Which situation best describes negative correlation? a. The amount of job experience and pay b. Salary and number of children c. Exercise and health d. Hours of TV viewing and test grades

Answer:

73.2km

Step-by-step explanation:

first you have to decompose 46 km into y and x components.

x=sin40°*46km

x=0.64*46km

x=29.44km

y=cos40°*46km

y=0.76*46km

y=34.96

now you add the y components together

32+34.96=66.98

finally use Pythagorean thereom to find the resultant vector.

a*a+ b*b=c*c

66.98*66.98+29.44*29.44=c*c

c*c= 4486.3+866.7

c=√5353

c=73.2 km this is the approximate value

Answer:

Step-by-step explanation:

The Area of the rectangular field is expressed as A = LB and its perimeter

P = 2(L+B)

L is the length of the rectangular field

B is the Breadth of the rectangular field

If the length of a rectangular field is twice its breadth i.e L = 2B and the area is 98m² then;

98 = LB

98 = 2B*B

98 = 2B²

B² = 98/2

B² = 49

B = √49

B = 7m

if B = 7m

L = 98/B

L = 98/7 = 14m

The perimeter of the field P = 2(L+B)

P = 2(14+7)

P = 2*21

P = 42m

The perimeter of the field is 42m.

The length of the diagonal of the field can be expressed using Pythagoras theorem.

d = √L²+B²

d = √14²+7²

d = √196+49

d = √245

d = 15.7m ≈ 16m

Hence, the approximate length of the diagonal of the field is 16m

Answer:

[tex]\boxed{Median = 152}[/tex]

Step-by-step explanation:

Observation = 568 , 254 , 152 , 101 , 100

In ascending order:

=> 100 , 101 , 152 , 254 , 568

Median is the middlemost no. So here:

Median = 152

Answer:

152

Step-by-step explanation:

If you set the data in an ascending order, you will find 152 to be the middle value, thus being the median

Answer:

A

Step-by-step explanation:

The domain does not exist when the denominater of an equation is zero. So in this case if x was -2 and we added 2 the denominator would be zero, and that value does not exist in the domain. Hope this helps!

Answer:

b = [tex]\frac{2A}{h}[/tex]

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex] bh

Multiply both sides by 2 to clear the fraction

2A = bh ( divide both sides by h )

[tex]\frac{2A}{h}[/tex] = b

Answer:

A) y=1/2x+3

Step-by-step explanation:

Answer:

option 1 & option 5

Step-by-step explanation:

In a parallelogram,

1) opposite sides are congruent

2) So, PS = QR = 31

Answer:

Opposite sides are congruent

PS = 31

Step-by-step explanation:

based on what I learned when I was grade 9 and this topic is one fof my favorite so Yeh

hope its correct (～￣▽￣)～

Answer:

Yes, it would be statistically significant

Step-by-step explanation:

The information given are;

The percentage of jawbreakers it produces that weigh more than 0.4 ounces = 60%

Number of jawbreakers in the sample, n = 800

The mean proportion of jawbreakers that weigh more than 0.4 = 60% = 0.6 = [tex]\mu _ {\hat p}[/tex] =p

The formula for the standard deviation of a proportion is [tex]\sigma _{\hat p} =\sqrt{\dfrac{p(1-p)}{n} }[/tex]

Solving for the standard deviation gives;

[tex]\sigma _{\hat p} =\sqrt{\dfrac{0.6 \cdot (1-0.6)}{800} } = 0.0173[/tex]

Given that the mean proportion is 0.6, the expected value of jawbreakers that weigh more than 0.4  in the sample of 800 = 800*0.6 = 480

For statistical significance the difference from the mean = 2×[tex]\sigma _{\hat p}[/tex] = 2*0.0173 = 0.0346 the equivalent number of Jaw breakers = 800*0.0346 = 27.7

The z-score of 494 jawbreakers is given as follows;

[tex]Z=\dfrac{x-\mu _{\hat p} }{\sigma _{\hat p} }[/tex]

[tex]Z=\dfrac{494-480 }{0.0173 } = 230.94[/tex]

Therefore, the z-score more than 2 ×[tex]\sigma _{\hat p}[/tex] which is significant.

Answer:

Step-by-step explanation:

min 452, max 507, so 494 is not unusual.

Answer:

23/30

Step-by-step explanation:

x/y

(3 5/6)/(3 3/4)

((3*6)+5/6)/((3*4)+ 3/4)

(18+5/6)/(12+3/4)

(23/6)/(15/4)

(23/6)*(4/15)

(23*3)/(6*15)

(69/90)

23/30

Answer:

1 1/45

Step-by-step explanation:

Answer:

  (-8,10)

Step-by-step explanation:

hope i helped!

u can substitute if u want to recheck

can i get brainliest pls?

-Zylynn

Notice that

2010 ≡ 1 mod 2009

2011 ≡ 2 mod 2009

2012 ≡ 3 mod 2009

...

4017 ≡ 2008 mod 2009

4018 ≡ 0 mod 2009

So really, S is just the sum of the first 2008 positive integers:

[tex]S=\displaystyle\sum_{n=1}^{2008}n=\frac{2008\cdot2009}2[/tex]

where we invoke the formula

[tex]\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2[/tex]

and so S ≡ 0 mod 2009.

Answer:

The answer is option A.

The number of friends you invited to your last party

Hope this helps you

Answer: Nothing

Step-by-step explanation:

If you multiply the numerator and denominator of a fraction by any number(apart from 0), it doesn't change.

Hope it helps <3

Answer:

it is the same

Step-by-step explanation:

it is decreasing not increasing

Answer:

150

Step-by-step explanation:

Answer:

All the points change, there are no invariant points

Step-by-step explanation:

The given parameters are

To translate the square OABC by the vector  [tex]\dbinom{1}{3}[/tex], we have;

The coordinates of the point O is (0, 0)

The coordinates of the point A is (3, 0)

The coordinates of the point B is (3, 3)

The coordinates of the point C is (0. 3)

The translation is by moving 1 step right and three steps up to give;

O' is (0+1, 0+3) which is (1, 3)

A' is (3+1, 0+3) which is (4, 3)

B' is (3+1, 3+3) which gives (4, 6)

C' is (0+1, 3+3) which gives (1, 6)

As all the points change, there are no invariant points and the number of invariant points is zero.

Answer:

9 lb 4 oz

Step-by-step explanation:

Justin weighed 8 lb 12 oz at birth. He gained 8 ounces by his two-week checkup. So,

8 lb 12 oz + 8 oz = 8 lb 20 oz

But, 16 oz equals one pound. So,

20 oz = 1 lb with 4 oz remaining

Now add them together.

8 lb + 1 lb 4 oz = 9 lb 4 oz

Justin's weight is 9 lb 4 oz.

Hope that helps.

Answer:

Step-by-step explanation:

-2x + 3 = -x + 6

-x + 3 = 6

-x = 3

x = -3

y = 3 + 6

y = 9

(-3, 9)

Answer:

12.65

Step-by-step explanation:

In the case of the blue triangle, to calculate the rise, which would be the increase, therefore it would be the hypotenuse formed by the arrow.

We have to Pythagoras is:

h ^ 2 = a ^ 2 + b ^ 2

In this case:

a (x-axis) = 4

b (y-axis) = 12

replacing:

h ^ 2 = 4 ^ 2 + 12 ^ 2

h ^ 2 = 160

h = 12.65

Which means that the rise in the blue triangle is 12.65 units

Answer:

x = 2

Step-by-step explanation:

5(2x- 6) + 20 = 10

10x - 30 = -10

10x = 20

x = 2

Answer:

O2

Step-by-step explanation:

5(2x-6)+20=10

Use distirbutive property:

10x-30 because, 5×2 = 10, and 5×6=30

Now we have

10x-30+20=10

Now combine the like terms

10x-10=10

Send the 10 to the other side(it turns into positive 10 because it was negative 10 on the other side)

10x = 10+10

10x=20

Divide 10 by both sides

x/10 = 20/10

x=2

Hope that helped

Answer:

3 cups

Step-by-step explanation:

We can use a proportion to find how many cups of chocolate chips she needs for 30 servings. Assuming c = cups of chocolate chips and b = batches

[tex]\frac{c}{b}[/tex]

[tex]\frac{1}{10} = \frac{c}{30}[/tex]

We can now multiply the diagonal values that don't include the missing variable (30 and 1) and then divide it by the value that is diagonal to the variable (10)

[tex]30 \cdot 1 = 30\\30 \div 10 = 3[/tex]

Therefore, she needs 3 cups of chocolate chips to make 30 servings.

Answer:

3 cups

Step-by-step explanation:

We can use ratios to solve

1 cup               x cups

---------------- = ----------------

10 servings     30 servings

Using cross products

1*30 = 10x

Divide by 10

30/10 = x

3 =x

3 cups

Answer:

7

Step-by-step explanation:

It has a 45 45 90 ratio, so if the hypotenuse is 7 root 2, then the two sides have to be 7.

Answer:

m∠5 = 77

Step-by-step explanation:

∠3 & ∠ 5 are the co interior angles in the same side of the transversal

∠3 + ∠5 = 180 {sum of co interior angles is 180}

3x + 4 + 2x +11 = 180  {Add like terms}

5x + 15 = 180

Subtract 15 from both sides

5x + 15 - 15 = 180 -15

5x = 165

Divide both side by 5

5x/5 = 165/5

x = 33°

m∠5 = 2x + 11 = 2*33 + 11

        = 66 + 11

       = 77

Answer:

m∠3 is (3x + 4)° and m∠5 is (2x + 11)°.

Angles 3 and 5 are "same side interior angles"

The equation "(3x + 4) + (2x + 11) = 180" can be used to solve for x.

m∠5 = "77°"

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] {4}^{ \frac{3}{4} } \times {2}^{x} = {16}^{ \frac{2}{5} } [/tex]

In order to solve the equation express each of the terms in the same base .

in this case we express each of the terms in base 2

That's

[tex] {4}^{ \frac{3}{4} } = {2}^{2 \times \frac{3}{4} } = {2}^{ \frac{3}{2} } [/tex]

And

[tex] {16}^{ \frac{2}{5} } = {2}^{4 \times \frac{2}{5} } = {2}^{ \frac{8}{5} } [/tex]

So we have

[tex] {2}^{ \frac{3}{2} } \times {2}^{x} = {2}^{ \frac{8}{5} } [/tex]

Since the left side are in the same base and are multiplying, we add the exponents

[tex] {2}^{ \frac{3}{2} + x } = {2}^{ \frac{8}{5} } [/tex]

Since they have the same base we can equate them

That's

[tex] \frac{3}{2} + x = \frac{8}{5} [/tex]

[tex]x = \frac{8}{5} - \frac{3}{2} [/tex]

[tex]x = \frac{1}{10} [/tex]

Hope this helps you

Answer:

paying $7.25 per sq feet

Step-by-step explanation:

So we can start off by solving the area:

12*13=156

so the total area is 156 feet sq

the first deal:

156/7.25= about $21.52

the second deal:

156/6.75= about $23.11, however with the installation fee, it will cost even more.

Answer:

Quantity of fuel is 24 L, based on the model S=2400/Q when S=100

Step-by-step explanation:

If the output power of the car remains constant, the speed would reduce as the masses increase, which is the shown in the observed data.

Hence S does NOT vary directly with the mass and quantity, but varies INVERSELY with the mass and fuel (which has a mass).

Many models are possible to fit the results.  Product models with a single constant k

S(m,q) = kmq  and S(m,q) = k/mq  

do not fit both observation, hence rejected.

A possible  model with two constants is shown below

S(m,q) = k1/m + k2/q..................(1)

1.  m=220, q=30 =>  80 = k1/220 + k2/30 ..........(2)

2. m=300, q=40 =>  60 = k1/300 + k2/40 ..........(3)

Solve system (2) and (3) gives k1=0, k2 = 2400.

So it appears that the speed is independent of the mass (m) [unlikely], but inversely proportional to the quantity (q) of fuel, giving

S(q) = 2400/q

When speed = 100 km/h, and mass = 250 kg,  substitute

100 = 2400/q => q=2400/100 = 24

Answer:

{-3.5, 3.5}

Step-by-step explanation:

Interpreting

|-x| = 3.5

gives

3.5 = +(-x)  or 3.5 = -(-x)

or

x = + / - 3.5

so the answer is

{-3.5, 3.5}

Answer:

A

Step-by-step explanation:

Answer:

m∠C = 90°

Step-by-step explanation:

Triangle BDC is a right triangle with the measure of angle D = 90°

By applying Cosine rule in the given triangle,

Since, Cosine of any angle in a right triangle is a ratio of Its adjacent side and Hypotenuse (Opposite side of the right angle)

CosC = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

CosC = [tex]\frac{\text{DC}}{\text{BC}}[/tex]

CosC = [tex]\frac{7}{8}[/tex]

[tex]C=\text{Cos}^{-1}(\frac{7}{8})[/tex]

C = 28.955

C = 29°

Therefore, m∠C = 29° will be the answer.

Answer:

[tex]p = \frac{1}{2}[/tex]

[tex]q = 5[/tex]

[tex]h^{-1}(h(3)) = 3[/tex]

Step-by-step explanation:

Given

[tex]h(x) = px - \frac{5}{2}[/tex]

[tex]h^{-1}(x) = q + 2x[/tex]

Solving for p and q

Replace h(x) with y in [tex]h(x) = px - \frac{5}{2}[/tex]

[tex]y = px - \frac{5}{2}[/tex]

Swap the position of y and d

[tex]x = py - \frac{5}{2}[/tex]

Make y the subject of formula

[tex]py = x + \frac{5}{2}[/tex]

Divide through by p

[tex]y = \frac{x}{p} + \frac{5}{2p}[/tex]

Now, we've solved for the inverse of h(x);

Replace y with [tex]h^{-1}(x)[/tex]

[tex]h^{-1}(x) = \frac{x}{p} + \frac{5}{2p}[/tex]

Compare this with [tex]h^{-1}(x) = q + 2x[/tex]

We have that

[tex]\frac{x}{p} + \frac{5}{2p} = q + 2x[/tex]

By direct comparison

[tex]\frac{x}{p} = 2x[/tex] --- Equation 1

[tex]\frac{5}{2p} = q[/tex]  --- Equation 2

Solving equation 1

[tex]\frac{x}{p} = 2x[/tex]

Divide both sides by x

[tex]\frac{1}{p} = 2[/tex]

Take inverse of both sides

[tex]p = \frac{1}{2}[/tex]

Substitute [tex]p = \frac{1}{2}[/tex] in equation 2

[tex]\frac{5}{2 * \frac{1}{2}} = q[/tex]

[tex]\frac{5}{1} = q[/tex]

[tex]5 = q[/tex]

[tex]q = 5[/tex]

Hence, the values of p and q are:[tex]p = \frac{1}{2}[/tex];  [tex]q = 5[/tex]

Solving for [tex]h^{-1}(h(3))[/tex]

First, we'll solve for h(3) using [tex]h(x) = px - \frac{5}{2}[/tex]

Substitute [tex]p = \frac{1}{2}[/tex];  and [tex]x = 3[/tex]

[tex]h(3) = \frac{1}{2} * 3 - \frac{5}{2}[/tex]  

[tex]h(3) = \frac{3}{2} - \frac{5}{2}[/tex]

[tex]h(3) = \frac{3 - 5}{2}[/tex]

[tex]h(3) = \frac{-2}{2}[/tex]

[tex]h(3) = -1[/tex]

So; [tex]h^{-1}(h(3))[/tex] becomes

[tex]h^{-1}(-1)[/tex]

Solving for [tex]h^{-1}(-1)[/tex] using [tex]h^{-1}(x) = q + 2x[/tex]

Substitute [tex]q = 5[/tex] and [tex]x = -1[/tex]

[tex]h^{-1}(x) = q + 2x[/tex] becomes

[tex]h^{-1}(-1) = 5 + 2 * -1[/tex]

[tex]h^{-1}(-1) = 5 - 2[/tex]

[tex]h^{-1}(-1) = 3[/tex]

Hence;

[tex]h^{-1}(h(3)) = 3[/tex]

Answer:

Below

Step-by-step explanation:

First let's determine the slope if thus function

Let m be the slope of this function

m = [0-(-4)]/ 2-0 = 4/2 =2

So our equation is:

y = 3x +b

b is the y-intercept wich is given by the image of 0

Here it's -4

So the equation is:

y = 2x-4 wich is also y = x-2 after simplifying

●●●●●●●●●●●●●●●●●●●●●●●●

A line that is parallel to this one will have the same slope.

Examples:

● y= 2x+3

● y = 2x-7

■■■■■■■■■■■■■■■■■■■■■■■■■■

A line that is perpendicular to this one and has a slope m' satisfy this condition:

m*m'= -1

m'= -1/m

m' = -1/2

So this line should have a slope that is equal to -1/2

Answers from the choices:

y = -1/2 x +1/2

y+1= -1/2 (x-3)

Answer:

They would be perpendicular to each other.

One would have a slope of 0 (horizontal line) and the other would have an undefined slope (vertical line)

Step-by-step explanation: