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Tanya [424]
3 years ago
10

Let an optimus prime be a prime number whose digit sum is also a prime number. How

Mathematics
1 answer:
kodGreya [7K]3 years ago
4 0

Answer:

7

Step-by-step explanation:

2 = 2 ✓

3 = 3 ✓

5 = 5 ✓

7 = 7 ✓

11 = 1 + 1 = 2 ✓

13 = 1 + 3 = 4 ×

17 = 1 + 7 = 8 ×

19 = 1 + 9 = 10 ×

23 = 2 + 3 = 5 ✓

29 = 2 + 9 = 11 ✓

I hope this helps you :)

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You are on the market for a new car. You want to check whether there is a significant difference between the fuel economy of mid
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Answer:

Step-by-step explanation:

Hello!

The objective is to test if there is a difference between the fuel economy of mid-size domestic cars and mid-size import cars.

For this there are two samples taken:

X₁: Fuel economy of a domestic car.

Sample 1

n₁= 17 domestic cars

X[bar]₁= 34.904 MPG

S₁= 4.6729 MPG

X₂: Fuel economy of an import car.

Sample 2

n₂= 15 import cars

X[bar]₂= 28.563 MPG

S₂= 8.4988 MPG

To estimate the difference between the average economic fuel of domestic cars and import cars, assuming both variables have a normal distribution and both population variances are unknown but equal, the statistic to use is a t-test for two independent samples with pooled sample variance:

(X[bar]₁-X[bar]₂)±t_{n_1+n_2-2;1-\alpha /2} * (Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } )

Sa^2= \frac{(n_1-1)S_1^2+(n_2-1)S^2_2}{n_1+n_2-2}

Sa^2= \frac{16*(4.6729)^2+14*(8.4988)^2_2}{17+15-2}= 45.35

Sa= 6.73

t_{n_1+n_2-2;1-\alpha /2} = t_{30; 0.95}= 1.697

(34.904-28.563)±1.697* (6.73*\sqrt{\frac{1}{17} +\frac{1}{15} } )

6.341±1.697*2.38

[2.30;10.38]

With a confidence level of 90%, you'd expect that the difference between the average economic fuel of domestic cars and import cars will be contained in the interval [2.30;10.38].

I hope it helps!

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3 years ago
Enrico pours 80 L of water into 200 mL cups. If he fills the cups completely, how many cups does he fill? *
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He filled 400 cups. I hope this helps!
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