At the Lincoln County Animal Shelter, there are currently 6 dogs and 4 cats. Write the ratio of cats to dogs in simplest form as a fraction.

Step-by-step explanation:

the one is the middle top the one in the middle bottom and the one in the bottom right

Testing the hypothesis, it is found that:

At the null hypothesis, we test if the proportion of stocks that went up is of 0.3, that is:

[tex]H_0: p = 0.3[/tex]

At the alternative hypothesis, we test if the proportion is significantly more than 0.3, that is:

[tex]H_1: p > 0.3[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are:

[tex]p = 0.3, n = 69, \overline{p} = \frac{31}{69} = 0.4493[/tex]

The value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.4493 - 0.3}{\sqrt{\frac{0.3(0.7)}{69}}}[/tex]

[tex]z = 2.71[/tex]

The test statistic is 2.71.

The p-value is the probability of finding a sample proportion of 0.4493 or above, hence, it is 1 subtracted by the p-value of z = 2.71.

Looking at the z-table, z = 2.71 has a p-value of 0.9966.

1 - 0.9966 = 0.0034

The p-value is 0.0034.

Which is less than [tex]\alpha[/tex], and then the test statistic leads to a decision to reject the null hypothesis, and thus:

The sample data support the claim that the proportion of stocks that went up is more than 0.3.

A similar problem is given at https://brainly.com/question/25413788

Answer:

It would be a tie

Step-by-step explanation:

Skeir 1 in 5000 feet would go 45 seconds.

Skier 2 in 5000 feet would go 50 seconds

If skier 1 lets skeir 2 have a head start, then it means that that it would be 50-5, which would be 45.

Answer:

A

Step-by-step explanation:

the ratio shows that for every two songs beth's mom has, beth has one more.

*3 is larger than 2 by 1

meaning, if her mom has 6 songs, then she will have 7

if Beth has 12 songs, her mom would have one less, 11

The rational form of a ratio is the ratio represented as a fraction (or quotient)

The rational form of the ratio a : b is a/b

The ratio is given as a : b (pronounced a ratio b)

This is properly represented as:

[tex]\mathbf{Ratio = a : b}[/tex]

To convert to rational form, means that we express the ratio as a fraction.

So, the ratio becomes

[tex]\mathbf{Ratio = \frac a b}[/tex] (pronounced a divided by b)

Hence, the rational form of the ratio a : b is a/b

Read more about rational forms at:

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Answer:

70°

Step-by-step explanation:

Since  PTS shape is equal to QTR

and  PTQ shape is equal to STR

and Since QTP = 10

and Since  PTS = 60

Add both up 70

Therefore PQR = 70°

Answer:

1/16

Step-by-step explanation:

3/4 ÷ 12

3/4 x 1/12

3/48 or 1/16

Hope this helps!

Answer:

1/16

Step-by-step explanation:

recipe uses 3/4 cup of sugar for one dozen cookies

3/4 cup ------ 12 cookies

x          -------  1 cookie

x * 12 = 3/4

x = 3/4 / 12

x = 3 / (4*12)

x = 1 / 4*4

x = 1/16

Answer:

The right answer is 32

Step-by-step explanation:

3/4 × 32 = 24

Answer:

18

Step-by-step explanation:

divide 24 by 4 which gives you 6. Multiply 6 by 3 which gives you 18 or (3÷4) × 24 = 18

Answer:

x = 4

Step-by-step explanation:

(b)

[tex]\frac{2x+1}{3}[/tex] = 5 - [tex]\frac{1}{2}[/tex] x

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 1) = 30 - 3x , distribute parenthesis on left side

4x + 2 = 30 - 3x ( add 3x to both sides )

7x + 2 = 30 ( subtract 2 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Answer:

20 miles

Step-by-step explanation:

Answer:

f(x) = - x - 5

Step-by-step explanation:

- x - y = 5 ( multiply through by - 1 )

x + y = - 5 ( subtract x from both sides )

y = - x - 5 , that is

f(x) = - x - 5

Based on the information given, the amount of money that Mary will spend more for the headband will be $1.

Since Julie spent $15 on 3 headbands, the amount per headband will be:

= $15/3 = $5

Since Mary spent $48 on 8 headbands, the amount per headband will be:

= $48/8 = $6

Therefore, we can then calculate the difference between the values that are gotten. This will be:

= $6 - $5 = $1

Therefore, the difference is $1.

Learn more about division on:

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Answer:

r = 5q / (p + 10)

Step-by-step explanation:

p = 5(q - 2r)/r

multiply both sides by r

pr = 5(q - 2r)

distribute

pr = 5q  - 10r

add 10r to both sides

pr + 10r = 5q

Factor out r

r(p + 10) = 5q

divide both sides by p + 10

r = 5q / (p + 10)

Answer:

B

Step-by-step explanation:

In a function, every x-coordinate must be a different number.

If the same number appears more than once as an x-coordinate, it is not a function.

Answer: B

[tex]-2(-4)\cdot 8 (-1)\\\\=8 \cdot (-8)\\\\=-64\\\\\text{This one is negative.}[/tex]

Answer:

i dont think so...

Step-by-step explanation:

314864

Answer:

314,864 is the product.

Step-by-step explanation:

176 x 1,789= 314,864

Answer:

1=137 2=43 3=137 4=43 5=137 6=43

Step-by-step explanation:

Answer:

If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:

a.

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)  

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)  

y = √(61 - 25)  

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

b.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

Learn more about vectors here:

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Answer:

first one is 6.0 and the second is 130

Step-by-step explanation:

Using the plot, it is found that there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.

When y = 1,000, we have that x = 10%, hence, there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.

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Answer:

The length of side b is 80.

If the repayment on a loan was Php 23600, the principal amount is equal to Php 131,111.11.

Given the following data:

Conversion:

12 months = 1 year

18 months = 1.5 year

To calculate the principal amount if the interest rate is 12% a year:

Mathematically, simple interest is given by the formula:

[tex]S.I = \frac{PRT}{100}[/tex]

Where:

Making P the subject of formula, we have:

[tex]P = \frac{100S.I}{RT}[/tex]

Substituting the given parameters into the formula, we have;

[tex]P = \frac{100 \times 23600}{12 \times 1.5}\\\\P = \frac{2360000}{18}[/tex]

Principal amount, P = Php 131,111.11

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Answer:

Step-by-step explanation:

AT LEAST 9

Millie's account will be above $750 for weeks greater than 9.

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, Millie has a bank account balance of $1,497. Each week, her balance changes by - $83. She wants to keep the balance above $750.

Establishing an inequality,

750 > 1497 - 83x

Where, x is the number of weeks.

On solving, we get,

747 > 83x

x < 9

Hence, Millie's account will be above $750 for weeks greater than 9.

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#SPJ1

Step-by-step explanation:

19x - 4 = 110 ( alternate Exterior angle )

→ 19x = 110 + 4 = 114

→ x = 114/19

→ x = 6

therefore, value of x is 6°.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

1x

Step-by-step explanation:

6(3x-1-2x)=(2x-5-8)

Expand expression 1 : 18x-6-12x

18x-6-12x=2x-5-8

Collect like terms

18x-12x-2x= -5-8+6

4x= -7

x= -4/7

Answer:

145000

Step-by-step explanation:

(150000-140000)÷2=10000÷2

                                =5000

140000+5000=145000

Answer:

145,000

Step-by-step explanation:

To find halfway between two numbers is the same as finding the mean of two numbers.

140,000+150,000=290,000

290,000/2

=145,000

Hope this helps :)

Answer:

[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]

Step-by-step explanation:

Given the two points from the graph, (-3, 1) and (1, -2). Use these points to solve for the slope using the following formula:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

Let (x₁, y₁) = (-3, 1)

     (x₂, y₂) = (1, -2)

Substitute these points into the formula:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {-2\: -\: 1}{1\: -\: (-3)}\:=\:\frac {-2\: -\: 1}{1\: +\:3}\:=\frac{-3}{4}}[/tex]

m = -¾

Therefore, the slope of the given line is -¾.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis.  In order to solve for the y-intercept, we must use the slope, m = -¾, and one of the given points, (1, -2), and substitute these values into the slope-intercept form,  f(x) = mx + b:

f(x) = mx + b

-2 = -¾( 1 ) + b

-2 = -¾ + b

Add ¾ to both sides to solve for b:

-2 + ¾ = -¾ + ¾ + b

[tex]\LARGE\mathsf{y-intercept\:(b)\:=\:-\frac{5}{4} }[/tex]

Given the slope, m = -¾, and y-intercept, b = [tex]\LARGE\mathsf{-\frac{5}{4}}[/tex], the equation of the line in function notation is:

[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]

Answer:

X= 6

Step-by-step explanation:

Answer:

X = 6

Step-by-step explanation:

(4/x - 3) + (2/x + 2) = 0

--> Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

4+x(−3)+2+x×2=0

--> Add 4 and 2 to get 6.

6+x(−3)+x×2=0

--> Combine x(−3) and x×2 to get −x.

6−x=0

--> Subtract 6 from both sides. Anything subtracted from zero gives its negation.

−x=−6

--> Multiply both sides by −1.

Thus, the answer is X =6

Hope this helps you!