A study selected independent random samples of 50 dogs and 60 cats and found that 38 of the dogs and 15 of the cats could be trained to fetch a ball.

Do these data provide convincing evidence that the proportion of all dogs that can be trained to fetch a ball is greater than the proportion of all cats that can be trained to fetch a ball?

Use Alpha = 0.05.

Select all statements that are correct.

We have two independent random samples.
We have two groups in a randomized comparative experiment.
The 10% condition is met.
The 10% condition does not apply.
The expected number of successes and failures for both samples are 38, 12, 15, 45.
The expected number of successes and failures for both samples are 24, 26, 29, 31.

Answer: Congruent by AAS

Step-by-step explanation:

FG and EH are congruent because they are given.

EH is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.

FG is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.

Angle G is congruent to Angle E because they are both right angles, and right angles are congruent.

Angle EIH and Angle FIG are congruent because of the vertical angles theorem.

Triangle EHI and Triangle GFI are congruent by the Angle-Angle-Side Theorem, or AAS.

an equation to model this situation is 200 = x+ 2 *t and 220 pounds is  his total weight after 30 weeks

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

x  initial weight of John

weight gained 1 week = 2 pounds

no. of weeks = 20=t

Final weight of John = 200 pounds

200 = x+ 2 *t ---------(1)

no. of weeks = 20=t

From eq(1)

x = 160 pounds= intial weight

So,

[tex]y = 160+ 2 *t\\y = 160 + 2X 30\\y= 160+ 60\\y = 220 pounds[/tex]

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Answer:

[tex]speed = \frac{distance}{time} \\ = \frac{3}{( \frac{30}{60} )} \\ = 3 \times 2 \\ = 6 \: miles \: per \: hour[/tex]

Neglecting the fractional points and taking the whole number values for volume, the probability of getting equivalence point at 100 ml is 1/10. The probability of getting less than 100 ml is 1/2.

The probability is the measurement of the chance of an event to happen. It is determined based on the total possibilities and criteria.

Given that the experiment trials got the values from 95 to 104. From 95 to 104, there are 10 numbers. Thus, the volume of the acid can be any of these 10.

Thus, total possibility = 10.

probability of getting 100 = 1/10

There are 5 volumes which are  less than 100 here,  [95, 99]. Thus, the probability = 5/10 = 1/2.

There are 5 values between 98 and 102 including these two values.

Hence, probability of getting these range  = 5/10 = 1/2.

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Answer:

b is a polynomial

Step-by-step explanation:

[tex]f(x) = {x}^{3} - 11 {x}^{2} + {3}^{x} [/tex]

Answer:

you are correct, it is all of the above

Answer:

-132

Step-by-step explanation:

Split the summation to make the starting value of  

k equal to 1.

Answer:S6 = - 132

Step-by-step explanation:

The sample space when choosing one marble will be B s=(purple, pink, red, blue, green, orange, yellow}

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample space may contain a variety of outcomes.

A paper bag has seven colored marbles. The marbles are pink, red, green, blue, purple, yellow, and orange. The sample space when choosing one marble will be all the colors. The correct option is B.

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Answer:

1/8 pound per person

Step-by-step explanation:

Answer:

1st question :55%

2nd ":122.22%

3rd ":81.82%

Answer:

30

Step-by-step explanation:

49-31+12= 30

___________

Answer:

Step-by-step explanation:

The Length of shadow  is 35.56 ft.

Given that,

If the sun is 68° above the horizon.

Based on the above information, the calculation is as follows:

tan68° =BC divide AC

tan68° =88 divide b

b =88 divide tan68°

=88 divide 2.475

= 35.56 ft.

Answer:

B. 0.20 per century

Step-by-step explanation:

I calculated it logically

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- \cfrac{3}{4}}(x-\stackrel{x_1}{(-4)}) \implies y +4= -\cfrac{3}{4} (x +4) \\\\\\ y+4=-\cfrac{3}{4}x-3\implies {\Large \begin{array}{llll} y=-\cfrac{3}{4}x-7 \end{array}}[/tex]

Answer:

y = -3/4x - 7

Step-by-step explanation:

Given: slope = m = -3/4

Plug this value into the standard slope-intercept equation of y = mx + b.

y = -3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, point (-4, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -3/4(-4) + b

To find b, multiply the slope and the input of x(-4)

-4 = 3 + b

Now, subtract 3 from both sides to isolate b.

-7 = b

Plug this into your standard equation.

y = -3/4x - 7

This is your equation.

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Answer:

[tex]y = 0.75x - 6[/tex]

Step-by-step explanation:

Given

Parallel to:

[tex]y = 0.75x[/tex]

Passes through

[tex](8,0)[/tex]

Required

The equation

The slope intercept form of an equation is:

[tex]y = mx + b[/tex]

Where:

[tex]m \to[/tex] slope

So, by comparison:

[tex]m = 0.75[/tex]

For a line parallel to [tex]y = 0.75x[/tex], it means they have the same slope of:

[tex]m = 0.75[/tex]

The equation of the line is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

Where:

[tex]m = 0.75[/tex]

[tex](x_1,y_1) = (8,0)[/tex]

So, we have:

[tex]y = 0.75(x - 8) + 0[/tex]

Open bracket

[tex]y = 0.75x - 6 + 0[/tex]

[tex]y = 0.75x - 6[/tex]

Answer:

Lateral Area of a Cylinder = 2πrh

=2π x 3 x 6

=36π

Option D

Answer:

The shopper can but 12 jackets.

