Write the phrase as an expression.

28 divided by 7

An expression is

Just to let you guys know the answer is not 28/2 because someone already got it wrong.

Answer:

58.0

Step-by-step explanation:

Given the data:

56 65 62 53 68 58 65 52 56

Reorderd data: 52, 53, 56, 56, 58, 62, 65, 65, 68

Median = 1/2(n + 1) th term

n = sample size = 9

Hence,

Median = 1/2(9 + 1)th term

Median = 1/2(10)th term

Median = 5th term

5th term in the reordered data = 58

Hence, median age is 58

Answer:

0.1 (153+10h)

Step-by-step explanation:

factor out 0.1 of 15.3 +10h

Answer:

15.3+1h=1.3−1h

15.3-1.3=-1h-1h

14=-2h

h=14/-2=-7

Answer: 0,16,32,48,64

Step-by-step explanation: the equation 16b means you will multiple 16 by whatever is in the b box. For the first b is equal to 0 so 16x0 = 0, the second b is equal to 1 so 16x1 = 16

Answer:

easy...

132.75total cost

4.75 for each book  

Step-by-step explanation:

not a) it would be far to large

not b) again to large

maybe c) not to big but still small

not d) to big yet again

id assume c? im not to smart tho

Answer: 9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3 x 3 = 9 :)

Answer:*

*Can

Step-by-step explanation:

Answer:

y=1.3x-3

or

y=4/3x-3

Step-by-step explanation:

1.3 is the slope (the change in between points)

-3 is the y intercept (the point on the y-axis)

Answer:

d. 0.0047

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

We have that [tex]\mu = 7.7, \sigma = 0.2[/tex]

Sample of 3:

[tex]n = 3, s = \frac{0.2}{\sqrt{3}} = 0.1155[/tex]

Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?

This is 1 subtracted by the pvalue of Z when X = 8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8 - 7.7}{0.1155}[/tex]

[tex]Z = 2.6[/tex]

[tex]Z = 2.6[/tex] has a pvalue of 0.9953

1 - 0.9953 = 0.0047

The probability is given by option d.

You can calculate the z score for the specified sample and then use the z tables to find the p value(probability) needed.

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

Suppose that the sample is of size 'n', then we have the z score(we are converting random variable X to standard random variable Z) as:

[tex]Z = \dfrac{X - \overline{x}}{s} = \dfrac{X - \mu}{\sigma/\sqrt{n}}[/tex]

where [tex]\overline{x}[/tex] is mean of the sample

s is the standard deviation of the sample,

and we used the central limit theorem which says that a sample from a normally distributed population with [tex]mean = \mu[/tex] and standard deviation = [tex]\sigma[/tex] can have its mean approximated by population mean and its standard deviation approximated by [tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

Let the weight of the the olives for the given crop of olives of a particular company for taken random sample is given by X (a random variable)

Then, we have:

[tex]X \sim N(7.7, 0.2)[/tex]

where

[tex]\mu = 7.7, \sigma = 0.2[/tex]

Thus, we have:

[tex]\overline{x} = \mu, s = \sigma/\sqrt{n} = 0.2/\sqrt{3}[/tex]

Using the given facts, we get the needed probability as:

[tex]P( X> 8)[/tex] sample size n  = 3)

Then, using the z score, we get):

[tex]P(X > 8) = 1 - P(X \leq 8) = 1 - P(Z \leq \dfrac{8 - 7.7}{0.2/\sqrt{3}})\\\\P(X > 8)=1- P(Z \leq \dfrac{0.3\sqrt{3}}{0.2}) = 1- P(Z \leq 1.5 \times \sqrt{3} )\\\\P(X > 8) = 1 - P(Z \leq 2.59) = 1- 0.9952 \approx 0.0047[/tex]

Thus,

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

Learn more about standard normal distribution here:

https://brainly.com/question/14989264

Answer:

answer is 6

Step-by-step explanation:

i know answer is 2 weeks late

the answer is three i think

x = 3 because the only equation to get five would be 3. 2 plus 3 is 5. 3 plus 2 is also five. So three is the answer.

tile model

X  1 1 1 = 1 1 1 1 1

X = 3

Answer:

for the first one x = 4

for the second one x = -8

Step-by-step explanation:

x − 7 + 7= −3 + 7 so x = 4

x + 3 − 3= −5 − 3 so x = -8

Answer:

0.475

Step-by-step explanation:

Given that :

We are to calculate the true positive :

True POSITIVE (TP) = 70% = 0.7

False POSITIVE (CP = 30% = 0.3

True Negative = 30% = 0.3

Number arrested = 4

(1/n * TP) / [(1/n * TP) + (n-1 /n * FP)

= (1/4 * 0.7) / [(1/4 * 0.7) + (3/4 * 0.3)

= 0.175 / (0.175 + 0.225)

= 0.175 / 0.4

= 0.475

Answer:

11.725%

Step-by-step explanation:

Given that :

True value = 0.904 seconds

Measured time = 1.010 seconds

Experimental error :

(|measured value - True value | / true value) * 100%

(|1.010 - 0.904| ÷ 0.904) * 100%

= 0.106 / 0.904 * 100%

= 0.1172566 * 100%

= 11.725%

Answer:

11.725%

Step-by-step explanation:

Answer:

add 4 and 2

because you always have to simplify numbers that are inside the parentheses.

Answer:

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 40

Given that standard deviation of the Population = 15

Let 'x' be the random variable in normal distribution

Let 'X' = 25

[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]

Let 'X' = 55

[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]

Step(ii):-

The probability that between 25 and 55

P( 25 ≤ X≤ 55) = P( -1≤z≤1)

                       = A(1) - A(-1)

                      = A(1) + A(1)

                     = 2 × A(1)

                    = 2× 0.3413

                   = 0.6826

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Final answer:-

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Answer:

46 ft to yd conversion. A foot is a unit of length equal to exactly 12 inches or 0.3048 meters.

...

Convert 46 Feet to Yards.

ft yd

46.00 15.333

46.01 15.337

46.02 15.34

46.03 15.343

ft yd

46.00 15.333

46.01 15.337

46.02 15.34

46.03 15.343

46.04 15.347

46.05 15.35

46.06 15.353

46.07 15.357

46.08 15.36

46.09 15.363

46.10 15.367

46.11 15.37

46.12 15.373

46.13 15.377

46.14 15.38

46.15 15.383

46.16 15.387

46.17 15.39

46.18 15.393

46.19 15.397

46.20 15.4

46.21 15.403

46.22 15.407

46.23 15.41

46.24 15.413

ft yd

46.25 15.417

46.26 15.42

46.27 15.423

46.28 15.427

46.29 15.43

46.30 15.433

46.31 15.437

46.32 15.44

46.33 15.443

46.34 15.447

46.35 15.45

46.36 15.453

46.37 15.457

46.38 15.46

46.39 15.463

46.40 15.467

46.41 15.47

46.42 15.473

46.43 15.477

46.44 15.48

46.45 15.483

46.46 15.487

46.47 15.49

46.48 15.493

46.49 15.497

ft yd

46.50 15.5

46.51 15.503

46.52 15.507

46.53 15.51

46.54 15.513

46.55 15.517

46.56 15.52

46.57 15.523

46.58 15.527

46.59 15.53

46.60 15.533

46.61 15.537

46.62 15.54

46.63 15.543

46.64 15.547

46.65 15.55

46.66 15.553

46.67 15.557

46.68 15.56

46.69 15.563

46.70 15.567

46.71 15.57

46.72 15.573

46.73 15.577

46.74 15.58

ft yd

46.75 15.583

46.76 15.587

46.77 15.59

46.78 15.593

46.79 15.597

46.80 15.6

46.81 15.603

46.82 15.607

46.83 15.61

46.84 15.613

46.85 15.617

46.86 15.62

46.87 15.623

46.88 15.627

46.89 15.63

46.90 15.633

46.91 15.637

46.92 15.64

46.93 15.643

46.94 15.647

46.95 15.65

46.96 15.653

46.97 15.657

46.98 15.66

46.99 15.663

Step-by-step explanation:

Hope this helps <3

Answer:

Convert Equation 1 to slope-intercept form.

y

=

−

x

+

4

The two equations have the same slope,  

m

=

−

1

, therefore they are perpendicular and there is no solution to this linear system. The two lines have no points in common.

graph{(x+y-1)(x+y-4)=0 [-10, 10, -5, 5]}

Step-by-step explanation:

Answer:

[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]

[tex]Cost = \$1.05[/tex]

Step-by-step explanation:

Given

[tex]Volume = 100in^3[/tex]

[tex]Cost =\$0.014[/tex] -- Top and Bottom

[tex]Cost =\$0.007[/tex] --- Sides

Required

What dimension of the cylinder minimizes the cost

The volume (V) of a cylinder is:

[tex]V = \pi r^2h[/tex]

Substitute 100 for V

[tex]100 = \pi r^2h[/tex]

Make h the subject

[tex]h = \frac{100 }{\pi r^2}[/tex]

The surface area (A) of a cylinder is:

[tex]A = 2\pi r^2 + 2\pi rh[/tex]

Where

[tex]Top\ and\ bottom = 2\pi r^2[/tex]

[tex]Sides = 2\pi rh[/tex]

So, the cost of the surface area is:

[tex]C = 2\pi r^2 * 0.014+ 2\pi rh * 0.007[/tex]

[tex]C = 2\pi r(r * 0.014+ h * 0.007)[/tex]

[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]

Substitute [tex]h = \frac{100 }{\pi r^2}[/tex]

[tex]C = 2\pi r(0.014r+ 0.007*\frac{100 }{\pi r^2})[/tex]

[tex]C = 2\pi r(0.014r+ \frac{0.007*100 }{\pi r^2})[/tex]

[tex]C = 2\pi r(0.014r+ \frac{0.7}{\pi r^2})[/tex]

[tex]C = 2\pi (0.014r^2+ \frac{0.7}{\pi r})[/tex]

Open bracket

[tex]C = 2\pi *0.014r^2+ 2\pi *\frac{0.7}{\pi r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{2\pi *0.7}{\pi r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{2 *0.7}{r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{1.4}{r}[/tex]

[tex]C = 0.028\pi r^2+ \frac{1.4}{r}[/tex]

To minimize, we differentiate C w.r.t r and set the result to 0

[tex]C' = 0.056\pi r - \frac{1.4}{r^2}[/tex]

Set to 0

[tex]0 = 0.056\pi r - \frac{1.4}{r^2}[/tex]

Collect Like Terms

[tex]0.056\pi r = \frac{1.4}{r^2}[/tex]

Cross Multiply

[tex]0.056\pi r *r^2= 1.4[/tex]

[tex]0.056\pi r^3= 1.4[/tex]

Make [tex]r^3[/tex] the subject

[tex]r^3= \frac{1.4}{0.056\pi }[/tex]

[tex]r^3= \frac{1.4}{0.056 * 3.14}[/tex]

[tex]r^3= \frac{1.4}{0.17584}[/tex]

[tex]r^3= 7.96178343949[/tex]

Take cube roots of both sides

[tex]r= \sqrt[3]{7.96178343949}[/tex]

[tex]r= 1.997[/tex]

Recall that:

[tex]h = \frac{100 }{\pi r^2}[/tex]

[tex]h = \frac{100 }{3.14 * 1.997^2}[/tex]

[tex]h = \frac{100 }{12.52}[/tex]

[tex]h = 7.987[/tex]

Hence, the dimensions that minimizes the cost are:

[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]

To calculate the cost, we have:

[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]

[tex]C = 2* 3.14 * 1.997 * (0.014*1.997+ 0.007*7.987)[/tex]

[tex]Cost = \$1.05[/tex]

Answer:

The complex solutions are

[tex]x = (\frac{7-\sqrt{35} i }{42} , ) x = \frac{7 + \sqrt{35} i }{42})[/tex]

Step-by-step explanation:

Step(i):-

Given equation  7 x² - 7 x +3=0

                     [tex]x = (\frac{-b -\sqrt{b^{2}-4ac } }{2ac} , \frac{-b +\sqrt{b^{2}-4ac } }{2ac})[/tex]

Given standard equation

                         a x² +b x +c =0

 a = 7 , b= -7 and c=3

Step(ii):-

[tex]x = (\frac{-(-7) -\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)} , \frac{-(-7) +\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)})[/tex]

[tex]x = (\frac{7-\sqrt{(49-84 } }{42} , \frac{7 +\sqrt{(49-84 } }{42})[/tex]

[tex]x = (\frac{7-\sqrt{35i^{2} } }{42} , \frac{7 + \sqrt{35i^{2} } }{42})[/tex]

[tex]x = (\frac{7-\sqrt{35} i }{42} , \frac{7 + \sqrt{35} i }{42})[/tex]

Answer:

The answer is "8(25+x)>500;x>37.50".

Step-by-step explanation:

Please find the complete question in the attached file.

 [tex]\to 8(25+x)>500\\\\\to 200 +8x>500\\\\\to 8x> 300\\\\\to x> \frac{300}{8}\\\\\to x> 37.50[/tex]

That's why above given choice is correct.

Answer:

positive

Step-by-step explanation:

Answer:

Answer: Positive

Step-by-step explanation:

Answer:

y = 1.705882353

Step-by-step explanation:Combine like terms: 20 + 9 = 29

29 + -10y + -7y = 0

Combine like terms: -10y + -7y = -17y

29 + -17y = 0

Solving

29 + -17y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-29' to each side of the equation.

29 + -29 + -17y = 0 + -29

Combine like terms: 29 + -29 = 0

0 + -17y = 0 + -29

-17y = 0 + -29

Combine like terms: 0 + -29 = -29

-17y = -29

Divide each side by '-17'.

y = 1.705882353

Simplifying

y = 1.705882353

Answer:

It will read the same at F = -40.

Step-by-step explanation:

The relation between fahrenheit and celsius is given by the following equation:

[tex]C = \frac{5(F-32)}{9}[/tex]

At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?

This is F for C = F. So

[tex]C = \frac{5(F-32)}{9}[/tex]

[tex]F = \frac{5(F-32)}{9}[/tex]

[tex]9F = 5F - 160[/tex]

[tex]4F = -160[/tex]

[tex]F = -\frac{160}{4}[/tex]

[tex]F = -40[/tex]

It will read the same at F = -40.

Answer:

2x-10=x+80

2x-x=80+10

X=90

3y-4=y+20

3y-y=20+4

2y=24

Y=24/2

Y=12

Im not sure man, but i hope it helps, good luck :)

Answer:

Step-by-step explanation:

Part A:

Add all the mass together so 1,105.5 grams

Answer:

Step-by-step explanation:

Building scale is 1cm=5feet

This means 1 cm is equivalent to 5 feet

If 1 cm is equals to 5 feet and the owner wants a 25% increase in dimension, this means;

25/100 =0.25.

0.25 x the actual dimension

0.25 x 5 = 1.25

1.25 + actual dimension

1.25 + 5 = 6.25.

This means the scale of the room will be on 1cm =6.25feet.

If the length of the room is A, the width is B;

The new length will then be 1.25 x A =1.25A

1.25A + A

The length of the new room is 1.25A +A

While the width of the new room is 1.25B +B

Answer:

(x,y) -> (x - 4. y - 2)

Given:

The area of the rectangle RSTU = [tex]36x^2+25x-25[/tex]

Length of the rectangle RSTU = [tex]4x+5[/tex]

To find:

The width of the rectangle RSTU.

Step-by-step explanation:

We have,

[tex]36x^2+25x-25[/tex]

Splitting the middle term, we get

[tex]=36x^2+45x-20x-25[/tex]

[tex]=9x(4x+5)-5(4x+5)[/tex]

[tex]=(4x+5)(9x-5)[/tex]

We know that, the area of a rectangle is

[tex]Area=Length \times width[/tex]

Area of rectangle is product of (4x+5) and (9x-5).

Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.

Answer:

28 and 32 or B And C

Step-by-step explanation: