All categories

3 years ago

Calculate the constant of variation if y varies directly as x.

Mathematics

2 answers:

Y_Kistochka [10]3 years ago

6 0

Answer:

k = - $\frac{3}{2}$

Step-by-step explanation:

since y varies directly as x, then the equation connecting them is

y = kx ← k is the constant of variation

to find k use the given condition y = - 3 when x = 2, thus

k = $\frac{y}{x}$ = $\frac{-3}{2}$ = - $\frac{3}{2}$

Anton [14]3 years ago

5 0

The answer is A -3/2

You might be interested in

9.49 divided by 0.65

maks197457 [2]

The Answer Is 14.6
I just used a calculator to do it but if you want me to explain, I will.

7 0

3 years ago

Read 2 more answers

explain how you could write a quadratic function in a factored form that would have a vertex with an x- coordinate of 3 and two

gladu [14]

Answer:

Two distinct roots means two real solutions for x (the parabola needs to cross the x-axis twice)

Step-by-step explanation:

10 0

3 years ago

Read 2 more answers

What does this mean? ( ˘ ³˘)♥(o‿∩)(个_个)(●__●)

Pie

Answer:

love ya hey cry pokerface

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Mark counts six ducks in a pond and some ducks on the grass. There are ducks all l4. Draw a picture to show the two groups of du

murzikaleks [220]

So 6 in pond
some on grass
# in pond+# in grass=14
6 in pond
subsitute 6 for pond
6+# in greass=14
subtract 6 from both sides
6-6+# in grass=14-6
0+# in grass=8
# in grass=8
there are 8 ducks in grass

so you would draw a circle for the pond and put 6 circles in there to represent the ducks, then , outside of that big circle, draw 8 circles to represent the 8 ducks on the grass (maybe label the big circle as pond and outside as grass)

6 0

3 years ago

Psychology students at Wittenberg University completed the Dental Anxiety Scale questionnaire (Psychological Reports, August 199

fredd [130]

Answer:

a) $Z = 1.43$

b) There is a 48.696% probability that someone scores between a 10 and a 15 on the Dental Anxiety Scale is

Step-by-step explanation:

Normal model problems can be solved by the zscore formula.

On a normaly distributed set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a value X is given by:

$Z = \frac{X - \mu}{\sigma}$

Each z-score value has an equivalent p-value, that represents the percentile that the value X is.

In our problem, the mean score was 11 and the standard deviation was 3.5.

So, $\mu = 11$ , $\sigma = 3.5$ .

(a) Suppose you score a 16 on the Dental Anxiety Scale. Find the z-value for this score.

What is the value of Z when $X = 16$ ?

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{16 - 11}{3.5} = 1.43$

(b) Find the probability that someone scores between a 10 and a 15 on the Dental Anxiety Scale.

We have to find the percentiles of both of these scores. This means that we have to find Z when $X = 10$ and $X = 15$ . The probability that someone scores between a 10 and a 15 is the difference between the pvalues of the z-value of X = 10 and X = 15.