how many liquid cups are in 315 grams?

315 gr = _____ cups​

Answer:

58 inches²

Step-by-step explanation:

The formula for the surface area of a net rectangular prism is:

[tex]2(lw+hl+hw)[/tex]

l is length

w is width

h is height

[tex]2((5)(4)+(1)(5)+(1)(4))[/tex]

[tex]2(20+5+4)[/tex]

[tex]2(29)=58[/tex]

Answer:

[tex]\boxed{Surface \ Area = 58 \ in.^2}[/tex]

Step-by-step explanation:

Surface Area of Rectangular Prism = [tex]2(wl+lh+wh)[/tex]

Where l = 5 in. , h = 1 in. and w = 4 in.

SA = 2[(4)(5)+(5)(1)+(4)(1)]

SA = 2(20+5+4)

SA = 2(29)

SA = 58 in.²

Answer:

31.4 inches

Step-by-step explanation:

The circumference of a circle has the formula 2πr.

2 × π × 5

= 10 × 3.14

= 31.4

31.4 inches of ribbon is needed to go once around the rim.

Answer:

15.7 inches of ribbon.

Step-by-step explanation:

This question is basically asking for the circumference of the glass vase's rim. We can calculate that by multiplying the diameter by π, which in this case, is 3.14.

The diameter is 5 inches, so all you need to do is 5 * 3.14 = 15.7 inches of ribbon.

Hope this helps!

Answer:

The test statistic value  t =  1.64 < 2.0086 at 0.05 level of significance

Null hypothesis is accepted

The mean portfolio value for all senior citizen shareholders in this region might not be the same as the mean value reported for their counterparts across the nation

Step-by-step explanation:

Step(i):-

Given mean of the population (μ) =  $183,000

Given mean of the sample (x⁻)  = $198,000

Given standard deviation of the sample (S) =  $65,000.

Mean of the sample size 'n' = 51

level of significance  α = 0.05

Step(ii):-

Null hypothesis : H₀ : There is no significance difference between the means

Alternative Hypothesis :H₁: There is  significance difference between the means

Test statistic

             [tex]t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

           [tex]t = \frac{198,000- 183,000 }{\frac{ 65,000}{\sqrt{51} } }[/tex]

          t =  1.64

Step(iii)

Degrees of freedom  ν = n-1 = 51-1 =50

t₀.₀₅ =  2.0086

The calculated value  t =  1.64 < 2.0086 at 0.05 level of significance

Null hypothesis is accepted

Final answer:-

There is no significance difference between the means

The mean portfolio value for all senior citizen shareholders in this region might not be the same as the mean value reported for their counterparts across the nation

n=m+4

given formula,

n=3m-2l

and,

l=m+2

here in this question We have to substitute the values of "l" in the formulae

we get,

n=3m-2(m+2)

n=3m-2m+4

n=m+4

so if we complete the process correctly we get n=m+4

Answer:

6199 is the actual answer

Step-by-step explanation:

The amount Danni will have in the account after 4 years is $6,194.09.

Given that, principal=$5700, rate of interest=2.1% and time period=4 years.

We need to find how much Danni will have in the account after 4 years.

The formula for compound interest is [tex]A = P(1 + \frac{r}{100} )^{nt}[/tex], where P is the principal balance, r is the interest rate, n is the number of times interest is compounded per time period and t is the number of time periods.

Now, Amount [tex]=5700(1+\frac{2.1}{100} )^4[/tex]

[tex]=5700(1+0.021)^4[/tex]

[tex]=5700(1.021)^4[/tex]

=$6,194.09

Therefore, the amount Danni will have in the account after 4 years is $6,194.09.

To learn more about compound interest visit:

https://brainly.com/question/14295570.

#SPJ2

Answer:

12

Step-by-step explanation:

For polygons that are similar to each other, the ratio of their corresponding sides are usually equal to each other, as they are proportional.

Therefore, given that ∆DAE is similar to ∆BAC, AD = 6, AB = 6+4 = 10, AE = x, AC = x + 8, therefore:

AD/AB = AE/AC

6/10 = x/(x+8)

Cross multiply

6*(x+8) = x*10

6x + 48 = 10x

Subtract 6x from both sides

48 = 10x - 6x

48 = 4x

Divide both sides by 4

48/4 = x

x = 12

Length of side AE = 12

For total distance add them all together.

5.9 + 4 = 9.9

9.9 + 6.8 = 16.7 km total

Answer:

[tex]\boxed{ x = 0}[/tex]

Step-by-step explanation:

7x + 24x = 25 x

31 x = 25 x

Subtracting 25x to both sides

31x - 25x = 0

6x = 0

Dividing both sides by 6

=> x = 0

Answer:

x = 0

Step-by-step explanation:

7x + 24x = 25x

Combine like terms.

31x = 25x

Subtract 25x on both sides.

6x = 0

Divide both sides by 6.

x = 0

You are told up to 40 people are going and that the van holds 12.

40-12 = 28

So up to 28 people will need to buy train tickets.

Let n be the number of people buying train tickets and x is the total number of people going

N <= (x-12)

Answer:

[tex] y = 5x [/tex]

Step-by-step explanation:

Line equation is given as y = mx + b

Where, m is the slope of the line, which is,

[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]

b is the y-intercept. It is the point at which the line crosses the y-axis for which the value of x = 0.

=>Find m and b to derive an equation for the line.

using the 2 coordinate pairs, (1, 5), (-1, -5),

Let, x2 = -1,

x1 = 1,

y2 = -5,

y1 = 5

[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex] m = \frac{-5 - 5}{-1 - 1} [/tex]

[tex] m = \frac{-10}{-2} [/tex]

[tex] m = 5 [/tex]

From the graph given, the line intercepts the y-axis at point 0. Therefore b = 0.

Plug in the values of m and b in the line of equation.

y = mx + b

y = 5x + 0

y = 5x

Therefore, the equation of the line, in the graph above, written in slope-intercept form is:

[tex] y = 5x [/tex]

Answer:

Choice C.

Step-by-step explanation:

Your choice is correct

2 stands for a starting point which is 2 feet from the home

As the ant moves, over time, the distance increases according to the function

Answer:

Step-by-step explanation:

a+b-c+d is expression

1/3<r/9 is inequality

and the last one is an equation

an inequality contains one of the 4 symbols

in an expression there is no equal sign

Answer:

x = -8/3

Step-by-step explanation:

Step 1: Write equation

-3/4(-3/8)(x) = -3/4

Step 2: Multiply

9/32(x) = -3/4

Step 3: Divide

x = -3/4/(9/32)

x = -3/4(32/9)

x = -8/3

Answer:

-8/3

Step-by-step explanation:

-(3/4) x (-3/8)= 9/32

9/32 times (-8/3) = -3/4

Answer: -8/3

Angle b= 50

Angle c= 130

Complementary angles are two angles that add to equal 90

Supplementary angles are two angles that add to equal 180

To find the measurement of angle b, subtract 40 from 90 (50)

To find the measurement of angle c, subtract 50 from 180 (130)

The measures of complementary and supplementary angles are given by m∠B = 50° and m∠C = 130°

Supplementary angles are two angles that add up to 180 degrees. In other words, if angle A and angle B are supplementary, then:

A + B = 180°

Complementary angles are two angles that add up to 90 degrees. In other words, if angle A and angle B are complementary, then:

A + B = 90°

Given data ,

If m∠A = 40°, then its complement ∠B = 90° - m∠A = 90° - 40° = 50°.

Since ∠C is a supplement of ∠B, we know that m∠C + m∠B = 180°.

Therefore, we can solve for m∠C by rearranging this equation to get:

m∠C = 180° - m∠B

Substituting the value we found for m∠B, we get:

m∠C = 180° - 50° = 130°

Hence , the angles are mZB = 50° and mZC = 130°.

To learn more about complementary and supplementary angles click :

https://brainly.com/question/14690981

#SPJ7

Answer:

ME = 3.64

Step-by-step explanation:

Given:

Sample size, n = 21

Sample mean, X' = 95

Standard deviation [tex] \sigma [/tex] = 8.

Confidence interval = 95%

Significance level [tex] \alpha[/tex] = 0.05

Required:

Find margin of error

To find the margin of error, use the formula below:

[tex] M.E = \frac{\sigma}{\sqrt{n}} * t_\alpha_/_2; _d_f [/tex]

Where,

[tex] t_\alpha_/_2 = 0.05/2 = 0.025[/tex]

degree of freedom, df = n - 1 = 21 - 1 = 20

Therefore,

[tex] M.E = \frac{8}{\sqrt{21}} * t_0_._0_2_5; _2_0 [/tex]

Using the table at 95% Confidence interval, we have:

[tex] = \frac{8}{\sqrt{21}} * 2.086 [/tex]

[tex] = 3.6416 [/tex]

Rounding to 2 decimal places,

ME = 3.64

Answer:

110 feet/sec

Step-by-step explanation:

75 miles x 5280 feet

= 396000

396000/60 min

=6600

6600/60 secs

=110 feet/second

Answer: 15 minutes is spent on reading

Step-by-step explanation:

1 hour = 60 minutes

Jeny spends 3/5th texting

= 3/5 x 60 = 36 minutes

Remaining = 60 - 36 = 24 minutes

3/8 on brushing and pyjamas

= 3/8 x 24 = 9 minutes

Remaining time is 60-36-9 = 15

Answer:

15 minutes

Step-by-step explanation:

3/5 texting

1 hour * 3/5 =

60 minutes * 3/5 =36 minutes

60 -36 = 24 minutes left

3/8 of that time brushing teeth

24 * 3/8 = 9 minutes

24 - 9 = 15

That leaves 15 minutes for reading

Answer:

$ 2,4

Step-by-step explanation:

135% .............$ 3,24

100% .............$ x

x = 3,24×100/135

= 324/135

= $ 2,4

Answer:

The correct option is (C).

Step-by-step explanation:

The general form of a confidence interval is:

[tex]CI=SS\pm CV\cdot SE[/tex]

Here,

SS = Sample statistic

CV = critical value

SE = standard error

The width of the confidence interval is:

[tex]\text{Width}=2\cdot CV\cdot SE[/tex]

The width of the confidence interval is dependent upon the critical value and hence dependent upon the confidence level.

As the confidence level increases the critical value increases hence in turn increasing the width of the interval.

And as the confidence level decreases the critical value decreases hence in turn decreasing the width of the interval.

In this case the 95% confidence interval is, (90.21,100.37).

And the 99% confidence interval is, (93.61.98.53).

It is clear by looking at the two intervals that the 95% confidence interval is wider than the 99%. Thus, this clearly indicates that the co-worker made a mistake.

The correct option is (C).

Answer:

The answer is [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

Velocity formula:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

A tourist can bicycle 28 miles in the same time as he can walk 8 miles. He can ride 10 mph faster than he can walk:

This means that:

[tex]v = \frac{8}{t}[/tex]

And

[tex]v + 10 = \frac{28}{t}[/tex]

[tex](v + 10)t = 28[/tex]

From the first equation:

[tex]vt = 8[/tex]

So

[tex]vt + 10 = 28[/tex]

[tex]8 + 10t = 28[/tex]

[tex]10t = 20[/tex]

[tex]t = \frac{20}{10}[/tex]

[tex]t = 2[/tex]

He walks 8 miles in two hours, so:

[tex]v = \frac{8}{2} = 4[/tex]

4 miles per hour.

How much time (in hr) should he allow to walk a 25-mile trail?

This is t when [tex]d = 25[/tex]. So

[tex]v = \frac{d}{t}[/tex]

[tex]4 = \frac{25}{t}[/tex]

[tex]4t = 25[/tex]

[tex]t = \frac{25}{4}[/tex]

The answer is [tex]\frac{25}{4}[/tex]

Answer:

Step-by-step explanation:

The graph below was created by a graphing utility.

It shows no horizontal gaps: f(x) is defined for all values of x, so the domain is all real numbers.

It shows a vertical gap between y=-6 and y>-5. So, the range is in two parts:

  {-6} ∪ {y > -5}

Answer:

To obtain a stratified sample of 30 participants, we divide the people according to their destination, ending up with four groups(Naples, Liverpool, Barcelona, Paris). Finally, we choose some members each of those groups. Adding the members choosing from all groups, we have 30 members.

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

A stratified sample divided all the people into groups, and then surveyes some elements(some people) of each group.

Population: 390 people in the terminal.

Groups: 4 groups. Those traveling to Naples, those traveling to Barcelona, those traveling to Paris and those traveling to Liverpool.

Stratified sample of 30:

To obtain a stratified sample of 30 participants, we divide the people according to their destination, ending up with four groups(Naples, Liverpool, Barcelona, Paris). Finally, we choose some members each of those groups. Adding the members choosing from all groups, we have 30 members.

Answer:

a. 4650

b.

1. 332

2. 2076

3. 8306

Step-by-step explanation:

a. The planning value for population standard deviation is,

s = (maximum - minimum) / 4

s = (61600 - 43000) / 4

s = 4650

that is, it would be 4650, the planning value for population standard deviation

b. we have to:

n = (z * s / E) ^ 2

z for confidence level 95% is 1.96, E = 500; 200; 100

replacing:

1.

n = (1.96 * 4650/500) ^ 2

n = 332.2 = 332

2.

n = (1.96 * 4650/200) ^ 2

n = 2076.6 = 2076

3.

n = (1.96 * 4650/100) ^ 2

n = 8306.4 = 8306

Answer:

the coach will have a combination of 2 players since there are initially 4 players on ground and he's picking two from them.

Answer:

Step-by-step explanation:

vector u=<(11-(-7),(-5-2)>=<18,-7>

as direction is opposite to u

so vector v=-3(18,-7)=(-54,21)

Answer:

Explanation;

Associated line with this equation is:

y=mx+c

when,

X=0

y=-4

so, c=-4

X=1

y=-1

[tex] - 1 = m- 4 \\ - m = - 4 + 1 \\ - m = - 3 \\ m =3 \\ [/tex]

[tex]y = 3x - 4 \\ or \: y + 4 = 3x \\ or \: \frac{y + 4}{3} = x[/tex]

Inequality representated by graph:

[tex]x \geqslant \frac{y + 4}{3} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

9 ones, 8 tenths, 0 hundredths, 7 thousandths

Step-by-step explanation:

Answer:

9 thousands

8 hundreds

0 tens

7 ones

Step-by-step explanation:

Hope it helped!

Answer:

80%

Step-by-step explanation:

So 2 is 2 and 1 3 and 5 are odd so it is 4/5 and as a percent it is 80%

Answer:

80%

Step-by-step explanation:

The numbers 2 or odd are 1, 2, 3, and 5.

4 numbers out of 5.

4/5 = 0.8

P(2 or odd) = 80%

Answer:

0.125

Step-by-step explanation:

Smaller Wheel

Total Number of Equal Sectors = 8

The number of Red sectors =3

The probability of obtaining red on the smaller wheel [tex]=\dfrac38[/tex]

Larger Wheel

Total Number of Equal Sectors = 12

The number of Red sectors =4

The probability of obtaining red on the larger wheel [tex]=\dfrac{4}{12}[/tex]

Assuming that the wheels are independent and each outcome is equally​ likely, the probability that we get red on both wheels

[tex]=\dfrac38 \times \dfrac{4}{12}\\\\=\dfrac18\\\\=0.125[/tex]

The probability is: 0.125

Answer:

Experiment 1 and 3 are clear binomial experiments.

Experiment 2 needs tweaking to be a binomial experiment.

Check Explanation.

Step-by-step explanation:

A binomial experiment is one in which

1) The probability of success doesn't change with every run or number of trials.

2) It usually consists of a fixed number of runs/trials with only two possible outcomes, a success or a failure.

3) The outcome of each trial/run of a binomial experiment is independent of one another.

Checking each of the experiments one at a time

- You observe the gender of the next 850 babies born at a local hospital. The random variable represents the number of boys.

For this experiment,

1) The probability of success doesn't change with every run or number of trials as it is a 50% chance that each child examined is a boy.

2) It consists of a fixed number of runs (850) with only two possible outcomes, success (if it's a boy) and failure (if it's a girl).

3) The probability of each trial being a boy is independent from all the other trials.

Hence, this experiment is a binomial experiment.

- You draw a marble 350 times from a bag with three colors of marbles. The random variable represents the color of marble that is drawn.

For this experiment,

1) If the marbles aren't being replaced after each draw, the probability of success, that is, picking a particular marble colour changes from trial to trial.

2) Although, it consist of a fixed number of runs/trials, there are more than two possible outcomes with 3 types of colours. Unless the experiment focuses on one colour and treats the other two colours as 'others', this condition too isn't satisfied.

3) Without replacement, the probability of success (picking a particular marble colour) in one trial isn't independent of the other trials.

This is not a binomial experiment as it doesn't satisfy all the required conditions to be one.

- Testing a cough suppressant using 820 people to determine if it is effective. The random variable represents the number of people who find the cough suppressant to be effective.

1) The probability of success doesn't change with every run or number of trials as it is the same chance that each person finds the cough suppressant to be effective.

2) It consists of a fixed number of runs (820) with only two possible outcomes, success (cough suppressant is effective) and failure (cough suppressant isn't effective).

3) The probability of each trial being a person that finds the cough suppressant to be effective, is independent from all the other trials.

Hence, this experiment is a binomial experiment.

Hope this Helps!!!