True or false: when you combine zero with the set of natural numbers, you get the set of whole numbers

Answer:

360-140-80=140

So 140 degrees is the answer

Answer:

The answer is 140%

Step-by-step explanation:

Give me brainlest please

The probability that the student chosen will be a boy who watched tennis yesterday is 1/8.

Given that 56 students were asked if they watched tennis yesterday, 20 of the students are boys, 17 girls watched tennis yesterday and 32 students did not watch tennis yesterday and out of all these one students is to be chosen at random.

We have to find the probability that the student chosen will be a boy who watched tennis yesterday.

Total number of students is 56.

The total number of girls is 56-20=36

Girls who didn't watch tennis is 36-17=19

Number of the boys who did not watch the game is 32-19=13

Number of boys watching a tennis match is 20-13=7

Now, we will find the probability that the student chosen will be a boy who watched tennis yesterday.

Probability=Number of boys watching a tennis match/Total number of students
Probability=7/56

Probability=1/8

Hence, the probability that the student chosen will be a boy who watched tennis yesterday when 56 students were asked if they watched tennis yesterday is 1/8.

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Answer:

14 ft

Step-by-step explanation:

50= 2x + 2(x+3)

50= 2x+2x+6

50=4x+6

-6        -6

44=4x

4     4

x=11 (width) +3 =14(length)  

11+11=22   14+14=28     22+28=50

The distance between the point (-2, 8, 1) and the line of intersection between the two planes is sqrt(82/3) or approximately 5.15 units.

To compute the distance between a point and a line in 3D space, we can use the formula derived from vector projections.

First, we need to find a vector that lies on the line of intersection between the two planes. To do this, we can solve the system of equations formed by the two plane equations:

X + y + z = 3

5x + 2y + 32 = 8

By solving this system, we find that x = -1, y = 2, and z = 2. So, a point on the line of intersection is (-1, 2, 2), and a vector in the direction of the line is given by the coefficients of x, y, and z in the plane equations, which are (1, 1, -1).

Next, we find a vector connecting the given point (-2, 8, 1) to the point on the line of intersection. This vector is given by (-2 – (-1), 8 – 2, 1 – 2) = (-1, 6, -1).

To calculate the distance, we project the connecting vector onto the direction vector of the line. The distance is the magnitude of the component of the connecting vector that is perpendicular to the line. Using the formula:

Distance = |(connecting vector) – (projection of connecting vector onto line direction)|

We obtain:

Distance = |(-1, 6, -1) – [(1, 1, -1) dot (-1, 6, -1)]/(1^2 + 1^2 + (-1)^2)(1, 1, -1)|

         = |(-1, 6, -1) – (4)/(3)(1, 1, -1)|

         = |(-1, 6, -1) – (4/3)(1, 1, -1)|

         = |(-1, 6, -1) – (4/3, 4/3, -4/3)|

         = |(-1 – 4/3, 6 – 4/3, -1 + 4/3)|

         = |(-7/3, 14/3, -1/3)|

         = sqrt[(-7/3)^2 + (14/3)^2 + (-1/3)^2]

         = sqrt[49/9 + 196/9 + 1/9]

         = sqrt[246/9]

         = sqrt(82/3)

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Answer:

3 times greater

Step-by-step explanation:

To find out how many times greater the population of Chicago is than Austin, we can divide the population of Chicago by the population of Austin:

Population of Chicago / Population of Austin = 2,720,546 / 900,000

Simplifying the expression by dividing both the numerator and denominator by 100,000, we get:

Population of Chicago / Population of Austin = 27.20546 / 9

Dividing these numbers, we get:

Population of Chicago / Population of Austin = 3.022838

Therefore, the population of Chicago is about 3 times greater than the population of Austin.

Answer:Surface area of a rectangular prism is 2LW+2LH+2WH

Surface area is 82 sq. in

Step-by-step explanation:

The solutions for the systems of inequalities are:

a) (0, -100), (0, -150), (0, -1000)

b)  (0, 50), (0, 55) , (0, 1,204).

When we have a system of inequalities, a solution is a point that solves both ienqualities at the same time.

The first one is:

y ≤ x - 8

y < -3x - 9

Here y must be smaller than x, then we can define x like x = 0, and really small values for y, like y = -100, replacing that we will get:

-100  ≤ 0 - 8 = -8

-100 < - 3*0 - 9 = -9

Both of these are true, so (0, -100) is a solution, and trivially, (0, -150) and (0, -1000) are other two solutions.

For the second system:

y > 5x + 1

y > 3

Let's do the same thing, x = 0 and y gets really large values, like y = 50

50 > 5*0 + 1 = 1  this is true.

