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Nutka1998 [239]
2 years ago
15

Four gallons of paint are used to paint 20 chairs and 5 small tables.if each chair and table used the same amount of paint, how

many gallons are used to paint each piece of furniture? Between what two who numbers does the answer lie?
Mathematics
1 answer:
Vinil7 [7]2 years ago
7 0

Answer:

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

Step-by-step explanation:

we know that

Four gallons of paint are used to paint 20 chairs and 5 small tables.

if each chair and table used the same amount of paint

then

sum the total pieces of furniture

20+5=25 pieces

Find the unit rate

Divide the total gallons of paint used by the total pieces

\frac{4}{25}=0.16\ \frac{gallons}{piece}

therefore

0.16 gallons of paint are used on each piece of furniture.

The answer lies between the whole numbers 0 and 1.

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Diabetes:
Alinara [238K]

Answer:

Step-by-step explanation:

Given that Advandia is a drug used to treat diabetes, but it may cause an increase in heart attacks among a population already susceptible.

Sample size n =1`456

Sample proportion of persons having heart attack p1= 27/1456 = 0.0186

II sample

Size = 2895

p2 = sample proportion = 41/2895 = 0.0142

a) Not matched pair data but independent proportions

b)

Step 1:  H_0: p_1=p_2\\H_a: p_1 > p_2

(right tailed test at 5% significance level)

Step 2:  Test statistic z = 1.0995

Step 3:  p value = 0.13567

Step 4:  Since p >0.05 accept null hypothesis.

There is no evidence to suggest that there is a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.

Step 5:

4 0
2 years ago
A veterinary study of horses looked water sources for horses and the investigators found that horses received water from either
Irina18 [472]

Answer:

d. Water Source Well City Water Stream Expected Count 45.33 45.33 45.33

Step-by-step explanation:

Hello!

The objective of this study is to test whether the horses are equally likely to get water from one of three sources (Well, City or Stream), i.e. that the water sources have the same probability of being used.

The study variable is categorical:

X: Origin of the drinking water of the horses, categorized: Well "W", City "C" and Stream "S"

And one study population:

"Horses"

If the study hypothesis is that the three water sources are equally to be selected, you can symbolize it as P(W)=P(C)=P(S)=1/3

You want to test if the observed distribution follows an expected distribution, the test to use is a Chi-Square Goodness of Fit Test.

The hypothesis is:

H₀: P(W)=P(C)=P(S)=1/3

Under the null hypothesis, the formula to calculate the expected frequencies is:

e_{i}= n * P_{i}

Where:

e_{i} is the expected value of the i-category.

P_{i} is the probability for the i-category under the null hypothesis.

n= sample size.

Observed frequencies:

Well: 62

City: 43

Stream: 31

Total: 136

Expected frequencies:

e_{W}= n * P_{W} = 136*1/3 = 45.33

e_{C}= n * P_{C}= 136 * 1/3= 45.33

e_{S}= n * P_{S}= 136 * 1/3= 45.33

Typ, if the expected frequencies are correctly calculated, the sum of them must give the total of the sample (although depending on the type of approximation it can vary in one or two decimals)

45.33 * 3= 135.99 ≅ 136

I hope it helps!

5 0
2 years ago
What is the solution to the equation StartFraction 1 Over h minus 5 EndFraction + StartFraction 2 Over h + 5 EndFraction = Start
djyliett [7]

Answer:

h=7

Step-by-step explanation:

We want to solve the equation:

\frac{1}{h-5}+\frac{2}{h+5}=\frac{16}{h^2-25}

We multiply through by the LCM: h^2-25=(h+5)(h-5)

(h^2-25*\frac{1}{h-5}+(h^2-25)*\frac{2}{h+5}=\frac{16}{h^2-25}   \times(h^2-25)

Simplify to get:

h+5+2(h-5)=16

We expand to get:

h+5+2h-10=16

h+2h=16+10-53h=21

h=7

4 0
2 years ago
Read 2 more answers
Choco Dream is a firm that produces both dark chocolates as well as liquor chocolates. During a given​ month, the firm uses its
Daniel [21]

Answer:

E) Choco Dream faces increasing marginal opportunity cost in the production of liquor chocolates.

Step-by-step explanation:

When Choco Dream increased their production of liquor chocolates by 500 units (to 4,500 bars per month), their opportunity was 800 units of dark chocolate. But when they needed to increase liquor chocolates by 500 more units (to 5,000 bars per month), then the opportunity cost increased to 1,000 units of dark chocolate.

That means that for the first 500 extra liquor bars, the opportunity cost = 800 dark chocolate bars / 500 liquor bars = 1.6 dark chocolate bars for every extra liquor bar.

The second increased required a higher opportunity cost = 1,000 dark chocolate bars / 500 liquor bars = 2 dark chocolate bars for every extra liquor bar.

3 0
2 years ago
The height of a grain of a cylindrical silo is is increasing at a constant rate of 4 feet per minute At what rate is the volume
Dafna11 [192]
The answer is 2 min and 30 sec
7 0
2 years ago
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