What is the length of the side labeled x cm?

10.8
13.7
9.9
20.8

The answer is 43 because when you multiply 6x6 you get 36 and if you add 6 more you get 42 which is one less that 43

Answer:

i \(\to\) a

    \(n = 96040000\)

i \(\to\) b

    \(n_1 =24010000\)

i \(\to\) c

    \(n_2 =41602500\)

ii\(\to\)a

     \(E = 58.16\)

ii\(\to\)b

    \(291.84 < \mu < 408.16\)\

ii\(\to\)c

    There is insufficient evidence to conclude that the analyst is right because the population mean fee by the analyst does not fall within the confidence interval

Step-by-step explanation:

From the question we are told that

     The sample size is \(n = 8\)

      The sample mean is  \(\= x = \$ 350\)    

      The sample standard deviation is  \(\$ 100\)

Considering question i

    i \(\to\) a

         At   \(E = 0.02\)  

given that the confidence level is 95%  =  0.95

         the level of significance would be  \(\alpha =1-0.95 = 0.05\)

The critical value of  \(\frac{\alpha }{2}\) from the normal distribution table is  

        \(Z_{\frac{ \alpha }{2} } = 1.96\)

So  the sample size is mathematically evaluated as

            \(n = [ \frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2\)

=>        \(n =[ \frac{ 1.96 * 100}{ 0.02} ]^2\)

=>         \(n = 96040000\)

 i \(\to\) b

  At  \(E_1 = 0.04\)    and  confidence level  = 95%  =>  \(\alpha_1 = 0.05\)   =>  \(Z_{\frac{\alpha_1 }{2} } = 1.96\)

             \(n_1 = [ \frac{Z_{\frac{\alpha_2 }{2} } * \sigma }{E_1} ]^2\)

=>           \(n_1 =[ \frac{ 1.96 * 100}{ 0.04} ]^2\)

=>           \(n_1 =24010000\)

 i \(\to\) c

       At   \(E_2 = 0.04\)     confidence level  = 99%  =>    \(\alpha_2 = 0.01\)

The critical value of  \(\frac{\alpha_2 }{2}\) from the normal distribution table is  

        \(Z_{\frac{ \alpha_2 }{2} } = 2.58\)

=>    \(n_2 = [ \frac{Z_{\frac{\alpha_2 }{2} } * \sigma }{E_2} ]^2\)

=>    \(n_2 =[ \frac{ 2.58 * 100}{ 0.04} ]^2\)

=>    \(n_2 =41602500\)

Considering ii

Given that the level of significance is  \(\alpha = 0.10\)

Then the critical value  of  \(\frac{\alpha }{2}\) from the normal distribution table is  

           \(Z_{\frac{\alpha }{2} } = 1.645\)

Generally the margin of error is mathematically represented as

          \(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)

substituting values

         \(E = 1.645 * \frac{100 }{\sqrt{8} }\)

         \(E = 58.16\)

Generally the 90% confidence interval is mathematically evaluated as

         \(\= x - E < \mu < \= x + E\)

=>      \(350 - 58.16 < \mu < 350 + 58.16\)

=>     \(291.84 < \mu < 408.16\)

So the interpretation is that there is 90% confidence that the mean  fee charged to H&R Block customers last year is in the interval .So there is insufficient evidence to conclude that the analyst is right because the population mean fee by the analyst does not fall within the confidence interval.

Answer:

C.

Step-by-step explanation:

Answer:

9x^2+4-12x+21x^2+x-10

30x^2-11x-6

Step-by-step explanation:

please make me as brainlest

The sale price of the item when displayed on sales costs $8.75 based on the stated original price and percentage discount offered.

The formula to calculate sale price of the item according to discount and original price will be -

Sale price = 25% × original price

Keep the value of original price in the formula to find the sale price

Sale price = 25% × 35

Performing multiplication and division by solving the percentage on Right Hand Side of the equation to find the value of sale price of the item

Sale price = 8.75

Hence, the item on sale costs $8.75.

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Answer:

-80

Step-by-step explanation:

80 less than x"

__________________

We have the expression 80 less than x. X has no artifical value therefore we do nothing with it. Based off of the wording of the sentence, it says that the total of this unknown number is 80 less than x. Meaning the 80 has been subtracted by x to get this unknown number. Therefore,

x - 80

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The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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The surface area of the solid formed is approximately, 598.3 in².

Surface area of the solid is the area covered by the solid all round.

The given parameters are:

Surface area of the solid formed = 5(10×10) + (0.5×10×8.67) + 3(10×1.83) = 598.3 in²

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Answer: x = 1

Step-by-step explanation:

Perimeter of a square -> p = 4s (p stands for perimeter and s stands for side length)

Plug that in with s = 4x-1 (length of one side of the square) ->

p = 4 (4x-1)

We use the distributive property to get ->

p = 4 (4x) - 4(1)

  = 16x - 4

We now know that the perimeter of the square is 16x - 4.

Since we know that the perimeter of the square and rectangle are equal (the problem told us), we can use this and plug the length and width of the rectangle in. Formula for rectangles are -> p = 2 (s1 + s2) (s1 is the length, s2 is the width) (p stands for perimeter and s stands for side length).

p (perimeter) -> 16x - 4

s1 (length) -> 2x +2

s2 (width) -> 2x

Let's plug our answers in:

16x - 4 = 2( 2x + 2 + 2x)

Combine like terms:

16x - 4 = 2 (4x + 2)

Use the distributive property:

16x - 4 = 2 (4x) + 2 (2)

Simplify:

16x - 4 = 8x +4

Inverse Operations:

16x - 4 - 8x = 8x +4 -8x

Combine like terms:

8x - 4 = 4

Inverse Operations:

8x - 4 + 4 = 4 + 4

Simplify:

8x = 8

Divide:

8x / 8 = 8 / 8

Simplify:

x = 1

If you have any questions, feel free to ask me (or anyone else)! Good luck!

Answer:

A.)

Step-by-step explanation:

15 multiplied by 14 is the total number of women’s players.

14(m) is our unknown amount of men’s teams

Which has to be less than the amount of players who can register 476

Answer:

5:45pm

Step-by-step explanation:

The bus will arrive at 5:45pm

If both buses continue to repeat their route, they be back at the bus depot together at 5:45 pm.

To find out when both buses will be back at the bus depot together, we will determine the least common multiple (LCM) of their route completion times.

In this case, the LCM of 15 minutes and 35 minutes is 105 minutes.

Since there are 60 minutes in an hour, 105 minutes is equal to 1 hour and 45 minutes.

Therefore, both buses will be back at the bus depot together after 1 hour and 45 minutes from when they initially left at 4 pm.

Adding 1 hour and 45 minutes to 4 pm:

4:00 pm + 1 hour 45 minutes = 5:45 pm

So, both buses will be back at the bus depot together at 5:45 pm.

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Answer:45%

Step-by-step explanation:

Answer:

b. at least one plane has critical cracks.

Answer:

The Evergreen Fertilizer Company produces fertilizer. The company's fixed monthly costis $25,000, and its variable cost per pound of fertilizer is $0.15. Evergreen sells thefertilizer for $0.40 per pound. Determine the monthly break-even volume for thecompany.Break Even Volume = Fixed cost / (Selling price per pound – Variable cost perpound)= 25000/(0.40-0.15)= 100,000 PoundsQuestion 12:If the Evergreen Fertilizer Company in problem 4 changes the price of its fertilizer from$0.40 per pound to $0.60 per pound, what effect will the change have on the break-evenvolume?Break Even Volume = Fixed cost / (Selling price per pound – Variable cost perpound)= 25000/(0.60-0.15)= 55,555.56 PoundsThe break even volume

Step-by-step explanation:

Answer: x-intercept (10,0), (−4,0)

The medians are about the same.

Option C is the correct answer.

The median, in statistical terms, refers to the value in the center of a dataset that has been sorted either in ascending or descending order, and it is a commonly used measure of central tendency. This contrasts with the mean, which calculates the total value of all figures, then divides by the number of figures.

We have,

Movie theater 1.

From the box plot given,

The median is 995.

Movie theater 2.

From the box plot given,

The median is 995.

Thus,

The median in both the box plot is the same.

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1. The rate that Brand A is selling for is A) 10-unit rate.

2. The unit rate of Brand A is $0.10 per pound.

The unit rate refers to the variable cost per unit or the quotient of a division operation.

The unit rate shows a value's ratio in relation to another.

To compute the unit rate, we can use the division operation that makes the denominator the dividend, which is divided by the numerator (or divisor).

The quantity in Brand A = 20 pounds

The quantity in Brand B = 60 pounds

Cost of Brand A = $2

Cost of Brand B = $5

The unit rate for Brand A = $2/20 = $0.10, which can also be expressed as 10 units for $1 (20/$2).

Likewise, the unit rate for Brand B = $5/60 = $0.83, which we can describe as 12 units for $1 (60/$5).

Thus, we can conclude that the rate at which Brand A is selling is Option A.

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Answer Options:

A) 10-unit rate

B) 12-unit rate

C) 9-unit rate

D) 8-unit rate

The measure of the side MN is 19.1.

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

The different trigonometric identities are expressed as:

From the information given, we have that:

Using the tangent identity:

\(\text{tan} \ \theta = \dfrac{\text{opposite}}{\text{adjacent}}\)

Substitute the values

\(\text{tan}(60) =\dfrac{\text{MN}}{11}\)

Cross multiply the values, we have:

\(\text{MN} = \sf 1.73(11)\)

\(\text{MN} = 19. 05 \thickapprox\bold{\underline{19.1 \ ft}}\)

Hence, the measure of the side MN is 19.1.

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the value of x can be calculated using the given data.

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

Given a triangle, with two known angles of 42-degree and 26-degree

Let the triangle be ABC

This is, in fact, exactly what the Law of Sines tells you:

a/sinA = b/sinB = c/sinC = m

where m is that scale factor and also the diameter of the triangle's circumcircle.

in our case,

∠A = 26°

∠B = 42°

thus,

a/sinA = b/sinB

4/sin26 = b/sin42

b = 4* (sin 42 /sin26)

b =6.12

or x = 6.1 cm

therefore, the value of x can be calculated using the given data.

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By using the figure below, the value of line segment PT is equal to 54 units.

In Mathematics, the midpoint of a line segment with two endpoints can be calculated by adding each point on a line segment together and then divide by two (2).

Since T is the midpoint of PQ, we have the following:

Line segment PT = Line segment TQ

7x + 5 = 9x - 9

9x - 7x = 9 + 5

2x = 14

x = 14/2

x = 7.

Now, we can determine the value of PT:

PT = 7x + 5

PT = 7(7) + 5

PT = 54 units.

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Complete Question:

Use the figure to the right to find the value of PT. T is the midpoint of PQ PT=7x+9 and TQ=9x-5

Answer: did you ever find the answer ?? i lowkey need it

Step-by-step explanation:

lol

Answer:

33, 57

(not 100% sure this is correct)

Step-by-step explanation:

90= x +(24 +x)

(drag 90, plus the x's and drag the 24)

90 = 2x + 24

(Subtract 24 from 24 and 90 from 24)

66 = 2x

(Divide both by two)

33 = x

(now use x and plus it by 24)

24 + x = 57

Answer:

13x + 7x = 180 (corresponding angles, sum of adjacent angles on a straight line=180)

20x = 180

x = 9

Substitute x into angle measures to find values.

13x° = 13(9)

= 117°

7x° = 7(9)

= 63°

Solution:

Given that z varies directly as x and inversely as y, this is expressed mathematically as

Introducing a proportionality constant k, we have

When z = 123, x=6, and y=6 , k is evaluated to be

Thus, equation 1 becomes

To evaluate z when x =7 and y=8, we substitute the respective values of x and y into the above equation.

Thus,

Hence, the value of z when x =7 and y =8 is

Answer:

10 + x = -13

Step-by-step explanation:

The sum of 10 and x is -13.

10 + x = -13

We have a total of 8 cards, where 3 of them are a multiple of 2, and 5 is an odd number. Consider that event A represents the probability of picking an odd number and event B is picking a multiple of 2. We know that the events are independent (because we put the cards back), therefore the probability of A and B can be expressed as

Where

Therefore

The final answer is

By simplifying the equation we can get 5y²+2y+0.4.

An equation is said to be a formula that express the equality of two expressions. These two expressions on either side of the equal sign are called the "left side" and "right side" of the equation. We usually assume that the right-hand side of the expression is zero. This can be compensated for by subtracting the right side formula from the two side formulas, so there is no loss of generality.

The equation is representing direct proportion is, by the commenting them with equal sign.

4y²+4.1+7y-3.7-5y+y²

Reorder and gather like terms-

(1.4y²+y²)+(4.1-3.7)-(7y-5y)

Collect coefficients of likes terms

(1.4+1)y²+(4.1-3.7)-(7y-5y)×y

Calculate the sum or difference we can get

2.4y²+0.4+2y

Rewrite the expression

2.4y²+2y+0.4

Thus this is the correct answer .

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Answer:

-34

Step-by-step explanation:

Solving in steps

Question given:

Find x.

x+45=11

Answer: 34

x+45 = 11

⇒x = 11-45

⇒x = -34

.°. x = -34

LHS :

x+45

→ -34+45

→ 11

→ RHS

LHS = RHS

Hence, x = -34 is the correct answer.

\(\rm\blue{So,done!}\)