36 1 3 2. 13 = 20
Order of operations

Answer: 45 1/2

Step-by-step explanation:

Volume = 3 1/2 x 4 x 3 1/4

= 91/2

= 45 1/2 or 45.5

Answer:

45. 1/2 cubic inches

Step-by-step explanation:

Since volume of a cube = length x width x height, or V=Bh, we need to multiply 3 1/2, 4, and 3 1/4 together. 3.5 (3 1/2) x 4 = 14. 14 x 3.25 (3 1/4) is 45.5. This is also 45 1/2 in fraction form.

Answer: 3.8 * 10^-3 (10 to the negative third power)

Step-by-step explanation:

First, you would find the leading digit which is 3. Then, include the following digits after the decimal. The following digit is 8 so you have 3.8. After that, you count how many places the decimal point would move until it's after three. (3 places) And since the number is smaller than 1, the exponent is negative.

Answer:

Step-by-step explanation:

The area of the rectangular floor is the product of its length and width:

  A = LW = (21 ft)(9 ft) = 189 ft²

The volume of the pod is the product of that floor area and the height:

  V = Bh = (189 ft²)(7 ft) = 1323 ft³

The area of the floor is 189 ft²; the volume of the pod is 1323 ft³.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Standard form is numbers only.

Examples of standard numbers are 4, 225, or 9,002

A thousands number has 4 digits.

A hundreds number has 3 digits.

A tens number has 2 digits.

A regular number has 1 digit (itself).

Three hundred means 300.

Three hundred thousand, would be 300 times 1,000 (one thousand), or adding 3 zeros.

Two hundred is 200.

One is 1.

300 times 1,000 is 300,000.

300,000 and 200 is 300,200.

If the ones digit has a 1, then the number is 300,201.

Three hundred thousand, two hundred one written in standard form is 300,201.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Three hundred thousand, two hundred one written in standard form is 300,201.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

A thousand number has 4 digits.

A hundred number has 3 digits.

A tens number has 2 digits.

A regular number has 1 digit (itself).

Three hundred means 300.

Three hundred thousand would be 300 times 1,000 (one thousand), or adding 3 zeros.

Two hundred is 200.

One is 1.

300 times 1,000 is 300,000.

300,000 and 200 is 300,200.

If the one digit has a 1, then the number is 300,201.

Three hundred thousand, two hundred one written in standard form is 300,201.

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Answer:

Step-by-step explanation:

50

Answer: (-4, -3)

Step-by-step explanation:

The original coordinate of J is (4, -3)

Since it is reflex over y-axis, the y value remains.

For the x value, it is originally 4 units away from the y-axis positively, thus, after reflexing, it will be 4 units away from the y-axis negatively.

The new coordinate of J' is (-4, -3)

Hope this helps!! :)

Please let me know if you have any question

Answer:

i think b is answer. i think this is useful to you

Answer:

The area of P is 9 times the area of Q

Step-by-step explanation:

From P to Q

The side lengths are

6 : 2

Divide each side by 2

3:1

From length to area we square the scale factor

3^2 : 1^2

9 : 1

P to Q area is 9 to 1

The area of P is 9 times the area of Q

Answer:

We conclude that the mean amount packaged is equal to 8.17 ounces.

Step-by-step explanation:

We are given that in a particular sample of 50 packages, the mean amount dispensed is 8.171 ​ounces, with a sample standard deviation of 0.052 ounces.

Let [tex]\mu[/tex] = population mean amount packaged.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 8.17 ounces    {means that the mean amount packaged is equal to 8.17 ounces}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 8.17 ounces    {means that the mean amount packaged is different from 8.17 ounces}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

                               T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~  [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean amount dispensed = 8.171 ounces

             s = sample standard deviation = 0.052 ounces

            n = sample of packages = 50

So, the test statistics =  [tex]\frac{8.171-8.17}{\frac{0.052}{\sqrt{50} } }[/tex]  ~   [tex]t_4_9[/tex]

                                    =  0.1359  

The value of t-test statistics is 0.1359.

Also, the P-value of test-statistics is given by;

the meaning of the​ p-value is that the p-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.001 ounces away from8.17 if the null hypothesis is true.

                    P-value = P( [tex]t_4_9[/tex] > 0.136) = More than 40% {from the t-table}

Since the P-value of our test statistics is more than the level of significance of 0.01, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the mean amount packaged is equal to 8.17 ounces.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf - 4x + 19}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5(x + 3) - (9x - 4)}[/tex]

Distribute 5 through the parentheses

⇒[tex] \sf{5x + 15 - (9x - 4)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression. Also, remove the parentheses

⇒[tex] \sf{5x + 15 - 9x + 4}[/tex]

Collect like terms

⇒[tex] \sf{5x - 9x + 15 + 4}[/tex]

⇒[tex] \sf{ - 4x + 15 + 4}[/tex]

Add the numbers : 15 and 4

⇒[tex] \sf{ - 4x + 19}[/tex]

Hope I helped!

Best regards!!

Answer:

$898

Step-by-step explanation:

Easy, 546 + 352 =

898

Answer:

$440

Step-by-step explanation:

You need to find the unit rate by dividing how much he earned (88)by how many hours he worked (8) which equals $11 per hour.Then you take the unit rate (11) and multiply it by 40 which equals $440.

Answer:

9x^4 -x

Step-by-step explanation:

( -8x + 3x^4 ) - ( -7x - 6x^4 )

Distribute the minus sign

( -8x + 3x^4 ) +7x + 6x^4

Combine like terms

3x^4 + 6x^4  -8x +7x

9x^4 -x

Answer:

x + 9x^4

Step-by-step explanation:

There is some confusion here.  You likely meant by "3x 4" the power term 3x^4 and by "6x 4" the power term 6x^4.   " ^ " indicates exponentiation.

Step 1:  Eliminate the parentheses.  Simply drop them from the first term.

The first term becomes -8x + 3x^4 and the second term becomes 7x + 6x^4.

Now combine like terms:

 -8x + 3x^4

+ 7x + 6x^4

------------------

    x + 9x^4

Answer:

Step-by-step explanation:

[tex]Let \:the\:length\:be \:x\\Perimeter = 42 cm\\Width = x -7\\\\P = 2(l+b)\\\\42 = 2(x+(x-7))\\\\42 = 2(x +x-7)\\42 = 2(2x-7)\\42 = 4x -14\\Collect\:like\:terms\\\\42+14=4x\\56 = 4x\\\\Divide \:both\:sides\:of\:the\:equation\:by \:4\\\frac{56}{4} = \frac{4x}{4} \\\\14 =x\\Length = 14\\Width = x-7\\Width = 14-7\\\\Width = 7[/tex]

Answer:

U should delete the q btw

Use 5 as the value of x

Step-by-step explanation:

Answer: it’s A. -8

Step-by-step explanation: just took the test on edge

Answer:

the probability that the rack ends up in alphabetical order is 0.0001984

Step-by-step explanation:

Given that:

You own 24 CDs. You want to randomly arrange 7 of them in a CD rack.

Th probability that the rack ends up in alphabetical order can be determined by taking note of the permutations and combinations.

From above; all possible permutations of size 7 we can derive from 24 is

24P7

Similarly,we are meant  to estimate  all the possible ways a unique set of 7 things can be gotten from a total of 24

i.e

24 C7

∴

The probability = [tex]\dfrac{^{24}{C}_7}{^{24}{P}_7}[/tex]

= [tex]\dfrac{\dfrac{24!}{7!(24-7)!} }{ \dfrac{24!}{(24-7)!} }[/tex]

=[tex]\dfrac{\dfrac{24!}{7!(17)!} }{ \dfrac{24!}{(17)!} }[/tex]

= [tex]\dfrac{346104}{ 1.74436416 \times 10^9}[/tex]

= 0.0001984

the probability that the rack ends up in alphabetical order is 0.0001984

The probability that the rack ends up in alphabetical order is 0.0001984

The total number of CD is given as:

[tex]\mathbf{n = 24}[/tex]

The number of CDs to select is given as:

[tex]\mathbf{r = 7}[/tex]

The number of arrangement of 7CDs in 24 is represented as 24P7

So, we have:

[tex]\mathbf{^{24}P_7 = \frac{24!}{(24 - 7)!}}[/tex]

[tex]\mathbf{^{24}P_7 = \frac{24!}{17!}}[/tex]

Simplify

[tex]\mathbf{^{24}P_7 =1744364160}[/tex]

The number of selecting 7 CDs from 24 is represented as 24C7

So, we have:

[tex]\mathbf{^{24}C_7 = \frac{24!}{(24 - 7)!7!}}[/tex]

[tex]\mathbf{^{24}C_7 = \frac{24!}{17!!7}}[/tex]

Simplify

[tex]\mathbf{^{24}C_7 =346104}[/tex]

So, the probability is:

[tex]\mathbf{Pr = \frac{346104}{1744364160}}[/tex]

Divide

[tex]\mathbf{Pr = 0.0001984}[/tex]

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Answer:

17

Step-by-step explanation:

(60b divided by 5) + c

(60(1/2) divided by 5) + 11

(30 divided by 5) + 11

6 + 11

17

Answer:

?=9

Step-by-step explanation:

We have a special right triangle, the 45-45-90 triangle.

In a 45-45-90 triangle, the side lengths are x, and the hypotenuse is x√2.

Since we know that the side length is 9, this means that:

[tex]x=9\\\text{Hypotenuse}=x\sqrt2\\\text{Hypotenuse}=9\sqrt2[/tex]

The ? is 9.

Answer: 9

Step-by-step explanation:

Options :

a mean - 40, median - 50, mode - 60

b. mean-60, median - 50, mode - 40

c. mean - 40, median-60, mode - 50

d. mean - 50, median - 50, mode - 50

Answer: mean - 40, median - 50, mode - 60

Step-by-step explanation: A negatively skewed distribution is characterized by it long tail being positioned to the left(negative direction) with its peak positioned to the right (positive direction) of the distribution. On a general note, the mean is always positioned towards the left or negative side if the peak, with the median coming next and usually positioned to the right of the mean and the mode positioned to the right side of the median.

Hence, for a negatively skewed distribution, the mean has the least value followed by the median, with the mode boasting the highest.

That is : mean < median < mode

Answer:

[tex]\Huge \boxed{\mathrm{60 \ cm^2 }}[/tex]

Step-by-step explanation:

Area of a rectangle is length × width.

The length of the rectangle is 10 cm.

The width of the rectangle is 6 cm.

[tex]\Rightarrow 10 \cdot 6 \\\\\\ \Rightarrow 60[/tex]

The area of the rectangle is 60 cm².

Answer:

60cm is the answer

Step-by-step explanation:

Area of a rectangle is length × width.

so..... The length of the rectangle is 10 cm.

And the width of the rectangle is 6 cm.

so... 10x6=60 cm

Answer:

30r-18

Step-by-step explanation:

6*5=30

6*3=18

Answer:

30r-18

Step-by-step explanation:

Answer:

- 14, - 7 or 7, 14

Step-by-step explanation:

Let the the two integers be x and (x + 7)

[tex] \therefore \: x(x + 7) = 98 \\ {x}^{2} + 7x - 98 = 0 \\ {x}^{2} + 14x - 7x - 98 = 0 \\ x(x + 14) - 7(x + 14) = 0 \\ (x + 14)(x - 7) = 0 \\ (x + 14) = 0 \: or \: (x - 7) = 0 \\ x = - 14 \: or \: x = 7 \\ \\ when \: x = - 14 \\ x + 7 = - 14 + 7 = - 7 \\ \\ when \: x = 7 \\ x + 7 = 7 + 7 = 14 \\ [/tex]

Hence the required integers are - 14, - 7 or 7, 14

Answer:

34416

Step-by-step explanation:

.72(percentage) × 47800(people)

34416

Answer:

[tex] x = \pm \sqrt{19} [/tex]

[tex] x = \pm 4.36 [/tex]

Step-by-step explanation:

[tex] x^2 = 19 [/tex]

[tex] x = \pm \sqrt{19} [/tex]

[tex] x = \pm 4.36 [/tex]

The exact solution is 4.36.

Squares are the numbers, generated after multiplying a value by itself. Whereas square root of a number is value which on getting multiplied by itself gives the original value. Hence, both are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2.

Given:

x² = 19

On taking root on both side

√x² = √19

x= √19

x = 4.3588

Hence, the exact solution and its approximation rounded to two decimal places is 4.36.

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Answer:

1)77              2)90

Step-by-step explanation:

1)take 11 common

therefore, 11(3.5+1.9+1.6)

               =11(7)

               =77                         (multiply 11 with 7)

2)First solve the numbers in bracket

20 +( 3×11 )+ 5 +( 2×16)

=20+33+5+32

=90

Answer:

Step-by-step explanation:

Let us consider a data of prevalent diseases.

If the false positive rate is P(Test + | N) = 0.04

Therefore, sensitivity is defined as the probability of a positive test result given the presence of the disease. This can be written as: P (positive test | disease present).

Specificity is defined as the probability of a negative test result given absence of disease, that is, P (negativetest | diseaseabsent). PPV is defined as the probability of the presence of disease given a positive test result, ie, P (disease present | positivetest).

Answer:

32100

Step-by-step explanation:

hope this helps

sorry if its wrong

Answer:

7.77%(m/m) ; 92.22%(m/m)

Step-by-step explanation:

Given that:

17.5 grams of sugar in 225 grams of an aqueous sugar solution

Percentage by mass of A in a solution (mass percent) = (mass of A / total mass of solution) × 100

Hence,

Percentage by mass of sugar:

= (mass of sugar / total mass of solution) * 100

= (17.5 / 225) × 100

= 0.0777777 × 100 = 7.77%(m/m)

Mass of water(solvent) = (225 - 17.5)g = 207.5g

= (207.5 / 225) × 100

= 0.922222 × 100 = 92.22%(m/m)

Answer:

they gave 18 donuts to the school.

Answer:

2 dozen= 24 + 6 = 30 donut.