Part of the population of 7,500 elk at a wildlife preserve is infected with a parasite. A random sample of 50
elk shows that 10 of them are infected. How many elk are likely to be infected?
Based on the sample, there will likely be
infected elk in the wildlife preserve.

Answer:

75 km.

Step-by-step explanation:

Fractions of a number

To get the fraction of a number, we multiply that number by the given fraction.

For example two-thirds of 60 is 2/3 × 60 = 2 × 20 = 40 and one-fifth of 100 is 1/5 × 100 = 100/5 = 20

Now, we are supposed to find a fraction of 100 km. Assume its three-quarters.

So, three-quarters of 100 km is 3/4 × 100 km = 3 × 100 km/4 = 3 × 25 km = 75 km

So, three-quarters of 100 km is 75 km.

Answer:

B

Step-by-step explanation:

the larger triangle is 4 times bigger.....so the measurements for the sides are multiplied by 4.

the shape however is the same ....so the internal angle will still be 83 degrees

Answer:

28.26 cm

Step-by-step explanation:

circumference of a circle = πd

=3.14 * 9 cm

=28.26 cm

Answer:

49500

Step-by-step explanation:

According to the Question,

We have, District geons = 20 , District Size = 5

Now, We choose 2 geons From 100 Geons and arrange them in 10 district relations.

= [tex]\left[\begin{array}{ccc}100\\2\end{array}\right] * 10[/tex]

= (100 × 99)/2 × 10

= 49.5×100×10   ⇒ 49500

Answer:

m1 = 107°

m2 = 73°

m3 = 107°

m1+m2+m3+m4 = 360°

107+73+107+73=360°

Answer:

y=-2 when x=0

Step-by-step explanation:

The value of the function f(x), When x = 0 is y = - 2.

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

From the graph of the function, it intersects the x-axis at two distinct places

so it is a polynomial of degree two.

Let the given function be f(x).

By observing the graph of the function f(x), When x = 0, f(x) = - 2.

Or y = - 2.

learn more about polynomials here :

https://brainly.com/question/11536910

#SPJ7

Answer:

320 square feet.

Step-by-step explanation:

For the moment, let's put the square back in place. That would make the length 16 + 8 = 24 and the width 16.

L = 24

W = 16

Area = L * W

Area = 24 * 16

Area = 384

Now the next step is to take out the square. It is 8 * 8 = 64

The area of the figure = 384 - 64 = 320 square feet, and that's the answer.

Answer:

320 in^2

Step-by-step explanation:

we need to find the area of this figure

Firstly divide above picture in two parts

1st figure = (16*16)in.

2nd figure = (8*8)in.

Area of 1st figure = 16*16 = 256 in^2

Area of 2nd figure = 8*8 = 64 in^2

Area of whole figure = ( 256 + 64 )in^2

= 320 in^2

Answer:

Step-by-step explanation:

the current ages:

father= 32 yrs old

son=5 yrs old

-------

4(5+x) = 32+x

20+4x = 32+x

4x-x = 32–20

3x =12

x = 12/3

x = 4 years

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

after the 4 years later the farther age will be 36 ( 32+4 = 36)

the son will be 9 ( 5+4= 9 years)

the x presents how the father will be after 4 times the age of the son

Answer:

7**6

Step-by-step explanation:

The expression 7^6 ; can be interpreted as 7 raised to the power of 6 ; which is (7 * 7 * 7 * 7 * 7 * 7). To execute this expression using a computer or basic mathematical operation on a computer we use the power symbol which the computer understand this the double multiplication symbol (**)

Hence, 7^6 = (7**6)

Answer:

90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]

Step-by-step explanation:

The data given is

                        Mean                 Std Dev

Before            177.25                29.325

After              169.50                    22.431

Difference        7.75                    8.598

Hence d`=   7.75 and sd=   8.598

The 90% confidence interval for the difference in means for the paired observation is given by

d` ± t∝/2(n-1) *sd/√n

Here  t∝/2(n-1)=1.895  where n-1= 8-1= 7 d.f

and  ∝/2= 0.1/2=0.05

Putting the values

d` ± t∝/2(n-1) *sd/√n

7.75  ±1.895 *  8.598 /√8

 7.75  ± 5.7605

1.989 ,13.5105

90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]

Answer:

1 hr 55 mins

Step-by-step explanation:

50 mins between 12:10 and 1:00 p.m.

Add 5 mins to change 2:05 to 2:00.

55 mins and 1 hr

Answer:

wenus.

Step-by-step explanation:

4 inches. hduruuruthtututuu4u4

Answer:

-2,951,389

Step-By-Step Explanation:

63(4)+89-45(58+256²)

63(4)+89-45(58+65536)

63(4)+89-45(58+65536)

63(4)+89-45(65,594)

252+89-45(65,594)

252+89-2,951,730

-2,951,389

The person C that you would rate the highest on their eligibility for a home loan.

Given that,

You work for a lender that requires a 20% down payment and uses the standard debt-to-income ratio to determine a person's eligibility for a home loan.

We have to determine,

The person that you would rate the highest on their eligibility for a home loan?

According to the question,

Person A Person B Person C Person D

Home value; $175,000 $200,000 $220,000 $250,000

Income; $51,000  $58,000 $63,000 $67,000

Savings; $35,000 $40,000 $42,000 $50,000

Recurring debt; $350 $250 $200 $450

Person A has eligibility for a home loan is,

Home price $175,000 on 20% down payment,

[tex]= \dfrac{175000 \times 20}{100}\\\\= 175000 \times 0.20 \\\\= 35,000[/tex]

Person A's income is $51,000 and his saving amount is $35,000.

Person A has the highest eligible for recurring debt.

Therefore, Person A is not eligible for a home loan.

Person B has eligibility for a home loan is,

Home price $200,000 on 20% down payment,

[tex]= \dfrac{200000 \times 20}{100}\\\\= 200000 \times 0.20 \\\\= $40,000[/tex]

Person B's income is $58,000 and his saving amount is $40,000.

Person B is the highest recurring debt.

Therefore, Person B is not eligible for a home loan.

Person C has eligibility for a home loan is,

Home price $220,000 on 20% down payment,

[tex]= \dfrac{220000 \times 20}{100}\\\\= 220000 \times 0.20 \\\\= $44,000[/tex]

Person C's income is $63,000 and his saving amount is $42,000.

Person C has the lowest recurring debt.

Therefore, Person C is eligible for a home loan.

Person D has eligibility for a home loan is,

Home price $250,000 on 20% down payment,

[tex]= \dfrac{250000 \times 20}{100}\\\\= 200000 \times 0.20 \\\\= $50,000[/tex]

Person D's income is $67,000 and his saving amount is $50,000.

Person D has the highest recurring debt.

Therefore, Person D is not eligible for a home loan.

Hence, The person C that you would rate the highest on their eligibility for a home loan.

For more details refer to the link given below.

https://brainly.com/question/9911386

Answer: B

Step-by-step explanation:

Just took the test on edge and got it right

Answer:

[tex]x=5, \\x=-1[/tex]

Step-by-step explanation:

Given [tex](x-2)^2=9[/tex], to solve for [tex]x[/tex], our goal is to isolate [tex]x[/tex].

Take the square root of both sides:

[tex]x-2=\pm\sqrt{9},\\x-2=\pm 3[/tex](recall that [tex]3^2=(-3)^2=9[/tex]).

Therefore, we have two cases:

[tex]\begin{cases}x-2=3,x=\boxed{5} \\x-2=-3, x=\boxed{-1}\end{cases}[/tex]

Answer:

lol

Step-by-step explanation:

Answer:

285 cm

Step-by-step explanation:

perimeter of big triangle

base = 19 + 27

=46 cm

perimeter = base*height/2

=46*30/2

=1380/2

=690 cm

perimeter of not white not shaded triangle

base = 27 cm

height = 30 cm

perimeter = base*height/2

=27*30/2

=810/2

=405 cm

perimeter of shaded triangle = 690 cm - 405 cm

=285 cm

Answer: 13 miles

Step-by-step explanation: If you're rounding to the nearest whole number your answer should not consist of a decimal. You are rounding based on your tens place because you're trying to find the nearest whole number. Your tenths place value is 0.4. In order to know if you're rounding up or down you have to rememeber anything between 0-4 you round down (keep the number the same). Anything 5-9 you're rounding up the next number.

Answer:

1.) .4444444444 (or 4/9)

2.) .3333333333 (or 1/3)

3.) .09 (not too sure though)

4.) .31

5.)1

6.) .0153

Step-by-step explanation:

We want to find the probability of that a teenager driver getting a ticket given they ran a red light

the conditional probability formula is as follows (B|A)=(B∩A)/A

so let t= ticket for speeding

r= running a red light

(t|r)=(t∩r)/r

this is .04/.09 = .4444444444

2.) it's the same deal as number one

let t= ticket for speeding

r= running the red

we are looking for the probabilty of someone running a red light given that they were speeding

so we want (r|s)

which is .04/.12 = .33333333

3.) I'm not 100% sure on this one, I think the answer is just 9% though

4.) let x= probability of getting at least one

which means that

p(0)+p(x)=1

which means that

p(x)= 1-p(0)

Assuming they're independent, the probability of getting 0 in a pack is .97^12  which is .69

1-.69= .306157639  which rounds to .31

5.) this one is kind of the same deal

probability of getting at least 1=x

p(0)+p(x)=1

1-p(0)=p(x)

p(0)= .02^10= my calculator rounds this to 0 lol

1-0 = 1

6.) Solve this one using a bionomial distribution

we have

10C8*(.98)⁸*.02²= .0153

Answer:

[tex]z = -1.53[/tex] --- test statistic

[tex]p = 0.1260[/tex] --- p value

Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

[tex]n_1 = 80[/tex]     [tex]\bar x_1= 104[/tex]   [tex]\sigma_1 = 8.4[/tex]

[tex]n_2 = 70[/tex]    [tex]\bar x_2 = 106[/tex]    [tex]\sigma_2 = 7.6[/tex]

[tex]H_o: \mu_1 - \mu_2 = 0[/tex] --- Null hypothesis

[tex]H_a: \mu_1 - \mu_2 \ne 0[/tex] ---- Alternate hypothesis

[tex]\alpha = 0.05[/tex]

Solving (a): The test statistic

This is calculated as:

[tex]z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}[/tex]

So, we have:

[tex]z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}[/tex]

[tex]z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}[/tex]

[tex]z = \frac{-2}{\sqrt{0.8820 + 0.8251}}[/tex]

[tex]z = \frac{-2}{\sqrt{1.7071}}[/tex]

[tex]z = \frac{-2}{1.3066}[/tex]

[tex]z = -1.53[/tex]

Solving (b): The p value

This is calculated as:

[tex]p = 2 * P(Z < z)[/tex]

So, we have:

[tex]p = 2 * P(Z < -1.53)[/tex]

Look up the z probability in the z score table. So, the expression becomes

[tex]p = 2 * 0.0630[/tex]

[tex]p = 0.1260[/tex]

Solving (c): With [tex]\alpha = 0.05[/tex], what is the conclusion based on the p value

We have:

[tex]\alpha = 0.05[/tex]

In (b), we have:

[tex]p = 0.1260[/tex]

By comparison:

[tex]p > \alpha[/tex]

i.e.

[tex]0.1260 > 0.05[/tex]

So, we fail to reject the null hypothesis.

Answer:

(pi)(n^2 - n^2)

Step-by-step explanation:

A = (pi)r^2

r = n

A_n = (pi)n^2

r = m

A_m = (pi)m^2

A_sombreada = A_n - A_m =

= (pi)n^2 - (pi)m^2

= (pi)(n^2 - n^2)

Answer:

a2

b4

c16 brainliest plzz

Answer:

a) SV = 2

The line that is SV actually is not the full slash. It is halfway, and we know that half of four would be two.

b) RT = 4

This time RT is a full line going all the way down. So it would be 4.

c) p = a + b + c

The lengths are all the same because we calculated in the first question that two is half of four. So the base, height, and hypotenuse are the same, 2.

2 + 2 + 2 = 6

So the perimeter of the triangle RVS is 6.

9514 1404 393

Answer:

  53.6 mL

Step-by-step explanation:

The amount of acid is 16.2% of 331 mL, or ...

  0.162 × 331 mL = 53.622 mL

There are about 53.6 mL of acid in the solution.

Step-by-step explanation:

diameter (d) = 7cm

radius (r)= d/2 .... formula

= 7/2 .....put the value

= 3.5cm

the measure of radius is 3.5cm.

Answer:

84

59

Step-by-step explanation:

In other to have the same number of chayes in both rows and columns ;

If the Number of chairs per row = x ; then number of chairs per column = x

Then the total number of chairs needed = x * x = x²

Hence, if there are 5100 chairs ;

Number of chairs needed more ;

Take the square root of 5100 ;the round to the next whole number :

B.) For number of chairs to be removed ;

Take the square root of 5100 and round down to the whole number.

Hence,

A.) = √5100 = 71.414 = 72

72² - 5100 = 84

B.) 5100 = 71.414 = 71

5100 - 71² =

Answer:

j: area= 36

k: area= 72

l: area= unable to solve due to not having both bases.

Step-by-step explanation:

I used the formula : ((a+b)/2)*h

then, I plugged in the numbers in the problem for the variables in the formula. Here is how I solved j:

((a+b)/2)*h = ((5+7)/2)*6 = (12/2)*6 = 6*6 = 36

I solved k the same way but with different numbers because the problem provided different bases and a different height.

question isn't loading

Step-by-step explanation:

Answer:

i think it is b but don't take my word

Step-by-step explanation:

Answer:

[tex]Pr =\frac{1}{3}[/tex]

Step-by-step explanation:

Given

[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]

[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]

[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex] --- sample space

First, list out all outcomes whose sum is divisible by 5

[tex]A = \{(4,6), (5,5),(6,4)\}[/tex]

So, we have:

[tex]n(A) = 3[/tex]

Next, list out all outcomes that has an outcome of 5 in both rolls

[tex]B = \{(5,5)\}[/tex]

[tex]n(B) =1[/tex]

The required conditional probability is:

[tex]Pr =\frac{n(B)}{n(A)}[/tex]

[tex]Pr =\frac{1}{3}[/tex]