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Answer:

There is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

Step-by-step explanation:

The given parameters are;

The mean height of American Males, μ = 69.5 inches

The mean height of 43 male presidents, [tex]\overline x[/tex] = 70.78

The standard deviation, s = 2.77 inches

The number of male presidents = 43

The null hypothesis; H₀ μ = [tex]\overline x[/tex]

The alternative hypothesis; Hₐ μ ≠ [tex]\overline x[/tex]

The significance level, α = 0.05

The t test for the sample with unknown population standard deviation is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{70.78-69.5 }{\dfrac{2.77 }{\sqrt{43}}} \approx 3.0302[/tex]

The degrees of freedom, df = n - 1 = 43 - 1 = 42

The critical 't' value = 2.0181

Therefore, given that the t test value is larger than the critical-t, we reject the null hypothesis, therefore, there is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

Answer:

lets count the hundreths 20 + 28 = 48 tenths which would be .48 as a decimal then it would be 48/100, then 480% I think please wait for more responses if needed.

2/3

Step-by-step explanation:

the anwser would be either 2/3 or 1/3

Answer:

42,000+11=42,011

Hope this helps!

The standard form of "forty-two thousand eleven" will be 42,011.

A numerical expression is a combination of the terms quantitative, which refers to data, and expression, which denotes a statement. Consequently, it is a statement that uses numbers.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The standard form of "forty-two thousand eleven" will be given as,

Forty-two thousand eleven = 42 × 1,000 + 11

Forty-two thousand eleven = 42,011

The standard form of "forty-two thousand eleven" will be 42,011.

More about the words in numerical form link is given below.

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Answer:

Federcio's age possible values are those that are greater than 14 i.e 15, 16, 17 and so on

Step-by-step explanation:

Let Federico's age = x

Three times the difference of Federico’s age, and 4 means:

3(x - 4)

Increased by 7:

3(x - 4) + 7

Is greater than 37:

3(x - 4) + 7 > 37

Solving the inequality:

3x - 12 + 7 > 37

3x - 5 > 37

3x > 37 + 5

3x > 42

x > 14

Federcio's age possible values are those that are greater than 14

Answer:

48

Step-by-step explanation:

All the angles of a triangle add up to 180

180-45-87=48

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Answer:

m<1 = 145

Step-by-step explanation:

I'm going to name the unkown angle y for clarification

<1 will be x

y + 115 + 30 = 180

y + 145 = 180

y = 35

x + y = 180

x + 35 = 180

x = 145

Answer:

M angle 1 = 145

Step-by-step explanation:

The measurement of angle one is a combination of all the angles present in the triangle. This means that 115+30 is equal to angle 1

Answer:

y = -2/7x + 4

Answer:

if you have a calculator...

Step-by-step explanation:

take 85 to the 5th power and then divide that by 3.

Answer:

20

Step-by-step explanation:

correct on edge

Answer:

9;7

Step-by-step explanation:

Answer:

[tex]y = x -3[/tex]  

Step-by-step explanation:

1) First, find the slope by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. We can see that the two points marked on the line are (0, -3) and (3,0). So, substitute the x and y values of those points into the formula and solve:

[tex]m = \frac{(0)-(-3)}{(3)-(0)} \\m = \frac{0+3}{3-0} \\m = \frac{3}{3} \\m=1[/tex]

So, the slope is 1.

2) Slope-intercept form is represented by the formula [tex]y = mx+b[/tex]. Substitute values for [tex]m[/tex] and [tex]b[/tex] in order to write an equation.

Substitute 1 for [tex]m[/tex] since it represents the slope. Substitute -3 for [tex]b[/tex] since it represents the y-intercept. (Remember that the y-intercept is the point at which the line intersects the y-axis. So, by looking at the graph provided, we can see that (0,-3) is the y-intercept without doing any calculations.) This gives the following answer:

[tex]y = x -3[/tex]

Answer:

m<v' is 133 m<x' is 102 m<y' is 136

Step-by-step explanation:

when reflecting the shape doesn't change shape or size so the angle measure will stay the same

Step-by-step explanation:

angle ABC is a parallel to angle DEF

Answer:

If you give me options and a picture I can help.

Step-by-step explanation:

If not the question makes no sense

Answer:

2

2

+

1

2

−

5

4

2

(

2

+

6

−

2

7

)

Step-by-step explanation:

Answer:

25 m

Step-by-step explanation:

Answer:

[tex]280 {m}^{2} [/tex]

Step-by-step explanation:

Given,

Length of the cuboid = 10m

Breadth of the cuboid = 5m

Height of the cuboid = 6m

Therefore, surface area of the cuboid = 2( lh + lb + bh)

= 2 [(10m × 6m) + (10m × 5m) + (5m × 6m)]

[tex] = 2 \: (60 {m}^{2} + 50 {m}^{2} + 30 {m}^{2} )[/tex]

[tex] = 2 \times 140 {m}^{2} [/tex]

[tex] = 280 {m}^{2} (ans)[/tex]

Answer:

1. 302.1 ÷ 5 can be rewritten as 181.26 ÷ 3

2. 12.15 ÷ 0.02 can be rewritten as 2430 ÷ 4

3. 1.375 ÷ 0.11 can be rewritten as 75 ÷ 6

Step-by-step explanation:

Hope this helps!

Answer:

sen 30; cos 60

Step-by-step explanation:

Here's link to the answer:

tinyurl.com/wpazsebu

Answer:

It is 9

Step-by-step explanation:

2÷18=9

x=9

Hope ld this helped you

Answer:

60 points is the right answer

Step-by-step explanation:

Answer:

ya

Step-by-step explanation:

Answer:

5y+4x

Step-by-step explanation:

Answer:

4x + 5y

Step-by-step explanation:

3y + 3x + 2y + x

4x + 5y

Answer:

Diego is moving quickly.

Step-by-step explanation:

Noah and Diego are moving with the constant speed.

But their speeds are different which will be decided by the slope of the lines given in the graph.

Slope of the line representing Noah speed = [tex]\frac{\text{Distance covered}}{\text{Time elapsed}}[/tex]

Since, line for Noah has less slope than line for Diego, speed of Diego will be more.

Therefore, Diego is moving quickly.

Answer:

a) QT = 8

b) QN = 24  

c) QP = 23

d) MP = 46

e) RT = 6

f) TP = 12

Step-by-step explanation:

Find the diagram attached

If T is the centroid of<MNP, then the following are true;

TN = 2QT

Given TN = 16

16 = 2QT

QT = 16/2

QT = 8

QN = QT + TN

QN = 8 + 16

QN = 24

MQ + QP = MP and MQ = QP

If MQ = 23

QP = 23

Recall that MP =  MQ + QP

MP = MQ + MQ

MP = 2MQ

MP = 2(23)

MP = 46

Similarly, TP = 2RT

RT = TP/2

Also RP = RT + TP

RP = RT + 2 RT

RP = 3RT

18 = 3RT

RT = 18/3

RT = 6

Recall that TP = 2RT

TP = 2(6)

TP = 12

Answer:

A. The shape has three sides

Step-by-step explanation:

Hope this helps, have a great day

The solution is Option A.

The shape of the clock is having three sides and it represents a triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the shape of the clock be represented as A

Now , let the coordinates of the clock be

The first coordinate point of clock P = P ( -8 , 6 )

The second coordinate point of clock Q = Q ( 8 , 0 )

The third coordinate point of clock R = R ( 8 , 6 )

So , there are three sides to the clock with three coordinate points

The figure represents a triangle with 3 sides

Therefore , the value of A is a triangle

Hence , the figure represents a triangle

To learn more about triangles click :

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Answer: 10 I think not sure

Step-by-step explanation: 1/2 base times height-> 1/2(6•10)

Answer:

Step-by-step explanation:

1). Geometric mean of a and b = [tex]\sqrt{a\times b}[/tex]

   Therefore, geometric mean of 2 and 50 = [tex]\sqrt{2\times 50}[/tex]

                                                                       = 10

2). By geometric mean theorem,

   [tex]\frac{JM}{KM}=\frac{KM}{ML}[/tex]

   [tex]\frac{6}{e}=\frac{e}{24}[/tex]

   e² = 6 × 24

   e = √144

   e = 12

  Similarly, [tex]\frac{JL}{KJ}=\frac{KJ}{JM}[/tex]

   [tex]\frac{6+24}{d}=\frac{d}{6}[/tex]

   d² = 6 × 30

   d = √180

   d = 6√5

   And [tex]\frac{JL}{KL}=\frac{KL}{ML}[/tex]

   [tex]\frac{6+24}{c}=\frac{c}{24}[/tex]

   c² = 30 × 24

   c = √720

   c = 12√5

Answer:

X=8

Step-by-step explanation:

48+22=70

4×8=48

so X is 8

Answer: c. When a > 0 and b > 1, the function models exponential growth.

You have exponential decay when a > 0 and 0 < b < 1.

Step-by-step explanation:

Answer:

9x^3-5

Step-by-step explanation:

Answer: 453

Step-by-step explanation:

To solve the question, we have to calculate the margin of error which will be:

= (61.7% - 52.3%) / 2

= 9.4% / 2

= 4.7%

4.7% = 1 / ✓n

0.047 = 1 / ✓n

✓n = 1 / 0.047

✓n = 21.28

Square both sides to.gwt the value of n

n = 21.28²

n = 452.69

n = 453

453 residents were surveyed