Jorge’s family is taking a car trip to see his grandmother. The family plans to spend 3 days on the road. The distance is 687 miles. About how far must they drive each day?

The probability of Johnny not getting a job offer from either company is 0.8

Suppose Johnny applied for a job at companies A and B.

Through extensive research, Johnny determined he has a 60% chance of getting a job offer from company A,

A = 0.6

a 50% chance of getting a job offer from company B,

B = 0.5

and a 30% chance of getting a job offer from both companies A and B.

What is the probability of Johnny not getting a job offer from either company?

Suppose, probability of an event  A occurring is P(A)

and that of is B IS P(B)

P(A) = 0.6

and

P(B)= 0.5

probability of either  or P(AUB)=0.3

Now we need to find the probability of neither  nor, which is

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∩B)  = P(A) + P(B) -P(A∪B)

             = 0.6 + 0.5 - 0.3

            = 0.8

Now the events are mutually exclusive, so

Therefore, the probability of neither  nor  is 0.8

The probability of Johnny not getting a job offer from either company is 0.8

To know more about probability visit brainly.com/question/28823603

#SPJ4

Answer:

Step-by-step explanation:

Use ratios:

Solve by cross-multiplication:

Answer:Bilquis finds some nickels and quarters in her piggy bank. How much money (in

cents) does she have if she has 7 nickels and 5 quarters? How much money

does she have if she has n nickels and q quarters?

Step-by-step explanation:

Answer: 157 cents ($1.57)

Step-by-step explanation: Nickels are worth 5 cents each, so 5 cents times 7 nickels equals a total of 35 cents. After that, we have 5 quarters which cost 25 cents each, so 25 cents times 5 quarters equals a total of 125 cents. Combine these two products, and you get 157 cents. Or, if you want it in dollars, you can divide 157 by 100 cents (there are 100 cents in a dollar) and end up with $1,57.

Answer:

44

Step-by-step explanation:

If there are 22 people running and they each want two energy drinks, then Jerome needs to make 44 cups. 22 times 2 is 44

The 40th term of the sequence  aₙ = - 24 - 3n is - 144.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, A sequence is represented by the explicit formula aₙ = - 24 - 3n.

We know, Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Therefore, To find a₄₀, we'll simply replace n with 40.

So, a₄₀ = - 24 - 3(40).

a₄₀ = - 24 - 120.

a₄₀ = - 144.

learn more about arithmetic sequence here :

https://brainly.com/question/15412619

#SPJ1

Answer:

I AM sure u will find answers in googl

let me go check

Step-by-step explanation:

Answer:

1.5 kilograms

Step-by-step explanation:

You need to convert grams to kilograms, this means you must divide the mass value by 1000 to find your answer.

1,500/1,000 = 1.5

Answer:

For 1500 grams in kilogram we get 1.5 kg

Step-by-step explanation:

to convert a gram into a kilogram we have to divide the gram term by 1000

Yes, isosceles triangles have three congruent angles.

An isosceles triangle is a triangle with at least two congruent sides and two congruent angles. The two congruent sides and two congruent angles form an isosceles triangle. The two congruent angles are known as the base angles, and they are opposite to the two congruent sides. The third angle in an isosceles triangle must also be congruent to the two base angles in order for the triangle to be true. This is because the angles of a triangle must always sum up to 180 degrees. Therefore, isosceles triangles have three congruent angles. These angles are all equal in measure and have the same shape. The angles of each isosceles triangle can be different from other isosceles triangles, but the angles are still congruent to each other. Therefore, isosceles triangles have three congruent angles.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

The total number of workers in the factory is = 240.

It is given that,  

     Male =    85%

    Female = 36

If we assume that the total workers account for 100%, then we know that Female workers account for 15% of the workforce (as 100-85= 15).

Now,

       => 15% = 36

      If,   1%  = 36/15

then, 100% = 36/15*100

                  = 12*20

                  = 240.

Therefore, the answer is 240.

To know more about sums related to workers in a factory, click here:  

https://brainly.com/question/400338

Use an inverse trigonometric ratio to find m∠A. You know the lengths of the ... In △PQR, PR = 23 mm, QR = 39 mm, and m∠R = 163°.

a) The ordered pair so that the set still remains the function is (-5, 17)

b) The ordered pair so that the set does not remain the function is (-26, 15).

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

A Relation is said to be a function if the input value or the x- value is unique and have their corresponding output.

But if the input value repeats then it may no longer be a function.

First, Add a ordered pair so that the set still remains the function as

(-5, 17)

and, Add a ordered pair so that the set does not remain the function as

(-26, 15).

Learn more about Function here:

https://brainly.com/question/12431044

#SPJ1

Answer:

48 = 768* (r)^2

thus, r = 0.25

solving for a(7)

a(7) = 768 * (0.25)^(5)

a(7) = 0.75

Step-by-step explanation:

Answer:

r = - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The common ratio r is calculated as

r = [tex]\frac{a_{8} }{a_{7} }[/tex] = [tex]\frac{-16}{48}[/tex] = - [tex]\frac{1}{3}[/tex]

Answer:

answer is 6 btw does ~ means congruent

Answer:

60%

Step-by-step explanation:

33/55 = 0.6 which is 60%

The scale factor of dilation explains how the size of the figure has changed. An expansion has a scale factor of x > 1 (greater than 1).

A reduction is a scale factor that is 0 <1 (higher than 0 but less than 1).

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.

A dilatation that results in a reduction (imagine shrinking) or an expansion (think stretching) produces a smaller or bigger picture, respectively.

The picture is reduced if the scale factor is between 0 and 1.

The picture is an enlargement if the scale factor is larger than 1.

For more questions on rotation and dilation

https://brainly.com/question/28558697

#SPJ4

Answer:

b

Step-by-step explanation:

Since AB = AC = 25, then the triangle is isosceles

Segment AD bisects BC at right angles , then

CD = BD, that is

4x - 5 = 3x + 4 ( subtract 3x from both sides )

x - 5 = 4 ( add 5 to both sides )

x = 9

Then

BC = 3x + 4 + 4x - 5 = 7x - 1 = 7(9) - 1 = 63 - 1 = 62

Answer:

3x+4=4x-5

3x‐(4x)=-5+-4

x=9

plug in 9 for x on both sides and add them together to find BC

each side is 31,

answer is 62.

Answer:

Step-by-step explanation:

y = 3x + 15 represents a straight line whose y-intercept is (0, 15) and which has the steep positive slope m = 3.

Answer:

it looks like that

Step-by-step explanation:

The value of [tex]x[/tex] is [tex]3[/tex] and [tex]y[/tex] is [tex]2[/tex]

The given equations are

                        [tex]6x+y=20\\x-4y=-5[/tex]

We need to find the value of [tex]x[/tex] and [tex]y[/tex]

First let's take equation [tex]2[/tex]  and we can simplify it

                                 [tex]x-4y=-5\\x=-5+4y[/tex]

Now, let's substitute the value of [tex]x[/tex] in equation [tex]1[/tex], that is

                     [tex]6x+y=20\\6(-5+4y)+y=20[/tex]

We can open the bracket and simplify

                       [tex]=-30+24y+y=20\\=-30+25y=20\\=25y=20+30\\=25y=50\\=y=\frac{50}{25} \\y=2[/tex]

Now we can substitute the value of [tex]y[/tex] in equation [tex]x-4y=-5[/tex]

                       [tex]x-4(2)=-5\\x-8=-5\\x=-5+8\\x=3[/tex]

The complete question is find the value of [tex]x[/tex] and [tex]y[/tex] from the given equations.

To know more about simplifying the equation

brainly.com/question/936650

Answer:

u r correct

look at the picture I sent

Answer:

Its actually 5 you were about 4 away

Answer:

yes

Step-by-step explanation:

120

This is a square pyramid so you know that all four triangular sides are congruent. This means that to solve this problem, which is asking you to find the surface area, you need to find the area of one of these triangles, and multiply that by 4. Next you need to find the area of the square and add it to the areas of the triangles.

Detailed Steps:

Plug in your value, [tex]6^2=36[/tex]

36+84=120.

120 is your final answer.

hope this helped

peace ✌

have anyone figured it out yet? pleaseee i need answer

The probability of choosing an even number that is greater than or equal to 4 is 0.3333 or 33.33%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Tiles with the numbers 1 through 9 are placed in a bag.

The total outcomes will be

Total outcome = 9 {1, 2, 3, 4, 5, 6, 7, 8, 9}

The probability of choosing an even number that is greater than or equal to 4 will be

Favorable event = 3 {4, 6, 8}

Then the probability will be

[tex]\rm P = \dfrac{3}{9}\\\\P = 0.3333\\\\P = 33.33 \%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

Step-by-step explanation:

5x+8-5-x=3

5x + 8 - 5 - x = 3

4x + 3 = 3

4x = 0

x = 0

----------------------------

5 × 0 + 8 - 5 - 0 = 3

8 - 5 = 3

3 = 3

Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.

A relationship between two expressions or values that is not equal is known as an inequality in mathematics. Inequality follows imbalance, therefore. In mathematics, an inequality makes a connection between two values that are not equal. Egality and inequality are different. Different inequalities are employed to contrast values of all sizes. By changing the two sides until only the variables are left, one can solve many straightforward inequalities. But a variety of factors support inequality: Negative values are split or added on either side. Switch between the left and right.

given

the inequality for x 1/3 x - 3 -1 5/6 must first be resolved.

2 plus 3 on both sides

Simply multiply both sides of 1/3x by 3x31/2,

and then graph x31/2 on a number line.

Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.

To know more about inequality visit:

https://brainly.com/question/29914203

#SPJ1

The value of x with points A ( 4, 3 ) and B ( x ,5 ) on the circle and O(2,3) as centre is equal to 2.

As given in the question,

Points A(4,3 ) and B ( x, 5 ) are on the circle.

Centre of the circle is represented by O( 2,3)

OA and OB represents the radius of the circle.

This implies

OA = OB

Using distance formula we get,

√ ( 2 - 4 )² + ( 3 - 3 )² = √ ( 2 - x )² + ( 3 - 5 )²

⇒ √ 4 + 0 = √ 4 - 4x + x² + 4

⇒4 =  4 - 4x + x² + 4

⇒4 - 4x + x² = 0

⇒ ( x - 2 )² = 0

⇒ x - 2 = 0

⇒ x = 2

Therefore, the value of x for the given point of the circle is equal to 2.

The above question is incomplete , the complete question is :

What is the value of x , if the points A(4, 3) & B(x, 5) are on the circles with Centre O(2, 3), find the value of x.

Learn more about circle here

brainly.com/question/29142813

#SPJ4

Answer:

im not sure but I think its 8.3

The initial amount of the investment is $800, the investment grows at the rate of 10% each year, and the value of the investment after 12 years is $1760.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates from the graph.

(0, 800), (1, 880), (2, 968)

x-coordinate is the number of years and the y-coordinate denotes the Value.

Now,

The initial amount of the investment is when x = 0.

= 800

Now,

Rate of change of the value each year.

=(880 - 800) / (1 - 0)

= $80

Rate of percentage.

= 80/800 x 100

= 10%

Now,

The value of the investment after 12 years.

= 800 + 12 x 80

= 800 + 960

= $1760

Thus,

The initial amount of the investment is $800.

The investment grows at the rate of 10% each year.

The value of the investment after 12 years is $1760.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ1

In the case of Typical behavior of the sales prices of houses median is the best term. In the case of Ages of 1st graders mean is the best way of central tendency and for Heights of women mode is the best measure.

First of all we have to know the Mean, median and mode. The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

In the case of typical behavior of the variable sales price of houses, the Median will be the best measure of central tendency because the median will not get affected by the higher/lower prices of houses.

The age of each kid will be almost the same.  In order to represent the typical behavior of the variable Age of 1st graders, the mean will be the best measure of central tendency.

Incase of Heights of women, the mode will be the best measure of central tendency as it will describe the height that most of the females have. 

To learn more about The Mean, Median and Mode please visit:

https://brainly.com/question/14532771

#SPJ4