An Austrian study was completed to determine if untrained sea lions and sea lionesses could follow various experimenter-given cues when given a choice of two objects. One experimenter-given cue was to point at one of the objects. One sea lioness, named Zwerg, successfully chose the pointed-at object 37 times out of 48 trials. Does this result show that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time?ââ

Expression as a fraction of 0.7 cm³ for 117 mm³ is given by the fraction 0.117 / 0.7.

To write 117 mm³ as a fraction of 0.7 cm³,

we need to convert the units so they match.

Since there are 10 millimeters in a centimeter

1 cm = 10 mm

This implies,

1 cm³ = (10 mm)³

         = 1000 mm³

Now we can express 117 mm³ as a fraction of 0.7 cm³:

117 mm³ / 0.7 cm³

To convert mm³ to cm³, we divide by 1000,

117 mm³ / 1000 = 0.117 cm³

Now we can express it as a fraction,

0.117 cm³ / 0.7 cm³

Simplifying the fraction, we divide the numerator and the denominator by 0.117,

= (0.117 cm³ / 0.117 cm³) / (0.7 cm³ / 0.117 cm³)

= 1 / (0.7 / 0.117)

To divide by a fraction, we multiply by its reciprocal:

= 1 × (0.117 / 0.7)

= 0.117 / 0.7

Therefore, 117 mm³ is equal to the fraction 0.117 / 0.7 when expressed as a fraction of 0.7 cm³.

Learn more about fraction here

brainly.com/question/10354322

#SPJ4

Let's denote this probability as p, where p represents the probability of a single calculator failing. Therefore, the probability of both calculators failing is given by \(p^2\).

If the failure rate of the second calculator is the same and independent of the first, we can assume that the probability of failure for each calculator remains constant. To determine the probability of both calculators failing, we need to multiply the probabilities of each calculator failing independently. Since the events are independent, we can multiply the individual probabilities together.

Probability of both calculators failing = Probability of first calculator failing * Probability of second calculator failing

= p * p

= \(p^2\)

To learn more about probability click here: https://brainly.com/question/32004014

#SPJ11

Answer:

(2x - 1)(2x + 1)

Step-by-step explanation:

Difference of Squares: (ax + b)(ax - b) = (ax² - b²)

Answer:

4×^2-1=(2× +1)(2× -1)

Step-by-step explanation:

using a^2 - b^2 =(a+b)(a-b)

Answer: -27a³b⁶ + 8a⁹b¹²

Step-by-step explanation:

The transformation between the points is (x, y) = (x, -y + 10)

From the question, we have the following parameters that can be used in our computation:

G(9, 12), H(−2, −15), J(3, 8) and

G'(9, -2), H'(-2, 25), J'(3, 2)

We can see that the x coordinates of the image and the preimage are equal

However, the relationship between the y-coordinates is

y' = -y + 10

This means that

(x, y) = (x, -y + 10)

The above rule is a translation transformation

Translation transformation is a transformation that moves each point in a figure or object by a fixed distance in a specified direction.

Hence, the transformation is (x, y) = (x, -y + 10)

Read more about transformation at

https://brainly.com/question/4289712

#SPJ1

Complete question

26. G(9, 12), H(−2, −15), J(3, 8) and G'(9, -2), H'(-2, 25), J'(3, 2)

Write out the transformation rule from GHJ to G'H'J'

The taxi ride was 13 miles long.

The equation to determine the number of miles in the taxi ride is: 3.80 + 2.25m = 33.05

To solve this equation, we need to isolate the variable m. We can do this by subtracting 3.80 from both sides of the equation, which gives us: 2.25m = 29.25

We can then divide both sides of the equation by 2.25 to find the value of m: m = 13

This means that the taxi ride was 13 miles long. To confirm that this is the correct solution, we can substitute 13 for m in the original equation and see if it results in a true statement. 3.80 + 2.25(13) = 3.80 + 28.25 = 33.05, which is equal to the total fare, so our solution is correct.

To learn more about the variable, visit:

brainly.com/question/29696241

#SPJ4

When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

for such more question on simplified

https://brainly.com/question/11680269

#SPJ8

Answer:

if you want ans area of cylider is 2πrh+2πr2

Step-by-step explanation:

need thanks and make me brainiest if it helps you

Answer:

2,391 paid altogether. The interest Rate was another 391 dollars.

Step-by-step explanation:

Answer:

Juan wrapped n gifts.

Kala wrapped 6n gifts. (because she wrapped 6 times as many gifts as Juan)

Kala wrapped 48 gifts in total (as stated in the problem)

So, 6n = 48

n = 8 (by dividing both sides by 6)

So, Juan wrapped 8 gifts.

Answer:

8 gifts.

Step-by-step explanation:

If Juan wrapped n gifts, then Kala wrapped 6n gifts because Kala wrapped 6 times as many gifts as Juan.

And we know that Kala wrapped 48 gifts, so we can set up an equation:

6n = 48

To find the number of gifts Juan wrapped, we can divide both sides of the equation by 6:

n = 48/6

n = 8

So Juan wrapped 8 gifts.

The variance of the weights of the 10 subjects is 158.6527 kg^2.

The variance of a sample data measures how spread out the individual values are from the mean. To calculate the variance, you need to square the standard deviation.
Given that the standard deviation of the weights of the 10 subjects is 12.5915 kg, we can calculate the variance using the following steps:
1. Square the standard deviation:
  Variance = Standard deviation^2
  Therefore, Variance = 12.5915^2 = 158.6527 kg^2
So, the variance of the weights of the 10 subjects is 158.6527 kg^2.

Learn more about variance :

https://brainly.com/question/13708253

#SPJ11

Answer:

1) y = 3x+5

2) y =  \(\frac{1}{2}x-4\)

3) y = -x + 0

4) y = \(-\frac{5}{3}x+8\)

5) y = \(\frac{3}{5} x - 7\)

Step-by-step explanation:

y = mx+b

In slope-intercept form, these are important to know:

- y and x should stay as variables

- m = slope of the line

- b = y intercept

Using the facts above⬆, we can solve these problems

Remember: Substitute m and b using the given information

1) y = 3x+5

2) y =  \(\frac{1}{2}x-4\)

3) y = -x + 0

4) y = \(-\frac{5}{3}x+8\)

5) y = \(\frac{3}{5} x - 7\)

Hope this helps :)

Have a great day!

Answer:

480 - 96x = 0, so x = 5.

Domain: [0, 5]

Range: [0, 480]

The sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.

A paired data test or sampling is used when the researcher is interested in the difference between two variables for the same subject.

For instance, in this experiment, the researcher wants to find the satisfaction level of the volunteers who used the shampoo and conditioner separately or combined.

Thus, the sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.

Learn more about paired data at https://brainly.com/question/17438514

#SPJ1

\( \bf \implies{m \angle{EHF} = 31 \degree}\)

\( \bigg( \bf \angle{DHE} \: and \: \angle{EHF} \: are \: \\ \bf{complementary \: angles} \bigg)\)

\({ \bf \longrightarrow{m \angle{EHF} = \: ? }}\)

We know that,

\( \bf \longrightarrow{6x - 1+ 3x + 1 = 90 \degree}\)

\( \bf \longrightarrow{6x \cancel{- 1} + 3x \cancel{+ 1 }= 90 \degree}\)

\( \bf \longrightarrow{6x + 3x = 90 \degree}\)

\( \bf \longrightarrow{9x = 90 \degree}\)

\( \bf \longrightarrow{x = \frac{ \cancel{90} \degree}{ \cancel{9}} }10 \degree\)

\( \bf \longrightarrow{x = 10 \degree}\)

\({ \bf \longrightarrow{m \angle{EHF} = \: 3 \times 10 \degree + 1 \mapsto31 \degree }}\)

\( \bf \longrightarrow{m \angle{EHF} = 31 \degree}\)

Answer:

Step-by-step explanation: i Show you every step in the picture i just sent

Answer:

Step-by-step explanation: I don't know how to work on this

Here the diameter = dm

Formula of circumference for circle: 2πr  or  πd

                                        where "d" is diameter and "r" is radius

For this question:

circumference:

Answer:

x = 61°

Step-by-step explanation:

x and 61° are alternate exterior angles and are congruent, thus

x = 61°

Answer:

X=61.

Step-by-step explanation:

✍✍✍✍✍✍✍

Answer:

A

Step-by-step explanation:

The area of the large triangle is 36*24/2

minus the small triangle which is 21*14/2

so 432-147 = 285

The coordinate of point P is (-5,5).

It is given that AB has endpoint A(-8,7) and B(7,-3) also P is the point partitioning AB in the ratio 1:4.

We have to find the coordinates of P.

So distance in x-coordinate between A and B is,

ABx = 7 - (-8) = 15 units

distance in y-coordinates between A and B is,

ABy = -3 - 7 = -10 units

Now the point P partitioning AB in the ratio 1:4

i.e \(\frac{AP}{AB}\) = \(\frac{1}{1+4}\)

\(\frac{AP}{AB}\) = \(\frac{1}{5}\)

we will find x-coordinate of point P

⇒ \(\frac{APx}{ABx}\)  = \(\frac{1}{5}\)

⇒ \(\frac{APx}{15}\) = \(\frac{1}{5}\)

⇒ APx = 3

Therefore the x-coordinates of P is

Px = Ax + APx

⇒ Px = -8 + 3 = - 5

And y-coordinate of pint P is,

\(\frac{APy}{ABy}\) = \(\frac{1}{5}\)

\(\frac{APy}{-10}\) = \(\frac{1}{5}\)

APy = -2

i.e Py = APy + Ay

         = -2 + 7

   Py = 5

Therefore the coordinate of point y is (-5,5).

To know more about coordinate here

https://brainly.com/question/14780868

#SPJ4

When the population starts out with 8 people and triples, it will take 5 years to reach 1,944.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

Initial population=8

Final population=1944

Rate of increment=3ˣ

1944=8*3ˣ

1944/8=3ˣ

243=3ˣ

3ˣ=3⁵

x=5

It will take 5 years for the population to reach 1,944 when started with with the population of 8 and increase by 3ˣ.

To know more about equation,

https://brainly.com/question/12423372

#SPJ4

Probability of

=0.0403.

The probability that exactly two of the 14 students selected with replacement will wear wrist watches is 3/30 * 2/29 * 27/28 * 26/27 = 0.0437.

The probability that exactly two of the 14 students selected without replacement will wear wrist watches is 3/30 * 2/29 * 26/28 * 25/27 = 0.0403.

Learn more about probability

brainly.com/question/28336521

#SPJ11

The line integral of f(x²dx + y²dy) along the path C, which consists of the arc of a circle from (3,0) to (0,3) followed by a line segment from (0,3) to (5,4), is equal to 41/2.

To evaluate the line integral over the arc of the circle, we parametrize the arc as r(t) = (3cos(t), 3sin(t)) with t ranging from π/2 to 0. By substituting this parameterization into the line integral expression ∫[π/2 to 0] f(x²dx + y²dy), we can calculate the contribution of the arc to the overall line integral. Using the given function f(x²dx + y²dy), we obtain ∫[π/2 to 0] f(9cos²(t)(-3sin(t)dt) + 9sin²(t)(3cos(t)dt).

Next, we evaluate the line integral over the line segment. We parametrize the line segment as r(t) = (5t, 3 + t) with t ranging from 0 to 1. Substituting this parameterization into the line integral expression ∫[0 to 1] f(x²dx + y²dy), we can determine the contribution of the line segment to the overall line integral. Using the function f(x²dx + y²dy), we have ∫[0 to 1] f((5t)²dt + (3 + t)²dt).

By evaluating both integrals separately and summing up their results, we find the total line integral along the given path C. In this case, the line integral evaluates to the value of 41/2.

To learn more about line integral click here:

brainly.com/question/32250032

#SPJ11

Answer:

x = 69

Step-by-step explanation:

since AB is parallel to CD we can find the value of y with the following equation :

2y - 40 = 66 add 40 to both sides

2y = 110 divide both sides by 2

y = 55

from supplementary angles, we know that the exterior angle's measure is 124

since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

y + x = 124 we found value of y earlier

55 + x = 124 subtract 55 from both sides

x = 69

The proportion of mortgage payments between $700 and $3100 is 99.7%

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

The z score is used for a normal distribution to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean) / standard deviation

Given that mean = $1900, standard deviation = $400. Hence:

For 700:

z = (700 - 1900)/400 = -3

For 3100:

z = (3100 - 1900) / 400 = 3

P(700 < x < 3100) = P(3 < z < 3) = P(z < 3) - P(z < -3) = 0.9987 - 0.0134 = 0.997 = 99.7%

99.7% of the mortgage payments are between $700 and $3100

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The simplified expression is 9. To simplify the expression -15/-5 - 36/-12 + -12/-4, we can start by simplifying each individual fraction. -15/-5 simplifies to 3, 36/-12 simplifies to -3, and -12/-4 simplifies to 3.

Let's simplify each fraction individually:

-15/-5 = 3 (When dividing negative numbers, the negative signs cancel out.)

36/-12 = -3 (Dividing 36 by -12 gives us -3.)

-12/-4 = 3 (Dividing -12 by -4 gives us 3.)

Now, substituting these simplified fractions back into the original expression, we have:

3 - (-3) + 3

Since the negative sign before -3 is equivalent to adding a positive, we can simplify this to:

3 + 3 + 3

Adding the values together, we get:

9

Learn more about fraction here : brainly.com/question/10708469

#SPJ11

If $8000 is invested at 8% compounded continuously, the amount 8 years is $12,904.95.

To find out how long it will take $3,000 to grow to $20,000 if it is invested at 4% compounded monthly, we can use the formula A=P(1+r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the given values, we get:

20,000=3,000(1+0.04/12)^(12t)

Dividing both sides by 3,000, we get:

6.66667=(1+0.04/12)^(12t)

Taking the natural logarithm of both sides, we get:

ln(6.66667)=12t*ln(1+0.04/12)

Solving for t, we get:

t=ln(6.66667)/(12*ln(1+0.04/12))

t=41.2 years

So it will take approximately 41.2 years for $3,000 to grow to $20,000 if it is invested at 4% compounded monthly.

To find out the amount of $8,000 invested at 8% compounded continuously for 8 years, we can use the formula A=Pe^(rt), where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the number of years. Plugging in the given values, we get:


A=8,000e^⁰ ⁶⁴

A=12,904.95

So the amount of $8,000 invested at 8% compounded continuously for 8 years is $12,904.95.

For more information on invest visit:

brainly.com/question/25296782

#SPJ4