The probability Kayla will score above 70% on a mathematics test is 0.60. Kayla will take four tests this semester. We want to find the probability she will score above 70% on exactly three out of the four tests. What is the probability of Kayla scoring above 70% on exactly three out of the four tests

The constant proportionality is 1 to 48Step-by-step explanation:72 / 1.5 = 48

Answer:

We are given the table of a linear function

Since we have to find the equation of the function in the slope-intercept form,

we require the slope as well as the y-intercept

Finding the slope:

We know that slope of a line is Rise / Run

Since from the graph, we notice that the difference of 2 consecutive x-coordinates is 1

Hence, we have the x-coordinates at an interval of 1 and since the slope of a line is defined as the units ascended by the line after covering 1 unit in the x-coordinate

change in y = y[tex]_{n}[/tex] - y[tex]_{n-1}[/tex]       (where n is the number of row in the table)

change in y = 31 - 23

change in y = 8 = Rise

Run = 1 (Since the interval in the table is 1)

Slope = Rise / Run

Slope = 8 / 1

Slope  = 8

Finding the y-intercept:

We need the y-coordinate at x = 0

Going up from the third row, we notice that for every unit decreased in the x-coordinate , 8 units of the y-coordinate are decreased (since the slope =8)

In that case, the y-coordinate of every decreased x-coordinate will be 8 less than the last one

so we can say that the y-coordinate of x = 1 will be 8 less than 23 since x=1 is one less than x = 2

similarly, we can also say that the y-coordinate of x = 0 will be 8 less than (23-8) since x = 0 is one less than x = 1

Therefore, the y-coordinate at x =0

y = (23-8-8)

y-intercept  = 7

Making the Equation:

We need to write the equation in the form:

y = ax + b (where a is the slope of the line and b is the y-intercept)

Replacing the known values, we get

y = 8x + 7

Therefore, the equation of the formula shown in the table is y = 8x + 7

Answer:

635,298

Step-by-step explanation:

We can group these by base ten values. 6 hundred thousands, 3 ten thousands, 5 thousands, 2 hundreds, 9 tens, and 8 ones. When putting them into place, we can go by order in which we will ger 635298

Answer:

635,298

Step-by-step explanation:

add all the numbers together to get the sum of your answer.

Answer:

d = 3√3

Step-by-step explanation:

cos(ACB) = AC/BC

cos(30°) = 9/BC

BC = 6√3

AB² + AC² = BC²

d² + 9² = (6√3)²

d = 3√3

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Answer:

7/8 (0.875)

adjacent/hypotenuse

The given congruency of the sides [tex]\mathbf{\overline{BE}}[/tex] and [tex]\mathbf{\overline{LO}}[/tex]  and [tex]\mathbf{\overline{BO}}[/tex] and [tex]\mathbf{\overline{LE}}[/tex] as well

as the congruency of the common side [tex]\mathbf{\overline{BL}}[/tex] gives.

ΔBEL ≅ ΔLOB by SSS congruency postulate

The completed two column proof is presented as follows;

Statement [tex]{}[/tex]                                          Reasons

1. [tex]\underline{\overline{BE} \cong \overline{LO}}[/tex]                       [tex]{}[/tex]                  1. Given

2. [tex]\overline{BO}[/tex] ≅ [tex]\overline{LE}[/tex]                       [tex]{}[/tex]                 2.

3. [tex]\underline{\overline{BL} \cong \overline{BL}}[/tex]                       [tex]{}[/tex]                  3. Reflexive property of congruency

4. ΔBEL ≅ ΔLOB                     [tex]{}[/tex]           4. SSS congruency postulate

Side-Side-Side, SSS, congruency postulate states that if three sides of

one triangle are congruent to three sides of another triangle, the two

triangles are congruent.

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Start with the formula for finding the area of a circle.

A=πr2

First, substitute the given information in the equation. You have the area and you know that pi is 3.14.

153.86=(3.14)r2

Next, divide the area by pi. This will help to get one step closer to figuring out the radius.

3.14)153.86¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Remember, when you divide decimals, to move the decimal two places in the divisor and the dividend.

314)15386¯¯¯¯¯¯¯¯¯¯¯¯¯¯

314)15386¯¯¯¯¯¯¯¯¯¯¯¯¯¯  49− 1256  ––––––––  2826  − 2826–––––––0

So far, the answer is 49, but that is not the radius because r2 is on the right side of the equal sign.

49=r2

Then, you need to figure out which number times itself is equal to 49. You can figure this out by finding the factors of 49.

7×7=49

Now, you know that the radius is 7 inches because 7×7=49.

The radius is 7 inches.

Finally, to figure out the diameter, which is twice the radius, multiply the radius by 2.

7×2=14

The diameter is 14 inches.

hope this helps.

The radius covered by the tower will be 20 miles.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that a cell phone tower services about 1,256sq. miles. The area of the circle will be calculated by the formula,

Area = πr²

1256 = π x r²

r² = ( 1256 / π )

r² = 400

r = √400

r = 20 miles

Hence, the radius of the circle will be 20 miles.

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Answer:

Depends on what sequence it is. For geometric it's 7/5 and for arithmetic - 2

Step-by-step explanation:

For n = 3:
a, = 1*2*3 - 1 = 5
For n = 4:
a, = 8 - 1 = 7

These are the terms for n = 3 and n = 4 but the thing is, this could be both geometric sequence and arithmetic sequence, since you didn't specify, here are the possible answers:

For geometric sequence, the rate of change is equal to An / An-1 therefore:
r = 7 /5

For arithmetic sequence, it's equal to A2 - A1 = 7 - 5 = 2

Answer:

Your answer is: -2y - x

Factor the polynomial.

Step-by-step explanation:

Hope this helped : )

Answer:

Step-by-step explanation:

answer: the original number is 62.

Given :

Units digits is thrice the tens digit

The digits interchange when - 36 is added

To find :

The number

Solution :

✯

Let the digits be -

   Units place as 3y

   Tens place as 10(y)

⇒ 10(y) + 3y

⇒ 10y + 3y

⇒ 13y --------- (Orignal Number)

✯

Let the digits be -

   Units place as y

   Tens place as 10(3y)

⇒ 10(3y) + y

⇒ 30y + y

⇒ 31y --------- (Number with reversed digits)

✯

The number gets reversed when 36 is added to it.

⇒ 13y + 36 = 31y

⇒ 13y - 31y = - 36

⇒ 18y = 36

⇒ y = 36/18

⇒ y = 2

✯

⇒ 13y

⇒ 13(2)

⇒ 26

✯

The units place should be thrice of the tens place,

⇒ 2 × 3 = 6

Units place is 6

Reversed digits are 62,

⇒ 26 + 36 = 62

⇒ 62 = 62

The Orignal Number is 62.

Answer:

  {-3, 4, 8, 10, 11}

Step-by-step explanation:

The ordered pairs are usually defined as (input, output). That is, the input values of the relation are all of the first-numbers of the pairs:

  {8, -3, 11, 10, 4}

We usually like to list members of a set in numerical order:

  {-3, 4, 8, 10, 11} . . . . input values of the relation

Answer:

Step-by-step explanation:

y intercept for top is 0,4 and the line should go up by 3 lines and over by 1 everytime

y intercept for below is 0,2 and the line should go up by 1 line and over by 1 line everytime.

Answer:

1 person = 0.75

1 person = 3/4

Step-by-step explanation:

This answer is at best a guess. It seems to me that you are constructing a circle graph, and I would like that confirmed.

The total number of people in the survey is

Total in survey = 96 + 60 + 24 + 96 + 204

Total in survey = 480

A circle contains 360 degrees.

480 people have 360 degrees of circle room

1  person has x degrees of circle room

480 / 1 = 360 / x

Cross multiply

480 x = 360 *1       Divide both sides by 480

x = 360 / 480

x = 0.75

One person takes 3/4 of a degree of the circle.

So the number of people wanting to go to the UK would be

96 * 0.75 = 72 degrees,

For each part of the table, just use what the frequency is for that entry where 96 is now.

Answer:

b. K J L

Step-by-step explanation:

angle opposite the largest side is the largest angle

largest side is JK which is 15 so the angle opposite of , L, is the largest angle

Answer:

x=    -2         -3

Step-by-step explanation:

4x+12-72x+3x+3

15-65x

5(3-13x)

pls heart and give brainliest much appreciated

Answer: 5(3-13x)

Step-by-step explanation:

4x+12-72x+3x+3

15-65x

5(3-13x)

Answer:

2

Step-by-step explanation:

because

the pizza will be shared according to the total number of people zo

1/4×2=2

Answer:

it is b

Step-by-step explanation:

just try halfing it

Hey there!

RANDOM FACTOID:

‘‘f(x)’’ or ‘‘g(x)’’ is understood to be “y”

f(x) = 2x

f(x) = 2(3)

f(x) = 2 + 2 + 2

f(x) = 4 + 2

f(x) = 6

Therefore, your answer is: f(x) = 6

g(x) = 5x

g(x) = 5(3)

g(x) = 5 + 5 + 5

g(x) = 10 + 5

g(x) = 15

Therefore, your answer is: g(x) = 15

OVERALL ANSWER: f(x) = 6 or g(x) = 15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

No

Step-by-step explanation:

no on the first day he drove 40mph the second day he drove 33 mph

The number of hits of the baseball player when batting is the average of hit

The expected number of hits in a bat of 4 is 1

The given parameters are:

The battling average, p = 0.250

The number of bats, n = 4

The number of hits in the bat is the average of hit, and it is calculated as:

[tex]E(x) = np[/tex]

This gives

[tex]E(x) = 4 * 0.250[/tex]

Evaluate the product

[tex]E(x) = 1[/tex]

Hence, the expected number of hits in a bat of 4 is 1

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Answer:

Step-by-step explanation:

= (3.26 + 9.75) d - 2.65

= 13.01 d - 2.65

Answer:

895

Step-by-step explanation:

There's a repetitive pattern of adding +10 each time.

Answer:

Y= -5/2x +16

Step-by-step explanation:

To solve this, understand that (-8,4) is (x,y)

And Slope intercept form is y=mx +b

Since you have a possible x and y with - 8 and 4, sub that in making it 4=m(-8) + b

We also have the Slope (or M) which is -5/2, sub that in and get 4 = -5/2 (-8) + b

Do the multiplication and get 4= 40/2 +b

Simplify to 4= 20 + b

Then re-arrange to have the unknown (b) on one side and known on the other (when you move a number over the equal sign its sign, positive or negative, becomes the opposite)

B= 20-4

Subtract

B= 16

Now you know the b and can add it to your equation,

Y= -5/2x +16

Answer:

y = -5/2x - 16.

Step-by-step explanation:

First use the point-slope form of a line:

y - y1 = m(x - x1)

y - 4 = -5/2(x - (-8))

y - 4 = -5/2x - 40/2

y =  -5/2x - 20 + 4

y = -5/2x - 16.

Answer:

245

Step-by-step explanation:

The lift can only handle 300lb then subtract the 55lb chair, and the lift will be able to hold a 345lb person in the chair.

Answer:

2(15 *4)=120

2(5*4)=40

2(15*5)=150

Total = 310mm^2

Second picture:

7k+14

36d+144

Answer:

surface area = 2(5 × 4) + 2(15 × 4) + 2(15 × 5) = 310 mm²

  7(k + 2)

= 7×k + 7×2

= 7k + 14

  12(3d + 12)

= 12×3d + 12×12

= 36d + 144

surface area rectangular prism = 2(4 × 5) + 2(15 × 4) + 2(15 × 5) = 310 cm²

  5x + 7x - 2

= 12x - 2

  4 + 3g - g + 2g

= 4g + 4

  2 + 4g + 7g + 5

= 11g + 7

We will find the probability of getting each color of marble, and we will see that getting red and blue is equally likely, while getting green is less likely.

If we draw a marble at random from the box, all of them will have the same probability of being drawn.

Then the probability of getting a given color is given by the quotient between the number of marbles of that color and the total number of marbles.

Probability of getting red:

P = 11/25 =  0.44  This is really close to 50%, so this is equally likely.

Probability of getting blue:

P = 11/25 =  0.44  This is really close to 50%, so this is equally likely.

Probability of getting green:

P = 3/25 = 0.12 This is really close to 0%, so this is less likely.

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Answer:

I found the area its 168, I converted it to square yards 0.12963.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula

Area = (b1 + b2) * h /2

Givens

b1 = 5       yards

b2 = 23    yards

h = 12       yards

Solution

Area = (5 + 23)*12 / 2

Area = (28)*12/2        Divide by 2

Area = 28*6               Combine

Area = 168                  Yards^2

Answer:

12 pesos

Step-by-step explanation:

Answer:

Sergio added 2 instead of multiplying 2

Step-by-step explanation:

If Sergio's sister found 6 pennies that means that Sergio should've found 3 but instead of multiplying 2 he added 2.

The solution when multiplied 6 times 3 and then dividing by 2 is 9.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that,

Multiply six times three then divide by two.

First we have to multiply 6 times 3.

6 × 3 = 18

Then we divide the answer by 2.

18 ÷ 2 = 9

Hence the solution is 9.

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