When a hockey team gets possession of the puck, the following probabilities have been
estimated:
They carry the puck over the opposing blue line 0.6.
• They get a shot on net 0.3.
• They get a shot and score 0.01
• They cross the blue line and score 0.005.
Determine the probability that they score given that they get a shot.

Answer:

x = ±6

Step-by-step explanation:

5x^2 = 180

Divide each side by 5

5x^2/ 5 = 180/5

x^2 = 36

Take the square root of each side

sqrt(x^2) = ± sqrt(36)

x = ±6

Answer: x = 6 or x = -6

Step-by-step explanation: First, isolate the x squared by dividing both sides by 5 to get x² = 36. Now, since x is squared, we simply take the square root of both sides of the equation to get x by itself.

When we take the square root of both sides of an equation,

we must always make sure to use plus or minus!

So x = ±5 and you can write your answer as the solution set {6, -6}.

Given:

The expression is:

[tex]789\times 175-75\times 789[/tex]

To find:

The value of the given expression by using the suitable properties of whole numbers.

Solution:

We have,

[tex]789\times 175-75\times 789[/tex]

Using the commutative property of multiplication, we get

[tex]789\times 175-75\times 789=789\times 175-789\times 75[/tex]

Using the distributive property of addition over multiplication, we get

[tex]789\times 175-75\times 789=789\times (175-75)[/tex]

[tex]789\times 175-75\times 789=789\times 100[/tex]

[tex]789\times 175-75\times 789=78900[/tex]

Therefore, the value of the given expression is 78900.

Answer:

width = 7 cm

Step-by-step explanation:

63 / 9 = 7

Therefore, 7 * 9 = 63cm cube

Answer:

7

Step-by-step explanation:

63 ÷ 9 = 7

63 ÷ 7 = 9

9 x 7 = 63

:D

Answer:

3

Step-by-step explanation:

let the no of people who share the meal be x

each member paid $17

total cost of meal=$51

so ur equation is

$17x=$51

x=$51/$17(here $ and $ also gets cancel)

x=3

therefore three menber shared the meal.

Note:when  in multiplication when u transfers the number to other side it changes into mltiplication.For example

$17=$51

here $17 is multiplied with x and when we bring $17 to right hand side it divides $51.

Answer:

[tex]17x = 51 \\ \frac{17x}{17} = \frac{51}{17} \\ x = 3[/tex]

Step-by-step explanation:

The error was that the learner subtracted both sides instead of dividing both sides. The student was supposed to divide both sides by 17 to get the answer.

Answer:

they are NOT similar!

Step-by-step explanation:

the angles are not conguent or they are not the same in words

the don't add up with the same sum of angles,

so your explanation would be:

45 plus 29 has a sum of 74 for the right triangle and the left triangle has angles 106 degrees plus 29 degrees with a sum of 135 degrees, there-fore the triangles aren't similar because the angles are not equal to each other

9514 1404 393

Answer:

  ∆AFN ~ ∆SHE . . . . AA~

Step-by-step explanation:

The third angle in triangle HSE is ...

  180° -45° -29° = 106°

This means two angles in ∆SHE match two angles in ∆AFN. (106° and 29°) The triangles are similar by AA~.

Listing vertices in order of smallest-to-largest angles, the similarity statement is ...

  ∆AFN ~ ∆SHE . . . . AA~

Answer: The diagram is shown below

==============================================================

Explanation:

If you graphed y = (x-5)(x+5) on the xy grid, then you'd see a parabola forming. This parabola has x intercepts at -5 and 5. The parabola opens upward.

If x < -5, then (x-5)(x+5) is positive. Let's say x = -6

(x-5)(x+5)

(-6-5)(-6+5)

(-11)(-1)

11

So if x = -6, then y = (x-5)(x+5) becomes 11 which is positive. If you picked any other value less than -5, then (x-5)(x+5) is positive.

Similarly, if x > 5, then (x-5)(x+5) is also positive for similar reasoning. Try x = 6 to see what happens. The actual value itself doesn't matter. All we care about is if the result is positive or negative.

It's only when -5 < x < 5 that (x-5)(x+5) is negative. Consider x = 0 which is between -5 and 5

Plugging x = 0 leads us to

(x-5)(x+5)

(0-5)(0+5)

(-5)(5)

-25

Showing that (x-5)(x+5) is negative on the interval -5 < x < 5

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

Going back to the original inequality, we want to know when (x-5)(x+5) is positive or 0

We found that (x-5)(x+5) is positive when x < -5 or when x > 5

(x-5)(x+5) is equal to zero when x = -5 or x = 5

So overall, the solution we want is [tex]x \le -5 \ \text{ or } \ x \ge 5[/tex]

To graph this on a number line, we plot closed filled in circles at -5 and 5. Then we shade everything that is not between these two circles (so we shade everything except the interval -5 < x < 5).

The graph is below.

Answer:

x=3800, y=4400

Step-by-step explanation:

X+y=8200 equation 1

15x+25y=167000 equation 2

x=8200-y isolate x in equation 1

15(8200-y)+25y=167000 substitute value of x from equation 1 into equation 2

123000-15y+25y=167000

10y=44000

y=4400

solve for x by inserting y value into either equation.

x+y=8200

x+4400=8200

x=3800

Check answer:

15x+25y=167000

15(3800)+25(4400)=167000

57000+110000

167000=167000

Answer:

C) x/21

Step-by-step explanation:

Since Person 1 can complete the entire job (100% = 1/1 = 1) in 21 minutes, this person can complete 1/21 of the job per minute. This is Person 1's rate. If x is the amount of time it takes both people together to finish the job, then the amount of work Person 1 does would be (1/21)(x) = x/21.

Everything has been explained in there

Answer:

0.71 is the unit price

Step-by-step explanation:

all u gotta do is divide 3.55 by 5 to find out how much it cost each:)))

hope this helps!!!!

please mark brainiest<3

Given:

The table of values.

To find:

The function for the given table.

Solution:

From the given table it is clear that the y-values are same as the corresponding x-values. It means y is directly proportional to x with 1 as a constant of proportionality.

Mathematically, it can be defined as:

[tex]y=1\times x[/tex]

[tex]y=x[/tex]

Substitute [tex]y=f(x)[/tex] in the above equation to find the required function.

[tex]f(x)=x[/tex]

Therefore, the correct option is A.

Answer:

-¹/5.

Step-by-step explanation:

hope it helps you mark me as branliest

Answer:

x =5

Step-by-step explanation:

Formulas used

[tex]log_a \ x = b\\\\=>x = a^b\\\\(\frac{1}{a})^{-1} = a[/tex]

Solution :

      [tex]log_{\frac{1}{5}} \ x = -1\\\\x = (\frac{1}{5})^{-1}\\\\x = \frac{1}{5^{-1}} = 5[/tex]

Answer:

True

Step-by-step explanation:

Sin t = 0.6

t = Sin⁻¹ (0.6) = 36.86

Cos t = 0.8

t = Cos⁻¹ 0.8 = 36.86

Answer:

2,900 plums left

Step-by-step explanation:

3,000 plums - 100 sold plums = 2,900 plums left

Answer:

2900

Step-by-step explanation:

3000 (plums) - 100 (plums sold) = 2900 (plums left.)

You didn't say how much money you started out with by the plums.

Answer:

C

Step-by-step explanation:

y=mx+b where m =slope and b= y intercept

m=y-y/x-x or 3-1/1-0 or 2

B is where the line crosses the x axis or 1

So y=2x+1

Answer:

y = 70

x = 70

is the answer. mark me as brainliest

Step-by-step explanation:

Measure angle <1=<4 letter f

Then 3x-160=x+20

2x=180

Then x=90

Answer:

10 :)

Step-by-step explanation:

I hope this helped :)

Answer:

x = 2

Step-by-step explanation:

The axis of symmetry is a vertical line passing through the vertex, with equation

x = c ( c is the x- coordinate of the vertex ) , then

x = 2 ← equation of axis of symmetry

Answer:

x=2

Step-by-step explanation:

To find the axis of symmetry for a quadratic, you use the formula:

[tex]x=-2ba[/tex]

Looking at the chart, we can see that [tex]b=-1[/tex] (the vertical shift) and [tex]a=1[/tex] (the slope. Plugging these values into the formula, we get:

[tex]x=-2(-1)(1)=2[/tex]

Therefore, [tex]x=2[/tex] is the axis of symmetry.

The much simpler way of determining this, however, is simply looking at the graph and finding where the vertex is. It is given here that the vertex point is (2, -1) and the graph is mirrored horizontally so you can simply take the x-coordinate and that will be the axis of symmetry. If the parabola was mirrored vertically, the axis of symmetry would then be the y-coordinate of the vertex.

Answer:

4

Step-by-step explanation:

just 4 -_-

4x^2-20x

=4(x^2-5x)

so the value is 4

By solving the quadratic equation, the value of A is 4

Option (3) is correct.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2}+bx+c=0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.

Given quadratic equation

[tex]4x^{2} -20x+3=0[/tex]

⇒ [tex]4x^{2} -20x=-3[/tex]

By taking 4 as common in [tex]4 x^{2}[/tex] and 20x

⇒ [tex]4(x^{2} -5x)=-3[/tex]...................(1)

According to the question by solving the quadratic equation. Mariya got, [tex]A(x^{2} -5x)=-3[/tex] .....................(2)

By comparing equation 1 and 2 we can clearly see that A = 4

Hence, by solving the quadratic equation, the value of A is 4

Option (3) is correct.

Learn more about quadratic equation here

https://brainly.com/question/1863222

#SPJ2

Answer:

A

Step-by-step explanation:

Answer:

The coefficient of d that will make equation equal is -0.9

Step-by-step explanation:

Given

Left hand side equation = {–1/3}(2.7d + 1.8)

Simplifying LHS we get -

-0.9 d -0.6

Hence, the coefficient of d that will make equation equal is -0.9

Answer:

40.6944 is your answer

Step-by-step explanation:

3.6×3.14=11: 3.6×3.6=40.6944 /41

Answer:

C. 1 centimeter = 30 meters

[tex]10 \: cm = 300 \: m \\ 1 \: cm = ( \frac{1}{10} \times 300) \: m \\ = 30 \: m \\ \\ 5 \: cm = 150 \: m \\ 1 \: cm = 30 \: m[/tex]

Answer:

y = 8/3

Step-by-step explanation:

x = -2

y = 2/(3*-2) + 3

y = 2/-6 + 3

y = -1/3 + 3

y = -1/3 + 9/3

y = 8/3

Answer:

the last one.

Step-by-step explanation:

Because there is 4 parts and one of them is red

Answer:

1/4

Step-by-step explanation:

All four areas are equal in area / circumference.

When spinning, each colour has equal probability, so 25%, or 1/4.