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3 years ago

Michael made two trips to the market. On his first trip to the market, he bought x apples on sale for $3 each and y

Mathematics

1 answer:

Galina-37 [17]3 years ago

6 0

Answer:

He bought 8 Apples and 4 banana

Step-by-step explanation:

$3x+2y=32\\5x-2y=32$

Linear Combination (add equations)

$8x+ 0y=64\\8x=64\\x=8\\$

So 8 Apples (X)

the put 8 in for X in either equation

$3(8)+2y=32\\24+2y=32\\2y=8\\y=4$

4 Bananas

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AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle

Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1339.9}{40} = 33.5$

$S.D = 11$ (given)

n = 40

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)$

6 0

3 years ago

The number of books sold over the course of the four-day book fair were 190, 100, 272, and 74. Assume that samples of size 2 are

g100num [7]

Answer:

the answer is below

Step-by-step explanation:

We have the total number of possible samples = 4 * 4 = 16 (As 4 choices for each value)

in addition we have to as all sample occur with equal probability, probability of each sample = 1/16, below is samling distribution of mean

x1 x2 probabilityP(x1,x2) sample mean

190 190 1/16 190

190 100 1/16 145

190 272 1/16 231

190 74 1/16 132

100 190 1/16 145

100 100 1/16 100

100 272 1/16 186

100 74 1/16 87

272 190 1/16 231

272 100 1/16 186

272 272 1/16 272

272 74 1/16 173

74 190 1/16 132

74 100 1/16 87

74 272 1/16 173

74 74 1/16 74

Summarizing above with adding duplicate values

sample mean probability

74 1/16

87 1/8

100 1/16

132 1/8

145 1/8

173 1/8

186 1/8

190 1/16

231 1/8

272 1/16

5 0

4 years ago

Im really struggling with these questions can anyone help me?

Alchen [17]

Q1
the clothes are on 45% discount, wich mean they become 55% of their original price.

30× 55% =16.5
64×55%=35.2

the new salary is 103% of the original

10×103% = 10.3
11600×103% = 11,948

Q2:

1+0.24= 1.24
1- 0.27= 0.73

86×140%= 120.4
440×119%= 523.6
82×90% = 73.8
480× 73%= 350.4

8 0

4 years ago

The coordinates of the vertices of a polygon are shown on the grid below

AnnZ [28]

Uhm Where is the grid?

5 0

3 years ago

Visualise 5.96 on the number line up to 43 decimmal paces

Firlakuza [10]

Answer:

It's legit just 5.9600000000000000000000000000000000000000000.

7 0

3 years ago