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Answer:

The proportion of the pooled samples is 0.54.

Step-by-step explanation:

We have that:

70% of men own cats.

The proportion of men in the sample is:

[tex]\frac{170}{170+190} = 0.4722[/tex]

40% of women own cats.

The proportion of women in the sample is: 1 - 0.4722 = 0.5278

Proportion of the pooled samples

[tex]p = 0.7*0.4722 + 0.4*0.5278 = 0.54[/tex]

The proportion of the pooled samples is 0.54.

Answer:

cos203° = - p

Step-by-step explanation:

Using the addition formula for cosine

cos(a + b) = cosacosb - sinasinb

cos203°

= cos(180 + 23)

= cos180°cos23° - sin180°sin23°

= cos180°. p - 0

= - 1 . p

= - p

Answer:

4y

Step-by-step explanation:

y+y+y+y

= (1+1+1+1) y

= 4y

Answer:

4y

Step-by-step explanation:

Y+y+y+y

Combine like terms

4y

Answer: [tex]7.48\ cm[/tex]

Step-by-step explanation:

Given

The equal side of two isosceles triangle are [tex]9\ cm[/tex] long

Base of the triangle is [tex]10\ cm[/tex] long

Median divides the base into two equal halves

from the figure, it can be written

[tex]\Rightarrow 9^2=5^2+h^2\\\Rightarrow h^2=9^2-5^2\\\Rightarrow h=\sqrt{81-25}\\\Rightarrow h=\sqrt{56}\\\Rightarrow h=7.48\ cm[/tex]

The length of the segment is [tex]7.48\ cm[/tex]

Answer:

see below

Step-by-step explanation:

take f(x)=5x-6, which is y=5x-6

switch the y for x and x for y and you get

x=5y-6

then add 6 on both sides and you get

x+6=5y

now divide both sides by 5 and you get

y=(x+6)/5

which is the inverse of the original function

Answer:

Solution given:

f(x)=5x-6

let f(x)=y

we get

y=5x-6

Interchanging role of x and y

x=5y-6

x+6=5y

y=[tex]\bold{\frac{x+6}{5}}[/tex]

so

f-¹=[tex]\bold{\frac{x+6}{5}}[/tex]

shown

[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]

Answer:

Express your answer using positive exponent.

[tex]\bold{(5st³u^{9}v^{7})(6s⁴t^{6}uv)}[/tex]

adding power of common term and multiply constant term:

[tex]\bold{5*6*s^{1+4}*t^{3+6}*u^{9+1}*v^{7+1}}[/tex]

[tex]\bold{30s^{5}*t^{9}*u^{10}*v^{8}}[/tex]

[tex]\bold{30s^{5}t^{9}u^{10}v^{8}}[/tex]

Answer:

[tex]30s^5t^9u^{10}v^8[/tex]

Step-by-step explanation:

We'll be using the following exponent property to solve this problem:

[tex]a^b\cdot a^c=(a)^{b+ c}[/tex]

This will allow us to combine terms with the same variable.

In [tex](5st^3u^9v^7)(6s^4t^6uv)[/tex], we have four variables, [tex]s[/tex], [tex]t[/tex], [tex]u[/tex], and [tex]v[/tex].

Let's start with the [tex]s[/tex] terms, [tex]5s[/tex] and [tex]6s^4[/tex]. The number in front of each term is called the coefficients, and can be multiplied directly. Remember that if there is no exponent written, it's the same thing as if there was an exponent of 1.

Therefore, combine using the exponent property I mentioned above:

[tex]5\cdot 6\cdot s^1\cdot s^4=30\cdot s^{1+4}=30s^5[/tex]

Next, we'll move on to the [tex]t[/tex] terms, [tex]t^3[/tex] and [tex]t^2[/tex].

Combine using the exponent property:

[tex]t^3\cdot t^6=t^{3+6}=t^9[/tex]

Repeat for the [tex]u[/tex] and [tex]v[/tex] terms:

[tex]u^9\cdot u=u^{9+1}=u^{10}[/tex]

[tex]v^7\cdot v=v^{7+1}=v^8[/tex]

Finally, combine all the terms together:

[tex]\implies \boxed{30s^5t^9u^{10}v^8}[/tex]

Answer:

(x+12, y-24)

Step-by-step explanation:

The rule is (x, y) -> (x+12, y-24)

Answer:

6 + x^2

Step-by-step explanation:

Plug in the values for A and B.

(-x + 2x - x + 1) + (x^2 + 5)

Remove the parenthesis. Combine like terms.

-2x + 2x = 0

1 + x^2 + 5

Combine like terms again.

6 + x^2

Answer:

x = 17

Step-by-step explanation:

-2x + 8 = -26

Subtract 8 from each side

-2x + 8-8 = -26-8

-2x = -34

Divide each side by -2

-2x/-2 = -34/-2

x = 17

Answer:

The answer is x=17

Step-by-step explanation:

−2x+8−8=−26−8

−2x=−34

−2x /−2 = −34 /−2

x=17

Answer:

D

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary.

Thus statement D is not always true.

Use main properties of powers

(a^m)^n=a^{m\cdot n};(am)n=am⋅n;

\dfrac{1}{a^n}=a^{-n}an1=a−n

to simplify given equation.

1.

4^x=(2^2)^x=2^{2x}.4x=(22)x=22x.

2.

\left(\dfrac{1}{8}\right)^{x+5}=\left(\dfrac{1}{2^3}\right)^{x+5}=(2^{-3})^{x+5}=2^{-3x-15}.(81)x+5=(231)x+5=(2−3)x+5=2−3x−15.

3. Then the equation is

2^{2x}=2^{-3x-15}.22x=2−3x−15.

The bases are the same, so equate the powers:

2x=-3x-15,

2x+3x=-15,

5x=-15,

x=-3.

Answer: for x=-3.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3

Answer:

2nd option

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here g(x) = [tex]\sqrt{x}[/tex] + 1

The base graph f(x) has been shifted up 1 unit

9514 1404 393

Answer:

  x = (√2)/2

Step-by-step explanation:

The diagonal is √2 times the side length (x), so ...

  1 = x√2

  √2 = 2x . . . . . multiply by √2

  (√2)/2 = x . . . . divide by 2

The side length x is (√2)/2.

Answer:

y=0.25x+35

Step-by-step explanation:

if the truck doesn't have to travel at all, it costs $35 for the loading fee, so the y-intercept is (0, 35). As x increases by 1, y increases by 0.25, so the slope is 0.25. Therefore, the equation is y=0.25x+35

Answer:

y = .25 x + 35

Step-by-step explanation:

Total cost = cost per mile * number of miles * flat fee

y be the cost in dollars

x = miles

y = .25 x + 35

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

Answer:

-(1/(x+h-3)(x-3))

Step-by-step explanation:

y=1/(x-3)

(f(x+h)-f(x))/h=(1/(x+h-3)-1/(x-3))/h=-(1/(x+h-3)(x-3))

The percentage of people who chose only coffee will be 43%.

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.

At a breakfast buffet, 63% of people choose coffee as their beverage while 23% choose juice.

Also, 20% choose both coffee and juice.

Then the percentage of people who chose only coffee will be given by the difference of 63% and 20%.

⇒ 63% - 20%

⇒ 43%

Thus, the percentage of people who chose only coffee will be 43%.

More about the sets link is given below.

https://brainly.com/question/8053622

#SPJ2

Answer:

SinA=k/g

cotA=k/j

secA=g/j

cosecB=g/k

tanB=l/k

cosB=k/g

Answer:

C

Step-by-step explanation:

The 28 is independent of the number of hours. Both B and D are incorrect.

You don't subtract the 28 from the total. That's part of the total. A is wrong.

The answer is C

Answer:

The expression is 70 - 9 u .

Step-by-step explanation:

Digit at ones place = u

Let the digit at tens place is y.

Sum of the digits is 7.

y + u = 7

y = 7 - u

So, the number is

10 y + u

= 10 (7 - u) + u

= 70 - 10 u + u

= 70 - 9 u

[tex]\\ \sf\longmapsto b^2x^2+a^2y^2[/tex]

[tex]\\ \sf\longmapsto b^2(asin\Theta)^2+a^2(bcos\Theta)^2[/tex]

[tex]\\ \sf\longmapsto b^2a^2sin^2\Theta+a^2b^2cos^2\Theta[/tex]

[tex]\\ \sf\longmapsto a^2b^2(sin^2\Theta+cos^2Theta)[/tex]

[tex]\\ \sf\longmapsto a^2+b^2(1)[/tex]

[tex]\\ \sf\longmapsto a^2b^2[/tex]

Answer:

B. decrease of 12

Step-by-step explanation:

Number of people who left the store = 14

Number of people who entered the store = 10

Again,

Number of people who left the store = 13

Number of people who entered the store = 5

Total people who left the store = 14 + 13

= 27 people

Total people who entered the store = 10 + 5

= 15 people

Number of people remaining in the store = Total people who entered the store - Total people who left the store

= 15 - 27

= -12

This means there is a net decrease in the number of people in Carmen's Computer Store

Answer:

{ -2,-1,0,1}

Step-by-step explanation:

The domain are the values for the input

Domain { -2,-1,0,1}

Answer:

I think Substitution

Step-by-step explanation:

Because x is already solved for in the second equation.

Answer:

Step-by-step explanation:

Nearest thousandth = 5693.251

Nearest tenths = 5693.3