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jeka57 [31]
3 years ago
10

Mrs Jones uses - of a block of cheese to make packed lunches each day

Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0

Answer:

The correct answer is 4.

Step-by-step explanation:

Mrs Jones uses one block of cheese, each day, to make packed lunches.

So by the given problem she has four blocks of cheese.

So Mrs Jones will use first block of cheese on the first day, second on the second day, third on the third day and the final block on the fourth day.

Thus Mrs Jones would be able to make packed lunches for four days (may or may not be four consecutive days).

Thus the correct answer according to the given question is 4.

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Solve this linear system by graphing. Check the solution. <br> 3x+y=11<br> x-2y=6
alexandr402 [8]
In this system of equations, I'll do elimination. Ok, so what we are trying to do is to eliminate a variable, but we can't. So since -2y is negative, and y has a coefficient of 1 and is positive, let's multiply the first whole equation by 2.
2 times (3x+y=11) is 6x+2y=22. (I just used distributive property.) Now let's add from left to right.
6x plus x is 7x, 2y plus -2y is 0, and 22 plus 6 is 28. Now we have this simple equation, 7x=28. We can simply divide each side by 7, to get x as 4. So x=4 in this set of equations. Now all we need to do is plug x in the equation then solve for y. For this system of equations, I'll use the first equation, because it is easier. So I'll plug x as 4 into the equation to get 12+y=11. Now we can simply solve for y. 11-12 is -1, so y must equal -1. So y=-1. Therefore, x=4 and y=-1. Hope I helped.
6 0
3 years ago
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What is the range and domain of: <br><br>y= 4|x|-1
stich3 [128]
Function: y = 4|x| - 1.


Domain: R (all real numbers).


Range: As we know, the absolute value of x is always a non-negative number:

|x| >= 0

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4|x| - 1 >= -1

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Answer:

Null Hypothesis, H_0 : p = 0.27

Alternate Hypothesis, H_A : p > 0.27

Step-by-step explanation:

We are given that the American Academy of Period ontology released a survey, revealing that 27% of US adults admit they lie to their dentist about how often they floss their teeth.

Periodontist Dr. Garcia believes that the percentage seems low, so he decides to conduct his own hypothesis test to determine the true proportion.

<u><em>Let p = % of US adults who admit they lie to their dentist about how often they floss their teeth</em></u>

So, Null Hypothesis, H_0 : p = 0.27

Alternate Hypothesis, H_A : p > 0.27

Here, <u>null hypothesis states that</u> the % of US adults who admit that they lie to their dentist about how often they floss their teeth is equal to 27%.

On the other hand, <u>alternate hypothesis states that</u> the % of US adults who admit that they lie to their dentist about how often they floss their teeth seems low and is more than 27%.

Also, the test statistics that would be used for conducting this hypothesis test will be One-sample z proportion statistics.

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