The class scores of a history test have a normal distribution with a mean Mu = 79 and a standard deviation Sigma = 7. If Opal’s test score was 72, which expression would she write to find the z-score of her test score?.

n= the first integer

n + (n+1) + (n+2) + (n+3) + (n+4) + (n+5) = 519

6n + 15 = 519

6n = 594

n = 99

1st one = 99

so 3rd one = 101

Answer:

x < -1

Step-by-step explanation:

9 -10 > x

x< -1

Answer:

x < - 1

Step-by-step explanation:

9 - x > 10 ( subtract 9 from both sides )

- x > 1

multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative value.

x < - 1

Answer:

x+10+x+3x-5= 180

Step-by-step explanation:

5x+5=180

5 x = 175

X= 175/5

x=35

Answer is J

see the full solution in the photo

Answer:

J

Step-by-step explanation:

2(-1^2) - 4(-2) +6

=2 (1) +8 +6

=2+8+6

=16

Answer:

a=57 b=62

Step-by-step explanation:

u⁰=52

u¹=a

u²=b

u³=67

Use the explicit relation given by:

u(n)=u⁰+nd

where n is any term and d is the common difference.

u³=u⁰+3d

67=52+3d

3d=67-52

d=15/3

d=5

a=52+5=57

b=a+5=62

67=b+52=62+5=67 (just to make sure of the answer)

Answer:

Yes

Step-by-step explanation:

1 ton = 2000 pounds

6 tons = 12000 pounds

13000>12000

The truck is 1000 pounds overweight so yes it is too heavy to cross the bridge.

Answer: 29 with the Remainder of 4

Step-by-step explanation:

Answer:

29 Remainder 4

Step-by-step explanation:

Answer:

because there is 1 arc on both meaning they are congruent

Step-by-step explanation:

What is the probability of an event that is impossible?

p = 0

Answer:

The probability is 0.

Step-by-step explanation:

The probability of an impossible event is 0, or 0%.

Answer:

(-45,0)

Step-by-step explanation:

We know that the x intercept is the point where y equals '0' in an equation. Which means in a function including the y value as a variable, we can substitute 0 for y to get the x intercept!

Here's how you do it:

[tex]1/3x + y = -15\\y=0\\1/3x + (0) = -15\\1/3x = -15\\x = -45[/tex]

That makes the x intercept -45!

Hope I was of assistance!  #SpreadTheLove <3

x- intercept = -45

Step-by-step explanation:

equation: 1/3x + y = -15

=> to find intercept, y=0

=> 1/3x + 0 = -15

=> 1/3x = -15

=> 1x = -15 × 3

=> x = -45 / 1

=> x = -45

Answer:

53

Step-by-step explanation:

We can use the Pythagorean Theorem to find x.

Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

Where "a" and "b" represent the legs and "c" represents the hypotenuse of the right triangle.

Let's substitute the given lengths into the equation:

[tex]28^2+45^2=x^2\\784+2025=x^2\\x^2=2809[/tex]

Take the square root of both sides:

[tex]\sqrt{x^2}=\sqrt{2809}[/tex]

[tex]x=53[/tex]

Answer:

37.5% of his cards

Step-by-step explanation:

i d k how many cause you didnt give a starting number.

Answer:

y-3=3(x-4)

Step-by-step explanation:

Hi there!

We are given that a line intersects the points (4, 3), and (6, 9)

The slope of this line is 3

And we want to write an equation in point-slope form using (4, 3)

Point-slope form is written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

We already have one point of the equation filled out -- the [tex]y_1[/tex], which in this case, is 3;

Our current equation is:
[tex]y-3=m(x-x_1)[/tex] (n.b. I put m and [tex]x_1[/tex] as place holders)

Before we proceed though, let's label the values of the other things (m and [tex]x_1[/tex]) to avoid confusion:
[tex]x_1=4\\m=3[/tex]

Now we can substitute these into the equation:

y-3=3(x-4)

Hope this helps!

See more on writing equations in point-slope form here: https://brainly.com/question/1616074

Answer:

[tex]Hence,\ the\ equation\ is\ \fbox{$y-3=3(x-4)$}\[/tex]

Step-by-step explanation:

            [tex]Given,[/tex]
                [tex]points=\left(4,3\right)R\left(6,9\right)[/tex]

     [tex]To\ find!-the\ equation\ of\ line.[/tex]

[tex]Solution:-We\ know\ that\ the\ slope\ of\ the.[/tex]
                   [tex]line\ is\ given\ by[/tex]

     [tex]slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}[/tex]

               [tex]m=\frac{9-3}{6-4}=\frac{6}{2}=3[/tex]

  [tex]The\ equation\ of\ line\ in\ point-slope\ form[/tex]
     [tex]using\ the\ point\ \left(4,3\right)\ will\ be[/tex]
  [tex]y-y_1=m\left(x-x_1\right)[/tex]
  [tex]y-3=3\left(x-4\right)[/tex]

I hope this helps you

:)

Answer

Step-by-step explanation:

Question is not clear. Is 4y being divided only by 7z or is the whole expression (3x - 4y)?

Answer:

It's B

Step-by-step explanation:

Multiple the denominator with the whole number, then take that number and add it with the numerator. So you'll have 12/5 x 19/4. Multiply the numerators with each other and the denominators with each other and you'll have 228/20. Divide 228 by 4 and you'll get 11 2/5.

Step-by-step explanation:

straight south is 180°.

so it is 180° 20'.

straight west is 270°.

so, it is 270° 0' 30".

Answer:

x > 125

Step-by-step explanation:

I'm not sure how much you know about solving equations, but solving inequalities is in many ways very similar.

In this inequality, to isolate x, we must multiply both sides of the inequality by 25. This will put x by itself with another number on the other side of the inequality symbol. 5 times 25 is 125, so our final inequality is x > 125.

Hopefully, that's helpful! Let me know if you have any more questions.

Answer:

300 ≥ 20 + 40x

Step-by-step explanation:

where x is the amount of racquets being bought

can i get brainliest please?

Answer: See attached image

Step-by-step explanation:

2x +12=-4

2x= -4-12

2x=-16

x=-16/2

x= -8

Step-by-step explanation:

2x+12=-4

2x=-4-12

x=-16/2

x=-8

hope this helps you

have a good day.

Answer:

[tex](n - 3)^2 = 7[/tex]

Step-by-step explanation:

From the question, we understand that the number is n.

Three less than n is:

[tex]n - 3[/tex]

The square is:

[tex](n - 3)^2[/tex]

The square equals 7;

So, we have:

[tex](n - 3)^2 = 7[/tex]

Answer:

improper fraction- 39/8

mixed fraction- 4.875

Answer:

fraction is called as the part of a whole

Answer:   [tex]\sqrt{6}[/tex]

This is the same as typing in sqrt(6)

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

Explanation:

The square has all four sides the same length, which in this case is [tex]\sqrt{3}[/tex] units.

The diagonal of the square splits it into two identical right triangles.

Use the Pythagorean Theorem to find the hypotenuse x, aka the diagonal.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\x = \sqrt{\left(\sqrt{3}\right)^2+\left(\sqrt{3}\right)^2}\\\\x = \sqrt{3+3}\\\\x = \sqrt{6}\\\\[/tex]

Or you can take the shortcut

[tex]\text{hypotenuse} = (\text{leg})*\sqrt{2}\\\\x = \sqrt{3}*\sqrt{2}\\\\x = \sqrt{3*2}\\\\x = \sqrt{6}\\\\[/tex]

Which applies to 45-45-90 right triangles.

let's recall that a square has four equal sides, Check the picture below.

i cant understand it much.

Answer:

Step-by-step explanation: Jordan's batches have 18 muffins a piece he made 7 bathes so 7 times 18 equals 126 muffins. Raj's batches have 15 muffins per batch which he also makes 7 batches of so 7 times 15 is 105. The boys then add all their muffins together so 126 muffins plus 105 muffins is 231 muffins. They then have to divide the muffins into boxes that can hold up to 6 muffins each so  you are dividing 231 divided by 6 so the answer is 38 full boxes and 3 muffins left in the last box ( I just took the test and that was the answer)

Answer:

C

Step-by-step explanation:

f(x) - g(x)

= [tex]\sqrt{x}[/tex] - x - (2x³ - [tex]\sqrt{x}[/tex] - x) ← distribute parenthesis by - 1

= [tex]\sqrt{x}[/tex] - x - 2x³ + [tex]\sqrt{x}[/tex] + x ← collect like terms

= - 2x³ + 2[tex]\sqrt{x}[/tex]