50 > 3   this is true.

so (0, 50) is a solution, and also are (0, 55) and (0, 1,204).

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Answer:

f( -2) = 11

g(5) = - 18

Step-by-step explanation:

We're given a function "f" such that when it accepts a variable x, it's output, f(x), is:

\( \boxed{ \mathsf{f(x) = - 2 {x}^{3} - 5}}\)

The value of f(x) depends upon what value of x is being inserted.

If x = -2

All the places taken by x will be given to -2

\( \implies \mathsf{f( - 2) = - 2( { - 2}^{3} )- 5 }\)

(-2)³ is the cube of (-2) with -8 as it's result

\( \implies \mathsf{f( - 2) = - 2( { - 8}^{} )- 5 }\)

when there's no operating sign between two numbers from different origin, they're multiplied

\( \implies \mathsf{f( - 2) = 16 - 5 }\)

\( \implies \mathsf{f( - 2) = 11 }\)

That gives us the value of f(-2) :

11

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Here's another function, "g", taking x as input and giving us an output g(x), such that:

\( \boxed{ \mathsf{g(x) = - 4x + 2}}\)

If x = 5

All the positions taken by x will be given to 5:

\( \implies \mathsf{g(5) = - 4(5) + 2}\)

no sign between two numbers from different origin results in their product.

\( \implies \mathsf{g(5) = - 20+ 2}\)

\( \implies \mathsf{g(5) = - 18}\)

Thus, the value of g(5) is:

-18

Answer:

16

Step-by-step explanation:

I had this on my test and got correct

We want to find the probability that exactly two orangutans will survive, so k = 2.

P(X = 2) = \((n~choose~2) * 0.20^2 * (1 - 0.20)^(^n^-^2^)\)

To calculate the probability that exactly two orangutans will survive, we need to use the binomial probability formula.

The formula for the probability of exactly k successes in n independent Bernoulli trials is:

P(X = k) = \((n choose k) * p^k * (1 - p)^(n - k)\)

Where:

P(X = k) is the probability of getting exactly k successes.

(n choose k) represents the number of ways to choose k successes from n trials and is calculated as \(\frac{n!}{k!(n-k)!}\)

p is the probability of success on a single trial.

(1 - p) is the probability of failure on a single trial.

n is the total number of trials.

In this case, let's assume there are a total of n orangutans at the zoo, and the probability of an orangutan surviving is 0.20 (since the probability of dying is 0.80).

We want to find the probability that exactly two orangutans will survive, so k = 2.

P(X = 2) = \((n~choose~2) * 0.20^2 * (1 - 0.20)^(^n^-^2^)\)

However, since you haven't provided the total number of orangutans (n), it is not possible to calculate the exact probability. Please provide the total number of orangutans so that we can proceed with the calculation.

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The number of children and adults using the swimming pool is x=318, and y=235 respectively.

Given that,

Swimming pool on a certain hot summer day 553 people use the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $1085.25.

Here,
let the number of children be x and the number of adults be y,
According to the conditions,
x + y = 553,  - - - - - - (1)
1.75x + 2.25y = 1085.25 - -- - - - - -(2)
Solving the above equations by substitution of x from 1 in equation 2.
1.75[y - 553] + 2.25y = 1085.25
x = 318
Now,
x = 553 - 318
x = 235

Thus, the number of children and adults using the swimming pool is x=318, and y=235 respectively.

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Answer:

can someone please help me with this

??

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

I use the slope formula

y2-y1/x2-x1

4-4=0

/

-18-(-7)=11

=0

Finding the y-intercpt

I use (-7,4). Since you know the slope-intercpet form which is y=mx+b

y=mx+b

4=0(-7)+b

4=0+b ( subtract zero on both sides)

4=b

Thus, the equation of the line is y=4.

Answer:

13•5ft

Step-by-step explanation:

1cm = 4.5ft

3cm = x

cross multiply

x= 3×4•5

:- x = 13•5ft

For the function f(x) = ⌊x²/3⌋, the values of f(s) for different sets s are as follows: a) f(s) = {1, 0, 0, 0, 1, 3}, b) f(s) = {0, 0, 1, 3, 5, 8}, c) f(s) = {0, 8, 16, 40}, d) f(s) = {1, 12, 33, 77}

The function f(x) = ⌊x²/3⌋ represents the floor of x²/3. To find f(s) for different sets s, let's evaluate it for each case:

a) For s = {-2, -1, 0, 1, 2, 3}:

  - For -2, (-2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For -1, (-1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 0, (0)²/3 = 0/3 = 0.

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 3, (3)²/3 = 9/3 = 3.

  Therefore, f(s) = {1, 0, 0, 0, 1, 3}.

b) For s = {0, 1, 2, 3, 4, 5}:

  - For 0, (0)²/3 = 0/3 = 0.

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 3, (3)²/3 = 9/3 = 3.

  - For 4, (4)²/3 = 16/3, and ⌊16/3⌋ = 5.

  - For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.

  Therefore, f(s) = {0, 0, 1, 3, 5, 8}.

c) For s = {1, 5, 7, 11}:

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.

  - For 7, (7)²/3 = 49/3, and ⌊49/3⌋ = 16.

  - For 11, (11)²/3 = 121/3, and ⌊121/3⌋ = 40.

  Therefore, f(s) = {0, 8, 16, 40}.

d) For s = {2, 6, 10, 14}:

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 6, (6)²/3 = 36/3 = 12.

  - For 10, (10)²/3 = 100/3, and ⌊100/3⌋ = 33.

  - For 14, (14)²/3 = 196

The values of f(s) for the given sets show how the function ⌊x²/3⌋, which represents the floor of x²/3, behaves for different inputs.

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Answer:

Find the missing side first.

1) tangent = opposite leg / adjacent leg

2) sine = opposite leg / hypotenuse

Answer:

\(x=2\sqrt3\ km\)

Step-by-step explanation:

Given that,

The base of a triangle = 2 km

The perpendicular height of the triangle = \(2\sqrt{2} \ km\)

We need to find the value of x. It is the Hypotenuse of the triangle. It can be solved as :

\(x=\sqrt{(2\sqrt{2})^2+2^2 } \\\\=2\sqrt{2+1 } \\\\=2\sqrt3\ km\)

So, the value of x is equal to \(2\sqrt3\ km\).

An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.

In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.

For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:

H₀: p = 10.

Ha: p < 10.

In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.

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Answer:

-3e/2

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Our equation is: 2(x+3)+2 = 4x - 12

Distribute: 2x+6+2 = 4x - 12

Combine like terms: 2x + 8 = 4x - 12

Rearrange terms: 8 + 12 = 4x - 2x

Simplify: 20 = 2x

Therefore: x = 10

In the given scenario, the value "1672" represents the number of car owners in a country.

A parameter is a characteristic or measure that describes a population, while a statistic is a characteristic or measure that describes a sample.

Since the study was conducted on all 1672 car owners in the country, the value "1672" represents the entire population and is therefore a parameter. It describes the total number of car owners in the country as a whole.

In summary, the value "1672" is a parameter in this context, as it represents a characteristic of the entire population of car owners in the country.

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Answer:

2.80$

Step-by-step explanation:

56 times 5

Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

A commission is a charge or payment given to a person or group in exchange for a good or service. When selling goods or services on behalf of a corporation, sales representatives or agents are frequently compensated with commissions in the business world. For instance, a stockbroker may receive a fee for carrying out a trade on behalf of a customer, while a real estate agent may receive a commission depending on the sale price of a property they assist in selling.

Riya receives a 6% commission for selling newspaper ads, and if she sells 15 ads for $50 each, her total earnings can be calculated as follows:

Total earnings = Total sales x Commission rate

The total sales from selling 15 ads at $50 each are:

Total sales = 15 x $50 = $750

The commission rate is 6%, which can be written as 0.06 as a decimal.

Plugging these values into the formula, we get:

Total earnings = $750 x 0.06 = $45

Therefore, Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

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Answer:

15

Step-by-step explanation:

75.00 - 20% is 60

60 + (tax 15) is 75.00

So I'm guessing that the tax rate is 15

#Dotted one

Slope

Equation in point slope form

Put (0,0)

So the equation is

#Dark one

Equation in intercept form

Put (0,0)

Equation

The value of alpha is 0.025. The Z-value is 1.96. The P(z) is 0.5. The effect size is 0.05. The Sample size for the study is 384.

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers. The 68-95-99.7 Rule states that 95% of values lie within two standard deviations of the mean, hence to get the 95% confidence interval, you add and subtract two standard deviations from the mean.

Here,

All the calculations attached in image.

z= 1.96

p = 0.5

q = 1-p = 0.5

E = 0.05

sample size =

(z^2).(pq)=(1.96^2).(0.5)(.0.5)

384.16,

round up

n for study =385

Alpha has a value of 0.025. There is a 1.96 Z-value. P(z) equals 0.5. The impact factor is 0.05. The Sample size for the study is 384.

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Answer:

there is a strong negative  correlation between data so the chosen model is a good fit

Step-by-step explanation:

a correlation coefficient close to -1 means that the model is considered a good fit; if correlation is greater than 0.8  then it's described as strong

Answer:

\( \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:2x+5=15}\ \)

2x=15-5

x=10/2=5

Hope it helps you.

Have a good day.