State the null and alternative hypotheses in testing following claims: (a) At most, 20% of next year’s wheat crop will be exported to UK. (b) On the average, homemakers drink 3 cups of tea per day. (c) The proportion of university graduates in this year who majored in the data analytics is at least 0.15. (d) The average donation to the Indian Council for Medical Research is no more than Rs. 10. (e) Residents in Gujarat commute, on the average, 15 kilometers to their place of employment

Answer:

X= -1

Step-by-step explanation:

2x+5=1(x+4)

2x+5=1x+4

2x-1x=-5+4

x=-1

Answer:

6 10

Step-by-step explanation:

Answer:

6, 10

Step-by-step explanation:

The first point is on 6, and ending at 10.

Step-by-step explanation:

The function that best describes the graph is y = (x - 1)² (C).

Given :

A road 2 m broad surrounds a square park 4225 m² in area.

Size of marble is 25 cm by 8 cm.

Price of each marble is Rs 50.

To Find :

Total cost.

Solution :

Side of square road is :

[tex]A^2 = 4225\ m^2\\\\A = 65\ m[/tex]

Area of road = [tex]4\times 65\times 2 \ m^2=520\ m^2[/tex]

Number of marbles required is :

[tex]N = \dfrac{A}{a}\\\\N = \dfrac{520\times 10^4\ cm^2}{200\ cm^2}\\\\N = 26000[/tex]

It is given that price per marble is Rs 50.

So, total price required is :

[tex]P = Rs \ 50\times 26000 \\\\P = Rs \ 13,00,000[/tex]

Hence, this is the required solution.

Answer:

3/40 hours.

Step-by-step explanation:

hope this helps !

Answer:

Two perpendicular segments are segment AB and segment CD

Step-by-step explanation:

The given construction with the straight edge and the compass gives;

1) A straight line CD

2) A line AE from the center of the circle A, to the line CD

3) The circles A and B constructed from the centers A and B respectively

Therefore

Whereby the points A and B are joint by the line AB, we have;

The line passing through the points C and D is the perpendicular bisector of line AB

Therefore, two perpendicular segments are segment AB and the perpendicular bisector of AB which is segment CD

Answer:

Step-by-step explanation:

3/4 / 1/2

i think u multiply the recipricol 3/4x2/1=6/4 or 3/2

Answer:

$54.19

Step-by-step explanation:

Answer:

Thank you very much :3

Have a great day!

also 1 + 1 is 2

Answer:

yeah I like that your free points and thanks

Answer:

4/33 = 0.12121

Step-by-step explanation:

Answer:

8/66 reduced is 4/33

Step-by-step explanation:

Answer:

G - 4 units

Step-by-step explanation:

Answer:

2 years

Step-by-step explanation:

Step one:

Given Information

Principal= $2600

rate = 4.5%

SImple interest = $234

Required

The time T of the investment

Step two:

the expression for simple interest is

[tex]SI= PRT/100[/tex]

substitute

[tex]234= 2600*4.5*T/100[/tex]

cross multiply we have

[tex]234*100= 2600*4.5*T\\\\23400= 11700T\\\\[/tex]

divide both sides by 11700

[tex]23400/11700= T\\\\T= 2 years[/tex]

Ummmm its not clear so

Answer:

The length of the ladder = 17 meters(17m)

Step-by-step explanation:

The formula to find the Length of the ladder is given as:

L² = x² + y²

Where L = Length of the Ladder

Let x = 8m

We solve for y

From the above question, we are told that:

The top of a ladder slides down a vertical wall at a rate of 0.32 m/s.

Hence: (-0.32)y = -0.32y

At the moment when the bottom of the ladder is 8 m from the wall, it slides away from the wall at a rate of 0.6 m/s. Hence:

8(0.6) - 0.32y = 0

4.8 = 0.32y

y = 4.8/0.32

y = 15m

Hence:

L² = x² + y²

L² = 8² + 15²

L² = 64 + 225

L² = 289

Square root both sides

L = √289

L = 17m

The length of the ladder = 17 meters(17m)

Answer:

-(m+2)(m^2+16)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

The unit rate is 6.5mph or 6.5 miles per hour.

Step-by-step explanation:

22.75/3.5 = 6.5

Answer:

C is not a zero for the solution of the polynomial equation

Please slow down with posting questions, this seems like a Canvas Exam.

Answer:

its not a zero

Step-by-step explanation:

hope this helps <3

Answer:

bruh okie

Step-by-step explanation:

Answer:

Slope is positive

Step-by-step explanation:

The slope is increasing in value as it trends upwards

Answer:

after 3 years on edg

Step-by-step explanation:

Answer:

3 years

Step-by-step explanation:

Answer:

6x+12

Step-by-step explanation:

5 + 2x + 7 + 4x

2x + 4x = 6x

5 + 7 = 12

6x + 12

Answer: T=7

Step-by-step explanation:

0t−15−7.5t=6−0.5t

2 Simplify  10t-15-7.5t10t−15−7.5t  to  2.5t-152.5t−15.

2.5t-15=6-0.5t2.5t−15=6−0.5t

3 Add 1515 to both sides.

2.5t=6-0.5t+152.5t=6−0.5t+15

4 Simplify  6-0.5t+156−0.5t+15  to  -0.5t+21−0.5t+21.

2.5t=-0.5t+212.5t=−0.5t+21

5 Add 0.5t0.5t to both sides.

2.5t+0.5t=212.5t+0.5t=21

6 Simplify  2.5t+0.5t2.5t+0.5t  to  3t3t.

3t=213t=21

7 Divide both sides by 33.

t=\frac{21}{3}t=

​3

​

​21

​​  

8 Simplify  \frac{21}{3}

​3

​

​21

​​   to  77.

t=7t=7

Answer:

5 / 6

Step-by-step explanation:

Given that:

Probability that a dice rolled once will not land on 2

Probability = required outcome / Total possible outcomes

Total possible outcomes = (1, 2, 3, 4, 5, 6)

Required outcome = 2

P(not land on 2) = 1 - p(land on 2)

P(land on 2) = 1/6

P(not land on 2) = 1 - 1/6

P(not land on 2) = 5/6

Answer:

- 12s² + 11st - 2t²

Step-by-step explanation:

Given

(- 3s + 2t)(4s - t)

Each term in the second factor is multiplied by each term in the first factor, that is

- 3s(4s - t) + 2t(4s - t) ← distribute both parenthesis

= - 12s² + 3st + 8st - 2t² ← collect like terms

= - 12s² + 11st - 2t²

Answer:

subtract 1/2x from 2/3x

Step-by-step explanation:

Step-by-step explanation:

doing whole question

12+7=23⋅−6

12+7=23⋅−6

12+7=23⋅−6

2+7=23⋅−6

2+7=23−6

2+7=23−6

2+7=23−6

2+7−7=23−6−7

Subtract the numbers

2=23−13

2=23−13

2⋅3⋅2=2⋅3(23−13)

Cancel multiplied terms that are in the denominator

Multiply the numbers

Distribute

Combine multiplied terms into a single fraction

Multiply the numbers

Cancel terms that are in both the numerator and denominator

3=4−78

4

4x4x

 from both sides of the equation

3=4−78

3x=4x-783x=4x−78

3−4=4−78−4

Combine like terms

−=−78

−=−78

-x=-78−x=−78

−−1=−78−1

Cancel terms that are in both the numerator and denominator

Divide the numbers

=78

Answer:

8.25 ft & 6.75 ft

Step-by-step explanation:

So we know it's split into two pieces, right? So normally that would be 7.5 ft each. But one is 1.5 ft longer than the other. So as a result, I divided that by 2 to add 0.75 ft to piece one and subtract 0.75 ft from piece two's length. So, the longer piece is 8.25 ft, and the shorter one is 6.75 ft.

Answer:

Solution given:

total length=15foot

splits into 2 pieces

let shorter pieces be x.

we have longer pieces =2x-1.5ft

Now

total length=x+2x-1.5ft

15 ft =3x-1.5ft

15+1.5=3x

x=[tex] \frac{16.5}{3} [/tex]=5.5ft

Now

shorter length: 5.5ft.

longer length:2*5.5-1.5=9.5ft.

Answer:

x = (c + 6b)/3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

-b + 3x = c + 5b

Step 2: Solve for x