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3 years ago

Find the ratio of cans of fruit to the total number of food items collected.

Mathematics

1 answer:

Butoxors [25]3 years ago

3 0

First add all the items together:

6 + 4 + 7 + 4 = 21

then we compare 6 and 21 and look for common factors, 6 and 21 have the common factor 3 so we divide them both by 3 to get 2 and 7. since 2 and 7 have no common factors our answer is

2:7

This means for every 2 cans of fruit there are 7 total items and vice versa.

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The sandwiches at the bakery come in four sizes:

kaheart [24]

13 kids sandwiches X 4 inches = 52 inches
22 small sandwiches X 6 inches = 132 inches
17 medium sandwiches X 8 inches = 136 inches
17 large sandwiches X 12 inches = 204 inches

52+132+136+204= 524 inches = 43.66 feet = 43.7 feet

7 0

3 years ago

Z is twelve less than the sum of x and y

Furkat [3]

X+y-12=z
EXPLANATION:

7 0

3 years ago

Read 2 more answers

I need help on number 2.

evablogger [386]

Greetings!

This is how your double number line should look:

(lbs) 0 1 2 3 4 5

↓-----↓-----↓-----↓-----↓-----↓

0 3.5 7 10.5 14 17.5 (dollars)

Hope this helps!

6 0

3 years 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:

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.

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

1/8 , -0.333, - 1/7 , - 4/9 Put these numbers in order from LEAST to GREATEST

irga5000 [103]

1/8= 0.125, -1/7 = -0.143 and -4/9= -0.444

-4/9, -0.333, -1/7, 1/8

8 0

3 years ago