A Labrador retriever club has 130 members: 65 black Labs, 44 golden Labs, and 21 chocolate Labs. Pablo is going to perform a chi-square goodness-of-fit test to see if the distribution of Labrador retrievers in the club is the same as the distribution nationally. Pablo is going to test his sample against the following null hypothesis, which reflects the national distribution.If the distribution of Labrador retrievers in the club were to match that of the national average, how many of each type of Labrador retriever would Pablo expect to see in his club?

Answer:

juicy no no square

Step-by-step explanation:

The value of x = z = 73 degrees and y = 107degrees

3) Geometry is a branch of mathematics that deals with the measurement of lines and angles.

From the diagram shown, we can see that the two lines intersect at a point. The following is therefore true:

The sum of z and 107 is supplementary. Hence;

Also, the sum of x and y is also supplementary. This shows that:

From the calculations, hence x = z = 73 degrees and y = 107degrees

Learn more on lines and angles here: https://brainly.com/question/19023162

Answer:

The total cost was $182.91.

Step-by-step explanation:

Tax formula:

tax=tax percentage×amount

Tip formula:

tip=tip percentage×amount

solve

First find the tax. Write 14% as the decimal 0.14 before using it in the equation.

tax

= tax percentage×amount

= 0.14×136.50

= 19.11

The tax was $19.11.

Now find the tip. Write 20% as the decimal 0.20 before using it in the equation.

tip

= tip percentage×amount

= 0.20×136.50

= 27.3

The tip was $27.30.

Finally, find the total cost.

total cost

= cost + tax+tip

= 136.50+19.11+27.30

= 182.91

Answer:

182.91

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

P(5) Represents the probability that the spinner will land on 5 after being spun once. Since 5 is one of three options on the wheel, the probability is 1/3

9514 1404 393

Answer:

  5 and 8

Step-by-step explanation:

Factor pairs that make 40 are ...

  40 = 1×40 = 2×20 = 4×10 = 5×8

The pair that has a sum of 13 is 5 and 8.

Answer:

YES

Step-by-step explanation:

Any straight line can be represented by an equation of the form

Y = mX + b

where m is the slope and b is the Y intercept, so these two equations are lines. The only solution is where the two lines cross, so must satisfy both equations. Plugging in 3 for X and -2 for Y we get

Y = -3X + 7

-2 = -3(3) + 7

-2 = -9 + 7

-2 = -2 True

AND,

Y = 2X - 8

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2 True

So since both are true, yes (3, -2)  is the solution.

Answer:

4 additional days.

Step-by-step explanation:

So the total charge is $575.

It costs $355 for 1 week of use of the van.

1 week is 7 days.

It costs $55 for each extra day of use of the van.

575=55d+355

d is for the unknown extra amount of days.

subtract 355 from both sides

220=55d

divide by 55 on both sides

4=d

So, the Dakotas used the van for 4 additional days. So in total the used the van for 4+7 days.

4+7=11 total days.

But the answer to the question is 4 days, because it specifically ask for additional days.

Answer:

The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.

Step-by-step explanation:

Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. Test if more people are using now.

At the null hypothesis, we test if the same number of people is still using, that is, the mean is 350. So

[tex]H_0: \mu = 350[/tex]

At the alternate hypothesis, we test if this mean increased, that is:

[tex]H_1: \mu > 350[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

350 is tested at the null hypothesis:

This means that [tex]\mu = 350[/tex]

After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25.

This means that [tex]n = 35, X = 405, s = 25[/tex].

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{405 - 350}{\frac{25}{\sqrt{35}}}[/tex]

[tex]t = 13.02[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 405, which is a right-tailed test with t = 13.02 and 35 - 1 = 34 degrees of freedom.

Using a t-distribution calculator, this probability is of 0.

The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.

Step-by-step explanation:

Total amount of cookies= 268

One bag can hold 8 cookies

268 / 8 = 33 (remainder 4)

He can make as many as 33 bags, and there are 4 cookies left over.

Answer:

N=21 Degrees M=122 Degrees L= 37 Degrees X=21 Degrees

Step-by-step explanation:

Add all them up then make them equal 180 degrees

9x-9 = 180

Solve

9x=180 +9

9x= 189

9x/9= 189/9

x=21

Then plug in x to find each Angle.

N (x) Degrees

N=21 Degrees

M = 6x - 4

M = 6(21) - 4

M = 126 - 4

M = 122 Degrees

L = 2x - 5

L = 2(21) -5

L = 42 - 5

L = 37 Degrees

Answer:

1/2^7

Step-by-step explanation:

Answer:

1/2^7

Step-by-step explanation:

Answer:

The volume of the cube is of 729 cubic meters.

Step-by-step explanation:

Volume of a cube:

The volume of a cube with edge length a is given by:

[tex]V = a^3[/tex]

In this question:

The edge length is of 9 meters, so [tex]a = 9[/tex]. The volume, in cubic meters, is:

[tex]V = a^3 = 9^3 = 729[/tex]

The volume of the cube is of 729 cubic meters.

Answer:

Example

Step-by-step explanation:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 3 3 . The equation of a perpendicular line to y=3x−5 y = 3 x - 5 must have a slope that is the negative reciprocal of the original slope.

Answer:

30

Step-by-step explanation:

30/3 = 10

30/10 = 3

30/15 = 2

Hope this helps!

Answer:

1,467.6 cm³

Step-by-step explanation:

Volume of the solid = volume of the rectangular prism - volume of the cylinder

= L*W*H - πr²h

L = 12

W = 10

H = 16

r = ½(6) = 3

h = 16

Plug in the values

Volume of the solid = 12*10*16 - π*3²*16

= 1,920 - 452.40

= 1,467.6 cm³

Answer: 125.6

Step-by-step explanation:

Answer:

B. 5

Step-by-step explanation:

Given expression;

n(n - x) = 25

From the given expression, x = 0

Substitute the value of x into the given equation  and solve for n;

n(n - 0) = 25

this equation reduces to;

n(n) = 25

simplifying further to obtain the value of n;

n² = 25

n = √25

n = 5

Therefore, the correct option is  B.

Answer:

Yes, Billy will have enough money to buy two denim shirts.

Step-by-step explanation:

£9.60 × (1/3)

= £3.20

On the special offer day, a denim shirt will cost £3.20.

£3.20×2 = £6.40

Two shirts will cost £6.40

Billy has £13, which will be enough for him to buy two shirts and will have a remaining balance of £6.60

Answer:

90

Step-by-step explanation:

When you have Triangles, you have to divide your answer by two. So first, Multiply 3 x 5, which is 15. But you need to divide by two, so 15 ÷ 2 is 7.5. Then, Multiply 7.5 x 12, and now you have 90. Hope this helps!

Answer:

1/3

Step-by-step explanation:

there are 4 numbers total that are less than 3 and there are 12 sides total

so 4/12 would be the total and 1/3 would be simplified

Answer:

c. 154 yd²

Step-by-step explanation:

Given

Diameter (d) = 14 yd

radius (r) = 14/2 = 7 yd

Area of the circle

= π r²

= 22 /7 * 7 * 7

= 154 yd²

Answer:

E. 3×3×3×3

part b:

3×3×3×3

9×9

81

Answer:

(-6, 6)

Step-by-step explanation:

Answer:

16. 0.57735

17. −0.707107

18. 0.5

19. 0.5

20. 2.61799387

21.  1.15470053

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It might help to draw a triangle to represent what's going on. See the diagram below.

Let's call the triangle ABC. We'll place point A at the 90 degree angle, so it's at the base of the tower. Place point B where the knight is located. Point C is the location of the window in the tower.

The knight is 15 feet away from the base, meaning AB = 15. With respect to the reference angle (B = 60), side AB = 15 is the adjacent side. The length of the ladder BC is the unknown hypotenuse. We'll call this x for now.

We'll use the cosine rule to connect the adjacent and hypotenuse.

cos(angle) = adjacent/hypotenuse

cos(B) = AB/BC

cos(60) = 15/x

x*cos(60) = 15

x = 15/cos(60)

x = 30

Your calculator needs to be in degree mode.

Because x = 30, we conclude that the ladder needs to be BC = 30 feet long.

Side note: For any special 30-60-90 right triangle, the hypotenuse is always twice as long compared to the shorter leg.

Answer:

0.3L

Step-by-step explanation:

1000mL = 1L

300mL = 0.3L

Answer:

18/26

16/26

16/26

18/26

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

1. 0.002

2. 308%

3. 2 6/10

Answer:

y=mx+b

plug in -6 for y and -4 for x and - for m

-6=-(-4)+b

solve for b

b=-10

set up equation

Answer:

y=-x-10

or

y= -(x+4) - 6

Step-by-step explanation:

Point slope form:

y-y1=m(x-x1)

y+6=-1(x+4)

y= -x - 10