Helena builds a shed in her backyard. There is a larger square section for large​ tools, like her lawn​ mower, and a smaller square section for small tools. What is the length of the entire​ shed? What type of number is the​ length? List as many types of numbers for the length as are possible.

Answer:

The  probability is  [tex]P(X = 5) = 0.222[/tex]

Step-by-step explanation:

From the question we are told that

   The  proportion of business travelers that plan their own business trip is [tex]p = 0.45[/tex]

   The  sample  size is  n  = 12

    The  random number considered is  x =  5

Generally the  proportion of business travelers that do not  plan their own business trip is mathematically evaluated as

      [tex]q = 1- p[/tex]

=>   [tex]q = 1-0.45[/tex]

=>    [tex]q = 0.55[/tex]

 This  can study can be said to follow binomial distribution as there is only two outcomes

So the probability exactly 5 travelers plan their own trips is mathematically represented as

     [tex]P(X = 5) = ^{12} C_5 * p^5 * q^{12- 5 }[/tex]

Generally using a combination calculator  

      [tex]^{12} C_5 = 792[/tex]

So

    [tex]P(X = 5) = 792 * (0.45)^5 * (0.45)^{12- 5 }[/tex]

    [tex]P(X = 5) = 0.222[/tex]

Answer:

irational number, non-repeating

Answer:

To divide the money evenly, without him taking any, use the formula in which x is the amount of children.

2000/x

It's that simple!

2000 dollars divided by x children.

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

Answer:

The critical z value used to test a null hypothesis is ±1.645.

Step-by-step explanation:

We are given that the data has a normal distribution and the number of observations is greater than fifty.

And we have to find the critical z value used to test a null hypothesis at α = 0.1 for a two-tailed test.

Firstly, as we know that to find the critical z value we need only the level of significance to be known.

Here, the level of significance is given = [tex]\alpha[/tex] = 0.10

But for the two-tailed test, the level of significance to be considered is given by = [tex]\frac{\alpha }{2}[/tex] = [tex]\frac{0.10}{2}[/tex] = 0.05 or 5%.

Now, in the z table; we can see that the critical z value at a 5% level of significance (for the two-tailed test) is given as 1.645.

Hence, the critical z value used to test a null hypothesis at α = 0.1 for a two-tailed test is ±1.645.

According to the z-distribution, the critical value is given by:

a. ±1.645

The critical value for a two-tailed test with a significance level of [tex]\alpha[/tex] is |z| such that -z has a p-value of [tex]\frac{\alpha}{2}[/tex].

In this problem, [tex]\alpha = 0.1[/tex], then [tex]\frac{\alpha}{2} = 0.05[/tex].

A similar problem is given at https://brainly.com/question/18306091

Answer:

none

Step-by-step explanation:

no x because (y-3)=14 so the x wouldnt repeat

Answer:

y = 5

Step-by-step explanation:

-7(y-3)= -14

Divide each side by -7

-7/-7(y-3)= -14/-7

y-3 = 2

Add 3 to each side

y-3+3 = 2+3

y = 5

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello friend

the answer is [tex]\frac{x}{3}[/tex] + [tex]\frac{2}{3}[/tex]

To find the inverse, interchange the variables and solve for y

[tex]f^{-1}[/tex](x) =  [tex]\frac{x}{3}[/tex] + [tex]\frac{2}{3}[/tex]

Hope this helps

plz mark as brainliest!!!!!!

Answer:

[tex] \sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4} [/tex]

Step-by-step explanation:

[tex] \because \: x = 4 \tan \theta \\ \therefore\frac{x}{4} = \tan \theta....(1) \\ \\ \because \: { \sec}^{2} \theta = 1 + { \tan}^{2} \theta \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \tan}^{2} \theta } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \bigg( \frac{x}{4} \bigg)}^{2} } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \frac{x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm\sqrt{{ \frac{16 + x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4} [/tex]

To get 8.98, the decimal point is moved 6 places to the left. This means the exponent is positive 6

The answer is D. 8.98 x 10^6

Answer: the answer is d

Step-by-step explanation:

Answer:

D. y= -3x+ 5

Step-by-step explanation:

[tex]12x + 4y = 20[/tex]

Move 12x to the right and change its sign

[tex]4y =20-12x[/tex]

Divide through by 4

[tex]\frac{4y}{4} = \frac{20}{4} -\frac{12x}{4} \\\\Simplify\\y = 5-3x\\y =-3x+5[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{y = - 3x + 5}}}}}[/tex]

Option D is the correct option.

Step-by-step explanation:

[tex] \sf{12x + 4y = 20}[/tex]

Move 12x to right hand side and change it's sign

⇒[tex] \sf{4y = - 12x + 20}[/tex]

Divide both sides of the equation by 4

⇒[tex] \sf{ \frac{4y}{y} = \frac{ - 12x + 20}{4} }[/tex]

⇒[tex] \sf{y = \frac{ - 12x}{4} + \frac{20}{4} }[/tex]

Divide -12x by 4 . Also divide 20 by 4

⇒[tex] \sf{y = - 3x + 5}[/tex]

Hope I helped!

Best regards!! :D

Answer:

Exact Form: − 29 30 Decimal Form: − 0.9 ¯ 6

Hoped I helped

Answer:

45 are pink 55 are not pink

Step-by-step explanation:

a) The number of pink seashells is A = 45

b) The number of seashells that are not pink = 55

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the total number of seashells be = 100

Let the percentage of the seashells that are pink = 45 %

If 45% of the 100 seashells are pink, then the remaining 55% must be not pink. We can find the number of pink shells by multiplying 100 by 45%:

Number of pink shells = 100 x 0.45 = 45

To find the number of shells that are not pink, we can subtract the number of pink shells from the total number of shells:

Number of shells not pink = 100 - 45 = 55

Hence , there are 55 seashells that are not pink and 45 seashells that are pink.

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Answer:

6x + 154

Step-by-step explanation:

4(x + 40) +2(x -3) =

4x + 160 + 2x - 6 =

6x + 154

Answer:

2(3x + 77)

Step-by-step explanation:

4(x+40)+2(x-3)

4x+160+2x-6

6x+154

=2(3x+77)

Answer:

What account are you talking about?

Step-by-step explanation:

Answer:

(x2 - 5x + 7) • (x - 4)

Step-by-step explanation:

Answer:

SECOND AND LAST ONE

x2 + 40x + 400

256x4 – 256x3 + 96x2 – 16x + 1

Step-by-step explanation:

Answer:

Angle one is a angle of depression

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The area for a parallelogram is given by the following formula:

[tex]A=bh[/tex]

Where b is the base and h is the height.

We already know the area is 28 and the height is 4. So, substitute:

[tex]28=4b[/tex]

Divide both sides by 4:

[tex]b=7[/tex]

So, the base length is 7.

Our answer is 7 :)

Hey there! I'm happy to help!

The area of a parallelogram is just the base multiplied by the height. If the area is 28 square feet, we will divide it by our height to find the base.

28/4=7

Therefore, our base is 7 feet.

Have a wonderful day! :D

Answer: 4.485

Step-by-step explanation:

We need to find the number between [tex]\dfrac {17}{4}[/tex] and [tex]\sqrt{20}[/tex].

For this , we first simplify the above numbers.

[tex]\dfrac{17}{4}= 4.25[/tex]  [divide 17 by 4]

[tex]\sqrt{20}=\sqrt{4\times5}=2\sqrt{5}= 2(2.236)=4.472[/tex]   [ [tex]\sqrt{5}=2.236[/tex] ]

Now, Midpoint of  4.25 and 4.472 = [tex]\dfrac{4.25+4.72}{2}=\dfrac{8.97}{2}=4.485[/tex]

Number between 4.25 and 4.472 =4.485

Or number between [tex]\dfrac {17}{4}[/tex] and [tex]\sqrt{20}[/tex] is 4.485.

Answer:460 in word form: Four Hundred Sixty

460 in expanded form: 400+60

Answer:

Step-by-step explanation:

-10m + 35 + 5 = 120

-10m + 40 = 120

-10m = 80

m = -8

Answer:

1/7.

Step-by-step explanation:

You use the inverse of 7 which is 1/7.

In order to back to its original size, we need to take a scale factor of 1/7.

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

For example, 50 meters is very big so we cannot measure it but if we can convert it into 50 mm such that the scale ratio is maintained then it will be easy to draw.

If the rectangle is scaled by scale factor 7 it means it is plotted 7 times big such that a 7:1 scale factor maintain.

Now if we want to see the original rectangle then we need to take 7 times lower than that so a 1/7 scale factor is going to use.

Hence "In order to back to its original size, we need to take a scale factor of 1/7".

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Answer: The distance would be, (3, 4)

Answer:

713/40 or as mixed fraction of 17 33/40 (see setps below)

Step-by-step explanation:

Simplify the following:

-(3 + 7/8) (-(4 + 3/5))

Hint: | Multiply all instances of -1 in -(3 + 7/8) (-(4 + 3/5)).

(-1)^2 = 1:

(4 + 3/5) (3 + 7/8)

Hint: | Put the fractions in 3 + 7/8 over a common denominator.

Put 3 + 7/8 over the common denominator 8. 3 + 7/8 = (8×3)/8 + 7/8:

(4 + 3/5) (8×3)/8 + 7/8

Hint: | Multiply 8 and 3 together.

8×3 = 24:

(4 + 3/5) (24/8 + 7/8)

Hint: | Add the fractions over a common denominator to a single fraction.

24/8 + 7/8 = (24 + 7)/8:

(4 + 3/5) (24 + 7)/8

Hint: | Evaluate 24 + 7 using long addition.

| 1 |  

| 2 | 4

+ | | 7

| 3 | 1:

(4 + 3/5)×31/8

Hint: | Put the fractions in 4 + 3/5 over a common denominator.

Put 4 + 3/5 over the common denominator 5. 4 + 3/5 = (5×4)/5 + 3/5:

31/8 (5×4)/5 + 3/5

Hint: | Multiply 5 and 4 together.

5×4 = 20:

((20/5 + 3/5)×31)/8

Hint: | Add the fractions over a common denominator to a single fraction.

20/5 + 3/5 = (20 + 3)/5:

31/8 (20 + 3)/5

Hint: | Evaluate 20 + 3.

20 + 3 = 23:

23/5×31/8

Hint: | Express 23/5×31/8 as a single fraction.

23/5×31/8 = (23×31)/(5×8):

(23×31)/(5×8)

Hint: | Multiply 5 and 8 together.

5×8 = 40:

(23×31)/40

Hint: | Multiply 23 and 31 together.

| 3 | 1

× | 2 | 3

| 9 | 3

6 | 2 | 0

7 | 1 | 3:

Answer: 713/40

________________________________________

Convert to a mixed number:

713/40

Hint: | Use long division to get a quotient and remainder.

Divide 713 by 40:

4 | 0 | 7 | 1 | 3

Hint: | How many times does 40 go into 71?

40 goes into 71 at most one time:

| | | 1 | |  

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

Hint: | How many times does 40 go into 313?

40 goes into 313 at most 7 times:

| | | 1 | 7 |  

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

| - | 2 | 8 | 0 |  

| | | 3 | 3 |  

Hint: | Summarize the results.

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:

| | | 1 | 7 | (quotient)

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

| - | 2 | 8 | 0 |  

| | | 3 | 3 | (remainder)

Hint: | In the equivalent mixed fraction, the quotient becomes the whole number part, the remainder becomes the numerator part, and the divisor (denominator) remains the denominator.

The quotient of 713/40 is 17 with remainder 33, so:

Answer: 17 33/40

Answer:

22

Step-by-step explanation:

Answer:

A parallelogram is a shape with 4 equal sides like a square or a rectangle. I hope this helped!

Answer:

A = 24 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (12)*4

A = 24 cm^2

Answer:

1/2bh.

1/2×12×4= 1/2×48.

=24cm^2

Answer:

11.70

Step-by-step explanation: