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3 years ago

in circle T with m angle STU=50 and ST=3 units, find the length of arc SU. Round to the nearest hundredth.

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

6 0

9514 1404 393

Answer:

arc SU ≈ 2.62 . . . units

Step-by-step explanation:

The arc length is given by ...

s = rθ

where r is the radius, and θ is the central angle in radians.

arc SU = ST·STU = 3·(50°·π/180°) = 5π/6

arc SU ≈ 2.62 . . . units

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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

3 years ago

Solve for x <br> (1 point)

Delicious77 [7]

It should be 13 since 13+8 = 21. 21-7 = 13

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3 years ago

Solve similar triangles advanced part 1

balu736 [363]

9514 1404 393

Answer:

x = 4

Step-by-step explanation:

Corresponding segments of similar triangles are proportional. Here, the similar triangles are ...

ΔABC ~ ΔADE

so the relationship between the sides is ...

BC/BA = DE/DA . . . . . . we put the unknown value in the numerator

x/4 = 12/(4+8)

x = 4(1) = 4

The length of side x is 4.

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3 years ago

What is the distance from M(9,-4) to NC-1, -2)?

Ilia_Sergeevich [38]

Answer:

Exact Form: 2√26

Decimal Form: 10.19803902 …

Step-by-step explanation:

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3 years ago

Solve v^3 = -26 where v is a real number.<br> Simplify your answer as much as possible.

il63 [147K]

Answer:

nearby -3

Step-by-step explanation:

When v^3 is -26, your v is equal to $-\sqrt[3]{26}$ .

3^3 is 27, so v is nearby 3.

or, It would be nearby 3.9

5 0

3 years ago