If R is the midpoint of QS, find QS. QR=2x+16 RS=5x-17

Answer: [tex]\mu=15.64[/tex]

Step-by-step explanation:

Let x be a random variable that represent the amount dispensed by a soft-drink dispensing machine which has a normal distribution with mean μ and standard deviation [tex]\sigma=[/tex] 0.155 ounce.

To find : μ such that P(X>16)=0.01

Consider  P(X>16)=0.01

[tex]P(\dfrac{X-\mu}{\sigma}>\dfrac{16-\mu}{0.155})=0.01[/tex]

Since, [tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

Also, z-table , one -tailed z-value for p-value of 0.01= 2.326

Then, [tex]\dfrac{16-\mu}{0.155}=2.326[/tex]

[tex]\Rightarrow {16-\mu}=0.155\times2.326\\\\\Rightarrow {16-\mu}=0.36053\\\\\Rightarrow\ \mu=16-0.36053=15.63947\approx15.64\\\\\Rightarrow\ \mu=15.64[/tex]

Answer:

Except for -1 (12w - 6).

Answer:is it 40.6 billion tonnes of carbon dioxide

Step-by-step explanation:

Answer:

f−1(x)=√6(x+4)6,−√6(x+4)6

Plz let me know if im wrong!!!

Answer:

are u sure this is written correctly?

Answer:

8.125

Step-by-step explanation:

He jogged over 8 miles so he needs to stop jogging he already completed his goal.

Answer:

5

Step-by-step explanation:

5(1) = 5

Answer:

5

Step-by-step explanation:

There is no x so we only replace y with 1

5(1)=5*1=5p

Answer:

it's the 2nd one

Step-by-step explanation:

its 1/3

Answer:

x = -12

Step-by-step explanation:

This is a vertical line, so the equation will be of the form x = k, where k is any x-value.

The conclusion that x = -12 was found because the x-value in the point was -12.

Answer: D

Step-by-step explanation:

A: -16 < -4

B: 40 > 8

C: -45 < 15

D: 35 > -20

E: Reverse

Since one yard is equivalent to three feet, you can multiply the number of yards by 3 to convert from yards to feet. 36 feet are equal to 12 yards times 3 feet per yard. Consequently, 12 yards are equal to 36 feet.

A unit of length equivalent to 3 feet, or around 0.914 metres.

Both the US Customary and British Imperial Systems of Measurement use yards as a measure of length. Yd is its symbol. The length of medium-sized objects is frequently measured using it.

About half the length of a bed is a yard. wider than a huge refrigerator. the elevation of a countertop.

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Answer:

P = - 0.1x+520

Step-by-step explanation:

Finding the demand function p ( x ) , where x is the number of the television sets sold per week.

each $25 rebate offered to the buyer, the number of sets sold will increase by 250 , hence slope = -25/250 = -1/10 Equation will be

P-390/x-1300 = -25/250

Cross multiplying

250(P-390) = -25(x-1300)

250p-97500 = -25x+32500

250p = -25x+32500+97500

250p = -25x + 130000

Divide both sides by 250

250p/250 = (25x + 130000)/250

P = - 0.1x+520

Hence, the demand function p(x) is

= - 0.1x+520

Answer:

[tex] \frac{15 {x}^{6}}{3 {x}^{2} } = 5 {x}^{4} [/tex]

Answer:

Step-by-step explanation:

in this problem, we are expected to use commination to arrive at a solution

Given data

number of employee= 25

number of team=3

The expression for combination is given as

C(n,r)=(nr)=n!/(r!(n−r)!)

C(25,3)=25!/(3!(25−3)!)

C(25,3)=25!/(3!(22!)

C(25,3)=25*24*23*22!/3!(22!)

C(25,3)=25*24*23*/3!

C(25,3)=25*24*23*/3*2*1

C(25,3)=25*24*23*/6

C(25,3)=13800/6

C(25,3)=2300 ways

The number of ways where a store manager arranges a group is 50,600.

Given that,

Based on the above information, the calculation is as follows:

[tex]= ^25C_4 \times 4C_1\\\\= \frac{25!}{4!(25-4)!} \times \frac{4!}{1!(4-1)!} \\\\= \frac{25!}{4! \times 21!} \times \frac{4!}{1! \times 3!} \\\\= 12,650 \times 4[/tex]

= 50,600

Therefore we can conclude that the number of ways where a store manager arranges a group is 50,600.

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Answer:

MON= 15

Step-by-step explanation:

9x+44+6x+3=77

15x+47=77 subtract 47 from both sides

15x=30 divide both sides by 15

x=2

6x+3

(6*2)+3

12+3=

15

Hope this helps

The area of a shape is the amount of space on the shape.

The best approximation for the area of the figure is [tex]14 + 16.25\pi[/tex]

Start by calculating the diameter of the semicircle using the following distance formula:

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

So, we have:

[tex]d = \sqrt{(-4 -3)^2 +(-2 -2)^2}[/tex]

[tex]d = \sqrt{65}[/tex]

Divide by 2, to calculate the radius

[tex]r = \frac{\sqrt{65}}{2}[/tex]

So, the area of the semicircle is:

[tex]A = \frac{\pi r^2}{2}[/tex]

This gives

[tex]A = \pi (\frac{\sqrt{65}}{2})^2[/tex]

[tex]A = \frac{65}{4}\pi[/tex]

[tex]A = 16.25\pi[/tex]

Next, we calculate the area of the triangle using:

[tex]A = 0.5 * B * H[/tex]

Where:

[tex]B = 3 -(-4)[/tex]

[tex]B = 7[/tex]

[tex]H= 2 - (-2)[/tex]

[tex]H = 4[/tex]

So, we have:

[tex]A = 0.5 * 7 * 4[/tex]

[tex]A = 14[/tex]

The area of the figure is then calculated as:

[tex]A = 14 + 16.25\pi[/tex]

Hence, the best approximation for the area of the figure is [tex]14 + 16.25\pi[/tex]

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D: -6x +6

Step-by-step explanation: Told ya.............

Answer: the divergence of the vector fields at all points its defined is 0

Step-by-step explanation:

Given that;

div ( [x / (x²+ y² + z²)^1.5]i  +  [y / (x² + y² + z²)^1.5]j  +  [z / (x² + y² + z²)^1.5]k )

= d/dx [x / (x²+ y² + z²)^1.5]  +  d/dx [y / (x² + y² + z²)^1.5] +  d/dx [z / (x² + y² + z²)^1.5]

= [1 / (x²+ y² + z²)^1.5] - [3x² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3y² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3z² / (x²+ y² + z²)^2.5]

= [3 / (x²+ y² + z²)^1.5]  -  [(3x² + 3y² +3z²) / (x²+ y² + z²)^2.5]

= [2 / (x²+ y² + z²)^1.5]   -   [3 / (x²+ y² + z²)^1.5]  = 0

therefore the divergence of the vector fields at all points its defined is 0

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed

Answer:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

Step-by-step explanation:

Answer:

$182

Step-by-step explanation:

Let x be the number of students going  

Let y be the total cost  

Then,  

7x=y  

7(26)=y  

$182=y  

Therefore, the total cost would be $182 for 26 students to go.

Hope this gives you an A

Answer:

expression: 7 × (S which is 26)

Total cost: 182

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

since the triangle is the same on both sides, if one side is 16 then the other side is the same.

Answer: A 95% lower confidence bound for the mean capacity of this type of battery = 175.85

Step-by-step explanation:

Given: The capacities were measured for a sample : n= 120 batteries.

[tex]\overline{x}=178[/tex] and  [tex]\sigma=12[/tex]

lower confidence bound= [tex]\overline{x}-z^c\times\dfrac{\sigma}{\sqrt{n}}[/tex]

Critical z value for 9%% confidence = 1.96

So,  a 95% lower confidence bound for the mean capacity of this type of battery will be :

[tex]178-(1.96)\dfrac{12}{\sqrt{120}}\\\\=178-(1.96)(1.0954451)\\\\=(1.96)(1.0954451)\approx175.85[/tex]

Hence, a 95% lower confidence bound for the mean capacity of this type of battery = 175.85

Answer:

33.33% or [tex]\frac{2}{6}[/tex]

Step-by-step explanation:

A single die has a total of six different possible outcomes (1, 2, 3, 4, 5, 6). Since the numbers two and five are only two of the six possible outcomes that means that the possibility of getting one of these two numbers on a single roll is [tex]\frac{2}{6}[/tex] . If we divide this fraction and multiply the result by 100 (0.333 * 100 = 33.33) we see that there is a 33.33% chance of you rolling either a two or a five.

It should be noted that when Andre and Elena are solving this system of equations, the first step is correct but the others are wrong.

It should be noted that an equation is used.to show the relationship between the expressions that are given.

It should be noted that Andre and Elena are solving this system of equations: y=3x, y=9x−30.

This will be equated to this:

3x = 9x - 30

Collect like terms

9x - 3x = 30

6x = 30

Divide

x = 30 / 6

x = 5

Note that y = 3x = 3 × 5 = 15

Therefore, it should be noted that when the value of y is 15 and only the first step is correct.

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Answer:

slope 3/4

y intercept -1

Step-by-step explanation:

y=mx+b

m=slope

b=y intercept

Answer:

Slope-3/4

Intercept-(0,-1)

Step-by-step explanation:

Answer: y=-3

Step-by-step explanation: