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Gnesinka [82]
3 years ago
8

HELP PLEASE ITS DUE TODAY!!! Express 14 hours in 2 weeks as a unit rate

Mathematics
1 answer:
user100 [1]3 years ago
7 0

Answer:

14/336 ----------> 0.41

Step-by-step explanation:

you substituto 2 week to 336 cause there are 336 hours in 2 weeks therefore 14/336 = 0.41

the unit rate is 14/336

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A survey found that the median number of calories consumed per day in a certain country was 3,304 and the mean was 3,204.9 calor
insens350 [35]

Answer:

Skewed to the left

Step-by-step explanation:

Given

Median = 3304

Mean = 3204.9

Required

The type of distribution

From the given data, we have:

Median \ne Mean --- Mean and Median are not equal

and

Median > Mean --- Median is greater than mean

<em>When the median is greater than the mean; the histogram is expected to be left skewed</em>

5 0
3 years ago
4. Gloria the grasshopper is working on her hops.
aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola  that describes the path of her jump is \mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}

The given parameters are:

\mathbf{Height = 20}

\mathbf{Length = 28}

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

\mathbf{Mid = \frac 12 \times Length}

\mathbf{Mid = \frac 12 \times 28}

\mathbf{Mid = 14}

So, the vertex of the parabola is:

\mathbf{Vertex = (Mid,Height)}

Express properly as:

\mathbf{(h,k) = (14,20)}

A point on the graph would be:

\mathbf{(x,y) = (28,0)}

The equation of a parabola is calculated using:

\mathbf{y = a(x - h)^2 + k}

Substitute \mathbf{(h,k) = (14,20)} in \mathbf{y = a(x - h)^2 + k}

\mathbf{y = a(x - 14)^2 + 20}

Substitute \mathbf{(x,y) = (28,0)} in \mathbf{y = a(x - 14)^2 + 20}

\mathbf{0 = a(28 - 14)^2 + 20}

\mathbf{0 = a(14)^2 + 20}

Collect like terms

\mathbf{a(14)^2 =- 20}

Solve for a

\mathbf{a =- \frac{20}{14^2}}

\mathbf{a =- \frac{20}{196}}

Simplify

\mathbf{a =- \frac{5}{49}}

Substitute \mathbf{a =- \frac{5}{49}} in \mathbf{y = a(x - 14)^2 + 20}

\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}

Hence, the equation of the parabola  that describes the path of her jump is \mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0
2 years ago
Complementary events must have a sum of 1.
Bas_tet [7]

This is a true statement.

Consider two events A and B. We say they are complementary if P(A)+P(B) = 1

This means that either event A or event B must happen, since the "1" represents 100% probability. Having a probability of 100% means absolute certainty.

---------

Example:

A = the event it rains

B = the event it does not rain

P(A) = 0.30 = 30% chance of rain

P(B) = 0.70 = 70% chance it does not rain

P(A)+P(B) = 0.30+0.70 = 1

So this shows the two events are complementary.

8 0
3 years ago
To the nearest hundredth, what is the length of line segment AB ?
sladkih [1.3K]
The answer is 5.83
Use the Pythagorean Theorem to calculate the 3rd side length.
a^2+b^2=c^2
3^2+5^2=c^2
8 0
3 years ago
Find X, thanks in advance
irina1246 [14]

Answer: 63

Step-by-step explanation:

X = 63

Its adjacent meaning they will add up to 180 degrees

4 0
3 years ago
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