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kolbaska11 [484]
3 years ago
7

"Suppose that you are a city planner who obtains a sample of 20 randomly selected members of a mid-sized town in order to determ

ine the average amount of money that residents spend on transportation each month (such as fuel, vehicle repairs, and public transit). To 3 decimal places, what is the critical value for the 95% confidence interval
Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

Answer: 2.093

Step-by-step explanation:

As per give , we have

Sample size : n= 20

Degree of freedom : df= n-1=19

Significance level : \alpha: 1-0.95=0.05

Since , the sample size is small (n<30) so we use t-test.

For confidence interval , we find two-tailed test value.

Using students's t-critical value table,

Critical t-value : t_{\alpha/2, df}=t_{0.025,19}=2.093

Thus, the critical value for the 95% confidence interval = 2.093

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3 years ago
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Una pelota sale disparada desde el nivel del suelo, con una velocidad de 40 m/s y un ángulo de elevación de 50°. a) Calcule la a
DedPeter [7]

Respuesta:

Los 47.85m

Explicación paso a paso:

Altura máxima = u²sin²Ф / 2g

Dado

velocidad u = 40 m / s

Ф = 50 °

g = 9,81 m / s²

Sustituir'

H = 40²sin²50 / 2 (9,81)

H = 1600 (0,7660) ² / 19,62

H = 1600 (0,5868) /19,62

H = 938,8096 / 19,62

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6 0
3 years ago
The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amoun
Ray Of Light [21]

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=  \frac{1.00*540g}{4.10}

x= 131.7grams

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=\frac{1.00*360g}{2.81}\\x= 128.1gram

Hence for the small jar a penny would buy 128.1g of honey

4 0
3 years ago
Sarah rolls a die twice. What is the probability that she rolls a 3 and then an even number?
egoroff_w [7]
1/12

This is because she has a 1/6 chance of getting a 3 on the first try and then a 1/2 chance of getting an even on the second. Multiply these two together to get your answer. 
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3 years ago
Directions:
cricket20 [7]
1. obtuse angle is shown, 45° is missing.
2. obtuse angle is shown, 29° is missing.
3. acute angle is shown, 65° is missing.
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3 years ago
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