In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the shorter leg.

Answer:

15.87%

Step-by-step explanation:

We are given;

x¯ = 33

μ = 43

σ = 10

Let's first find the z-score from the formula;

z = (x¯ - μ)/σ

Thus;

z = (33 - 43)/10

z = -10/10

z = -1

From the table attached the p-value at z = -1 is p = 0.15866 ≈ 0.1587 = 15.87%

Thus, proportion of students finished worse than her is 15.87%

Answer:

1.67 mph

Step-by-step explanation:

If this helped you please rate this comment, give it a like, and maybe mark it as branliest!

The option (B) (11, -2), (8, -1), (5, 0), (2, 1), and (-1, 2) is correct because the points will lie exactly lie on the inverse of a function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function shown in the picture.

Let's assume the points (2, 0) and (0, 5) lie on the line which is shown in the graph.

The linear function from these two points:

[tex]\rm y=\dfrac{\left(0-5\right)}{\left(2\right)}\left(x-2\right)[/tex]

[tex]\rm y=\dfrac{\left5\right}{\left2\right}\left(x-2\right)[/tex]

To find the inverse of a function interchange the value of x and y:

The inverse function:

[tex]\rm x=\dfrac{\left5\right}{\left2\right}\left(y-2\right)[/tex]

After plotting the points:

(11, -2), (8, -1), (5, 0), (2, 1), (-1, 2)

The points will lie exactly lie on the inverse of a function.

Thus, the option (B) (11, -2), (8, -1), (5, 0), (2, 1), and (-1, 2) is correct because the points will lie exactly lie on the inverse of a function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

Answer:

3(y + 5)

Step-by-step explanation:

Factorization is a process which is like the opposite of expansion. It involves factoring out the common factors from the given terms.

Thus to factorize 3y + 15, we have to consider the common factor(s) of the two terms. The common factor is 3 because the two terms (i.e 3y and 15) are both divisible by 3 only.

So that:

3y + 15= 3([tex]\frac{3y}{3}[/tex] + [tex]\frac{15}{3}[/tex])

           = 3(y + 5)

The outcome of the process is 3(y + 5).

Answer: 11 years

Step-by-step explanation: 3960 divided 12%= 33,000 divided 3000=11

Answer: it will take 11 years

Answer:

a) £320

b) £720

c) 2 days

Step-by-step explanation:

The question is all about inputting values and finding a result or rearranging and finding a result.

a) d = 6. C = 50(6)+20      = 320

b) d = 2x7 (7 days a week)  C = 50(2x7) + 20     = 720

c) C = 120 ... 120 = 50d+20

100 =50d      d = 100/50      = 2

Step-by-step explanation:

A 140

its obtuse. Hope this helps :)

Answer:

B

Step-by-step explanation:

It is either 33 or 66 inches but I think it is B

Answer:

a

Step-by-step explanation:

Answer:

She will have 7 dollars, with 96 cents remaining.

Step-by-step explanation:

326 pennies is $3.26

64 nickels is $3.20

15 dimes is $1.50

Add them all;

$3.26 + $3.20 + $1.50 = $7.96

She will have 7 dollars, with 96 cents remaining

C, 80 square feet.

Have a nice day!

Answer:

Complementary

Step-by-step explanation:

You are correct.

Answer:

Complementary

Step-by-step explanation:

b + a = 90 degrees.

complementary is 2 angles that add up to 90 degrees

Answer:

84.13% of the shipment is defective

Step-by-step explanation:

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.

Normally distributed with mean 39.3 and standard deviation 0.2

This means that [tex]\mu = 39.3, \sigma = 0.2[/tex]

What percentage of the shipment is defective

Less than 39.5 or greater than 40.5.

Less than 39.5:

This is the pvalue of Z when X = 39.5. So

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

[tex]Z = \frac{39.5 - 39.3}{0.2}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413.

Greater than 40.5:

1 subtracted by the pvalue of Z when X = 40.5. So

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

[tex]Z = \frac{40.5 - 39.3}{0.2}[/tex]

[tex]Z = 6[/tex]

[tex]Z = 6[/tex] has a pvalue of 1

1 - 1 = 0

Total:

0.8413 + 0 = 0.8413

84.13% of the shipment is defective

Answer:

angle a is 110

angle B is 110

angle C is 70

Answer:

ur dad lololol

Step-by-step explanation:

hehehehehehe

Answer:

10 because

5 divide by 10 = 50

Step-by-step explanation:

give brainest or answer my question

do you have a microsoft account if you do the i can invite you in microsoft reward and maybe we can get microsoft 365

Answer:

+1/2

Step-by-step explanation:

If the slope of the given line is -2, the slope of a line perpendicular to the given line is the negative reciprocal of -2, or +1/2.

Answer:

17 hours is the total of miles he walked

Answer:

Step-by-step explanation:

rn = 6 miles in 2 hrs

we want 9 hours

Per hour it will be 3 miles

3 miles = 1 hr

6 miles = 2 hrs

9 miles = 3 hrs

12 miles = 4 hrs

15 miles = 5 hrs

18 miles = 6 hrs

21 miles = 7 hrs

24 miles = 8 hrs

27 miles = 9 hrs

All you basically had to do is multiply the 9 hours with 3 since that's how much you get per mile, and then you get your total of 27 miles

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

Step-by-step explanation:

x=45816 , 1.89552335

Answer:

Answer:

x=0.333333,−0.333333

Step-by-step explanation:

(813)(x) /3^4

x=729

Simplifies to:

6561x2=729

Let's solve your equation step-by-step.

6561x2=729

Step 1: Divide both sides by 6561.

6561x^2 /6561 =  729 /6561

x2= 1 /9

Step 2: Take square root.

x=±√ 1 /9

x=0.333333,−0.333333

Answer:

t = -10

Step-by-step explanation:

Ok so,

12 - 10t = -13t -18

12 - 10t + 13t = -13t + 13t - 18

12 + 3t = -18

12 - 12 + 3t = -18 - 12

3t = -30

t = -10

hope this helps! have a good day!

Answer:

$43,618

Step-by-step explanation:

Find the price of the car after this price increase.  Multiplying $38,600 by 1 yields the original price, whereas multiplying it by 0.13 yields the price increase.  Thus, we can answer this question by multiplying $38,600 by 1.13:

$38,600*1.13 = $43.618.  This is the price for which the dealer sells the car.

Answer:

60*12*10-48*12*15=7200-8640=-1440

The red locker has more storage space by 1440 cubic inches.

Step-by-step explanation:

The red locker has more storage space by 1440 cubic inches.

We have given that,

Each locker is shaped like a rectangular prism.

The area of rectangular prism = 2(lb + bh + lh)

One locker has more storage space by how many more cubic inches

=60*12*10-48*12*15

=7200-8640

=-1440

The red locker has more storage space by 1440 cubic inches.

To learn more about the rectangular prism visit:

https://brainly.com/question/24284033

Answer:

48 ft²

Step-by-step explanation:

The question is only asking for the rectangular part, so you would do 12 • 4 = 48.

Answer:

I posted a picture on the graph and how the two point intercept eachother

Step-by-step explanation:

Hope this Helped

Answer: $20.24

Step-by-step explanation: add 3.75+3.99+12.50

Answer:

7+12x+2y

Step-by-step explanation:

3-8+(12x + 12)+2y=

-5+(12x +12)+2y=

7+12x+2y

Answer:

Simplified, your answer should be 12x + 2y + 7

Step-by-step explanation:

Hope this helps! :)

Have a nice day! ♥

Answer:

a. Not proportional

b. Proportional;

k = ⅞

Step-by-step explanation:

A proportional relationship is usually represented in the format, y = kx. k here represents constant of proportionality. This shows that x and y are directly proportional.

a. y = -2x + 9 is not a proportional equation.

b. y = ⅞x is a proportional equation.

Constant of proportionality: k = ⅞

Answer:0.0156250

Step-by-step explanation: (x)n = (1/2) x (1/2) x (1/2) x (1/2) x (1/2) x (1/2) = 1/64

Answer:

Explanation:

First, you put the equation into the standard “slope/intercept” form.

4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :

y = 4x - 2

In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.

y = 4x - a (generic)

ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.

We find this by putting our point value into the equation:

3 = 4(-2) + a ; 3 = -8 + a ; a = 11

Thus, our “parallel line equation” through the point (-2,3) is:

y = 4x + 11

Answer:

y = 4x + 1

Step-by-step explanation:

first put the equation 4x-y=2 into the form y = mx + b where m is the slope and b is the y-intercept (for example, y = 2x - 1 would have 2 is the slope and -1 is the y-intercept)

4x - y = 2

subtract 4x from both sides

-y = -4x + 2

multiply both sides by -1

y = 4x - 2

That means the slope of this line is 4.

Parallel lines always have the same slope, so the slope of the new line is also 4. You can again put the new equation into the form y = mx + b. You already know that the slope is 4, so y = 4x + b.

Next, you need to find b. You know that (-1, -3) is a solution, so if you plug x = -1 and y = -3 into the equation, it should be true.

You can put that into the equation to solve for b:

-3 = 4 * -1 + b

-3 = -4 + b

1 = b

This means the equation is y = 4x + 1