PLEASE HELP!!! It says to find the area of the shaded sector rounded to the nearest hundredth

What is the product? Enter your answer as a fraction, in simplified form, in the box. −4/5⋅10/16

Pie

-40/80 = -1/2
since when you’re multiplying fraction, you multiply the top by the top number and bottom by the bottom number. So -4 • 10 is -40 and 5 • 16 is 80. -40/80, simplified is -1/2.

7 0

3 years ago

Read 2 more answers

Find the indicated length or angle measure (to the nearest tenth).

skad [1K]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Explain the formula to use

Using the cosine rule which states that:

$z^2=x^2+y^2-2xy\cos Z$

STEP 2: Write the given sides

$x=4,y=6,Z=41^{\circ},z=?$

STEP 3: Find the value of z

$\begin{gathered} By\text{ substitution,} \\ z^2=4^2+6^2-2(4)(6)\cos41 \\ z^2=16+36-48cos41 \\ z^2=52-36.22605985 \\ z^2=15.77394015 \\ z=\sqrt{15.77394015} \\ z=3.971641997 \\ z\approx4.0 \end{gathered}$

Hence, the indicated length is 4.0

4 0

1 year ago

Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In p

Bingel [31]

Answer:

A)

Null hypothesis:H₀:- There is no significant difference between in drug resistance between the two states

Alternative Hypothesis :H₁:

There is significant difference between in drug resistance between the two states

B)

The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance

Rejected H₀

There is a significant difference in drug resistance between the two states.

C)

P - value = 0.0066

P - value = 0.0066 < 0.02

D)

1) Reject H₀

There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

Step(i):-

Given first sample size n₁ = 174

Suppose that, of 174 cases tested in a certain state, 11 were found to be drug-resistant.

First sample proportion

$p_{1} = \frac{x_{1} }{n_{1} } = \frac{11}{174} = 0.0632$

Given second sample size n₂ = 375

Given data Suppose also that, of 375 cases tested in another state, 7 were found to be drug-resistant

Second sample proportion

$p_{2} = \frac{x_{2} }{n_{2} } = \frac{7}{375} = 0.0186$

Step(ii):-

Null hypothesis:H₀:- There is no significant difference between in drug resistance between the two states

Alternative Hypothesis :H₁:

There is significant difference between in drug resistance between the two states

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

Where

$P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }$

$P = \frac{174 (0.0632) + 375 (0.0186) }{174+375 } = \frac{17.9718}{549} = 0.0327$

Q = 1 - P = 1 - 0.0327 = 0.9673

Step(iii):-

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$Z = \frac{0.0632-0.0186 }{\sqrt{0.0327 X 0.9673(\frac{1}{174 }+\frac{1}{375 } ) } }$

Z = 2.7261

Level of significance = 0.02 or 0.98

The z-value = 2.054

The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance

Reject H₀

There is a significant difference in drug resistance between the two states.

P- value

P( Z > 2.7261) = 1 - P( Z < 2.726)

= 1 - ( 0.5 + A (2.72))

= 0.5 - 0.4967

= 0.0033

we will use two tailed test

2 P( Z > 2.7261) = 2 × 0.0033

= 0.0066

P - value = 0.0066 < 0.02

Reject H₀

There is a significant difference in drug resistance between the two states.

8 0

3 years ago

While traveling along a highway a driver slows from 48 m/s to 30 m/s in 24 seconds. What is theautomobile’s acceleration?a.+ 0.7

kkurt [141]

Answer:

i dont care

its -75m/sc

Step-by-step explanation:

6 0

4 years ago

Do the rays BA and AB define the same ray? In complete sentences, explain why the two rays are the same or why the two rays are

Deffense [45]

Rays are named according to their endpoints, the first one named is the "starting" endpoint, the second one is the one that will continue on into infinity. Therefore, ray BA has a terminal endpoint at B and goes through point A into infinity. Ray AB has a terminal endpoint at A and goes through point B into infinity. Definitely NOT the same ray.

7 0

3 years ago