68 times a number minus 45 is equal to −98 less than the number.

Answer:

Step-by-step explanation:

so  for every 3 Reid washes there are 4 Elsie washes

the ratio of washing is 3:4

lets add 3 and 4 up

3 + 4 = 7

now lets divide the total number of washes by the added ratio

84/ 7

=12

now we know that 1 part is 12

to find Elsie's part we need to x 12 by how many parts she has got

she washed 4 times

4 x 12

=48

Given info:- What number should [(-5/3)³]^-3 be multiply obtain (-3/5)⁴ ?

Explanation:-

Given number = [(-5/3)³]^-3

Let the required number be X

On multiplying [(-5/3)³]^-3 with X

⇛ [(-5/3)³]^-3 × X

According to the given problem

The result = (-3/5)⁴

⇛ [(-5/3)³]^-3 × X = (-3/5)⁴

⇛ (-5/3)^(3×-3) × X = (-3/5)⁴

Since (a^m)^n = a^mn

⇛ (-5/3)^-9 ×X = (-3/5)⁴

⇛(-3/5)⁹ ×X = (-3/5)⁴

Since a^-n = 1/a^n

⇛X = (-3/5)⁴/(-3/5)⁹

⇛X = (-3/5)^(4-9)

Since a^m / a^n = a^(m-n)

⇛ X = (-3/5)^-5

⇛ X = (-5/3)⁵

Since a^-n = 1/a^n

Therefore, X = (-5/3)⁵

The required number for the given problem is (-5/3)⁵.

Answer:

It’s G. 330 m^2

Step-by-step explanation:

The formula for a trapezoid is (a+b)/2 times h.

So a is base one and b is base two and the h is the height.

So it would be like (19+41)/2 X 11 then you would get

60/2 X 11

30 X 11 equals 330

Answer:ABC(Done for you)
ACB
BAC
BCA
CAB
CBA

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

divide 9 by 3 the answer is 3 then divide 12 by 3 then the answer is 4

Answer:

4 spells can be bought with $12.00

Step-by-step explanation:

3 times 3 is 9 = 3 spells for nine dollars

3 times 4 is 12 = 4 spells for 12 dollars

Each spell costs $3.00

Answer:

According to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

What is the right angle triangle property?

In a right-angle triangle ratio of the opposite side to the adjacent side is equal to the tangent angle between the adjacent side and the hypotenuse side.

Here, (b) is the opposite side, (a) is the adjacent side, and is the angle made between the adjacent side and the hypotenuse side.

The sides of the triangle are 8, 15, and 17 units long and the measure of the angles of the right angle triangle is 62, 90, and 28 degrees.

Re-draw, the  Here in the given triangle, the base is the side which is 15 units long. Re-draw the triangle as shown below.

In the attached triangle below, the opposite side of the triangle is 15 units and the adjacent side of the triangle is 8 units long.

The angle between the opposite side and the adjacent side is 62 degrees. Thus using the right angle triangle property as,

Thus, according to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

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Answer:

$3.92.

Step-by-step explanation:

To calculate the total cost of nails with tax, we need to calculate the cost of each type of nail and then add them together, including the tax.

Let's calculate the cost for each type of nail:

Small nails:

Weight = 1.5 pounds

Price per pound = $0.59

Cost of small nails = Weight × Price per pound = 1.5 × $0.59 = $0.885

Medium nails:

Weight = 1.5 pounds

Price per pound = $0.69

Cost of medium nails = Weight × Price per pound = 1.5 × $0.69 = $1.035

Large nails:

Weight = 2 pounds

Price per pound = $0.89

Cost of large nails = Weight × Price per pound = 2 × $0.89 = $1.78

Now, let's calculate the subtotal before tax by adding up the costs of the nails:

Subtotal = Cost of small nails + Cost of medium nails + Cost of large nails

Subtotal = $0.885 + $1.035 + $1.78 = $3.7

To calculate the tax, we need to find 6% of the subtotal:

Tax = 6% of Subtotal = 0.06 × $3.7 = $0.222

Finally, we can calculate the total cost by adding the subtotal and the tax:

Total cost = Subtotal + Tax = $3.7 + $0.222 = $3.922

Therefore, the approximate total cost the customer pays for the nails with tax is approximately $3.92.

Hope this helps ^^

Step-by-step explanation:

No. Of Batches of muffins = 5

Each batch = 2/3 Bag walnuts

Bags of Walnut he uses = 5 * 2/3

= 10/3 bags or 3 1/3 bags

P.S I wonder if he's making Milo Walnut muffins yum :')

\(\textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\)

\(\cfrac{sin(B)}{\overline{AC}}=\cfrac{sin(C)}{\overline{AB}}\implies \cfrac{sin(38^o)}{9}=\cfrac{sin(C)}{11}\implies \cfrac{11\cdot sin(38^o)}{9}=sin(C) \\\\\\ sin^{-1}\left[ \cfrac{11\cdot sin(38^o)}{9} \right]=sin^{-1}\left[ sin(C) \right]\implies sin^{-1}\left[ \cfrac{11\cdot sin(38^o)}{9} \right]=\measuredangle C \\\\\\ 48.81^o\approx \measuredangle C~\hspace{10em} therefore\qquad 180-38 - 48.81 ~~\approx ~~\stackrel{\measuredangle A}{93.19^o}\)

Make sure your calculator is in Degree mode.

Answer:

190

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  588 square units

Step-by-step explanation:

You can get the same answer a couple of ways.

1. Enlarge each of the dimensions by a factor of 3.5, then figure the area.

  8 ⇒ 3.5×8 = 28

  6 ⇒ 3.5×6 = 21

Area = LW = 28×21 = 588 . . . square units

__

2. Find the area of the given figure, and multiply that by the square of the scale factor:

Area = LW × (scale)² = (8×6)×3.5² = 48×12.25 = 588 . . . square units

_____

If you look carefully at the first calculation, you see it is identical to the second.

  (8×3.5) × (6×3.5) = (8×6) × (3.5×3.5) = (8×6)×3.5²

The sample proportion based on the question that we have here is 0.85

What is sample proportion?

The sample proportion (p) indicates the percentage of people in a sample who exhibit a particular quality or attribute. Divide the number of individuals (or items) who have the desired attribute by the overall sample size to obtain the sample proportion.

P=X/N, where X represents the number of successes and N represents the sample size, yields the sample proportion.

Hence from the question, we see that 85% of the passengers booked for flights actually show up.  hence the proportion is 0.85.

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Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.

11+13+14+16+17+18+20+20+21+24+25+29 = 228

There are 12 numbers, so divide by 12.

228/12 = 19. The mean is 19.

Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.

(Side note: yes, median and mean can be the same.)

Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.

Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.

Answer:

After tax deduction he makes $676.875  a week

Step-by-step explanation:

9.75% of 750 is 71.125

750-71.125 is 676.875

To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

Answer:

a) The probability that exactly 17 of them enroll in college is 0.116.

b) The probability that more than 14 enroll in college is 0.995.

c) The probability that fewer than 11 enroll in college is 0.001.

d) It would be be unusual if more than 24 of them enroll in college since the probability is 0.009.

Step-by-step explanation:

We can model this with a binomial distribution, with n=29 and p=0.65.

The probability that k students from the sample who graduated from high school in 2012 enrolled in college is:

\(P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{29}{k} 0.65^{k} 0.35^{29-k}\\\\\\\)

a) The probability that exactly 17 of them enroll in college is:

\(P(x=17) = \dbinom{29}{17} p^{17}(1-p)^{12}=51895935*0.0007*0=0.116\\\\\\\)

b) The probability that more than 14 of them enroll in college is:

\(P(X>14)=\sum_{15}^{29} P(X=k_i)=1-\sum_{0}^{14} P(X=k_i)\\\\\\P(x=0)=0\\\\P(x=1)=0\\\\P(x=2)=0\\\\P(x=3)=0\\\\P(x=4)=0\\\\P(x=5)=0\\\\P(x=6)=0\\\\P(x=7)=0\\\\P(x=8)=0\\\\P(x=9)=0\\\\P(x=10)=0.001\\\\P(x=11)=0.002\\\\P(x=12)=0.005\\\\P(x=13)=0.013\\\\P(x=14)=0.027\\\\\\P(X>14)=1-0.005=0.995\)

c) Using the probabilities calculated in the point b, we  have:

\(P(X<11)=\sum_0^{10}P(X=k_i)\approx0.001\)

d) The probabilities that more than 24 enroll in college is:

\(P(X>24)=\sum_{25}^{29}P(X=k_i)\\\\\\ P(x=25) = \dbinom{29}{25} p^{25}(1-p)^{4}=23751*0*0.015=0.007\\\\\\P(x=26) = \dbinom{29}{26} p^{26}(1-p)^{3}=3654*0*0.043=0.002\\\\\\P(x=27) = \dbinom{29}{27} p^{27}(1-p)^{2}=406*0*0.123=0\\\\\\P(x=28) = \dbinom{29}{28} p^{28}(1-p)^{1}=29*0*0.35=0\\\\\\P(x=29) = \dbinom{29}{29} p^{29}(1-p)^{0}=1*0*1=0\\\\\\\\P(X>24)=0.007+0.002+0+0+0=0.009\)

The value of ∠AKL and ∠AKC are both 45° each. The justification is that lines AK and KC both split the regular polygons BKLC (rectangle) and ABCD in two. The sum of angles in a right angle is 90°, hence half of that is 45°

A regular polygon is one that is two-dimensional and can be created at least three lines together.

Because, the sum of angles in a right angle is 90°, hence half of that is 45°. Therefore, the values of ∠AKL and ∠AKC are both 45° each.

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Answer:

2.5 years

Step-by-step explanation:

5, 8, 8, 5 has a population standard deviation of 3

Given,

The population is

{5, 8, 8, 5}

The population's mean is calculated as follows:

Sum of terms / Number of terms

Calculate the values and then replace them in the equation.

Sum equals 5 + 8 + 8 + 5 = 26

Number of terms = 4

The population's average is 26 / 4 = 6.5

The population's variance is equal to (5 - 6.5)² + (8 - 6.5) (8 - 6.5)² + (8 - 6.5) (8 - 6.5)² + (5 - 6.5)²

= (-1.5) (-1.5)² + (1.5) (1.5)² + 1.5² + (-1.5) (-1.5)²

= 2.25 + 2.25 + 2.25 + 2.25

= 9

The population's standard deviation is equal to

= 3

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Answer:

A=6 should be the answer.

Answer:A

Step-by-step explanation: Count the edges, which is 6

Answer:

C. \( \frac{6}{5} \)

Step-by-step explanation:

The ratio of the corresponding sides of a polygon is said to be equal. The ratio gives us the scale factor.

Therefore, assuming that quadrilateral QRST was the original polygon that was scaled up to give a similar polygon, EDGF, the scale factor would be expressed as \( \frac{42}{35} \)

The scale factor = \( \frac{42}{35} = \frac{6*7}{5*7} = \frac{6}{5} \)

Answer:

27

Step-by-step explanation:

Answer:

126 degrees

Step-by-step explanation:

2 * 63

Answer:

the mean would increase to a value to about 24.6

Q2: median is 7.

Step-by-step explanation:

Answer:

Q1) the mean would increase in value to about 24.6

Q2) 7

Answer:

48

Step-by-step explanation:

because it gives us the perimeter, we add all the sides

4z-1+4z-1+5z+3+5z+3=166

8z-2+10z+6=166

18z+4=166

18z=162

z=9

side PS is 5z+3

plug in z to get 45+3=48

Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

Answer:

The expression is a mathematical representation of an algebraic problem. The final form of the expression would be 75y -5 after combining like terms.

Here's the breakdown of the steps:

125y - 5 - 50y = (125-50)y -5 = 75y - 5

So the final simplified form of the expression is 75y -5.

x - 6 = - 4

Answer: x = 2

x + 3 = -7

Answer: x = -10

5x = -2

Answer: x = -0.4

0.5x = 5

Answer: x = 10

The solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

Given the following equations

x − 6 = -4

Add 6 to both sides

x - 6 + 6 = -4 + 6

x = -4 + 6

x = 2

For the equation x + 3 = -7

Subtract 3 from both sides

x + 3 -3 = -7 - 3

x = -10

For the equation 5x = -2

x = -2/5

x = -0.4

For the equation

0.5x = 5

x = 5/0.5

x =10

Hence the solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

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