Verify the identities by working down one side of the identity or the other, or both sides of the identity.

PLEASE HELP ME I NEED THIS TEST DONE QUICKLY!!!!!

Answer:

An acute angle is an angle that measures less than 90 degrees. A triangle formed by all angles measuring less than 90˚ is also known as an acute triangle. For example, in an equilateral triangle, all three angles measure 60˚, making it an acute triangle.

hope this answer helps you.....

Answer:

yo bro idek bro, gimme brainliest

Step-by-step explanation:

Answer:

Only 60 is an identified outlier

Step-by-step explanation:

Given

Age group: 40 to 50

[tex]Min = 60[/tex]           [tex]Q_1 = 70[/tex]           [tex]Median= 73[/tex]

[tex]Q_3 = 76[/tex]              [tex]Max = 85[/tex]

Conditions for outlier

[tex]Value > Q_3 + 1.5 * IQR[/tex]

[tex]Value < Q_1 - 1.5 * IQR[/tex]

See attachment for complete question

Required

Which of 60, 62 and 84 is an outlier of age grout 40 to 50 years

First, calculate the IQR of group 40 to 50.

This is calculated as:

[tex]IQR = Q_3 - Q_1[/tex]

Where:

[tex]Q_3 = 76[/tex] and [tex]Q_1 = 70[/tex]

So:

[tex]IQR = 76 - 70[/tex]

[tex]IQR = 6[/tex]

Next, is to test the outlier conditions on each value (i.e. 60, 62 and 84)

Testing 60

Condition 1

[tex]Value > Q_3 + 1.5 * IQR[/tex]

[tex]60 > 76 + 1.5 * 6[/tex]

[tex]60 > 76 + 9[/tex]

[tex]60 > 85[/tex] --- False

Condition 2

[tex]Value < Q_1 - 1.5 * IQR[/tex]

[tex]60 < 70 - 1.5 * 6[/tex]

[tex]60 < 70 - 9[/tex]

[tex]60 < 61[/tex] --- True

Because one of the conditions is true, then 60 is an outlier of group 40 - 50 years

Testing 62

Condition 1

[tex]Value > Q_3 + 1.5 * IQR[/tex]

[tex]62> 76 + 1.5 * 6[/tex]

[tex]62 > 76 + 9[/tex]

[tex]62 > 85[/tex] --- False

Condition 2

[tex]Value < Q_1 - 1.5 * IQR[/tex]

[tex]62 < 70 - 1.5 * 6[/tex]

[tex]62 < 70 - 9[/tex]

[tex]62 < 61[/tex] --- False

Because both conditions are false, then 62 is  not an outlier of group 40 - 50 years

Testing 84

Condition 1

[tex]Value > Q_3 + 1.5 * IQR[/tex]

[tex]84> 76 + 1.5 * 6[/tex]

[tex]84 > 76 + 9[/tex]

[tex]84 > 85[/tex] --- False

Condition 2

[tex]Value < Q_1 - 1.5 * IQR[/tex]

[tex]84 < 70 - 1.5 * 6[/tex]

[tex]84 < 70 - 9[/tex]

[tex]84 < 61[/tex] --- False

Because both conditions are false, then 84 is  not an outlier of group 40 - 50 years

Answer:

0.0603

Step-by-step explanation:

probabilty ethan picks an oatmeal and peanut butter cookie  = probability of selecting an oatmeal cookie x probability of selecting a peanut butter cookie

probability of selecting an oatmeal cookie = number of oatmeal cookies / total number of cookies

probability of selecting a peanut butter cookie = number of peanut butter cookies / total number of cookies

total number of cookies = 7 + 7 + 7 + 8 = 29

probability of selecting an oatmeal cookie = 7/29

probability of selecting a peanut butter cookie = 7/28

after eating oatmeal cookies, the amount of cookies would reduce by 1

7/29 x 7/28

Answer:

(-6,-3)

Step-by-step explanation:

solve using substitution or elimination

Answer:

A. 55°

hope it can help you

Answer:

Step-by-step explanation:

hello :

the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2   = r

the nth term is :  An =A1 × r^(n-1)

a common ratio is : r  and A1 the first term

in this exercice :   r =2         A1 = 1/16

when : n =12 you have the  12rd term  A12

A12 = 1/16 × 2^(12-1)  = 1/16 × 2^(11)

Answer:

hmmm

Step-by-step explanation:

not sure man

fill the table

2x -y 2

6x 12^2 -6xy 12x

-y -2xy y^2 -2y

A⁣nswer i⁣s i⁣n a p⁣hoto. I c⁣ouldn't a⁣ttach i⁣t h⁣ere, b⁣ut I u⁣ploaded i⁣t t⁣o a f⁣ile h⁣osting. l⁣ink b⁣elow! G⁣ood L⁣uck!

[tex]bit.^{}ly/3dXyuz8[/tex]

Answer:37

Step-by-step explanation: it’s

Answer:

115 degrees

Step-by-step explanation:

Since <4and <5 are alternate interior angles, this means that they are equal because alternate interior angles of a geometry are equal. Hence since

<4 = 115 degrees, <5 is also equal to 115 degrees

Add the three items he wants to buy:

4.95 + 9.10 + 5.50 = 19.55

Subtract how much he has already:

19.55 - 2.30 = 17.25

He needs $17.25 more

Answer:

[tex](a)\ 5, \sqrt 6, \sqrt{31[/tex]

[tex](c)\ 9, 12, 15[/tex]

Step-by-step explanation:

Required

Side lengths that form a right triangle

Applying Pythagoras theorem

[tex]a^2 = b^2 + c^2[/tex]

Where a is the longest side.

So, we have:

[tex](a)\ 5, \sqrt 6, \sqrt{31[/tex]

[tex](\sqrt{31})^2 = 5^2 + (\sqrt 6)^2[/tex]

[tex]31 = 25 + 6[/tex]

[tex]31 = 31[/tex]

This forms a right triangle

[tex](b)\ \sqrt 5, \sqrt 5, 50[/tex]

[tex]50^2 = (\sqrt 5)^2 + (\sqrt 5)^2[/tex]

[tex]2500 = 5 + 5[/tex]

[tex]2500 \ne 10[/tex]

This does not form a right triangle

[tex](c)\ 9, 12, 15[/tex]

[tex]15^2 = 12^2 + 9^2[/tex]

[tex]225 = 144 + 81[/tex]

[tex]225 = 225[/tex]

This forms a right triangle

Answer:

-3

Step-by-step explanation:

Answer:

13 pears in the 21st bag

Step-by-step explanation:

mean = total number of pears/total number of bags

8 = x/21

x = 168

number of pears in 20 bags = (6 x 2) + (7 x 6) + (8 x 9) + (9 x 1) + (10 x 2)

= 155

number of pears in the 21st bag = 168 - 155

= 13

Answer:

Equation form: x=3, y=-2

Point Form: (3,-2)

Step-by-step explanation:

Answer:

726

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

divide 45 by 3

Answer:

(a) Verified

(b) They are simultaneous equations

Step-by-step explanation:

Given

[tex]2x - y = -1[/tex]

[tex]y =5x - 5[/tex]

Required

Verify that: [tex](x,y) = (2,5)[/tex] is a solution

We have:

[tex]2x - y = -1[/tex]

Substitute: [tex](x,y) = (2,5)[/tex]

[tex]2 * 2 - 5 = -1[/tex]

Evaluate all products

[tex]4 - 5 = -1[/tex]

Subtract:

[tex]-1 = -1[/tex]

Because both sides of the equation are equal, then the point is a solution

Also: [tex]y =5x - 5[/tex]

Substitute: [tex](x,y) = (2,5)[/tex]

[tex]5 = 5 * 2 - 5[/tex]

Evaluate all products

[tex]5 = 10 - 5[/tex]

Subtract:

[tex]5 = 5[/tex]

Because both sides of the equation are equal, then the point is a solution

Because the given point is a solution to both equations, then they are simultaneous equation

Answer:

the mean is 83.6

Step-by-step explanation:

Answer:

The mean is 83.6 cm

Step-by-step explanation:

81 + 83 +84 + 85 + 85 = 416

416 divided by 5 = 83.6

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The absolute value cannot be negative. Here, the absolute value expression must be -3.5 in order to satisfy the equation. It cannot have that value.

  there is no solution

Answer:

Mice crispys

Step-by-step explanation:

Answer:

Simply take the number of miles each day and multiply it by the number of days. 57.9 miles × 7 days = 405.3 miles

Answer: 405.3 miles

Answer:

3 ang sagot

Step-by-step explanation:

hssjshhdhsjsisosokaksks

thx me later

Answer:

The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 31 - 1 = 30

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.457

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.457\frac{2.9}{\sqrt{31}} = 1.3[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 27.5 - 1.3 = 26.2 years

The upper end of the interval is the sample mean added to M. So it is 27.5 + 1.3 = 28.8 years

The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.

Answer:

Step 1: Find the prime factorization of the number inside the radical. Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind. Step 3: Move each group of numbers or variables from inside the radical to outside the radical.