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alexandr1967 [171]
4 years ago
5

Heights​ (cm) and weights​ (kg) are measured for 100 randomly selected adult​ males, and range from heights of 138 to 190 cm and

weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x overbarequals167.46 ​cm, y overbarequals81.44 ​kg, requals0.108​, ​P-valueequals0.285​, and ModifyingAbove y with caretequalsnegative 105plus1.08x. Find the best predicted value of ModifyingAbove y with caret ​(weight) given an adult male who is 177 cm tall. Use a 0.05 significance level.
Mathematics
1 answer:
mart [117]4 years ago
6 0

Answer:

Best predicted value of y' = 86.16 kg

Step-by-step explanation:

Given,

n = 100

Range of heights = 138 - 190cm

Range of weight = 39 to 150 kg

x' =167.46 cm

y' = 81.44 kg

r = 0.108

p value = 0.285

y = - 105 + 1.08x

Significance level = 0.05

We reject H0 since pvalue, 0.285 is less than significance level of 0.05.

Therefore,

Given height of adult male, x = 177 cm

y = - 105 + 1.08x

The best predicted value of y' =

y' = - 105 + 1.08(177)

y' = 86.16 kg

The best predicted value of y' is 86.16kg

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aleksley [76]
This would be perpendicular
6 0
3 years ago
Belle walks 7/10 mile each morning, and 1, 4/10 miles each evening.
kow [346]

Answer:

10.5 miles.

Step-by-step explanation:

If she walks 7/10 of a mile each morning, and 1, 4/10 of a mile each day, Belle walks a total of 2 1/10 of a mile each day (2.1) miles each day)

We can just multiply the amount of miles per day by 5, (2.1 x 5) and we get 10.5 miles total.

7 0
2 years ago
Read 2 more answers
Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a
Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

\vec F = (27.189,12.679)\,[lbf]

Vector (ordered pair - polar form)

\vec F = (30\,lbf, 25^{\circ})

Sum of vectorial components (linear combination)

\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force (\vec F), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

\vec F =  \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right) (1)

Vector (ordered pair - polar form)

\vec F = \left(\|\vec F\|, \theta\right)

Sum of vectorial components (linear combination)

\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j} (2)

Where:

\|\vec F\| - Norm of the vector force, in newtons.

\theta - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

\hat{i}, \hat{j} - Orthogonal axes, no unit.

If we know that \|\vec F\| = 30\,lbf and \theta = 25^{\circ}, then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]

\vec F = (27.189,12.679)\,[lbf]

Vector (ordered pair - polar form)

\vec F = (30\,lbf, 25^{\circ})

Sum of vectorial components (linear combination)

\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]

\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]

8 0
3 years ago
This is due tonight please help
CaHeK987 [17]

Answer:

81x^4

Step-by-step explanation:

With exponents, whatever is in the parentheses is multiplied by <u>itself</u> however many times the exponent says.

In this case, you would be solving 3 x 3 x 3 x 3 and (x)^4.

3^4 = 81 with x^4 gives you:

81x^4

Hope this helps you :)

8 0
2 years ago
Determine whether the value is from a discrete or continuous data set. Number of coins in a jar is 78 number of coins in a jar i
Phoenix [80]

Determine whether the value is from a discrete or continuous data set. Number of coins in a jar is 78 number of coins in a jar is 78

Answer: Number of coins in a jar is from a discrete data set. Because the given variable is countable in a finite amount of time.

If a variable can take on any value between two specified values, it is called a continuous variable; otherwise, it is called a discrete variable.


3 0
3 years ago
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