The table shows the number of gallons of water

Answer:

y=10/3x+2

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

10x-3y=-6

-10x. -10x

-3y=-6-10x

/-3. /-3

y=10/3x+2

Answer:

60

Step-by-step explanation:

V = lwh

V= 4x3x5

V=60

Answer:

Solution given:

l=4cm

b=3cm

h=5cm

volume=l*b*h=4*3*5=60cm³

Answer:

Part a:  Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.

Part b:  Yes we accepted the null hypothesis when it is false so we made a type II error.

Part c: Power = 0.6591=0.66

Step-by-step explanation:

Part a:

Let the null and alternate hypotheses be

H0: u ≤ 1 against the claim Ha: u > 1

The significance level is ∝=0.01

As the standard deviation of the population is not given we use t- test which has n-1= 20-1= 19 degrees of freedom

This is one tailed test the critical region is t > ± 2.539

The mean is calculated to be 1.24 and standard deviation of the sample = s= 0.4486

We take population mean = u= 1

The test statistic is

t = x`-u/ s/ √n

t= 1.24-1 / 0.445/√20

t= 0.24/0.0995

t= 2.412

Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.

Part b:

Type I errors are those errors when the null hypothesis is true and is rejected.

Type II errors are those in which the null hypothesis is false and is accepted.

If we had rejected the null hypothesis as it was true then we would have made a type I error.

Population mean = u = 1.33

And our null hypothesis is u= 1

Yes we accepted the null hypothesis when it is false so we made a type II error.

Part c:

When σ= 0.5

For Part a: μ= 1.33

Power = P (reject H0/ H0 is false)

= 1-β

P (reject H0/ H0 is false) = P (z > 2.539+ (u`-u0) / σ*√n)

= P (z > 2.539+ (1-1.33) /0.5 *√20)

=P (z > 2.539-2.9516)

= P (z > 0.4126)

= 0.5 - P (z= 0.2938)                                         from the area of table.

= 0.5- 0.1591

=0.3409

Power = 1-β = 1- 0.3409= 0.6591=0.66

B: a+ 1/4b Hope this helps!

B. [tex]a + \frac{1}{4} b[/tex] ✅

Step-by-step explanation:

[tex] \frac{1}{2} (4a + b) - \frac{1}{4} (4a + b) \\ = \frac{4a + b}{2} - \frac{4a + b}{4} \\ = \frac{2(4a + b)}{2 \times 2} - \frac{4a + b}{4} \\ = \frac{8a + 2b}{4} - \frac{4a + b}{4} \\ = \frac{8a + 2b - 4a - b}{4} \\ = \frac{4a + b}{4} \\ = \frac{4a}{4} + \frac{b}{4} \\ = a \: + \frac{1}{4} b[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

the answer for x equal negative 7

Answer:4000 per year

Step-by-step explanation:

Answer:

8281.72

Step-by-step explanation:

Given:

Principal, P = 7700

Rate, r = 10 3/4 % = 43/4 % = 0.1075

Time, t = 253 days = 253/ 360

Using the relation :

A = P(1 + rt)

A = maturity value

A = 7700(1 + 0.1075*253/360)

A = 7700(1 + 0.0755486)

A = 7700(1.0755486)

A = 8281.7243

A = 8281.72

Answer:

x = - 7

Step-by-step explanation:

Given that the terms are in AP , then

a₃ - a₂ = a₂ - a₁ , substitute values

3x + 4 - (2x - 1) = 2x - 1 - (2x + 1) ← distribute and simplify both sides

3x + 4 - 2x + 1 = 2x - 1 - 2x - 1

x + 5 = - 2 ( subtract 5 from both sides )

x = - 7

Answer:

76 books

Step-by-step explanation:

2/3 × 114 = 76

__________

Answer:

well Liam is right that is the same statement

Answer:

[1,8] or 1 [tex]\leq \\[/tex] x [tex]\leq[/tex] 8

Step-by-step explanation:

The domain is number of classes she can/will take, therefore the domain is between 1 and 8.

Answer: is 43.1

Step-by-step explanation:

Answer:

In other words, they want you to find the volume of the cone.

Volume of a cone=1/3 (pi * radius^2 *h)

Volume=1/3 [3.14* (22)^2 * 120]

Volume=1/3 (3.14*484*120)

Volume=1/3 (182371.2)

Volume= 182371.2/3

Volume=60790.4

The volume of the cone is 60790.4mm^3

But that is not the final answer. Since liquid is measured in litres, You need to convert it to millilitres. So the answer is that one chocolate dip cone can hold a maximum of 60.9704 milliliters  

Step-by-step explanation:

Hope this helps

Answer:

78.5 un²

Step-by-step explanation:

A = π · r²

π · 10²

314 un²

314 un² ÷ 4

78.5 un²

Step-by-step explanation:

m∠A = 70°

m∠B = 30°

m∠C = 80°

Sum of all three angles = 70° + 30° + 80° = 180°

Hope it helps....!

Answer: The Diagram of the refracted angle is attached below

answer :  ∅ = cos^-1 ( w/d )

Step-by-step explanation:

The trigonometric expression for the refracted angle  

with respect to ; Distance ( d )  and width ( w )

Cos ∅ = Adjacent / Hypotenuse ----- ( 1 )

where; adjacent = W . Hypotenuse = d

back to equation 1

Cos ∅ = w / d

∴ ∅ = cos^-1 ( w/d )

Answer:

The average rate of change of the function over the interval is of 6.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function h(x) over an interval [a,b] is given by:

[tex]A = \frac{h(b)-h(a)}{b-a}[/tex]

In this question:

Over the interval [-9,-2], so [tex]a = -9, b = -2, b - a = -2 -(-9) = 7[/tex]

The function is:

[tex]h(x) = -x^2 - 5x + 14[/tex]

[tex]h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22[/tex]

[tex]h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20[/tex]

Then

[tex]A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6[/tex]

The average rate of change of the function over the interval is of 6.

9514 1404 393

Answer:

  B.  y = x + 0.5

Step-by-step explanation:

The y-intercept of 0.5 eliminates choices A and C.

When x increases by 1, y increases by 1, eliminating choice D.

The equation of choice B is graphed.

  y = x + 0.5

Answer:

answer 4 kilometer

Step-by-step explanation:

2 + 1 + 1 = 4

Answer:

3 DAYS IS 10800 WATTS.

Step-by-step explanation:

3600 WATTS × 3 DAYS =10800 WATTS.

Answer:

Solution given:

[tex] sin x=\frac{7}{25}[/tex]

[tex]Cosx=\frac{24}{25}[/tex]

Tanx=[tex]\frac{sinx}{cosx}=\frac{\frac{7}{25}}{\frac{24}{25}}[/tex]

Tan x=[tex] \frac{7*25}{24*25}[/tex]

tan x=[tex] \frac{7}{24}[/tex]

is a required answer.

Answer:

G is true is out divide 1/7 by 2 out get 1/14

H is false the product is always 1

I is false all numbers have a reciprocal besides 0

Answer:

g. True

h. False

i. False

Step-by-step explanation:  

g.  

[tex]\frac{1}{14}[/tex] is half of [tex]\frac{1}{7}[/tex]  

This would be true because half of a number can be found by multiplying by [tex]\frac{1}{2}[/tex]  

If you multiplied [tex]\frac{1}{7} * \frac{1}{2}[/tex]  

The numerator is 1 * 1 which is 1  

And then the denominator is 7 * 2 which is 14  

That would give you [tex]\frac{1}{14}[/tex]

h.  

The products of two reciprocals is 0  

This is not true  

Reason being, reciprocals are just the number flipped. If you times the number by itself, you don't get 0, you get 1.  

Ex:  [tex]\frac{2}{8}[/tex]

Its reciprocal is [tex]\frac{8}{2}[/tex]  

So multiply them together

[tex]\frac{2}{8}* \frac{8}{2}[/tex]  

2 * 8 = 16  

8 * 2 = 16  

[tex]\frac{16}{16} = 1[/tex]

i.  

A whole number does not have a reciprocal  

This is incorrect. If you think about it, a whole number is just the number, over 1  

Ex: [tex]\frac{6}{1}[/tex]

This is still a whole number even though its written in fraction form because if you divide 6 by 1, your still going to get 6.

If you an write it as a fraction, it has a reciprocal.

The reciprocal in this case would be [tex]\frac{1}{6}[/tex]

I hope this helps, don't be afraid to reach out with any further questions!

Answer:

$ 4096 on the 7th day

Step-by-step explanation:

From the amount earned for the first 3 days it's 1 , 4 , 16 , .... We realize it increases exponentially.

So therefore:

Day 1 =4⁰

Day 2=4¹

Day 3=4²

Day 4=4³

Day 5=4⁴

Day 6=4⁵

Day 7=4⁶

Therefore on day 7 he saves 4⁶ which is $4096

Answer: B, D, and F

Step-by-step explanation:

Hi, so for this question, the phone bill is in an equation. Before doing this problem, make sure to understand what the 2 and 56 mean. The problem says that c is the monthly charge, and m is the number of minutes. This means that 2 is the number of dollars required to pay when you use the phone for one minute. So 2 dollars per minute. The 56 is basically the fee that is just charged for using the phone bill. Meaning that even if you don't use the phone at all, you will still need to pay 56 dollars.

By understanding those info, it should be easier to answer.

For A, it is not correct. if you look, although 2*4 is 8 dollars, but you need to add 56 for the monthly bill. (I think when they say 'your bill' they mean the monthly bill).

For B, it is correct. Like I said before, the 56 dollars is there no matter how long you use the phone.

For C, it is not correct. This isn't hard to understand since if B is correct, C is probably not, and vise versa. And the 56 dollars is missing.

For D, it is correct. As I said before, the 2 represents the amount of dollars for one minute.

For E, it is not correct. (Contradicts the previous answer and each minute costs 2 dollars).

For F, it is correct. When you use 2 minutes, the equation is 2*2+56 which is 60 dollars.

Hopefully this helps!

GE = 26

Step-by-step explanation:

OP = 16 + 9 = 25

PE - OG = 7

Using Pythagorean theorem,

(GE)^2 = (OP)^2 + (PE - OG)^2

=(25)^2 + (7)^2

= 625 + 49

= 674

or

GE = √674 = 25.96 or 26

Answer:

3/14

Step-by-step explanation:

12/56 is equivalent to 3/14

Answer:

14

Step-by-step explanation:

We simplify the fraction 12/56 by dividing the top and bottom by 4 to get 3/14. Thus, it is clear that the question mark is 14.

Answer: The answer is 5/4 :)

Answer:

5/4 or 1 1/4

Step-by-step explanation:

khan academy

Answer:

the answer to this question is"B"

B. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box

Randomly select the winning customer's form out of the box

AMPERE - A unit of measure for the flow of current in a circuit. One ampere is the amount of current flow provided when one volt of electrical pressure is applied against one ohm of resistance.

Electronics uses active devices to control electron flow by amplification and rectification, which distinguishes it from classical electrical engineering, which only uses passive effects such as resistance, capacitance and inductance to control electric current flow.

To learn more about Electronics, refer

https://brainly.com/question/18569581

#SPJ2

Answer:

See image

Step-by-step explanation:

I clicked submit and it was right

Also dude I remember doing this and struggling before