A drawer contains 3 red pens, 4 blue pens, and 7 black pens. If you randomly pull
a pen out of the drawer, what is the probability it is blue?

The sum angle of triangle is 180°

The angle of line is 180°

The right angle is 90°

x=180-115

x=65°

y=180-65-90

y=90-65

y=25

Answer:

7 I think

Hope's ti helps

Answer:

[tex]\frac{1}{11}[/tex]

Step-by-step explanation:

[tex]\frac{3}{12}\cdot \frac{4}{11}[/tex][tex]=\frac{1}{11}[/tex]

Hope this helped! :)

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

Answer:

45 rand

Step-by-step explanation:

3 large pizzas is 10 ×3=R30

5 small drinks is 1.50×5=R7.50

tip of R7.50

add all

30+7.50+7.50

=45

Answer: D

Step-by-step explanation: please give me it!

Answer:

maybe the bottom right one?

Step-by-step explanation:

Answer:

A. They are both Solutions

Step-by-step explanation:

Answer:

Both are solutions

Step-by-step explanation:

5x8 is less than 52, and so is 5x10

Answer: Last one I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of sides:

Area of the bottom:

Total area:

Paint needed:

Answer:3.38

Step-by-step explanation:

Count, N: 5

Sum, Σx: 18

Mean, μ: 3.6

Variance, σ2:  11.44

Steps

(10 - 3.6)2 + ... + (2 - 3.6)2

5

=  

57.2

5

=  11.44

σ =  √11.44

=  3.38

answer=1/4

explanation ; 6divided by 3/8=0.25    which is equal to 25/100 or 25 divides 25 once and divides 100  4 times giving 1/4

Answer:

Step-by-step explanation:

Jackie   you should know that  the supplemental angles always add to 180°  :)

That's like angles  1 & 2  or   55° & 1  .  both are supplemental and add to 180°

Knowing this should make answering this pretty easy. :)

180 = ∠1 + 55

125 = ∠1

∠3 =∠1

∠2 = 55°

since line g is parallel to f , we know all the angles in the same places of line f are identical... got it?

The answer will be 100.48

If we take π = 3.14.

Answer:

21.07 m²

Step-by-step explanation:

Please find the complete question in the attached image

Area of shaded region = area of rectangle - area of semicircle

Area of semicircle = [tex]\frac{1}{2}[/tex]πr²

π = 3.14

r = radius = 14/2 = 7m

the diameter of the semicircle is 14m , thus the radius would be half of the diameter

(1/2) x 3.14 x 7² = 76.93 m^

Area of a rectangle = length x width

width = radius of semicircle = 7

14 x 7 = 98 m²

Area of shaded region =  98 m² -  76.93 m^ = 21.07 m²

Step-by-step explanation:

n(s) for 2 cubes =6×6=36

n (5, even) = 3

(5,2) (5,4) & (5,6)

so, probability = 3/36 = 1/12

Answer:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-1, 4) and (0, 2)

[tex]=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2[/tex]

Therefore, the slope of the line is -2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-2x+b[/tex]

2) Determine the y-intercept

[tex]y=-2x+b[/tex]

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

[tex]y=-2x+2[/tex]

I hope this helps!

Answer:

105 dollars after a year

Step-by-step explanation:

I = (100)(0.05)(1)

I = 5

Answer:

The cost per widget will never be greater than $25

Answer:

P(-8,6), Q(-5,2), R(2,1)

Answer:

The muscles of the small intestine mix food with digestive juices from the pancreas, liver, and intestine, and push the mixture forward for further digestion. The walls of the small intestine absorb water and the digested nutrients into your bloodstream.

Answer & Explanation:

When humans chew food, it is chemically and physically broken down into smaller molecules. Your teeth physically crush the food and enzymes in your saliva break down the food into smaller pieces. Then your food goes through your esophagus and begins the digestion process. When the food reaches the stomach, the stomach walls pound the food to make it into smaller chunks of food. Hormones secreted in the stomach walls release acids and enzyme juices that chemically dissolve the food into even smaller pieces. The liver, pancreas, and gallbladder are major parts of the digestive process as well. They produce digestive juices and transfer bile to prepare for the next stage. After the food has been in the stomach for three hours, the food is now a liquid called chyme and is ready to move into the small intestine! The liver sends the bile to the gallbladder that secretes it into the duodenum. Then it dissolves the fats in the chyme so they can be digested by the juices from the pancreas and intestines. The enzyme juices break down the fat molecules in the chyme into fatty acids. The enzymes carry out the final deconstruction of proteins into amino acids. This happens in the small intestine lower region that is coated with villi. The villi maximizes molecule absorption and transfers it into the bloodstream. The blood then feeds it to the body’s organs and tissues.

That is whole process of digestion. Hope this helps! :3

Answer:

caste system, they were commonly used to show the groups of people in their social hierarchies

Answer:

[tex] \frac{2}{9} = \frac{9}{2} [/tex]

[tex] \frac{ - 7}{6} = \frac{ 6}{ - 7} [/tex]

[tex] \frac{8}{3} = \frac{3}{8} [/tex]

9514 1404 393

Answer:

  D.  x = 15; y = 5√3

Step-by-step explanation:

You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.

Since x < 10√3, only answer choices A and D are viable.

Since y < 10√3, only answer choice D is viable.

_____

If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.

  x = 15; y = 5√3

Answer:

Step-by-step explanation:

Tyler's square is going to be 60 feet on each side. That is 3600 square feet.

Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.

A is wrong. A square maximizes the area.

B is correct.

C The areas are not the same. C is wrong.

D is wrong. Both fence proposals work.

Answer:

B is correct

Explanation:

Tyler's square is going to be 60 feet on each side. That is 3600 square feet.

Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.

Hope this helps! :)

Answer:

the water will rise 10 in each hour after 4 hours the water will be 40 in deep and it will take 8 hours for the water to reach a depth of 80 in

The water rises 10 inches each hour. The water is 4 inches deep is the water after four hours. It will take 8 hours for the water to reach a depth of 80 inches.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

A pipe cracked overnight and started to leak into a basement.

The graph represents the depth (d) of the water over time (t).

As per the given graph, the required solution would be as:

Take two points (1, 10) and (5, 50) in the given graph

The linear function will be :

d - 10 = (50-10)/(5-1)(t - 1)

d - 10 = (40/4)(t - 1)

d = 10(t - 1) + 10

d = 10t - 10 + 10

d = 10t

Here slope of the given function is 10, which means 10 inches the water rise each hour.

The value of time (t) = 4 hr corresponds to the depth of water (d) is

d = 10(4) = 40

So, the water is 40 inches deep is the water after four hours

The value of depth of water (d) = 80 in corresponds to the time (t) is

80 = 10t

t = 80/10 = 8

So, It will take 8 hours for the water to reach a depth of 80 inches

Learn more about the graphs here:

brainly.com/question/16608196

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