Part of the population of 5,250 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 11 of them are infected. How many elk are likely to be infected?

Answer:

(4×n)-2<30

Step-by-step explanation:

4xn is 4 times a number

two less= -2

LESS THAN 30, is <

The inequality used to find the solution of the given statement is 4x - 2 < 30 to get the solution as x < 8.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given statement is that two less than four times a number is less than thirty.

Let the unknown number be x.

Four times a number is 4x.

Two less than four times a number is 4x - 2.

Two less than four times a number is less than thirty is 4x - 2 < 30.

4x - 2 < 30

Adding both sides with 2,

4x < 32

Dividing both sides by 4,

x < 8

Hence the required solution can be found by solving the inequality 4x - 2 < 30 and the solution is x < 8.

To learn more about Linear Inequalities, click on the link :

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Answer:

7000*40=280000

Step-by-step explanation:6752 rounded to nearest thousands is 7000 and 36 rounded is 40

Answer:

280,000

Step-by-step explanation:

Answer:

Slope: 1/3

Y-Intercept: (0,7)

Equation: y = 1/3x + 7

Step-by-step explanation:

If you find a point on the line, you can find the slope by counting the distance from the y-intercept.

All we need to do is divide the amount of hours she needs to read by the time she wants to read each time.

1/2 = 0.5

Divide.

2 / 0.5 = 4

Therefore, Alexa will read 4 times over the weekend.

Best of Luck!

Answer:

4 times

Step-by-step explanation:

1 / 2 = 0.5

2 / 0.5 = 4

Answer:

v= 904.78

Step-by-step explanation:

Answer:

904.77868423386 feet^3

Step-by-step explanation:

Step one the formula is 4/3 Pie R ^3

Step two you do 4/3 x PI x 6^3

Step three do exponents first so 6x6x6=216

Step four multiply 4/3 x 3.14 which equals 4.187

Step four finally you are going to multiply 216 by 4.187 to get   904.77868423386 feet^3

Answer:

V = 523.5987756 Cubic in.

Step-by-step explanation:

The equation for the volume of a sphere is V = 4 * π * (r^3 / 3)

In this case: V = 4 * π * (41.6667)

                    V = 4 * 130.8996939

                    V = 523.5987756 cubic inches.

Hope this helps =)

Answer: C

Step-by-step explanation:

5 is the diameter so 2.5 has to be the radius.

The volume of sphere is  v=4/3* π *r^3

v= 4/3 * 3.14 * 2.5^3

v= 65.4

here your answer mate

3.25

hope it helps ☺️✌️

Answer:

3.25

Step-by-step explanation:

16/13 = 4/r

16 × r = 13 × 4

16r = 52

r = 52/16 = 3.25

Answer:

.06 or six hundredths

Step-by-step explanation:

Answer:

Hundredth place

Answer:

x=6

Step-by-step explanation:

convert the mixed number to a improper fraction..then multiply both sides of the equation by 6...collect like terms..then divide both sides by 37..then you should get your answer...

Answer:

[tex]73\%[/tex]

Step-by-step explanation:

Given: Present weight of Caleb’s puppy = 2,250 grams

Puppy weighed 600 grams at his last visit to the veterinarian’s office.

To find: percent increase in the puppy’s weight rounded to the nearest whole number

Solution:

Increase in puppy's weight = 2250 - 600 = 1650 grams

Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = [tex]\frac{1650}{2250}(100)=73.33 \%[/tex]

[tex]73.33\%[/tex] is rounded to [tex]73\%[/tex]

Answer:

- Mean of sampling distribution = 55%

- Standard deviation of the sampling distribution = 7%

- 68% of the distribution (about 136 of the 200 samples have sample proportions that) lie within 1 standard deviation of the mean, that is, within (55% ± 7%) = (48%, 62%).

- 95% of the distribution (about 190 of the 200 samples have sample proportions that) lie within 2 standard deviations of the mean, that is, within (55% ± 14%) = (41%, 69%).

- 99.7% of the distribution (almost all of the 200 samples have sample proportions that) lie within 3 standard deviations of the mean that is, within (55% ± 21%) = (34%, 76%).

