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3 years ago

When h is 2, is the following statement true: 6h + 9 < 20

Mathematics

1 answer:

Pepsi [2]3 years ago

8 0

Answer:

False

Step-by-step explanation:

12+9<20

21≮20

False

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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

2 years ago

Would you choose to measure the area of a basketball court in squared centimeters (cm^2) or squared meters (m^2)? ASP

padilas [110]

Answer:

I would choose squared meters

4 0

3 years ago

If f(x)=x+7 and g(x)=2x-3 what is (f-g)(x)

aalyn [17]

Answer:

-x + 10

Step-by-step explanation:

(x + 7) - (2x-3)

x + 7 - 2x - 3

x - 2x

-x + 7 + 3

-x + 10

4 0

2 years ago

Graph (-4,5), (2,3), (-3.0). (-4,-5). (-5. 2). and (-5.3) and connect the points to form a polygon. How many sides does the poly

Keith_Richards [23]

Answer:

Step-by-step explanation:

Source: Desmos.

When the points are plotted, the shape is a polygon. The polygon has 6 sides.

Picture represents the polygon shape, and its sides

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2 years ago

You read 16 pages in 20 minutes and your friends read 25 pages in 30 minutes who reads faster

guapka [62]

Answer:

You read faster because in 20 minutes you read 16 pages but your friends had 30 minutes they had more time that's why they read more pages not because they read fast

6 0

3 years ago

Read 2 more answers