A nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of calories per serving is plotted on the x-axis against the number of milligrams of sodium on the y-axis. The value of r for the resulting scatterplot is 0.83. Which of the following is a correct interpretation of this value?

a.Each additional calorie is predicted to add approximately 0.83 mg of sodium.
b.There is a positive relationship between calories and sodium. The relationship is weak.
c.There is a positive relationship between calories and sodium. The relationship is strong.
d.As the number of calories increases, the amount of sodium decreases. The relationship is strong.

Answer: Some natural barriers are the Himalayas isolating the Indian subcontinent from the rest of Asia, the Grand Canyon, the Dead sea, and the Mississippi river.

Answer:

Step-by-step explanation:

4a(3a-5+4a^2)

Answer:

Option D

Step-by-step explanation:

The answer is option D or "two yards." You can find the answer by knowing that a yard equals to three feet in length and because Andrew is six feet you can add three and three together giving you a total amount of two yards.

[tex]1y=3ft[/tex]

[tex]3+3=6[/tex]

[tex]1+1=2[/tex]

[tex]=2y[/tex]

Hope this helps.

Answer:

X= 24

la neta no se

Answer:

x = 8.3

Step-by-step explanation:

Triangles always equal to 180 degrees when taking about angles.

The equation would be:

30+(11x+5)+(-5+7x)= 180

add like variables:

30+5-5 = 30

11x+7x = 18x

put them into an equation:

18x +30= 180

cancel out:

18x+30=180

-30 -30

18x = 150

Divide:

18x = 150

÷ 18 ÷18

x = 8.3

This is an estimate as the answer in the calculator would be very long.

Answer:

I think ur and is 4140. but I'm not sure, sorry if its incorrect.

Answer:

What is x-2+5x = 6x-2

What is -4x-10+6x = 2x-10

What is 7+10x+4x-8 = -4x+9

Step-by-step explanation:

Answer:

108.88

Step-by-step explanation:

Given that:

Equation of Regression line obtained for couple's IQ:

y=9.88+0.9x

x represents the IQ score of the husband

The best predicted IQ of wife Given that husband's IQ is 110

y = 9.88 + 0.9(110)

y = 9.88 + 99

y = 108.88

Answer

0.27

Step-by-step explanation:

3 divided by 11

= 0.27

this is it I believe

Answer:

[tex]a=\sqrt{6},\:a=-\sqrt{6}[/tex]

Step-by-step explanation:

Given

as

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

so

[tex]a^2=6[/tex]

[tex]a=\sqrt{b},\:a=-\sqrt{b}[/tex]

Therefore,

[tex]a=\sqrt{6},\:a=-\sqrt{6}[/tex]

Answer:

lal

Step-by-step explanation:

ap3x

Answer:

For any value

Step-by-step explanation:

Answer:

Anything substituted for p should be correct

Step-by-step explanation:

Answer:

ABD = CDB

AB is parallel to DC

Step-by-step explanation:

angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters

AB and DC are parellel because they are the same looking lines just on oppisite sides

As per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.

When two parallel lines are intersected by a transversal, alternate external angles are created.

Given that, m∠A = m∠C = 90° and AB║DC.

In triangles ΔABD and ΔCDB,

m∠A = m∠C = 90°

m∠ABD = m∠BDC (Alternate interior angles)

BD = DB (Common side)

Hence, as per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.

Learn more about the alternate interior angles:

https://brainly.com/question/28380652

#SPJ2

Answer:

a = 1, b = - 3

Step-by-step explanation:

Expand the factors on the left side, then compare the coefficients of like terms on both sides.

left side

(ax + 4)(2x + b) ← expand using FOIL

= 2ax² + abx +8x + 4b

= 2ax² + x(ab + 8) + 4b

Compare coefficients of like terms with those on right side.

coefficients of x² terms

2a = 2 ( divide both sides by 2 )

a = 1

comparing constant terms

4b = - 12 ( divide both sides by 4 )

b = - 3

Answer:

15-20%

Step-by-step explanation:

can u make me brainiest thanks

Answer:

Matches are:

1 and 6

2 and 3

4 and 7

5 and 10

8 and 9

Step-by-step explanation:

First just expand all:

1. 3x + 15

2. 3x + 6

3. 3x +6

4. x - 4

5. x + 6

6. 3x +15

7. x - 4

8. 2x - 4

9. 2x - 4

10. x + 6

Please give brainliest! Thanks, hope this helps!

Answer:

8

Step-by-step explanation:

16/2=8

Answer:

8

Step-by-step explanation:

A bisector bisects a line in HALF. Thus, by dividing 16 in half you will get BC=8.

Answer:

its a -20%changeor a general 20%change

Answer:

8099

Step-by-step explanation:

Answer:

50 ft

Step-by-step explanation:

The concept to apply here is that of laws of sine of an angle where;

Sine of an angle theta = opposite length / hypotenuse

Sin 30° = height of building / length of the web

Sin 30° = h / 100

h = 100 sin 30° = 100 * 0.5 = 50 ft

Answer:

The solutions to the system of the equations are:

[tex]y=1,\:x=3[/tex]

Step-by-step explanation:

Given the equations

[tex]y=\frac{2}{3}x-1;\:y=-x+4[/tex]

solving the system of equation

[tex]\begin{bmatrix}y=\frac{2}{3}x-1\\ y=-x+4\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-\frac{2}{3}x=-1\\ y+x=4\end{bmatrix}[/tex]

[tex]y+x=4[/tex]

[tex]-[/tex]

[tex]\underline{y-\frac{2}{3}x=-1}[/tex]

[tex]\frac{5}{3}x=5[/tex]

[tex]\begin{bmatrix}y-\frac{2}{3}x=-1\\ \frac{5}{3}x=5\end{bmatrix}[/tex]

solving for x

[tex]\frac{5}{3}x=5[/tex]

[tex]5x=15[/tex]

Divide both sides by 15

[tex]\frac{5x}{5}=\frac{15}{5}[/tex]

[tex]x=3[/tex]

[tex]\mathrm{For\:}y-\frac{2}{3}x=-1\mathrm{\:plug\:in\:}x=3[/tex]

[tex]y-\frac{2}{3}\cdot \:3=-1[/tex]

[tex]y-2=-1[/tex]

Add 2 to both sides

[tex]y-2+2=-1+2[/tex]

[tex]y=1[/tex]

Therefore, the solutions to the system of the equations are:

[tex]y=1,\:x=3[/tex]

Answer:

Its a inequality

Step-by-step explanation:

YOUR WELCOME LOVE YOU

Answer:

D.

Step-by-step explanation:

because the lowest y is -3 and the highest is 2

Answer:

It is  

5/7

Explanation:

The number  

5/7

tells you that when  

x

increases of  

1

then  

y

always increases of  

5/7

.

Graphically:

graph{7/7*x [-10, 10, -5, 5]}

Step-by-step explanation:

Answer:

76/100

Step-by-step explanation: 76 is in the hundreds place

Answer:

d. 0.2 ( x + 4 )

Step-by-step explanation:

0.2x + 0.8

Both 0.2x and 0.8 have a common factor of 0.2, hence pull 0.2 out.

0.2x + 0.8

0.2 ( x + 4 )

Answer:

im about to solvee

Step-by-step explanation:

Answer:

60 words per minute...60/1...this is already in unit rate form

Answer:

Step-by-step explanation:

Since we are given the value of y, we can replace it with 5x + 7.

We now have: 3x + 5x + 7 = -9

We can now simplify by adding 3x and 5x to get 8x.

8x + 7 = -9

We can subtract 7

8x = -16

And now, we divide by 8

x = -2

We can check to make sure we are correct

3(-2) + 5 (-2) + 7 = -9

-6 + -10 + 7 = -9

-9 = -9 ✅

x(3y + 2z)

Step-by-step explanation:

Answer:

1 year at 8 percent

Step-by-step explanation:

i took the test