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3 years ago

Subtract. −9 1/3−(−1 1/3) Enter your answer, in simplest form, in the box.

Mathematics

2 answers:

zimovet [89]3 years ago

8 0

Answer:

Answer is 8 .

Step-by-step explanation:

Given: $-9\frac{1}{3} -(-1\frac{1}{3})$ .

To find: Subtract in simplest form .

Solution: We have given that

$-9\frac{1}{3} -(-1\frac{1}{3})$ .

Convert the mixed fraction into improper fraction

$\frac{-28}{3} -(\frac{-4}{3})$ .

Now taking the denominator common

$\frac{-28+4}{3})$ .

$\frac{-24}{3})$ .

= 8

Therefore , answer is 8 .

lbvjy [14]3 years ago

4 0

-9 1/3 - (- 1 1/3) =
-9 1/3 + 1 1/3 =
-8 <==

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Which fractions are equivalent to 40%? Check all that apply

Lina20 [59]

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3 years ago

Read 2 more answers

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink

ddd [48]

Answer:

Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.

Step-by-step explanation:

Let, the company make x liters of drink A

The company makes drink B of (80+x) liter. Since the company make 80 more liters of Drink B than liters Drink A .

Given drink A contains 20% real fruit.

Therefore x liters of drink A contains $=\frac{20}{100}\times x$ liters $=\frac{x}{5}$ liters real fruit.

Drink B contains 5% real fruit juice.

(80+x) liters of drink B contains $=\frac{5}{100}\times (80+x)$ liters $=\frac{80+x}{20}$ liter real fruit.

The company used 56.5 liters of real fruit juice to make Drink A and Drink B.

According to the problem,

$\frac{80+x}{20}+\frac{x}{5}= 56.5$

$\Rightarrow \frac{80+x+4x}{20}=56.5$

⇒80+5x = 56.5×20

⇒80+5x=1130

⇒5x=1130-80

⇒5x=1050

$\Rightarrow x=\frac{1050}{5}$

⇒x=510

Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.

4 0

4 years ago

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 76.676.6

faltersainse [42]

Answer:

Step-by-step explanation:

Researchers measured the data speeds for a particular smartphone carrier at 50 airports.

The highest speed measured was 76.6 Mbps.

n= 50

X[bar]= 17.95

S= 23.39

a. What is the difference between the carrier's highest data speed and the mean of all 50 data speeds?

If the highest speed is 76.6 and the sample mean is 17.95, the difference is 76.6-17.95= 58.65 Mbps

b. How many standard deviations is that [the difference found in part (a)]?

To know how many standard deviations is the max value apart from the sample mean, you have to divide the difference between those two values by the standard deviation

Dif/S= 58.65/23.39= 2.507 ≅ 2.51 Standard deviations

c. Convert the carrier's highest data speed to a z score.

The value is X= 76.6

Using the formula Z= (X - μ)/ δ= (76.6 - 17.95)/ 23.39= 2.51

d. If we consider data speeds that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?

The Z value corresponding to the highest data speed is 2.51, considerin that is greater than 2 you can assume that it is significant.

I hope it helps!

3 0

4 years ago

Write an equation in point slope from for the line through the given point which the given slope

shusha [124]

The equation in point slope is $y-3=6(x-8)$ which is mentioned in option C If the line through the given point which the given slope (8,3), m=6.

Step-by-step explanation:

The given is,

The point - ( 8,3 )

Slope, m = 6

Step:1

Formula for slope of line is,

$Slope,m=\frac{y_{2}-y_{1} } {x_{2}- x_{1} }$ ..................(1)

Here, $(x_{1} ,y_{1} )$ and $(x_{2} ,y_{2} )$ are points and slope (m)

Step:2

From given,

$(x_{1} ,y_{1} )$ - (8, 3)

$(x_{2} ,y_{2} )$ - (x, y)

Substitute the values of points and slope in the equation (1),

$6=\frac{y-8 } {x- 3 }$

Take ( ${x- 8 }$ ) in left side,

$6(x-3)=(y-3)$

$(y-3)=6(x-3)$

Result:

The equation in point slope is $y-3=6(x-8)$ which is mentioned in option C If the line through the given point which the given slope (8,3), m=6.

8 0

3 years ago

Am I correct? It's important that I get the right answer, so if I'm wrong please tell me what I did wrong

poizon [28]

Since n=5, take the 6th row of Pascal Triangle: (a+b)⁵:

(a+b)⁵ = a⁵+5a⁴b+10a³b²+10a²b³+5ab⁴+b⁵.

But a= 2x and b=y, plug in:

(2x)⁵ + 5(2x)⁴y + 10(2x)³y² + 10(2x)²y³ + 5(2x)y⁴ +y⁵

32x⁵ + 80x⁴y +80x³y² + 40x²y³ + 10xy⁴ + y⁵

The 3rd term has a:
coefficient = 80
power of x= 3
power of y =2

6 0

3 years ago