algebra 1 help the answers are on the bottom please help me

Answer:

Question

5) 0.81859

6) P(x<6.6) = 0.15866

7) 15.866 frogs would be longer than 8.2cm

Step-by-step explanation:

5. A biologist is measuring the lengths of frogs in a certain location. The lengths

of the frogs have a mean of 7.4 centimeters and a standard deviation of 0.8

centimeters. What is the probability that a randomly selected frog will measure

between 5.8 cm and 8.2 cm?

Using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

z1 = (x-μ)/σ

x is the raw score = 5.8cm

μ is the population mean = 7.4cm

σ is the population standard deviation. = 0.8cm

= 5.8 - 7.4/0.8

= -2

Using a z score table to find the probability of -2

P(z = -2) = 0.02275

z2 = (x-μ)/σ,

x is the raw score = 8.2cm

μ is the population mean = 7.4cm

σ is the population standard deviation. = 0.8cm

z = 8.2 - 7.4/0.8

z = 1

Using the Z-Table to find the probability

P(z = 1) = 0.84134

Hence, the probability that a randomly selected frog will measure between 5.8 cm and 8.2 cm is calculated as:

0.84134 - 0.02275 = 0.81859

6. Using the data from question #5, what is the probability that a randomly

selected frog will measure less than 6.6 cm?

Your answer

Using z score formula

z = (x-μ)/σ, where

x is the raw score = 6.6cm

μ is the population mean = 7.4cm

σ is the population standard deviation. = 0.8cm

z1 = (x-μ)/σ

= 6.6 - 7.4/0.8

= -1

Using the Z-Table to find the probability a randomly selected frog will measure less than 6.6 cm

P(x<6.6) = 0.15866

7. Using the data from #5, if 100 frogs are measured, how many of them would you predict to measure longer than 8.2 cm?

z = (x-μ)/σ,

x is the raw score = 8.2cm

μ is the population mean = 7.4cm

σ is the population standard deviation. = 0.8cm

z = 8.2 - 7.4/0.8

z = 1

Using the Z-Table to find the probability

P(x<8.2) = 0.84134

To find the probability of frogs that would be longer than 8.2cm

P(x>8.2) = 1 - P(x<8.2) = 0.15866

To calculate the number would be predicted to measure longer than 8.2 cm is :

0.15866 × 100 = 15.866% is longer than 8.2cm

Therefore,

15.866% × 100 frogs = 15.866 frogs.

Answer:

|-101|  > -85

Step-by-step explanation:

|-101| __ -85

The absolute value is taking the positive value

101 __ -85

101 is greater than -85

|-101|  > -85

Answer:

>

Step-by-step explanation:

Answer:

incorrect

Step-by-step explanation:

We are multiplying exponents

Since the bases are the same, add the exponents

a^2 * a^-6 * a^6

a^ ( 2+-6 +6)

a^ (2)

This does not equal a^5

Answer:

no

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

There are 20 cubes total.

2 of the twenty are green.

2/20=10%

10% of 100 is 10

Answer:

Step-by-step explanation:

So, In all there are 20 cubes, And If they are making 100 pulls then it could be put into a percent. So 10 would be 50%, 2 would be 5%, and 8 would be 45%, so it would be pulled 5 times. Hope This Helps Dreamer!

Answer:

Step-by-step explanation:

Are you asking to simplify: [tex]3y^2 - 6zy - (7+4y)^2- (4yz+2) -y^2 * z[/tex] ?

and [tex]y^2 - y^2 z - 10yz - 5y^2-y^2z - 5yz - 57y^2-y^2z-10yz-57y^2-y^z-2yz-5[/tex]?

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]3 \sqrt{54} - 4 \sqrt{24} [/tex]

Simplify the radical expression

[tex]3 \sqrt{2 \times 3 \times 3 \times 3} - 4 \sqrt{2 \times 2 \times 2 \times 3} [/tex]

[tex]3 \times 3 \sqrt{2 \times 3} - 4 \times 2 \sqrt{2 \times 3} [/tex]

[tex]9 \sqrt{6} - 8 \sqrt{6} [/tex]

collect the like terms

[tex]9 - 8 \sqrt{6} [/tex]

[tex]1 \sqrt{6} [/tex]

[tex] \sqrt{6} [/tex]

Hope this helps...

good luck on your assignment..

Answer:

12

trust me it works i just took the test.

Answer:

d) -2, 3, 8, 13, 18

Step-by-step explanation:

d) is the only one that has the same change each time (+5)

Answer:

[tex]\huge\boxed{d.\ where\ a_1=-2;\ d=5}[/tex]

Step-by-step explanation:

[tex]\text{If}\ a_1,\ a_2,\ a_3,\ ...,\ a_n\ \text{is an arithmetic sequesnce, then}\\\\a_2-a_1=a_3-a_2=a_4-a_1=...=a_{n}-a_{n-1}=d=constant\\\\d-\text{common difference}\\\\\text{We have:}\\\\a.\ -2;\ 3;\ 5;\ 10;\ 18\\18-10\neq10-5\\\\b.\ -2,\ 0;\ 8;\ 13;\ 17\\17-13\neq13-8\\\\c.\ -2;\ 3;\ 8;\ 15;\ 20\\20-15\neq15-8\\\\d.\ -2;\ 3;\ 8;\ 13;\ 18\\18-13=13-8=8-3=3-(-2)=5[/tex]

Answer:

x= -3

Step-by-step explanation:

distribute and get -6x+20+4x=26

then simplify and get -2x=6

simplify again and get x=-3

Answer:

x= -3

Step-by-step explanation:

-4(1.5x-5)+4x=26

Simplify the problem:

-2x+20=26

Subtract 20 from both sides:

(-2x+20)-20=(26)-20

Simplify:

-2x=6

Divide both sides by -2

(-2x)/-2=(6)/-2

Simplify:

x=-3

I hope that was helpful! (Brainliest???) :P

Hello!

Answer:

f(x) = (x + 4)² - 4

Step-by-step explanation:

Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:

f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²

Simplify:

f(x) = (x² + 8x + 16) + 12 - 16

Subtract to find the 'k' value:

f(x) = (x + 4)² - 4. This is the equation in vertex form.

Answer:

12 units

Step-by-step explanation:

from (2, 3) to (5, 3) = 3

from (5, 3) to (5, 7) = 4

from (2, 3) to (5, 7) = √3²+4² = 5

3 + 4 + 5 = 12

Answer:

212

Step-by-step explanation:

3m² + 2p² - 15

Plug in the values.

3(3)² + 2(10)² - 15

Evaluate.

3(9) + 2(100) - 15

27 + 200 - 15

200 + 12

= 212

Answer: 212

Step-by-step explanation:

substitute the given values into the expression

3 ( 3 ) ^ 2 + 2 (10)^ 2 − 15 =

(3 ×9 ) + (2 × 100 ) - 15

= 27 + 200 - 15 =212

Hope this helped

The line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.

So the line we want has equation

r(t) = qt + p = (14, -8)t + (-4, 12) = (14t - 4, 12-8t)

where t is any real number.

The Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).

A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.

Here, the line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.

r(t) = q*t + p

r(t) = (14, -8)t + (-4, 12)

r(t) = (14t - 4, 12-8t)

where t is any real number

Thus, the Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).

Learn more about vector equations on:

https://brainly.com/question/11086244

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Answer:

Step-by-step explanation:

csc = 1/sin a would be OK if you'd insert the argument 'a:'

csc a = 1/sin a    is an identity (a relationship that is always true).  

If you write csc a = 1 / (-sin a) you are creating a conditional equation which may be true for some values of a but not for all.

Answer:

He can ride for 28 miles

Step-by-step explanation:

Total cost of the ride = $ 10

Tips = $ 2

Cost of ride excluding tips = 10 - 2 = $ 8

Taxi fare for first 500 miles = $ 2.40

Taxi fare excluding first 500 miles =  8 - 2.40 = $ 5.60

distance traveled by him excluding first 500 miles = 5.60 ÷ cost of additional mile

 = 5.60 ÷ 0.20

=28 miles

Answer:

250.72

Step-by-step explanation:

the first step to do is you imagine the semi-circle is a whole circle. Now since its a circle you can calculate the circumference by using the equation 3.14d. The diameter of the circle is 150.72 Now we can easily tell that their are two sides having a length of 50 meters. 50 +50 = 100. Now if we cut the circle and put the semi-circle back to its place, then it will have the same shape of the track. And finally when you add 150.72 + 100= you get 250.72.

Answer:

175.4

Step-by-step explanation:

50+50=100

Find circle perimeter with 12, because you have to use the radius not the diameter. Perimeter of circle= 75.4

100+75.4= 175.4

Answer:

Step-by-step explanation:

b

Answer:

I think it's 4x4 - 7xy3- 3x3v/2 +8x2y2

Step-by-step explanation:

Answer:

see details and attached figure below.

Step-by-step explanation:

Going row by row

1. 12  (isosceles triangles have equal legs from the vertex)

2. 55 deg. (isosceles triangles have equal base angles)

3. 90 = 180-45-45 (isosceles triangles have equal base angles)

4. 2x-8 = 10

=> x = 18/2 = 9 (isosceles triangles have equal legs from the vertex)

5. sum of angles of triangle = 180

3x+3x+2x+4 = 180 => 8x = 176, x = 22, angle A = 3x = 66 deg.

6. sum of angles of triangle = 180

(isosceles triangles have equal base angles)

25+25+angle Z = 180 => angle Z = 180-25-25 = 130

Answer:

X= 65

Step-by-step explanation:

180°-50°=130 (Angles on a straight line)

2x=130 ( Corrresponding Angle)

X= 130÷ 2

= 65

Hope this helps.

Answer:

Step-by-step explanation:

In the bottom corner to find 2x you have to make an equation. So 180 - 50 = 130. 130 has the equal angle as 2x.

180 - 50 = 130

2x = 130

Simplify by dividing

2x = 130

/2       /2

I'm assuming you meant to say P(A) = 3/5 and P(B|A) = 8/9.

If so, then we multiply the probabilities to get P(A and B)

P(A and B) = P(A)*P(B|A)

P(A and B) = (3/5)*(8/9)

P(A and B) = (3*8)/(5*9)

P(A and B) = 8/(5*3)

P(A and B) = 8/15

Answer:

$16

Step-by-step explanation:

0.48 x 33.95 = 16.296

Answer:

Hey there!

48% of 33.95, is about half of 33.95. Thus, the answer is roughly equal to 16.

Hope this helps :)

Answer:

A = 36 ft^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 1/2 ( 12) * 6

A = 36 ft^2

Answer:

36 square ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

A(-8,-6)   ; B(-3,-6)

[tex]AB= \sqrt{(-3-[-8])^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(-3+8)^{2}+(-6+6)^{2}}\\\\=\sqrt{(5)^{2}+ 0}\\\\= 5 units[/tex]

Answer:

1.6

Step-by-step explanation:

So, first, write down the number of jokers in each deck of cards.

That would be: 0, 1, 2, 2, 3

Then, add up all those numbers.

0+1+2+2+3=8

Now, divide that sum by the number of decks or cards shown in the data set, which would be 5.

8/5=1.6

So, the mean of the data in the dot plot shown is 1.6.

The mean of the data in the dot plot below is 1.6.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Given:

Jokers in each of Marcie's decks of card would be 0, 1, 2, 2 and 3.

The mean,

= 0 + 1 + 2 + 2 + 3/5

= 8/5

= 1.6

Therefore, the mean is 1.6.

To learn more about the mean;

brainly.com/question/13451489

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Answer:

(3,0)

Step-by-step explanation:

The graph is a line so it will have an equation with this form:

y = mx+b

m is the slope and b is the y-intercept.

Let's calculate m:

● m = (-32-(-64))/(-9-(-21)) = 8/3

Now replace m with its value and x,y with coordinates of a point.

● -32 = (8/3)*(-9) +b

● -32 = -24 +b

● -32+24 = b

● -8 =b

Solve y = 0

●(8/3)*x+b = 0

● (8/3) *x = 8

● x = 3

The coordinates of the x-intercept are (3,0)

Answer:

I think you want this answer below:

Step-by-step explanation:

7m - 56 < 0  if  m < 8.

Answer:

56-7m

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

Answer:

X=12 BD=10

Step-by-step explanation:

See Above

Answer:

see explanation

Step-by-step explanation:

GC = 11B + 1D

WS = 9B + 2D

Linear equations will point downward

Western Sizzlin is the best deal per person because in total it would be $11 and Golden Corral would be $12.

Step-by-step explanation:

Hi there!!

Here, the thing is we should add them first yaa.

so, let's add them

[tex] = - 2 \frac{1}{6} + \frac{7}{3} [/tex]

by taking lcm we get their lcm is 6 and let's do it according to that,

[tex] = \frac{ - 12 \times 1}{6} + \frac{7 \times 2}{6} [/tex]

now, let's simplify them ok..

[tex] = \frac{ - 12 + 14}{6} [/tex]

so, we get 2/6 (i.e 1/3)

now, the number line must be greator than 1 and less than 1.

Hope it helps...