Step-by-step explanation:

80*.6 (100% - 40% = paying 60% or .6) = 48

576 / 48 = 12

Here we have a problem of percentage discounts, such that we need to find how much a given price decreases, and how many jackets we can buy considering the decreased price.

We will find that the number is 12.

Now let's see how we can get that result:

If something has an original price P, and we discount an x% of that price, the new price will be:

[tex]np = P\cdot(1 - x\%/100\%)[/tex]

Here we know that the regular price of a jacket is $80

And we have a discount of 40%

This means that the new price of these jackets will be:

[tex]np = \$80\cdot (1 - 40\%/100\%) = \$80\cdot (1 - 0.4) = \$80\cdot 0.6 = \$48[/tex]

Now we want to know how many of these jackets we can buy with $576

This will be equal to the quotient between the money we have and the new price of each jacket:

[tex]N = \$576/\$48 = 12[/tex]

This means that we can buy exactly 12 jackets at the sale.

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Answer:

-134/4

Step-by-step explanation:

It equals -33.75.

Answer:

Explanation:

90 × (-3/4) = -135/2

-135/2 × (-3/4) = 405/8

405/8 × (-3/4) = -1215/32

Step-by-step explanation:

as the description says, the higher the ratio the better.

9/10 = 0.9

12/15 = 4/5 = 0.8

so, Tasha has the better batting average, as she has the higher ratio.

9/10 = 27/30

12/15 = 24/30

27/30 is higher than 24/30.

Answer:

1357.17 inches³

Step-by-step explanation:

Answer:

Step-by-step explanation:

If this not right I am sorry I got 1357.17 the radius is 9in the height is 16 in

Sorry if I am not right

The total amount of interest you will have to pay is $21,849.92. As a result, choice A is accurate.

Compound monthly is the term used to describe a loan's interest rate, which is added to the principle each month and charged in installments. For instance, a $1,000 loan with a 12% annual interest rate compounded monthly would become $1,010 after the first month if the interest rate was 1%.

Monthly compounding is calculated by multiplying the principal amount by one plus the interest rate by the number of periods, raised to the power of the number of periods. This quantity is subtracted from the principal amount to determine the interest amount.

Thus;

[tex]Interest = 44,500(1 + 0.1311/100)^{6.5} \\= $21,849.92[/tex]

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A recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

A shade of green paint is made by mixing `2` cups of yellow with `3.5` cups of blue.

Now,

2 Cups of Yellow + 3.5 Cups of blue

Multiply all by 2

=4 Cups of Yellow + 7 Cups of Blue

Hence,  a recipe for a mixture that will make the same shade of green but a larger amount is =4 Cups of Yellow + 7 Cups of Blue

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Answer:

45 degree , bc the ends are all 90 degree so divide 90 by two since the line crosses right in between

Answer:

45°

That looks like an Isosceles triangle so two sides are equal

The angle near O would be 90° cause that looks like an right angle

180-90=90

To find each angle divide by 2

90÷2=45

Answer:

research it many my answer will be wrong

3

Step-by-step explanation:

-3 square is 9, adding 3 you will have 12. 10-6 is 4. so dividing 12 by 4 would give you 3.

Answer:

The probability that A occurs given that B occurred is 333/400, that is, 83.25%.

Step-by-step explanation:

Since in an experiment, the probability that event A occurs is 6/7, the probability that event B occurs is 4/5, and the probability that event A and B both occur is 2/3, to determine what is the probability that A occurs given that B occurs the following calculation must be performed:

4/5 = 0.8

2/3 = 0.666

0.8 x X = 0.666

X = 0.666 / 0.8

X = 0.8325

0.8325 = 333/400

Therefore, the probability that A occurs given that B occurred is 333/400, that is, 83.25%.

The graph also shows two other local maxima, at x=0.5 and x=1.5.

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Answer:

To solve this problem, we can set up the following equation:

Huilan's age + Thomas's age = 79

Let H be Huilan's age and T be Thomas's age. We can then rewrite the equation as:

H + T = 79

We are told that Huilan is 7 years older than Thomas, so we can write the following equation:

H = T + 7

Substituting the second equation into the first equation, we get:

(T + 7) + T = 79

Combining like terms, we get:

2T + 7 = 79

Subtracting 7 from both sides, we get:

2T = 72

Dividing both sides by 2, we get:

T = 36

Therefore, Thomas's age is 36 years.

Step-by-step explanation:

Answer:

let Thomas age be a

there fore, hullans age is a+7

(a+7)+a=79

2a=79-7

2a=72

a=36