All categories

3 years ago

Remy was on vacation in New France, Canada. He went to the Ratatouille restaurant and had an excellent dinner. How much did

Mathematics

1 answer:

SashulF [63]3 years ago

4 0

Answer:

See both answers in the explanation

Step-by-step explanation:

Given data

Cost of dinner= $32

TIp=18%

Let us find the amount of the tip

=18/100*32

=0.18*32

=$5.76

Hence the total amount paid is

=5.76+32

=$37.76

The Tip is

=$5.76

You might be interested in

a ladder 6m long leans against the wall of house if the foot of the ladder makes an angle 58 degree with tye ground how far is t

Vedmedyk [2.9K]

Answer:

The base of the ladder is 3.2 meters far from the wall.

Step-by-step explanation:

We need to calculate the base of a right triangle. The given information is:

h: hypotenuse = length of the ladder = 6 m

b: is the base =?

θ: is the angle between the hypotenuse and the base = 58°

To find the base we can use the following trigonometric equation:

$cos(\theta) = \frac{b}{h}$

$b = cos(\theta)*h = cos(58)*6 = 3.2 m$

Therefore, the base of the ladder is 3.2 meters far from the wall.

I hope it helps you!

4 0

3 years ago

Which unit rate corresponds to the proportional relationship shown in the graph?

Evgen [1.6K]

Answer:

1.5 cm/s

Step-by-step explanation:

The unit rate is the same as the slope.

To find the slope, we use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using our points, we have

m = (9-0)/(6-0) = 9/6 = 3/2 = 1.5 cm/s

6 0

3 years ago

Read 2 more answers

Jacob Lee is a frequent traveler between Los Angeles and San Diego. For the past month, he wrote down the flight times in minute

valkas [14]

Solution :

We know that

$H_0: \mu_1 = \mu_2=\mu_3$

$H_1 :$ At least one mean is different form the others (claim)

We need to find the critical values.

We know k = 3 , N = 35, α = 0.05

d.f.N = k - 1

= 3 - 1 = 2

d.f.D = N - k

= 35 - 3 = 32

SO the critical value is 3.295

The mean and the variance of each sample :

Goust Jet red Cloudtran

$\overline X_1 =50.5$ $\overline X_2 =50.07143$ $\overline X_3 =55.71429$

$s_1^2=19.96154$ $s_2^2=14.68681$ $s_3^2=36.57143$

The grand mean or the overall mean is(GM) :

$\overline X_{GM}=\frac{\sum \overline X}{N}$

$=\frac{51+51+...+49+49}{35}$

= 52.1714

The variance between the groups

$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$

$=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$

$=\frac{127.1143}{2}$

= 63.55714

The Variance within the groups

$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$

$=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$

$=\frac{669.8571}{32}$

= 20.93304

The F-test statistics value is :

$F=\frac{s_B^2}{s_W^2}$

$=\frac{63.55714}{20.93304}$

= 3.036212

Now since the 3.036 < 3.295, we do not reject the null hypothesis.

So there is no sufficient evidence to support the claim that there is a difference among the means.

The ANOVA table is :

Source Sum of squares d.f Mean square F

Between 127.1143 2 63.55714 3.036212

Within 669.8571 32 20.93304

Total 796.9714 34

3 0

3 years ago

Helppppp............

Arlecino [84]

Answer:

V=lwh

4x6x3

v=72

3 0

3 years ago

Read 2 more answers

A jet is flying 7 miles above the ground. The pilot spots an airport as shown below. What is the distance from the plane to the

Fynjy0 [20]

It's hard to help if you can't provide everything with the question

8 0

3 years ago