Enter the number that belongs in the green box

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Answer:

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

Step-by-step explanation:

Given that;

mean x" = 5.4

standard deviation σ = 0.7  

n = 6

Null hypothesis H₀ : μ = 5.0  

Alternative hypothesis H₁ : μ > 5.0    

∝ = 0.025    

now,

t = ( 5.4 - 5.0) / ( 0.7/√6) = 0.4 / 0.2857 = 1.4

degree of freedom df = n-1 = 6 - 1 = 5

T critical = 2.571

Therefore; t < T critical,

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

Answer:

64

Step-by-step explanation:

2^6, or 2⁶, is two to the power of six.

Basically you multiply the bottom number (in this case 2) by itself as many times as the the number in the top right (in this case six)

2^6=2*2*2*2*2*2=64

Answer: 64

Step-by-step explanation:

2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 = 64

2 ⋅ 2 ⋅ 2 = 8

2 ⋅ 2 ⋅ 2 = 8

8 x 8 = 64

Answer:

33

Step-by-step explanation:

because 165 divided by 5 is 33 and if you add 33 5 times it gives you 165

Answer:

58080 Yards

Step-by-step explanation:

165/5 = 33 miles an hour

33 miles an hour ~ 58080 yards an hour

Answer:

   [tex]x = \sqrt{\frac{7}{2} }[/tex]

Step-by-step explanation:

Explanation

From given graph

          AC = √7

 Given angle ∝ = 45°

    [tex]cos\alpha = \frac{adjacentside}{Opposite side}[/tex]

   [tex]cos45 = \frac{x}{\sqrt{7} }[/tex]

      [tex]\frac{1}{\sqrt{2} } = \frac{x}{\sqrt{7} }[/tex]

       [tex]x = \frac{\sqrt{7} }{\sqrt{2} }[/tex]

      [tex]x = \sqrt{\frac{7}{2} }[/tex]

     x = 1.8708

Answer:

3.75%

Step-by-step explanation:

Principal , P= $800

Number of years, t = 2

Total Amount paid back(principal + simple interest) , A = $860

To obtain the interest rate on the loan :

We use the Relation :

A = P(1 + rt)

r = interest rate

860 = 800(1 + 2r)

860 / 800 = 1 + 2r

1.075 = 1 + 2r

1.075 - 1 = 2r

0.075 = 2r

r = 0.075 / 2

r = 0.0375

Hence, interest rate on loan = 0.0375 = (0.0375 * 100%) = 3.75%

Answer:

The answer is 1 1/3

Step-by-step explanation:

First you multiply the numerators then the denominators.

16 x 3 =48 , 9x4=36 =48/36. So that is your answer but it can still be simplified.

They can both be divided by 12 . 48 divided by 12 = 4 . 36 divided by 12 =  3.

but 4/3 is an improper fraction so you divide 4 by 3 and you get 1 with a remainder 1 = 1 and 1/3

Answer:

25%

Step-by-step explanation:

9514 1404 393

Answer:

  (a, b, c) = (30, 50, 55)

Step-by-step explanation:

If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...

  A : B = 3 : 5 = 6 : 10

  A : C = 6 : 11

so ...

  A : B : C = 6 : 10 : 11

The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.

Multiplying the last ratio statement by 5, we find the lengths of each of the sides.

  A : B : C = 6 : 10 : 11 = 30 : 50 : 55

The side lengths are (a, b, c) = (30, 50, 55).

Answer:

simple.

Step-by-step explanation:

If you know the angle of a straight line, its 180. first, subtract 180-135. this wqould be 45. therefore, the interior angle is 45. We know that a triangles area always adds to 180, so it would be 45+x+74=180. this would be x=61. to check, add the same thing, 45+74, but instead of x add 61.

Step-by-step explanation:

fresco didn't Divo ratify jdndodnswjskd ksosbwjw

Answer:

8 feet

Step-by-step explanation:

56/7= 8. hope this helps!

Answer:

[tex]Height= 5cm[/tex]

Step-by-step explanation:

Given

Tank:

[tex]Base =20cm\ by\ 17cm[/tex]

[tex]Depth = 28cm[/tex]

Water:

[tex]Quantity = 1\frac{1}{4}L, 350mL, 100mL[/tex]

Required

Determine [tex]the\ height[/tex] of the water in the tank

First, we calculate the total volume of water added.

[tex]Quantity = 1\frac{1}{4}L+ 350mL + 100mL[/tex]

[tex]Quantity = 1.25L+ 350mL + 100mL[/tex]

Convert all units to Litres

[tex]Quantity = 1.25L+ 0.35L + 0.1L[/tex]

[tex]Quantity = 1.7L[/tex]

Convert to cm^3

[tex]Quantity = 1.7 * 1000cm^3[/tex]

[tex]Quantity = 1700cm^3[/tex]

The volume of the water in the tank is calculated as:

[tex]Volume =Base\ Area * Height[/tex]

i.e. the base area of the tank multiplied by the height of the water in the tank

[tex]Volume =20cm * 17cm* Height[/tex]

[tex]Volume =340cm^2* Height[/tex]

Since the above represents the quantity of water, we can substitute 1700cm^3 for Volume

[tex]1700cm^3=340cm^2* Height[/tex]

Make height the subject

[tex]Height= \frac{1700cm^3}{340cm^2}[/tex]

[tex]Height= \frac{1700cm}{340}[/tex]

[tex]Height= 5cm[/tex]

Answer:

a. quadrant II

b. quadrant III

c. quadrant I

d. quadrant IV

e. y axis

f. x axis

Step-by-step explanation:

Answer:

5x7=35

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Given that the length of the plastic string is 3 3/4 feet = 15 / 4 feet.

Bracelets of 5/8 foot long is needed to be made. To determine the maximum number of bracelets that can be made; using the number line, 5/8 is subtracted repeated times from 15/4.

We can see that when 5/8 is subtracted 6 times from 15/4, the result is 0.

15/4 ÷ 5/8 = 6

Hence Tara can make 6 bracelets from the plastic sting.

Answer:

18 sack lunches.

Step-by-step explanation:

You want 1/2 bananas and you have 9.

9 / 1/2 = 9 x 2 = 18 lunches.

Answer:

False

If the transformations include a reflection, then the orientation will change. A translation or rotation will preserve the original orientation

Answer:

1..........................

Answer:

Andre scored 14 points.

Step-by-step explanation:

set up expressions with the info given:

Diego's points: a –9

Andre's points: 2d. and

n = 2d

Noah's points = 10

Use the expressions to set up equations to solve.

To find a, Andre's points, we can work backwards.

Substitute the 10 from the last expression for n in the equation n=2d, and solve for d:

10 = 2d. Divide both sides by 2

5 = d

Substitute the value of d, Diego's points, to make an equation using the first expression:

5 = a –9 Add 9 to both sides.

5 + 9 = a a = 14

Andre scored 14 points

Answer:

136

Step-by-step explanation:

[tex]2+\sqrt{x+8} =14\\\sqrt{x+8} =12\\x+8=144\\x=136[/tex]

Answer:

2+  x+8  =14

Subtract 2 from both sides of the equation.

x+8  +2−2=14−2

Subtracting 2 from itself leaves 0.

x+8 =14−2

Subtract 2 from 14.

x+8  =12

Square both sides of the equation.

x+8=144

Subtract 8 from both sides of the equation.

x+8−8=144−8

Subtracting 8 from itself leaves 0.

x=144−8

Subtract 8 from 144.

x=136

Step-by-step explanation:

Step-by-step explanation:

2500x=5000000

2500x/2500=5000000/2500

x=2000

I think the answer is this

Answer:

find and interpret the value of × so that t(×) = 114.

Answer:

f(-3)= -8

f(2) = 4

Step-by-step explanation:

The first equation x ≤ 0 means that if the variable x, or in our case, -3, is less than or equal to 0, the answer will be calculated into the equation.

3(-3) + 1 = -8

The bottom equation x ≥ 2 means that if the variable, x, or in our case, 2 is more than or equal to 2, the answer is 4. Since 2 is equal to 2, the answer would then be 4.

Answer:

2.5 meters per second.

Step-by-step explanation:

[tex]\frac{\text{meters}}{\text{seconds}}=\frac{10}{4}=\frac{10/4}{4/4}=\boxed{\frac{2.5}{1}}[/tex]

Max's walking rate should be 2.5 meters per second.

Hope this helps.

Answer:

2.5 meter

You have to do 10÷4 wich is 2.5 and thats your awnser!

Answer:

x=10

Step-by-step explanation:

right angle is always 90

we can add 4+6=10

90-10=80

3*x+5*x=8*x

8*x=80

divide both sides by eight

x=10

Answer:31

Step-by-step explanation:

59=64

(a) The lowest fuel efficiency in 30's is 31

(b) The lowest fuel efficiency in the overall sample is 13

(c) There are 4 cars in the sample that have fuel efficiencies in 40's

Given :

Stem and leaf display of data

Fuel efficiency (miles per gallon)

1    3

2    3 9

3    1 1 6 7

4    3 4 5 6

5    1 3 3 8

Explanation :

(A) We need to find the lowest fuel efficiency in 30's

So we look at the data's in third row

It shows the fuel efficiency of 31,31,36,37 miles per gallon

The lowest fuel efficiency in 30's is 31

(B) Lets write the fuel efficiency from the given table

13, 23, 29, 31,31,36, 37, 43, 44, 45, 46, 51, 53, 53, 58

The lowest fuel efficiency in the overall sample is 13

(C) Lets write the fuel efficiency of 40's

43, 44, 45, 46

So, there are 4 cars in the sample that have fuel efficiencies in 40's

Learn more : brainly.com/question/19228281

Answer:

A) t(x)=948(0.955)^x

Step-by-step explanation:

The key term here is decreases by. This means there's going to be exponential decay. The exponential decay factor, r, in this case, will be r=1-0.045=0.955 and we also know this is exponential decay because r<1. The only possible option that works is A because when x=0 the result should be $948 because only 0 years have passed!

Answer:

The dimension is: 232ft by 85ft

Step-by-step explanation:

Given

Shape: Rectangle

[tex]A = 19720[/tex] --- Area

[tex]P = 634[/tex] --- Perimeter

Required

Determine the dimension

Area is calculated as:

[tex]A = L * W[/tex]

This gives

[tex]19720 = L * W[/tex]

Perimeter is calculated as:

[tex]P = 2(L + W)[/tex]

This gives

[tex]634 = 2(L + W)[/tex]

Divide both sides by 2

[tex]317 = L + W[/tex]

Make L the subject

[tex]L = 317 -W[/tex]

Substitute 317 - W for L in [tex]19720 = L * W[/tex]

[tex]19720 = (317 - W)*W[/tex]

Open brackets

[tex]19720 = 317W - W^2[/tex]

Rewrite as:

[tex]W^2 - 317W + 19720 = 0[/tex]

Expand

[tex]W^2 -232W - 85W + 19720 = 0[/tex]

Factorize:

[tex]W(W -232) - 85(W - 232)= 0[/tex]

[tex](W - 85) (W - 232)= 0[/tex]

Split

[tex]W = 85\ or\ W = 232[/tex]

Recall that:

[tex]L = 317 -W[/tex]

[tex]L= 317 - 85\ or\ L = 317 - 232[/tex]

[tex]L= 232\ or\ L = 85[/tex]

Hence, the dimension is: 232ft by 85ft

The dimension of the  rectangular rink is 85ft by 232ft

Given the following parameters

The formula for finding the area is:

A = lw

lw = 19,720

l = 19,720/w

If the perimeter is 634 feet

2(l+w) = 634

2(19,720/w + w) = 634

39,440/w + 2w = 634

39,440 + 2w^2 = 634w

2w^2 - 634w + 39,440 = 0

On factorizing, w=85 or w=232

Since l = 19,720/w

l = 19,720/232

l = 85

Hence the dimension of the  rectangular rink is 85ft by 232ft

Learn more on area of triangle here: https://brainly.com/question/17335144