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bagirrra123 [75]
3 years ago
11

Cindy has 2 boxes of pencils. Patrice has 5 boxes of pencils. simplified

Mathematics
1 answer:
wel3 years ago
7 0

Answer:

2+5=7

Step-by-step explanation:

eg.1 box has 15 pencils which means cindy have 30 pencils and patrice have 75

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Lily plants 2 red rosebushes, 8 pink rosebushes, and 6 yellow rosebushes. What is the ratio of pink and red
andrey2020 [161]

Answer:

C. 10 : 16

Step-by-step explanation:

Attached below

4 0
3 years ago
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305

The degrees of freedom for this sample size are:

df=n-1=50-1=49

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.01 \cdot 0.305=0.61

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95

The 95% confidence interval for the mean is (5.73, 6.95).

4 0
4 years ago
What is the equation in point slope form of the line that passes through the point (−1, −3) and has a slope of 4?
blondinia [14]

Answer: y + 3 = 4 (x +1 )

Step-by-step explanation:

The eqution of a line in point- slope form is given as :

y-y_{1} = m(x-x_{1} )

Where m is the slope and (x_{1} , y_{1}) is the given point

substituting the values into the formula , we have:

y - (-3) = 4 ( x - {-1) )

y + 3 = 4 ( x + 1)

This is the equation of the line in point-slope form.

8 0
3 years ago
In a right triangle the side c opposite the right angle is called the hypotenuse, and the other two sides a and b are
RSB [31]

Answer:

The hypotenuse of the triangle measures 13 inches.

Step-by-step explanation:

Since the Pythagorean theorem states that in any right triangle the lengths of the three sides are related by the equation A ^ 2 + B ^ 2 = C ^ 2, to determine the length of the hypotenuse in a right thangle with legs 5 inches and 12 inches the following calculation should be performed:

5 ^ 2 + 12 ^ 2 = X ^ 2

25 + 144 = X ^ 2

√169 = X

13 = X

Therefore, the hypotenuse of the triangle measures 13 inches.

4 0
3 years ago
Read 2 more answers
This is a way of expressing a relationship between x and y in set notation. It is called an ____ pair.
motikmotik
I think its called a linear pair
3 0
4 years ago
Read 2 more answers
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