Step-by-step explanation:

Population proportion = 55% = 0.55

Mean proportion of the sampling distribution too = 0.55

For a binomial distribution to approximate a normal distribution,

np ≥ 10

n(1-p) ≥ 10

np(1-p) ≥ 10

Note that n = sample size

p = proportion of medical doctors at the hospital that have prescribed a particular medication.

np = 50 × 0.55 = 27.5 ≥ 10

n(1-p) = 50×0.45 = 22.5 ≥ 10

np(1-p) = 50×0.55×0.45 = 12.375 ≥ 10

Hence, this sampling distribution is approximately normal.

Standard deviation of the sampling distribution is given as

σₓ = √[p(1-p)/n] = √[0.55×0.45/50] = 0.0703562364 = 0.0704 = 7.04% ≈ 7%

The empirical law for normal distributions explains that 68% of the distribution (about 136 of the 200 samples have sample proportions that) lie within 1 standard deviation of the mean, that is, within (55% ± 7%) = (48%, 62%).

95% of the distribution (about 190 of the 200 samples have sample proportions that) lie within 2 standard deviations of the mean, that is, within (55% ± 14%) = (41%, 69%).

99.7% of the distribution (almost all of the 200 samples have sample proportions that) lie within 3 standard deviations of the mean that is, within (55% ± 21%) = (34%, 76%).

Hope this Helps!!!

Answer:

Its correct I took the test!

Step-by-step explanation:

!!

Answer:

Rotate 90° counterclockwise about the origin, then translate 9 units right and 1 unit down.

Step-by-step explanation:

If you use some kind of see through paper like parchment, and trace Triangle ABC and rotate it around the origin 90° counterclockwise, translate 9 units right and 1 down, it should overlap Triangle DEF

The correct sequence of transformations is -

A triangle is a polygon with three edges and three vertices.

Given is a transformation of ΔABC to the Congruent image ΔDEF.

Congruent triangles have both the same shape and the same size.

The statement that correctly matches the transformation is -

Therefore, the correct sequence of transformations is -

To solve more questions on congruent triangles, visit the link below -

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Answer:

The rabbit population will reach its peak after 10 years.

Step-by-step explanation:

Suppose we have a quadratic function in the following format:

[tex]p(t) = at^{2} + bt + c[/tex]

The vertex of the function is the point:

[tex](t_{v}, p(t_{v})[/tex]

In which

[tex]t_{v} = -\frac{b}{2a}[/tex]

If a is negative, the vertex is a peak.

In this question:

[tex]p(t) = -4t^{2} + 80t + 1200[/tex]

So

[tex]a = -4, b = 80, c = 1200[/tex]

According to this quadratic function, after how many years will the rabbit population reach its peak

This is [tex]t_{v}[/tex]

[tex]t_{v} = -\frac{b}{2a} = -\frac{80}{2*(-4)} = 10[/tex]

The rabbit population will reach its peak after 10 years.

Answer:

I'm Pretty sure B, I am not that good at math but i hope i got it correct!

Step-by-step explanation:

Answer:

The answer is B, my darling.

Answer:

about 3.5 hrs

Step-by-step explanation:

Answer:

x+1

if it helps let me know by voting

Step-by-step explanation:

Answer:

3x+(-2x-4)+5 would be one of plenty other possibilities, it would help if we knew what x was equal to

Step-by-step explanation:

Answer:

C. Rewrite the numbers in order from lowest to highest first, then the number in the middle

Step-by-step explanation:

1,2,3,3,4,5,6,7,8

Median: 4

Answer:

A computer network

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = 6

Step-by-step explanation:

In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).

3 - 2x = -1.5x

(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)

-1.5x = 3 - 2x

First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.

0.5x = 3

For our next part here, let's convert 0.5 to a fraction to make life easier for us.

[tex]\frac{1}{2}[/tex]x = 3

When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!

[tex]\frac{1}{2}[/tex]x · [tex]\frac{2}{1}[/tex] = 1x (or simply x)

What we do to one side we must do to another.

x = 3 · 2

x = 6

Our answer is x = 6. Woo!

Answer:

60/96

Step-by-step explanation:

Answer:

10:16 or 2.5:4

Step-by-step explanation:

sorry if i am wrong

Answer:

a) 60 times

b) 0.24

c) 150 times

Step-by-step explanation:

Answer:

[tex]y=\pm\text{ }i\sqrt{\frac{1}{2}}[/tex]

Step-by-step explanation:

So we first multiply out the parentheses, which turns out to be [tex]-18y^2[/tex]. So our equation is [tex]-18y^2 + 9 = 0[/tex]. We factor out a 9, which turns into [tex]9(2y^2+1)[/tex]. So [tex]2y^2+1=0.[/tex] Solving, we have [tex]y^2=-\frac{1}{2}[/tex], and [tex]y=\pm\text{ }i\sqrt{\frac{1}{2}}[/tex]. I'm sorry everything is so messy, I hope you can still understand.

Answer:

20

Step-by-step explanation:

u have to look at the 9 after the decimal and if it is 5 or above then it goes up

Answer:

20

Step-by-step explanation:

the 9 would move the 19 up to a 20. Hope that this helps you and have a great day :)

Answer

7.85

but I not sure JutMon21 know the problem

Answer:

I got 7.85

Step-by-step explanation:

First, I took the center angle which is 90 degrees in this case and divided by 360 and I got 0.25 Then, I multiplied that number by the radius which is 5 and I got 1.25. After that I multiplied 1.25 with 2π and the final answer that I got is 7.85

Answer:

7

Step-by-step explanation:

used a calculator

Answer:

You'll find the answer below each.

Step-by-step explanation:

1-4 you can use this formula: [tex]V=l*h*w[/tex]

1.

[tex]V=l*w*h\\V=(6ft)(4ft)(1ft)\\V=24ft^3[/tex]

2.

[tex]V=l*h*w\\V=(2yd)(\frac{1}{2}yd )(2yd)\\V=2yd^3[/tex]

3.

[tex]V=l*h*w\\V=(12\frac{1}{2}mm)(3mm)(4mm)\\V=150mm^3[/tex]

4.

[tex]V=l*h*w\\V=(2cm)(8.5cm)(2cm)\\V=34cm^3[/tex]

5-7 you need these 2 formulas: [tex]A=\frac{bh}{2}[/tex] and [tex]V=Bh[/tex] or you can use one formula which is: [tex]V=\frac{bh}{2}*h[/tex]

Let me explain. The first formula is for finding the area of the base of the triangle and the second formula is for finding the volume of the prism using the area previously mentioned. The first h is with respect to the triangle and the second h is with respect to the prism.

5.

[tex]V=\frac{bh}{2}*h\\V=\frac{(8in)(6in)}{2}* 18in\\V=\frac{48in^2}{2}*18in\\ V=48in^2*9in\\V=432in^3[/tex]

6.

[tex]V=\frac{bh}{2}*h \\V=\frac{(11m)(5m)}{2}*35m \\V=\frac{55m^2}{2}*35m\\ V=\frac{1925m^3}{2}\\ V=962.50m^3[/tex]

7.

[tex]V=\frac{bh}{2}*h \\V=\frac{(5mm)(8mm)}{2}*12mm\\V=\frac{40mm^2}{2}*12mm\\ V=40mm^2*6mm\\V=240mm^3[/tex]

For the last one, we have a special case.

This formula is a bit odd and long.

[tex]V=\frac{1}{4}h(\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]

a=8yd

b=15yd

c=17yd

h=11yd

[tex]V=\frac{1}{4}(11yd)(\sqrt{-(8yd)^4+2[(8yd)(15yd))]^2+2[(8yd)(17yd)]^2-(15yd)^4+2[(15yd)(17yd)]^2}[/tex][tex]-(17)^4[/tex]

As you can see this is long. I'll just jump to the answer.

Answer: [tex]660yd^3[/tex]

Answer:

He is correct

Step-by-step explanation: