of vertices of triangle D’E’F are in there own quadrant ways. The line of reflection is used to form triangle D’E’F’.

The line of reflection is  (B. x = 0 )

Answer:

it has to be 45.1.

Step-by-step explanation:

The reason why its 45.1 is because I added the equation all together including the negative number. I out that one in parentheses right next to the plus sign of 18.6. then added the last 2 numbers. and get 45.1. I'm not really good with stop by step explanations to be honest.

:(

Answer:

16p

Direction: positive/upward direction

Step-by-step explanation:

First, the function is f(x,y) = 4ypx

At the point where x=4 and y=1, the maximum rate of change of the function f(x,y) is

4(1)p(4) = 16p

The direction in which it occurs is the positive(upward) direction

Answer:

2/17

Step-by-step explanation:

Given, [tex] \frac{16}{17} - \frac{14}{17} [/tex], to find the difference, first look for the common denominator of both fractions.

Common denominator of both fractions is 17.

Divide the common denominator by the denominator of each fraction, then multiply the result by its numerator and solve as follows:

[tex] \frac{1(16) - 1(14)}{17} [/tex]

[tex] \frac{16 - 14}{17} [/tex]

[tex] \frac{2}{17} [/tex]

The answer is 2/17

[tex] \frac{16}{17} - \frac{14}{17} [/tex] = 2/17

Answer:

a) 1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k!

b) 1 - ∑^(80x/d)_k=0 ((e^-λ) × λ^k) / k!

c) ∑²⁰ˣ_k=0 (3^k)/k! = 0.99e³

Step-by-step explanation:  

Given that;

if n ⇒ ∞

p ⇒ 0

⇒ np = Constant = λ,  we can apply poisson approximation

⇒ Here 'p' is small ( p=0.01)

⇒ if (n=large) we can approximate it as prior distribution

⇒ let the number of defective items be d

so p(d) = ((e^-λ) × λ) / d!

NOW

a)

Let there be x number of repairs, So they will repair 20x machines on time. So if the number of defective machine is greater than 20x they can not repair it on time.

λ[n0.01]

p[ d > 20x ] = 1 - [ d ≤ 20x ]

= 1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k!

b)

Similarly in this case if number of machines d > 80x/3;

Then it can not be repaired in time

p[ d > 80x/3 ]

1 - ∑^(80x/d)_k=0 ((e^-λ) × λ^k) / k!

c)

n = 300, lets do it for first case i.e;

p [ d > 20x } ≤ 0.01

1 - ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k! = 0.01

⇒ ∑²⁰ˣ_k=0 ((e^-λ) × λ^k) / k! = 0.99

⇒ ∑²⁰ˣ_k=0 (λ^k)/k! = 0.99e^λ

∑²⁰ˣ_k=0 (3^k)/k! = 0.99e³

Answer:

p = 8.8d + 16

Step-by-step explanation:

P=2(l+w)

p = 2((4.4d - 4.3) + (7.60 +4.7))

p = 8.8d + 16

Answer:

C. Integer

Step-by-step explanation: Since the square root of 144 could either be -12 or 12, so it is an integer.

Answer:

michelle made more money

Step-by-step explanation:

Answer:

[tex]23-4\sqrt{15}[/tex]

Step-by-step explanation:

So we want to simplify:

[tex](2\sqrt5-\sqrt3)^2[/tex]

Note that this is in the format:

[tex](a-b)^2[/tex]

And we know that this is the same as:

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Let 2√5 be a and let √3 be b. Thus:

[tex](2\sqrt5-\sqrt3)^2\\=(2\sqrt5)^2-2(2\sqrt5)(\sqrt3)+(\sqrt3)^2[/tex]

Simplify:

[tex]=(4(5))-4(\sqrt5)(\sqrt3)+(3)\\=20-4\sqrt{15}+3\\=23-4\sqrt{15}[/tex]

And this cannot be simplified any further.

Answer: -4s-8.5

Step-by-step explanation:

-(4s+8.5)

you need to change all the signs in the parentheses that is after a negative (-) sign.

-4s-8.5

since the signs of 4s and 8.5 are all positive (+), we need to change it to its opposite which is negative (-)

Hope this helps!! :)

Please let me know if you have any question

Answer:

43 and 5

Step-by-step explanation:

Let's let the two unknown numbers be a and b.

Their sum is 48, therefore:

[tex]a+b=48[/tex]

And their difference is 38. In other words:

[tex]a-b=38[/tex]

We now have a system of equations. To solve, we can use substitution. First, add b to both sides in the second equation:

[tex]a=38+b[/tex]

Substitute this into the first equation:

[tex](38+b)+b=48[/tex]

Combine like terms:

[tex]2b+38=48[/tex]

Subtract 38 from both sides:

[tex]2b=10[/tex]

Divide both sides by 2:

[tex]b=5[/tex]

So, one of the numbers is 5.

The sum of them is 48. Therefore, the other number is 48-5 or 43.

So, our two numbers are 43 and 5.

And we're done!

Answer:

5 and 43

I hope this helps!

Answer:

terminating decimals

Step-by-step explanation:

All of the fractions (4/5, 1/2) can go into 100 so they are all termination

and 34.2 is a terminating decimal.

12 is also terminating

Answer:

Step-by-step explanation:

[tex]2\sqrt{8}+\sqrt{8}\\\\\mathrm{Add\:similar\:elements:}\:2\sqrt{8}+\sqrt{8}=3\sqrt{8}\\\sqrt{8}=2\sqrt{2}\\\\=3\times\:2\sqrt{2}\\\\=6\sqrt{2}[/tex]

Answer:

0.0792

Step-by-step explanation:

Probability is the likelihood that an event is going to occur. The formula for probability is:

Probability = number of favorable outcomes / total number of outcomes.

Normally in a year there are 365 days and in the month of February there are 28 days but during a leap year there are 366 days in the year and 29 days in the month of February.

Probability that a selected day of a leap year is in February = 29 / 366 = 0.0792

The probability that a selected day of a leap year falls in February is 0.0792

Answer:

3.5 cm

Step-by-step explanation:

Given the question:

A circular arc has measure 8 cm and is intercepted by a central angle of 2.3 radians. Find the radius of the circle. Do not round any intermediate computations, and round your answer to the nearest tenth.

Central angle in radian (θ) = 2.3 radian

Length of arc (s) = 8cm

Recall:

Length of arc (s) = radius (r) × central angle (θ)

8cm = radius × 2.3 rad

radius = 8 / 2.3

Radius = 3.478 cm

Radius = 3.5 cm

Answer:

y = -5x + 1

Step-by-step explanation:

Y= mx +b

m = slope

b = y-intercept

y =  -5x + 1

Answer:

y = -5x + 1

Step-by-step explanation:

Seeing the words "slope" and "y-intercept," I jump immediately to the slope-intercept form of the equation of a straight line:  y = mx + b.

Here we have m = -5 and b = 1:

y = -5x + 1

Answer:

36.15 miles, 12.05 miles on one gallon

Step-by-step explanation:

4hours=144.6 miles

1 hour= x

Therefore it traveled 36.15 miles per hour.

12 gallon = 144.6 miles.

1 gallon = x

12.05 miles on one gallon

Answer:

5 Green earrings

Step-by-step explanation:

Given that:

Total amount held = $51

Cost per pair of green earrings = $9

One time shipping fee = $6

How many pairs of green earrings did grace purchase?

Let the number of green earrings purchased = g

Then,

$9*g + $6 = $51

$9g + $6 = $51

$9g = $51 - $6

$9g = $45

g = $45 / $9

g = 5

Hence, the number of green earrings purchased = 5

Answer: D. The data are continuous because the data can take on any value in an interval.

Step-by-step explanation: When distinguishing between quantitative variables, they could be classed as either discreet or continuous. This difference between a discreet and continuous variable lies in whether the variable has a finite number of values or not. When a variable can only take up a certain number of values usually while numbers within a certain interval, then such varibak eis said to be finite. On the other hand variables which can take up any value within an interval are said to be continuous as they can take up an uncountable number of values within an interval. When weight is being recorded, it could take up an infinite number of values including decimal within an interval making it difficult to ascertain the number of possible values within the interval.

4(x + 2) = 26

(x + 2) = 26/4

x + 2 = 6.5

x = 4.5

Answer:

(x - 5)(x - 3)

Step-by-step explanation:

Step 1: Write out expression

x² - 8x + 15

Step 2: Factor

(x - 5)(x - 3)

The value of the number falls as the denominator rises, and the product of 1/4 and 1/5 is smaller than each factor.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The complete question is:

Why is the product of 1/4×1/5 less than each factor

It is given that:

Two fractions are given:

1/4 = 0.25

1/5 = 0.20

1/5 < 1/4

The product of the two fractions: 1/4 and 1/5

= (1/4)(1/5)

= 1/20

Because the value of the number falls as the denominator rises, the product of 1/4 and 1/5 is smaller than each factor.

Thus, the value of the number falls as the denominator rises, and the product of 1/4 and 1/5 is smaller than each factor.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

[tex] x^2 - 12x [/tex]

Step-by-step explanation:

The given rectangle had a length (l) of (x - 12), and a width (w) of x.

Area of rectangle = [tex] l * w [/tex]

Therefore, the expression representing the are if the given rectangle is:

[tex] Area_{rectangle} = (x - 12)*x [/tex]

[tex] Area_{rectangle} = x*x - 12*x [/tex]

[tex] Area_{rectangle} = x^2 - 12x [/tex]

The expression for the area = [tex] x^2 - 12x [/tex]

Answer:

26 as a binary number is 11010

Answer:

Step-by-step explanation:

Let A,B, and C be the respective events that the first, second, and third drawn orange is good.

Therefore, probability that first drawn orange is good, P(A)=

15

12

​

The oranges are not replaced.

Therefore, probability of getting second orange good, P(B)=

14

11

​

Similarly, probability of getting third orange good, P(C)=

13

10

​

The box is approved for sale if all the three oranges are good.

Thus, probability of getting all the oranges good =

15

12

​

×

14

11

​

×

13

10

​

=

91

44

​

=0.48

Therefore, the probability that the box is approved for sale is 0.48

Answer:i

i) 7/15

ii) 7/15

Step-by-step explanation:

total: 10

good: 7

bad: 3

i) both are good

p(both good) = 7/10 * 6/9 = 42/90 = 7/15

ii) one good & one bad

p(first good & second bad) = 7/10 * 3/9 = 21/90 = 7/30

p(first bad & second good) = 3/10 * 7/9 = 21/90 = 7/30

p(one good & one bad) = 7/30 + 7/30 = 14/30 = 7/15