Which phrase could be best represented by the algebraic expression

Answer:456.63

Step-by-step explanation:

The weight (in grams) of a liquid is 456.63 grams.

Weight is a quantity representing the force exerted on a particle or object by an acceleration field, particularly the gravitational field of the Earth at the surface.

V = Volume of liquid = 182.8 milliliter

[tex]\rho[/tex] = Density of liquid = 0.135 grams over milliliter

We know that,'

mass= volume x density

        = 465 x 0.982

      = 456.63 grams

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Answer:

The equation is 39.4 - 26.8

The solution is: 12.6 inches.

Step-by-step explanation:

To find the difference in average precipitation between Albany and Berkeley, we subtract the average annual precipitation in each city.

We have that:

Albany: 39.4 inches

Berkeley: 26.8 inches.

So the equation is:

39.4 - 26.8

And the solution is:

39.4 - 26.8 = 12.6 inches.

Answer: Approximately 0.667

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Explanation:

Here are all the possible outcomes to roll on the number cube: {1,2,3,4,5,6}

Here are the outcomes which are greater than two:  {3,4,5,6}

There are 4 outcomes we want (rolling a 3 through 6) out of 6 outcomes total, so we end up with the probability 4/6 = 0.667 which is approximate

In reality, the 6's go on forever in the decimal value, but we can't write the number forever. Round that value in bold however you need to or however your teacher instructs.

Answer:

[tex]\angle 2 = 48[/tex]

Step-by-step explanation:

Given

[tex]\angle 1 = 48[/tex]

Required

Find [tex]\angle 2[/tex]

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertically opposite angles.

So:

[tex]\angle 2 = \angle 1[/tex]

Substitute [tex]\angle 1 = 48[/tex]

[tex]\angle 2 = 48[/tex]

Answer: A

Step-by-step explanation:

Answer:

9.85

that is 9.8

Step-by-step explanation:

16sin38=x

x= 9.85

Answer:

The p-value of the test is of 0.3219 > 0.05, which means that at [tex]\alpha = 0.05[/tex], the average age is not higher than originally believed.

Step-by-step explanation:

A recent study in a small city stated that the average age of robbery victims was 63.5 years. Test if the average age higher than originally believed.

At the null hypothesis, we test that the mean is the believed mean age of 63.5 years, that is:

[tex]H_0: \mu = 63.5[/tex]

At the alternate hypothesis, we test if this mean is higher, that is:

[tex]H_1: \mu > 63.5[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

63.5 is tested at the null hypothesis:

This means that [tex]\mu = 63.5[/tex]

A random sample of 20 recent victims had a mean of 63.7 years and a standard deviation of 1.9 years.

This means that [tex]n = 20, X = 63.7, s = 1.9[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{63.7 - 63.5}{\frac{1.9}{\sqrt{20}}}[/tex]

[tex]t = 0.47[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 63.7, which is a right-tailed test, with t = 0.47 and 20 - 1 = 19 degrees of freedom.

With the help of a calculator, this probability is of 0.3219.

The p-value of the test is of 0.3219 > 0.05, which means that at [tex]\alpha = 0.05[/tex], the average age is not higher than originally believed.

9514 1404 393

Answer:

  153.6 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh . . . . . . where B is the area of the base, and h is the height

The area of the triangular base is given by the formula ...

  A = 1/2bh . . . . where b and h are the base and height of the triangle

For a right triangle, the lengths of the legs can be used for the base and height.

The base area is ...

  A = (1/2)(6 mm)(8 mm) = 24 mm²

Then the volume is ...

  V = (24 mm²)(6.4 mm) = 153.6 mm³

Answer:

Standard Error is increased.

Step-by-step explanation:

Type 2 error is failure to reject a false null hypothesis. This is a 'false negative' result of hypothesis testing, represented by beta 'β'.

Power of test is 1 - β, which shows probability of accurately stating  a null hypothesis false, when it is actually false.

Increased sample size increases the power of test accuracy, hence reduces type 2 error. Increased level of significance implies higher probability of rejecting a true null hypothesis, ie type 1 (false positive) error. So, it decreases type 2 error.

Standard Error increase implies lower level of t statistic , ie = (x - u) / (s / √ n) Lower the t value, higher is the probability of not rejecting null hypothesis, which implies higher chance of type 2 error.

Type II error is 1 - power of the test. The factor that can alone make the type II error to increase is: Option C: The standard error is increased.

Firstly the whole story starts from hypotheses. The null hypothesis is tried to reject and we try to accept the alternate hypothesis.

The probability of committing the type I error is called the significance level of the hypothesis test.

And the more we increase the level of significance, the less area the test statistic gets to fall in, and its chances of falling in region outside level of significance increases, which makes us to reject the null hypothesis more probable, thus, decreasing its chance of tagging as negative, not mattering if true or false.
Thus, increasing level of significance increases the type I error but decreases the type II error.

If it is increases, the likely area for test statistic falling increases, thus, increasing probability of tagging the null hypothesis tagging to be true, so increasing result of test being declared negative, thus, increasing type II error.

Increasing sample size increases statistical power, thus, decreasing the type II error.

Thus, for the given case, as the sampling size is increased, the type II error will decrease, as the significance level is increased, the type II error will decrease, and as the standard error is increased, the type II error will increase with it.

Thus, out of the given factors, only the last factor (increasing the standard error) makes the type II error to get increased.

Thus, the factor that can alone make the type II error to increase is: Option C: The standard error is increased.

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Answer:

[0] real zeros

Step-by-step explanation:

You can use the discriminant of the quadratic formula which is b² – 4ac to determine the # of real zeros by knowing that:

Taking into account the definition of zeros of a function, the function has no real roots and its graph does not intersect the x-axis.

The function f(x) = ax²  + bx + c

with a, b, c real numbers and a ≠ 0, is a function  quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

In summary, the roots or zeros of the quadratic function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

The following expression is called discriminant:

Δ= b²- 4×a×c

The discriminant determines the amount of  roots of the function. Then:

In this case, the function is f(x) = 3x²  + 5x + 17, where:

Replacing in the definition of discriminant:

Δ= 5²- 4×3×17

and solving you get:

Δ= 25- 204

Δ= -179

Since Δ< 0, the function has no real roots and its graph does not intersect the x-axis.

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Answer:

sqr3 sin x/2

+ cos x = 1 if 0º< < 360°.  

Step-by-step explanation:

I think that it might be the third one. I hope this helped

Answer:

Hence, the margin error is [tex]1415.62189[/tex] and the confidence interval for the mean is [tex](41234.38,44065.62)[/tex].

Step-by-step explanation:

Given :

Sample size [tex]n=135[/tex]

Sample mean [tex]\bar{x}=\$42,650[/tex]

Standard deviation [tex]\sigma =\$8,988[/tex]

Confidence level is [tex]93\%[/tex]

(a)  

The margin error [tex]=Z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n}}[/tex]

 [tex]\because \alpha =1-[/tex]confidence level

     [tex]\Rightarrow \alpha=1-93\%=1-0.93[/tex]

     [tex]\Rightarrow \alpha=0.07\Rightarrow \frac{\alpha}{2}=0.035[/tex]

   [tex]Z_{\frac{\alpha}{2}}=Z_{0.035}=1.83[/tex] from the [tex]z-[/tex]table

Now, the margin error[tex]=1.83\times \frac{8988}{\sqrt{135}}[/tex]

   [tex]=1415.62189[/tex]

(b)

The confidence interval for the mean [tex]\mu\\[/tex] :

    [tex](\bar{x}-\text{margin error},\bar{x}+\text{margin error})[/tex]

[tex]\Rightarrow (\bar{x}-1415.62189,\bar{x}+1415.62189)[/tex]

[tex]\Rightarrow (42650-1415.62189,42650+1415.62189)\\\Rightarrow (41234.38,44065.62)[/tex]

Answer: 11

Step-by-step explanation:

[tex]48=4x+4[/tex] (angles opposite congruent sides in a triangle are congruent)

This gives that x = 11

Answer:

47. C. 30

48. D. 50

49. A. 10

50. A. 10

Step-by-step explanation:

47. The point in the middle of the box is the median, 30

48. The range is the last dot - the first dot outside of the box, 50 - 0 = 50

49. The interquartile range is the range inside the box, the first dot in the box is between 20 and 30, 25. The last dot in the box is between 30 and 40, 35.

35 - 25 = 10

50. Test A's median is 30, Test B's median is 40. 40 - 30 = 10

Hope this helps ^^

Answer:

there 18 girls

Step-by-step explanation:

40% of 30 = 12

this means there are 12 boys

30-12 = 18

there 18 girls

Answer:

B

Step-by-step explanation:

It tells you

Answer:

Step-by-step explanation:

it is answer b

Answer:

Ananya's total score was 50 marks.

Step-by-step explanation:

Given that in an examination a candidate scored 5 marks for a correct answer, -2 for an incorrect answer and 0 marks for a question that has not been attempted, and the examination comprises 20 questions, and Ananya has answered 12 correct answer and 5 incorrect answers, to find her total score the following calculation must be performed:

(12 x 5) + ((20 -12 - 5) x 0) + (5 x -2) = X

60 + (3 x 0) + (-10) = X

60 + 0 - 10 = X

50 = X

Therefore, Ananya's total score was 50 marks.

Answer:

4

Step-by-step explanation:

33÷7

Answer:

18 nickels, 9 dimes, and 6 quarters.

Step-by-step explanation:

Answer:

18 nickels, 9 dimes, and 6 quarters

Step-by-step explanation:

Answer:

98.1 square units

Step-by-step explanation:

know you need it quick

Answer:

E. 3×3×3×3

part b:

3×3×3×3

9×9

81

Answer:

346.50

Step-by-step explanation:

550 discounted by 30% is 385.00.

385.00 discounted by 10% is 346.50

Answer:

8

Step-by-step explanation:

sin Θ = opp / hyp

Θ = 60

opp = 4

hyp = x

sin 60 = 4 / x                 sin 60 = 0.5     or 1/2

  1/2   = 4 / x

  x/2  =  4

    x   =  8

Answer:

-3≥x

Step-by-step explanation:

5x-1-3x≥4x+5

Combine like terms

2x-1≥4x+5

Subtract 2x from each side

2x-1-2x≥4x+5-2x

-1≥2x+5

Subtract 5 from each side

-1-5≥2x+5-5

-6≥2x

Divide by 2

-6/2≥2x/2

-3≥x

Answer:

See Image below for the steps:)

Step-by-step explanation: