An element with a mass of 420 grams decays by 7.5% per minute. To the
nearest minute, how long will it be until there are 210 grams of the element
remaining?

The probability is 0.1.

acc to our question-

Hence,The probability is 0.1.

learn more about probability here:

https://brainly.com/question/13604758

#SPJ13

Answer: 264.5

Step-by-step explanation:

(-81.7) + 346.2

346.2 - 81.7 = 264.5

Answer: y intercept is -1

Step-by-step explanation:

If the degree of the polynomial is 3 with zeros 7i and 9/5, then the polynomial f(x) = [tex]5x^3-9x^2+245x-441[/tex]

The zeros of the polynomial = 7i and 9/5

Here the degree of polynomial is 3, therefore there will be three zeros in polynomial, here only 2 zeros are given. We have to find the third zero of the polynomial.

Here one of the polynomial is complex number, therefore another zero will be the conjugate of the complex zero

Therefore the equation will be

(x+7i)(x-7i)(5x-9) = 0

We have to solve the equation

([tex]x^2[/tex] -7ix+7ix+49)(5x-9) = 0

([tex]x^2[/tex] + 49)(5x - 9) = 0

[tex]5x^3-9x^2+245x-441 =0[/tex]

Therefore

f(x) = [tex]5x^3-9x^2+245x-441[/tex]

Hence, if the degree of the polynomial is 3 with zeros 7i and 9/5, then the polynomial f(x) = [tex]5x^3-9x^2+245x-441[/tex]

Learn more about polynomial here

brainly.com/question/28652768

#SPJ1

The sample of study is 100 business.

An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values. A sample is that precise value. The probability distribution of the random variable determines the possible values and the likelihood of each. A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

Given,

Snoopy brown is interested in the number of businesses that do not allow dogs in st. paul, mn. to conduct his study, he randomly selects 100 businesses listed in the st. paul phone book, calls them and asks their policy.

The sample of study is 100 business.

To learn more about sample, visit:

https://brainly.com/question/13287171

#SPJ4

The required equation is 20 + 2m = 15 + 4m. The number of miles for which Uber and Lyft would charge the same amount for the ride is 2.5 miles.

Uber charges a flat rate of $20 plus $2 per mile. Lyft charges a flat rate of $15 plus $4 per mile. We need to find out the equation and the number of miles for which Uber and Lyft would charge the same amount for the ride.

Let the charge of Uber and Lyft be represented by the variables C1 and C2. We can write the equations given below.

C1 = 20 + 2m

C2 = 15 + 4m

We need the charge for both companies to be equal.

C1 = C2

20 + 2m = 15 + 4m

Hence, the required equation is 20 + 2m = 15 + 4m. Now we will solve this equation to find the number of miles.

2m = 5

m = 2.5

Hence, the number of miles for which Uber and Lyft would charge the same amount for the ride is 2.5 miles.

To learn more about equations, visit :

https://brainly.com/question/10413253

#SPJ4

By factorizing algebraic expression 30 - [tex]6x^3[/tex] using a common factor, the result will be option (A) 2(15 - [tex]3x^3[/tex])

The expression is given,

30 - [tex]6x^3[/tex]

The expression is the mathematical sentence that consist of different types of variables, numbers and the mathematical operators. The mathematical operators will be addition, subtraction, division and multiplication. The expression does not contains a equal sign or inequality signs

The expression is given,

30 - [tex]6x^3[/tex]

Take a common term outside

Here the common term is 2

30 - [tex]6x^3[/tex]  = 2((30/2) - [tex]6x^3[/tex] /2)

= 2(15 - [tex]3x^3[/tex])

Hence, by factorizing algebraic expression 30 - [tex]6x^3[/tex] using a common factor, the result will be option (A) 2(15 - [tex]3x^3[/tex])

Learn more about factorizing here

brainly.com/question/26923098

#SPJ1

Answer:

Slope is equal to the change in y y over the change in x x, or rise over run. m = change in y change in x m = change in y change in x. The change in x x is equal to the difference in x-coordinates (also called run ), and the change in y y is equal to the difference in y-coordinates (also called rise ). m = y2 −y1 x2 −x1 m = y 2 - y 1 x 2 - x 1.

The expression that represents the distance between -3/4 and -0.2 on a number line is |-3/4 + 0.2|

The distance between points on a number line is the number of units or points between these points

From the question, we have the following parameters that can be used in our computation:

Distance between -3/4 and -0.2 on a number line

This means that

Endpoints = -3/4 and -0.2

These endpoints can be represented as

Endpoint 1 = -3/4

Endpoint 2 = -0.2

The distance between these endpoints is then calculated as

Distance = |Endpoint 1 - Endpoint 2|

Substitute the known values in the above equation, so, we have the following representation

Distance = |-3/4 - -0.2|

Evaluate the difference

Distance = |-3/4 + 0.2|

Hence, the distance expression is |-3/4 + 0.2|

Read more about distance at

https://brainly.com/question/7243416

#SPJ1

The distance between the two points is 8.25 units

The distance between two points in a plane is the length of the line segment separating the two locations. Typically, the equation d=((x2 - x1)2 + (y2 - y1)2) is used to calculate the distance between two locations. You may use this formula to get the separation between any two points on an x-y plane or coordinate plane.

The following is the formula for the separation between two points:

d= √(x₁-x₂)²+(y₁-y₂)²

Points (x1, Y1) and (x2, Y2)

As given in the question, the points are (-6, -6) and (-8, 2)

The distance between the two points is,

d= √(-6+8)²+(-6-2)²

d=√4+64

d=√68 units= 8.25 units

Therefore, the distance between the two points is 8.25 units

To know more about the distance between two points, visit:

https://brainly.com/question/24485622

#SPJ13

Answer: x=3

Step-by-step explanation:

Simplify equation to get 8x=24. Divide 24 by 8 to get x=3. Please give brainliest :D

Answer:

Step-by-step explanation:

First add 17 to both sides to isolate the variable (usually the one with the bigger coefficient is best)

subtract 15x from both sides to combine 23X and 15X terms

Divide by 8 to solve

The money left with Dan is £30  .

In the question ,

it is given that

the amount of money earned by Dan in a week is = £240  .

amount of money spent by Dan on rent is = 3/4 wage

amount of money spent by Dan on food is = 1/8 of wage

So ,

the total amount spent = amount spent on food + amount spent on rent

Substituting the values ,

we get ,

= 3/4 + 1/8 = 7/8 of his wage = (7/8)*240

= 210

so , total amount spent is £210 .

Amount left = amount earned - amount spent

= 240 - 210
= 30

Therefore ,The money left with Dan is £30  .

The given question is incomplete , the complete question is

Dan spends 3/4 of his wages on rent and 1/8 on food. If he makes £240 per week, how much money does he have left?

Learn more about Equation here

https://brainly.com/question/12219451

#SPJ1

Answer:

y=-4x-4

Step-by-step explanation:

we know the slope so put it in the slope intercept form

y=-4x

Now fill it in to find y intercept with the coordinates

0=-4(-1)

0=4

We need to subtract 4 to make this equation true so the y intercept is -4

The equation will become

y=-4x-4

Hopes this helps please mark brainliest

Answer:

A

Step-by-step explanation: Rise/run. is important

it goes up 4 and then over 6 and so we have to simplify which is 2/3 and snice it is going down it is negitive.

Answer:

2 , 3 , 4

Step-by-step explanation:

Corresponding angles:  When two parallel lines are intersected by a transversal, the angles on the same side and same position of the transversal are same.

            ∠3 = ∠1

Vertically opposite angles: When two lines intersect, the opposite angles are congruent.

             ∠2 = ∠1

            ∠4 = ∠3

So, ∠1 = ∠2 = ∠3 = ∠4 = 60°

Using the theories of probability, we got that 0.0260 is the probability  of choosing 4 spades and 2 cards that are not spades and 0.1202 is the probability of choosing 2 red face cards  from a well shuffled deck of 52 playing cards..

We know a deck of 52 playing cards has  13 hearts, 13 clubs, 13 spades,

13 diamonds.

∴  The possibility that she chooses 4 spades and 2 cards that are not spades is,

= ([tex]^1^3C_4[/tex]×[tex]^3^9C_2[/tex])/([tex]^5^2C_6[/tex])

As from the 13 spade cards 4 are chosen, so now we are left with (52 - 4) = 48

and 2 cards that are not spades means out of 9 spades that are left after choosing 4 that is 9 will also be subtracted (48 - 9) = 39.

= (13!/(13 - 4)!×4!)×(39!/(39 - 2)!×2!)/52!/(52 - 6)!×6!

= (13!/9!×4!)×(39!/37!×2!)/(52!/46!×6!)

= (13×12×11×10)/(4×3×2)×(39×38)/2)/(52×51×50×49×48×47)/(6×5×4×3×2)

= (529815)/(20358520)

= 0.026.

Similarly, the probability of choosing 2 red face card is given by

=([tex]^6C_2[/tex]×[tex]^4^6C_4[/tex])/([tex]^5^2C_6[/tex])

=[ [(6! / (2!.4!)] × [46! / (4!.42!)] ]/ [52! / (6!.46!)]

=(15×163185)/20358520

=0.1202.

Hence, the probability of choosing 4 spades and 2 cards by carrie that are not spades is 0.026 and the probability of choosing 2 red face cards by carrie is 0.1202.

To know more about probability, visit here:

https://brainly.com/question/11234923

#SPJ4

The required equation of the line is y = -(1/2)x + 1/2 which passes through the points (-9,5), (17,-8).

The slope of a line is expressed as the gradient of the line.

Given that line passes through the points (-9,5), (17,-8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -9, y₁ = 5

x₂ = 17, y₂ = -8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 5 = (-8- 5)/(17-(-9))[x -(-9)]

⇒ y - 5 = (-13)/(26)[x +9]

⇒ y - 5 = -1/2(x +9)

⇒ y = -(1/2)x - 9/2 + 5

⇒ y = -(1/2)x + 1/2

Therefore, the equation of the line is y = -(1/2)x + 1/2 which passes through the points (-9,5), (17,-8).

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ1

Answer:

Yes.

Step-by-step explanation:

To decide if these triangles are similar, we need to check 2 criteria. The first is that the angles are all the same as their corresponding angles on the other triangle, which is true. The second is to check if the sides are all in the same proportional relationship. To do this, we need to put 40/50, 40/50, and 16/20 to see if they simplify to the same fraction (which is the proportion.) 40/50 and 40/50 simplify to the same fraction, 4/5. 16/20 also simplifies to 4/5, so the sides are all in the same proportion, which means the shapes are similar.

Answer:

Step-by-step explanation:

can’t be determined

Answer:

Food desert census tracts typically have fewer populations than all other census tracts, a higher percentage of unoccupied or abandoned dwellings, and residents who are less likely to have a college degree, make less money, or be employed.

Slope between the points (-10, 5) and (14,-3) is -1/3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find slope between points (-10, 5) and (14,-3)

m=-3-5/14+10

m=-8/24

m=-1/3

Hence, slope between the points (-10, 5) and (14,-3) is -1/3.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

Answer:

A

Step-by-step explanation:

Domain is the set of x values, so we can cross off C and D as answer choices as those would be possible answer choices for range. Looking at the graph, you can see the graph continues infinitely. The domain of the function is all real numbers, or A.

Answer:

[tex]y=-\frac{1}{4}x-\frac{1}{4}[/tex]

Step-by-step explanation:

To find the equation in slope-intercept form, isolate [tex]y[/tex].

[tex]4y+x=-1 \\ \\ 4y=-x-1 \\ \\ y=-\frac{1}{4}x-\frac{1}{4}[/tex]

Answer:

24

Step-by-step explanation:

2(x-3)

2(15-3)

2(12)

24

Hopes this helps please mark brainliest

Answer:

24

Step-by-step explanation:

2(x - 3)

==> plug in x = 15

2(15 - 3)

==> subtract 3 from 15

2(12)

==> multiply 2 and 12

=24

Remember we evaluate using pemdas

Parenthesis

Exponents

Multiplication and Division (going left to right)

Addition and Subtraction (going left to right)

This is the order of operations we use to determine which operation we perform. Here we first used "parenthesis" and did all operations inside of the parenthesis. We then ended with multiplication

PMF probability mass function:

2 - 0.03125, 3 - 0.15625, 4 - 0.3125, 5 -0.3125, 6 - 0.15625, 7 - 0.03125.

The probability of such a function is the degree to which an event will occur as a rational number.

A family has 2 adopted girls and 5 biological daughters.

Each naturally occurring child does have an equal chance of being a boy or a girl.

Out of the seven offspring, the probability mass function for girls is as follows:

B should stand for Boy, and G should stand for G.

Consequently, this is the probability mass function:

P(GGBBBBB) = ⁵C₀ x (0.5)⁰ x (0.5)⁵

                      = 0.03125

P(GGGBBBB) = ⁵C₁ x (0.5)¹ x (0.5)⁴

                      = 0.15625

P(GGGGBBB) = ⁵C₂ x (0.5)² x (0.5)³

                      = 0.3125

P(GGGGGBB) = ⁵C₃ x (0.5)³ x (0.5)²

                      = 0.3125

P(GGGGGGB) = ⁵C₄ x (0.5)⁴ x (0.5)¹

                      = 0.15625

P(GGGGGGG) = ⁵C₀ x (0.5)⁵ x (0.5)⁰

                      = 0.03125

Thus, the probability mass function for girls out of the 7 children is obtained.

To know more about the Probability, here

https://brainly.com/question/13604758

#SPJ4

Answer:

$1.80

Step-by-step explanation:

The null hypothesis is rejected thus there is a significant difference in the incidence of lung cancer in all four groups.

When the p-value is less than 0.05, the null hypothesis that there is no difference between the means is rejected, and we come to the conclusion that there is a significant difference. The existence of a significant difference cannot be inferred if the p-value is higher than 0.05.

The null hypothesis in the given scenario was that all four groups will have the same incidence rate of lung cancer which is rejected.

An assertion that there is no correlation between two population measures is referred to as a null hypothesis. To prepare the ground for additional experimentation or study that explains the position of interest, researchers reject or refute the null hypothesis.

For more information on the null hypothesis kindly visit on

https://brainly.com/question/28098932

#SPJ4