Multipy (2x + 4 (x - 4)

Zzz

Answers

Answer 1

Answer:

Answer:

6x−16

Step-by-step explanation:

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Judging on the basis of experience, a politician claims that 57% of voters in a certain area have voted for an independent candidate in past elections. Suppose you surveyed 25 randomly selected people in that area, and 18 of them reported having voted for an independent candidate. The null hypothesis is that the overall proportion of voters in the area that have voted for an independent candidate is 57%. What value of the test statistic should you report?

Answers

Answer: z= 1.51

Step-by-step explanation:

Test statistic for proportion is given by :-

$z=\frac{p-P}{\sqrt{(PQ)/(n)}}$

Where n is sample size ,p is the sample proportion , P Is the population proportion and Q =1 - P.

Given : P=57% = 0.57

Q= 1- P = 1-0.57=0.43

n = 25

$p=(18)/(25)=0.72$

Test statistic for proportion will be :-

$z=\frac{0.72-0.57}{\sqrt{(0.57*0.43)/(25)}}\approx1.51$

We should report the value of test statistic z= 1.51

1. 5 Burgers and 3 orders of fries cost $34. 4 Burgers and 4 orders of fries cost $32. How much does each burger and each order of fries cost?2. A pile of 44 coins is made up of pennies, nickels, and dimes. If the pile is worth $3.07 and there are twice as many nickels as pennies, how many of each coin does the pile contain?

Answers

Answer:

a burger costs $5

an order of fries costs $3

7 pennies

14 nickels

23 dimes

Step-by-step explanation:

x = price of a burger

y = price of a order of fries

5x + 3y = 34

4x + 4y = 32

x + y = 8

x = 8-y

5×(8-y) + 3y = 34

40 - 5y + 3y = 34

-2y = -6

y = $3

x = 8 - 3 = $5

x = number of pennies

y = number of nickels

z = number of dimes

0.01×x + 0.05×y + 0.1×z = 3.07

y = 2x

x + y + z = 44

x + 2x + z = 44

3x + z = 44

z = 44 - 3x

0.01×x + 0.05×2x + 0.1×z = 3.07

0.11×x + 0.1×z = 3.07

0.11×x + 0.1×(44-3x) = 3.07

11x + 10×(44-3x) = 307

11x + 440 - 30x = 307

-19x = -133

x = 7

y = 2×7 = 14

z = 44 - 3×7 = 44 - 21 = 23

A cylinder is 5 centimeters tall and has a radius of 2.1 centimeters. Find the volume to the nearest tenth. Use 3.14 for .61.2 cm
33.0 cm
65.9 cm
69.2 cm

Answers

Answer:

Option D

Step-by-step explanation:

Volume of a cylinder is $V=\pi r^2h$

h - height

r - radius

We are given the radius of 2.1 centimeters and the height of 5 centimeters.

Using 3.14 for pi:

$V=3.14*2.1^2*5\n\nV =69.237$

69.237 ≈ 69.2

Option D should be the correct answer.

Sarah practices her violin 45 minutes each practice session. She sets a goal to practice 6,075 minutes.How many practice sessions will it take for Sarah to reach her goal?