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jasenka [17]
3 years ago
5

What two rational numbers does the square root of 14 fall between

Mathematics
1 answer:
GrogVix [38]3 years ago
4 0

Answer:

3-4

Step-by-step explanation:

the square root of 14 is 3.7.....

PLZZ MARK ME BRAINLIEST

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Bottles of mango juice are assumed to contain 275 milliliters of juice. There is some variation from bottle to bottle because th
pentagon [3]

Answer:

Step-by-step explanation:

The mean of the set of data given is

Mean = (275.4 + 276.8 + 273.9 + 275.0 + 275.8 + 275.9 + 276.1)/7 = 275.56

Standard deviation = √(summation(x - mean)^2/n

n = 7

Summation(x - mean)^2 = (275.4 - 275.56)^2 + (276.8 - 275.56)^2 + (273.9 - 275.56)^2 + (275.0 - 275.56)^2 + (275.8 - 275.56)^2 + (275.9 - 275.56)^2 + (276.1 - 275.56)^2 = 5.0972

Standard deviation = √(5.0972/7) = 0.85

We would set up the hypothesis test.

For the null hypothesis,

µ = 275

For the alternative hypothesis,

µ ≠ 275

This is a 2 tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 7

Degrees of freedom, df = n - 1 = 7 - 1 = 6

t = (x - µ)/(s/√n)

Where

x = sample mean = 275.56

µ = population mean = 275

s = samples standard deviation = 0.85

t = (275.56 - 275)/(0.85/√7) = 1.74

We would determine the p value using the t test calculator. It becomes

p = 0.132

Because the p-value of 0.132 is greater than the significance level of 0.05, we would fail to reject the null hypothesis. We conclude the data does not provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.

8 0
3 years ago
(45pts) An elevator holds at most 1,400 pounds. A team of movers and their cart have a combined weight of 1,200 pounds. If each
emmainna [20.7K]
Let x be the number of boxes the team brings with them. Their weight combined with the boxes can't exceed the capacity of 1400. Assuming the elevator runs fine at that exact weight, you want to find the number of boxes, each of which contributes 40 pounds. This is given by the equation

1400=1200+40x

Solving for x, you have

1400=1200-40x
200=40x
x=5

So the team can bring *at most* 5 boxes at a time.
4 0
3 years ago
Can someone please explain?
GREYUIT [131]

The function y = x, called the "identity" or "ramp" function, is a basic function that you'll need to add to your math vocabulary. Since the " x " here seems to have no exponent, fix that by thinking "x^1," or "x to the first power," or "y=x is a linear function."

The graph of y=x always goes thru the origin. It begins in the 3rd quadrant and ends in the 1st, and appears as a straight line with slope of m = rise / run = 1/1 = 1.

8 0
3 years ago
WILL MARK BRAINLIEST!!
bija089 [108]

Answer:

3 rd one

Step-by-step explanation:

Please mark me as brainliest, vote 5.0 and thank me to support

3 0
3 years ago
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Fruit basket is made with apple and oranges.the ratio of apples to oranges in a fruit basket is 2 to 3.if there are 45 pieces of
irina [24]
Apples to oranges = 2 to 3
total ratio = 2+3=5
number Of apples = 2/5 * 45
= 2*9 =18
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