The life of light bulbs is distributed normally. The standard deviation of the lifetime is 30 hours and the mean lifetime of a bulb is 540 hours. Find the probability of a bulb lasting for between 495 and 573 hours. Round your answer to four decimal places. Answer Keyboard Shortcuts If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key.

Answer:

i think it would be x = $10 + $1.50 + $3.00 * 4

and B 4x = $14.50

Step-by-step explanation:

im not completely sure of this sorry if its wrong

Answer:

ojalá te ayude

Step-by-step explanation:

la primera

2 2/5

The two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

To determine which expressions are less than 7/8, we can compare them individually to 7/8 and evaluate their values.

Let's consider each expression one by one:

7/8 x 9/19:

To compare this expression to 7/8, we multiply the fractions:

(7/8) x (9/19) = 63/152.

Since 63/152 is less than 7/8, this expression is less than 7/8.

7/8 x 3/4:

Multiplying the fractions:

(7/8) x (3/4) = 21/32.

Since 21/32 is less than 7/8, this expression is less than 7/8.

7/8 x 9/9:

The fraction 9/9 simplifies to 1, so the expression becomes:

(7/8) x 1 = 7/8.

Since 7/8 is equal to 7/8 (not less than), this expression is not less than 7/8.

7/8 x 4/3:

Multiplying the fractions:

(7/8) x (4/3) = 28/24.

We can simplify 28/24 to 7/6.

Since 7/6 is greater than 7/8, this expression is not less than 7/8.

Therefore, the two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

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15% increase in grade is a positive integer.

percentage, a relative value indicating hundredth parts of any quantity.

Positive Is about the number higher than 0 or basically "increase"

While, Negative is about lower than 0 or "decrease"

1. Is below than 0°C (negative)

2. Increase in grade (positive)

3. above sea level (positive)

4. increase of 100 pesos (positive)

5. decrease of 15 pesos (negative)

Hence, 15% increase in grade is a positive integer.

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Answer:

The rule for a profit-maximizing perfectly competitive firm is to produce the level of output where Price= MR = MC, so the raspberry farmer will produce a quantity of 90, which is labeled as e in Figure 4 (a). Remember that the area of a rectangle is equal to its base multiplied by its height.

If In ΔEFG, e = 690 inches, ∠F=94° and ∠G=46° then the length of g is 800 inches.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The sum of interior angles of a triangle are 180 degrees.

In ΔEFG, e = 690 inches, ∠F=94° and ∠G=46

We need to find the ∠E then the length of g.

∠E+∠F+∠G=180

∠E+94+46=180

∠E+140=180

∠E=40 degrees

By using sinE rule we have to find the length of g.

SinE/E=sinG/G

sin40/690=sin46/x

0.642/690=0.72/x

0.00093=0.72/x

x=0.72/0.0009

x=800 inches

Hence, the length of g is 800 inches.

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Answer:

the answer of r is 8 i hope it will help

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer:

solution here

length

c=170

a=162

b=177

perimeter=?

now,

perimeter of triangle = a+b+c

=170+162+177

=511

perimeter=511 cm

perimeter = length of fence

therefore,the fence should be 511 cm long.

The length of the fence needed would be 509 meters.

Given is that a city park is in the shape of a triangle where the sides have lengths 170 m, 162 m, and 177 m.

The length of the fence needed would be the perimeter of the triangle. We can write the perimeter of the triangle as -

P = sum of the side lengths

P = 170 + 162 + 177

P = 509 meters

Therefore, the length of the fence needed would be 509 meters.

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Liters of fuel in 1 hr is S/E and Liters of fuel in 60 km is 60/E

Liters of fuel in 1 hr: The Quasi JX travels E kilometers per liter of fuel (EkmL)(EkmL) at S kilometers per hour (Skmhr)(Skmhr). Therefore the Quasi JX requires 1E1E liters of fuel to travel 1 km. Since the Quasi JX travels S kilometers per hour, it requires 1E1E LkmLkm × S km/hr, or SELhrSELhr

Thus, Liters of fuel in 1 hr is S/E.

Liters of fuel in 60 km: The Quasi JX travels E kilometers per liter of fuel (EkmL). Therefore the Quasi JX requires 1E1E liters of fuel to travel 1 km. Given this, the Quasi JX uses 1/E L/km × 60 km, or 60/E L of fuel to travel 60 km.

Thus, Liters of fuel in 60 km is 60/E.

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The expression that represents the number of liters of fuel used in a 60 km drive under ideal driving conditions at a constant speed S is written as 60/E

Here we have given that RO1, Liters of fuel in 1 hour

Here we also know that the Quasi JX travels E kilometers per liter of fuel (E km/L) at S kilometers per hour (S km/hr)

Now, we have to know that the Quasi JX requires 1/E liters of fuel to travel 1 km.

Here the JX travels S kilometers per hour, and here it requires

=> (1/E x L/km) × (S km/hr)

Then it can be written as when we apply the value of Ro1 is 60, then we get

=> 60/E

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Same side interiors(vertical) have sum 180°

From both equations

And

The coordinates to which the portable irrigation system should be sent to water the area are:

(495.75, 672).

The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.

Hence the coordinates are given as follows:

Hence the x-coordinate of the point to which the system should be sent is:

x = (56 + 144 + 888 + 895)/4 = 495.75.

(the mean is given by the sum of the observations divided by the number of observations).

The y-coordinate of the point to which the system should be sent is:

y = (289 + 332 + 1012 + 1055)/4 = 672.

The area is given by the image at the end of the answer.

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Answer:

x = 1 and x = 7

Step-by-step explanation:

The given equation is \(x^2 - 8x + 7 = 0\).

We need to solve the equation.

It is a quadratic equation whose solution is given by :

\(x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\)

Here, a = 1, b = -8 and c = 7

Put values,

\(x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1\)

So, the values of x are x = 1 and x = 7.

\(\huge\boxed{Formula: r= \frac{d}{2}}\)

Substitute the values according to the formula.

\(r=\frac{94}{2}\)

\(\large\boxed{r=47 \: cm}\)

Now, let's find the area.

\(\huge\boxed{Formula:a= \pi{r}^{2}}\)

So, we'll have to multiply π, 47 and 47.

Substitute the values according to the formula.

\(a= \pi{47}^{2}\)

\(a= 6939.778172 \: {cm}^{2}\)

\(\large\boxed{a= 6939.8 \: {cm}^{2}(1 \: d.p)}\)

Hence, the area of the given circle is 6939.8 square centimeters.

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the radius & area of the circle.

To find the \(\star\bf{radius}\star\), we divide the diameter by 2:

\(\star~\bf{94\div2}\)

\(\star~\bf{Radius=47}\star\)

Now that we have the radius, let's compute the area! :)

///\\\///\\\///\\\///\\\///\\\////\\\///\\///\\\///\\\\///\\\///\\\///\\\////\\\///\\\///\\\///\\//\\\//\\

                            Calculating the Area

We can work out the area of a circle by using this formula:

\(\star\boxed{\pmb{A_{(circle)}=\pi r^2}}\star\)

Where

\(\dag\) A=Area of a circle

\(\dag\) \(\pi =3.14...\)

\(\dag\) r=radius

Have you noticed the \(\large\pmb{^2}\) next to r? This tells us that we should multiply the radius times itself.

Now it's time to substitute the values:

\(\star~\large\pmb{A=3.14\times47^{2}}\star\)

Let's simplify it. The acronym PEMDAS will help us, and we won't make any mistakes in the Order of Operations! :)

Here's what it stands for:

P=Parentheses

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtraction

2 is an exponent.

So what do you think we should do first?

\(\square\) Square 47.

\(\square\) Multiply 3.14 times 47 and then square.

That's right, we should square 47 first. :)

\(\star~\large\pmb{A=\pi \times2209}}\star\)

Now, according to PEMDAS, we should multiply pi times 2209; after multiplying, we obtain:

\(\star~\large\pmb{A=6936.8\:cm^2}\star\)

Remember, the area of any shape is measured in units squared.

\(\ddot\bigstar\) Remember this...

\(\fbox{\bf{The\;area\;of\;any\;shape\;is\;measured\;in\;units\;squared}}\)

Hope this helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

\(\bigstar\footnotesize\pmb{M^ar_ib^el\;Peri}\)

The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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Answer:

106.62729675 ft

Step-by-step explanation:

1 meter = 3.2808399 feet

32.5 * 3.2808399 = 106.62729675 ft

Answer:

because you can do 8 + 3 = 11 it helps to know how much to add

Step-by-step explanation:

Answer:

Example 5 If a force F1 = 100N is applied on the left in the hydraulic lift shown, where A1 = 0.02 m2 and. A2 = 0.08 m2, what force F2 will be.

Step-by-step explanation:

The probability that the cupcake picked at random contains walnuts is given as follows:

0.4 = 40%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:

30.

The number of cupcakes with walnuts is given as follows:

Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:

p = (3 + 9)/30

p = 12/30

p = 0.4.

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Answer:

\(-8\)

Step-by-step explanation:

Solving for \(w\) given the equation, \(-3w +5 = 2\):

\(-3w +5 = 2 \\ -3w +5 -5 = 2 -5 \\ -3w = -3 \\ \frac{-3w}{-3} = \frac{-3}{-3} \\ w = 1\)

Solving for \(w -9\) when \(w = 1\)

\(1 -9 \\ -8\)

\((\stackrel{x_1}{-8}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{-7}~,~\stackrel{y_2}{9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{-7}-\underset{x_1}{(-8)}}}\implies \cfrac{9+8}{-7+8}\implies \cfrac{17}{1}\implies 17\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_2=m(x-x_2) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_2}{9}=\stackrel{m}{17}[x-\stackrel{x_2}{(-7)}]\implies y-9 = 17(x+7)\)

The expression is simplified to r²( r + 1) - (q - s²)

Algebraic expressions are mathematical expressions made up of variables and constants.

They are mostly made up of algebraic operations such as addition, subtraction, division, multiplication, bracket, parenthesis, etc

Given the expression;

r3 – [q + (r – s)2 ]

With the knowledge of BODMAS, we expand the bracket

r³ - q + ( r + s²)

r³ - q + r² - s²

Now, let's collect like terms

r³ + r² - q - s²

(r³ + r²) - (q - s²)

Factor out r, we then have;

r²( r + 1) - (q - s²)

The expression is simplified to r²( r + 1) - (q - s²)

Thus, the expression is simplified to r²( r + 1) - (q - s²)

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Answer:

I would expect there to be 15 boy names and 10 girl names.

Step-by-step explanation:

There is a 3 to 2 ratio between boy and girl names, and the only numbers that add up to 25 with that ratio are 15 and 10

The fraction of the restaurant that is owned by Dana, given the share owned by Karen and Dan is 3 / 14

First, find the fraction of the restaurant that is left to Dana and Randi after Karen and Dan's shares.

The fraction of the restaurant owned by both Dana and Randi are:

= Total ownership share - Fraction owned by Karen - Fraction owned by Dan

= 1 - 2/7 - 2/7

= 3/7

Dana and Randi share this equally so the fraction owned by Dana is:

= 3 / 7 ÷ 2

= 3 / 7 x 1/2

= 3 / 14

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Answer:

$4.40

Step-by-step explanation:

you do 24=5x-2 so first you do 24-2 and u get 22 so then divide that by 5 since they each pay 5. then u end up with 4 dollars and 40 cents

Answer:

The third one is the answer

Step-by-step explanation:

Thus, the boat travels x = 139.18 miles in North direction  and y = 143.62 miles east from the harbor.

It is possible to break down a "two-dimensional vector" into its horizontal as well as vertical parts. By using the Pythagorean theorem and the vector's magnitude as the hypotenuse of a right triangle, we may determine these components of vector.

As indicated below, we must determine how far east and north the boat has moved relative to the harbour.

X miles north:

cos 51 = x/200

x = 200*cos51

x = 139.18 miles

y miles east:

sin 53 = y/200

y = 200*sin 51

y = 143.62 miles

Thus, the boat travels x = 139.18 miles north and y = 143.62 miles east from the harbor.

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Answer:

x is -7.5 or -14/2 or -7½

Step-by-step explanation:

- Supposing y varies directly with x

\( { \tt{y \: \alpha \: x}} \\ \: \: \: \: { \tt{y = kx}} \)

[k is a constant of proportionality (k ≠ 0)]

- When y is 6, x is -2

\( \: \: \: \: \: \: \: \: \: { \tt{6 = (k \times ^{ - }2) }} \\ { \tt{6 = - 2k}} \\ { \tt{k = - 3 \: \: }}\)

- Therefore, the equation is;

\({ \boxed{ \tt{y = - 2x}}}\)

- What is x when y is 15

\({ \tt{15 = - 2x}} \\ { \tt{x = - 7.5}}\)

The value of x is -5

The equation for a direct variation is y = kx, where k is the constant of variation. Since we know that y = 6 when x = -2, we can solve for k:

                                        k = y/x

                                        k = 6/-2

                                        k = -3

Therefore, the equation for this direct variation is y = -3x. To find x when y = 15, Substitute k = -3 and y = 15 into the equation

                                15 = -3x

Then solve x,

                       x = \(\frac{-15}{3}\)

                        x = -5

Therefore, when y = 15, x = -5.

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