For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

​

Answer: The percentage of bags will the inspector reject = 15.87%

Step-by-step explanation:

Given, The weights of apple bags are normally distributed  with a mean of 5 pounds and a standard deviation of 0.25 pound.

i.e. [tex]\mu=5[/tex] and [tex]\sigma=0.25[/tex]

Let X be the weight of any random apple bag.

Since an inspector  weighs each bag and rejects all bags that weigh less than 4.75 pounds.

Then, the probability of bags will be rejected = probability that bags weigh less than 4.75 pounds.

[tex]=P(X<4.75)\\\\=P(\dfrac{X-\mu}{\sigma}<\dfrac{4.75-5}{0.25})\\\\=P(z<-1)\ \ \ [z=\dfrac{X-\mu}{\sigma}][/tex]

[tex]=1-P(z<1)\\\\=1-0.8413\ \ \ [\text{By z-value table}]\\\\=0.1587=15.87\%[/tex]

Hence, the percentage of bags will the inspector reject = 15.87%

Answer:

Christine needs to drive 250 miles for the two plans to cost the same

Step-by-step explanation:

For answering the question correctly and helping Christine, we will use the following equation:

x = number of miles driven

Cost of the first plan = 0.60x

Cost of the second plan = 50 + 0.40x

How many miles would Christine need to drive for the two plans to cost the same?

Cost of the first plan = Cost of the second plan

0.60x = 50 + 0.40x

0.60x - 0.40x = 50 (Subtracting 0.40x at both sides)

0.20x = 50

x = 50/0.2

x = 250 miles driven

Christine needs to drive 250 miles for the two plans to cost the same.

Answer:

[tex]\boxed{a*b = 1.60 * 10^2}[/tex]

[tex]\boxed{a/b = 7.53 * 10^{-14}}[/tex]

[tex]\boxed{c/a = 1.59 * 10^{13}}[/tex]

Step-by-step explanation:

a = [tex]3.47 * 10^{-6}[/tex]

b = [tex]4.61 * 10^7[/tex]

c = [tex]5.52*10^7[/tex]

Finding a*b:

a*b =( [tex]3.47 * 10^{-6}[/tex] )*( [tex]4.61 * 10^7[/tex])

= (3.47*4.61) * ([tex]10^{-6}*10^7[/tex])

When bases are same, powers are to be added

= 15.997 * [tex]10^{-6+7}[/tex]

= 15.997 * [tex]10^1[/tex]

= 159.97

Rounding it off

=> 1.60 * 10²

Finding a/b:

=> [tex]\frac{3.47*10^{-6}}{4.61*10^7}[/tex]

Using rule of exponents [tex]a^m/a^n = a^{m-n}[/tex]

=> 0.753 * [tex]10^{-6-7}[/tex]

=> [tex]7.53*10^{-1}*10^{-13}[/tex]

=> [tex]7.53 * 10^{-1-13}[/tex]

=> 7.53 * 10⁻¹⁴

Finding c/a:

=> [tex]\frac{5.52 * 10^7}{3.47*10^{-6}}[/tex]

=> 1.59 * [tex]10^{7+6}[/tex]

=> 1.59 * 10¹³

Answer:

a × b = 1.60 × 10^2

a/b = 7.52 × 10^-14

c/a = 1.59 × 10^13

Step-by-step explanation:

a = 3.47 × 10^-6

b = 4.61 × 10^7

c = 5.52 × 10^7

Solve a × b

(3.47 × 10^-6) × (4.61 × 10^7)

When bases are same in multiplication, we add the exponents.

15.9967 × 10^1

Decimal point is after first non-zero digit. Round to hundredths.

1.60 × 10^2

Solve a/b

(3.47 × 10^-6)/(4.61 × 10^7)

When bases are same in division, subtract the exponents.

3.47/4.61 × 10^-14

0.75271149674 × 10^-14

Decimal point is after first non-zero digit. Round to hundredths.

7.52 × 10^-14

Solve c/a

(5.52 × 10^7)/(3.47 × 10^-6)

When bases are same in division, subtract the exponents.

5.52/3.47 × 10^13

1.59077809798 × 10^13

Round to hundredths.

1.59 × 10^13

1 gallon = 16 cups. She is making 2 gallons so needs 32 total cups.

The ratio is 4:3:1

Add the ratios: 4+ 3 + 1 = 8

Divide total cups by total ratio:

32/8 =4

Now multiply that by each portion of the ratio:

Grape juice = 4 x 4 = 16 cups

Pineapple juice = 3x4 = 12 cups

Cider = 1x 4 = 4 cups

She needs 12 cups of pineapple juice.

Answer:12 3/20

Step-by-step explanation:

Answer:

Option a) $ 82,531.59

Step-by-step explanation:

The Formula for Future value =

Present value (1 + r/n)^nt

From the question

Present value = $51,123.21

Interest rate (r) = 2 3/8 % = 2.375% = 0.02375

n = compounding frequency = compounded daily = using the traditional bankers rule of 30 days = 30 × 12 months = 360

T = Time duration in years = 20 years and 2 months = 20.1667

Future value = $ 51,123.21(1 + 0.02375/260)^20.1667 × 360

Future value = $ 82,531.59

Answer:

[tex]x=19[/tex]

Step-by-step explanation:

First, note that Angle X and angle Y are angles formed when two parallel lines  are being cut by a transversal. This makes Angle X and Y consecutive interior angles. Consecutive interior angles are supplementary.

Therefore:

[tex](3x-5)+(90+2x)=180[/tex]

[tex]5x-5=90[/tex]

[tex]5x=95[/tex]

[tex]x=19[/tex]

Answer:

2.7

Step-by-step explanation:

2.5/5.8 = BD/6.2

BD = 2.7

Answer: 2.7

Step-by-step explanation: 2.5/5.8 = BD/6.2

BD = 2.7

Answer:

add 10 on both sides

7<X

So X has to be bigger than 7

So 8,9,10, and 1000 can all be X.

Step-by-step explanation:

Answer:

7 < x

Step-by-step explanation:

the inequality is -3< x-10

any number that is greater than 7 can be a solution

Answer:  

3/10

Step-by-step explanation:

Answer:

528

Step-by-step explanation:

PEMDAS:

In this math problem, you would multiply 34 and 15 before adding 18.

[tex]18+34*15=\\\\18+510=\\\\\boxed{528}[/tex]

Brainliest Appreciated.

Answer:

528

Step-by-step explanation:

BODMAS

Multiplication first.

34 x 15= 510

Then addition:

510 + 18= 528

Answer:

1/36

Step-by-step explanation:

1/6x1/6=1/36

Answer:

I would try 10 again but this time put the degree sign in. Sometimes the computer registers in incorrect if it doesn't have a degree sign

Step-by-step explanation:

Also, this is a random note but in geometry, minutes and seconds are classified as smaller units in angles than degrees. 60 minutes is a degree and 60 seconds is a minute so that means 3600 seconds is a degree.

Answer:

See below.

Step-by-step explanation:

The domain of a relation are simply its x-values, while the range of a relation are its y-values.

1)

We have the relation:

{(-7,2), (-2,2), (0,1), (4,5)}

Again, the domain of this relation are the x-values. Therefore, the domain is:

{-7, -2, 0, 4}

The range of this relation are the y-values. Therefore, the range is:

{2, 1, 5}

Note that even though the 2 repeats, we only count it once because it's the same.

2)

We have the relation:

{(-4,-1), (-3,-3), (-3,4), (-1,-1), (1,4)}

The domain are the x-values. Therefore, the domain is:

{-4, -3, -1, 1}

Again, the -3 repeats so we only count it once.

And the range would be the y-values:

{-3, -1, 4}

It's customary to place them in ascending order.  

Answer:

If there are two set A and B. All the elements of set A are called domain and all elements of set B are range.And element of B which are maping with set A elements are codomain

Step-by-step explanation:

domains are -7,-2,0,4

range are 2,1,5

I hope this is helpful for you

Answer:

179,5 inches³

Step-by-step explanation:

Hello !

d = 2r => r = d/2 = 7in/2 = 3.5 inches

V = 4π·r³/3

= 4·3.14·(3.5in)³/3

= 538.51in³/3

≈  179,5 inches³

Answer:

c) quadrant III

Step-by-step explanation:

I will be quick in this question:

[tex]\text {For }y<0 \Rightarrow \text{Quadrant III or Quadrant IV}[/tex]

[tex]\text {For }x<0 \Rightarrow \text{Quadrant II or Quadrant III}[/tex]

What both have in common?

So, the answer is Quadrant III.

Answer:

Quadrant III

Step-by-step explanation:

x < 0 is the area to the left of the y-axis, and y < 0 is the area beneath the x-axis.  This point is therefore located in Quadrant III.

Answer:

I think The answer is B

Step-by-step explanation:

The anne's friends studied hard and got high marks higher than john's friends

Answer:

A) True

B) False

C) True

D) True

Step-by-step explanation:

Answer:

(2,4), (6,4), (2,-2), (6,-2)

Step-by-step explanation:

To dilate a figure multiply 2(x,y)

2(1,2)  = (2,4)

2(3,2) = (6,4)

2(1,-1) = (2,-2)

2(3,-1) = (6,-2)

Hope this helps!   Ξ

Answer:

A) [tex]\boxed{\sf 700 \ pepperoni \ pizzas}[/tex]

B) See the attached file!

Step-by-step explanation:

Total pizza sales in the pie chart = 175+60+35+130

=> 400 total Pizzas

Out of these 400, there are 175 pepperoni pizzas

So,

Pepperoni Pizzas = 175/400 = 7/16 (Simplest form)

So,

Among 1600 pizzas, pepperoni pizzas would be:

=> [tex]\frac{7}{16} * 1600[/tex]

=> 7 * 100

=> 700 pepperoni pizzas

Part B)

See the attached file:

Answer:

[tex]\sf a) \ 700 \\ b) \ \sf view \: attachment[/tex]

Step-by-step explanation:

Part A:

Calculate the total parts:

[tex]130+175+60+35[/tex]

[tex]=400[/tex]

Out of 400 pizzas, 175 are pepperoni.

[tex]\frac{175}{400}[/tex]

The sales remain constant, if the total number of sold pizzas reaches 1600 then:

[tex]\frac{175}{400} \times 1600[/tex]

[tex]=700[/tex]

Out of the 1600 pizzas sold, 700 would be pepperoni.

Part B:

(attachment)

Pepperoni pizza:

[tex]\frac{200}{200+100+50+50} =\frac{1}{2}[/tex]

Hamburger pizzas:

[tex]\frac{100}{200+100+50+50} =\frac{1}{4}[/tex]

Veggie and cheese pizzas:

[tex]\frac{50}{200+100+50+50} =\frac{1}{8}[/tex]

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

The multiplier for 1% would be 1.01

Multiply her distance from yesterday by this value

new distance = 10.75 x 1.01

new distance = 10.8575

I'm assuming you'd want the answer to 2 d.p (however, you can round accordingly if needed otherwise)

Subtract the two values

10.8575 - 10.75 = 0.1075

So, to 2 d.p your answer would be 0.11 km

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

- 0.8

Step-by-step explanation:

The first thing we want to do here is simplify the expression -

[tex]\frac{3}{5}[/tex]( 2x + 5 ) - 2x, Distribute the " [tex]\frac{3}{5}[/tex] " to elements within the parenthesis

= [tex]\frac{3}{5}[/tex] [tex]*[/tex] 2x + [tex]\frac{3}{5}[/tex] [tex]*[/tex] 5 - 2x, Focus on simplifying the expression " [tex]\frac{3}{5}[/tex] [tex]*[/tex] 2x + [tex]\frac{3}{5}[/tex] [tex]*[/tex] 5 "

= [tex]2\cdot \frac{3}{5}x+5\cdot \frac{3}{5}[/tex] - 2x

= [tex]\frac{6x}{5}+3[/tex] - 2x, Combine fractions

= [tex]-\frac{4x}{5}[/tex] + 3

= [tex]-\frac{4}{5}[/tex]x + 3

So we have our simplified expression "  [tex]-\frac{4}{5}[/tex]x + 3, " with [tex]-\frac{4}{5}[/tex] being the coefficient of x. Our requirements are that this fraction should be expressed as a decimal, so we can simply divide the numerator by the denominator to figure that out,

- 4 / 5 = - 0.8,

Solution = - 0.8

Answer:

f(30) represents the total cost when the car is driven 30 miles

Step-by-step explanation:

f(30) is the y value when x= 30

Since x represents miles, f(30) is the y value of the function when you drive a car 30 miles, basically how much it will cost.

We solve this by plugging 30 in for x:

f(30)= 90 + 0.11(30)

f(30)= 90 + 3.3

f(30)= 93.3

Thus, renting a car for a day and driving it 30 miles costs $93.30

Explanation:

RB and SB are 22 units. Since they are both equal, this means the chords NL and OQ are the same length. This is true whenever the chords are the same distance away from the center.

NL = 28, so OQ = 28 as well.

Furthermore, the radius BP cuts chord OQ in half (because BP is perpendicular to OS), which means OS = 28/2 = 14. We are also told that OS = 4x-22

Therefore,

4x-22 = 14

4x = 14+22

4x = 36

x = 36/4

x = 9

Answer:c

Step-by-step explanation:

becuase it minus so we can get rid of a and b, and since d is not the equation to find absolute value, it is not correct

Answer:

-7 8/10  =  b

Step-by-step explanation:

Rewrite 4 1/3b as (11/3)b, and rewrite 10.4 as 104/10.  Then we have:

(11/3)b + b = 6b - 104/10.

This simplifies to b( (11/3) + 1 - 6) = 104/10, or

                             b(11/3 - 15/3) = 104/10, or

                             b( -4/3 ) = 104/10

Multiplying both sides by -3/4 isolates b, as desired:

                                                     -3(104)

                             (-3/4)(-4/3)b = -------------

                                                        4(10)

Then b = -312/40, or -156/20, or -78/10, or -7 8/10  =  b

The value of b from the expression given will be b= -7 8/10 .

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have been given an expression as;

4 1/3b + b = 6b–10.4

Rewrite 4 1/3b as (11/3)b, and rewrite 10.4 as 104/10, Then we have:

(11/3)b + b = 6b - 104/10.

This simplifies as;

b( (11/3) + 1 - 6) = 104/10, or

b(11/3 - 15/3) = 104/10, or

b( -4/3 ) = 104/10

Multiplying both sides by -3/4 isolates b, as desired:

-3(104)

(-3/4)(-4/3)b = -4(10)

Then b = -312/40,

or -156/20,

or -78/10,

or -7 8/10  =  b

Therefore the value of b from the expression given will be b= -7 8/10 .

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Answer:

the third one

Answer:

He wrote the rate incorrectly

Step-by-step explanation:

Camille's calculation

(48/$3.84)(?/s1)

48x/3.84

=$13.79

The correct calculation

(48/$3.84)(?/s1)

48x/3.84

=$12.50

To find the error in Camille's calculation

(48/$3.84)(?/s1)

48x/3.84

=$13.79

We will divide 48 ounces of jelly by $13.79 to get the rate

48/13.79

=$3.48

Therefore, Camille wrote the rate incorrectly by interchanging .84 after the decimal for .48

To find the minimum value of function 1, we need to find the vertex. The formula for the x-coordinate of the vertex is -b/2a, which is -1 in this equation. However, to find minimum and maximum values, we need to look at the y-coordinate. f(-1) is 4, which we know is a minimum (rather than a maximum), because the leading coefficient is positive -- so the parabola opens upwards. So, the minimum value of f(x) is 4, and the coordinate is (-1, 4).

From the table, the minimum value of g(x) is 3, and the coordinate is (0, 3).

Therefore, function 2 has the lowest minimum value, with coordinates (0, 3).

Answer:

25x + 100 = His goal

Step-by-step explanation:

He gets 25 from each person so the amount of people would be x and then you add 100 dollars for how much he still needs.

Y=25x +100, i think thats right not 100% sure though.