Which of the following equations has infinitely many solutions?

A.
b+2=b+2

B.
b= -b+2

C.
b+2=b-2

D.
b+b=2

Answer:

(48.106 ; 53.494)

Step-by-step explanation:

Given the data:

X : 52 48 49 52 53

Sample mean = ΣX / n

n = 5

Sample mean, xbar = 254 / 5 = 50.8

Standard deviation, s = 2.17 (using calculator)

The standard error (SE) : s/√n =2.17/√5 = 0.970

The degree of freedom, df = n-1

df = 5 - 1 = 4

Tscore(0.05, 4) = 2.776

Confidence interval :

Xbar ± Tscore*standard error

50.8 ± (2.776 * 0.970)

50.8 ± 2.694

Lower boundary = 50.8 - 2.694 = 48.106

Upper boundary = 50.8 + 2.694 = 53.494

(48.106 ; 53.494)

Answer:

83 is still the mode

Step-by-step explanation:

The maximum possible value for the new mode is 83.

The data value that is repeated the most in the data set is called the mode of the given data set.

Given is that Mrs. Joyce calculated the class mode on her latest test. 18 students took it and the mode was 83. Three days later the four absent kids made it up and scored 77, 83, 68, and 80.

Initially, the mode of the class of 18 students is 83. This means that most of the students scored the 83 marks in the test. After four students took the test, the maximum probability that the mode will remain 83 is the highest. Also, one of the four numbers scored 83 itself.

Therefore, the maximum possible value for the new mode is 83.

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Answer:

54 degrees

Step-by-step explanation:

So, lets go over what we know.

Angle PRS is 90 degrees(we can tell by the small square shape inside of the angle)

We also know that Angle PR is 36 degrees.

We need to find x, angle RS.

To do this, lets subtract Angle PR from Angle PRS, or 36 from 90:

90-36

=

54

Since Angle PRS - Angle PR = Anlge RS, this means:

90-36=54

So 54 is our answer!

Hope this helps!

Answer:

6

Step-by-step explanation:

I just learned this!! :)

Answer:

it has 6 faces

Step-by-step explanation:

Answer:

The correct answer is 30 in.

Step-by-step explanation:

In order to find the diagonal length of the face of the suitcase, you need to use the Pythagorean Theorem, a formula used to calculate the sides of a right triangle. Since the length and width of the suitcase are 24 in. and 18. respectively, that means the diagonal length will be equal to [tex]\sqrt{24^2+18^2}[/tex] = [tex]\sqrt{576+324}[/tex] = [tex]\sqrt{900}[/tex] = 30 inches.

Answer:

Step-by-step explanation:

Assuming the dark gray area is a straight line, the whole thing should add up to 180*. If we have our 180*, minus 79*, you'll have 101*. BUT, we also have to divide that by two to get our x answer, so the value of x would be 50.5*.

Answer:

A) p = 0.041

B) UCL = 0.1004

LCL = 0

Step-by-step explanation:

We are told that Ten random samples of calls each were monitored .

Thus; n_x = 10

We are told that each sample has 100 calls. Thus; n = 100

A) We are given the number of calls in each sample not resulting in a satisfactory resolution for the customers as;

4 5 3 2 3 3 4 6 4 7

Thus, sum of this is;

Σx = 4 + 5 + 3 + 2 + 3 + 3 + 4 + 6 + 4 + 7

Σx = 41

proportion of calls not resulting in a satisfactory outcome for the customer when the center is in control is given by;

p = Σx/(n_x•n)

p = 41/(10 × 100)

p = 41/1000

p = 0.041

B) let's first find the standard deviation.

It's given by the formula;

σ = √(p(1 - p)/n)

σ = √(0.041(1 - 0.041)/100)

σ = 0.0198

Formula for Upper control limit(UCL) and Lower control limit(LCL) are given as;

UCL = p + 3σ

LCL = p - 3σ

Thus;

UCL = 0.041 + 3(0.0198)

UCL = 0.1004

LCL = 0.041 - 3(0.0198)

LCL = -0.0184

Rule is that when LCL is negative, we adopt LCL = 0.

Thus;

UCL = 0.1004

LCL = 0

Answer:

answer in picture

Step-by-step explanation:

Answer:

24 possible ways

Step-by-step explanation:

When a member is chosen to occupy a leg of the 4-member relay, the same member can not be chosen again, because one member cannot occupy more than one leg.

As one person is chosen to run one leg, the options decrease by one. And like the first leg, one person cannot run more than one leg.

This cycle will repeat until the last person occupies the remaining empty leg.

[tex]4! \\= 4*3*2*1\\=12 * 2 * 1\\=24*1\\=24[/tex]

Answer:

4

Step-by-step explanation:

Here,BC=1/2FH

BC=8/2

BC=4

This is the required answer

hope it helps u and keep smiling :)

Answer:

560 Tickets

Step-by-step explanation:

40 tickets in 30 minutes will become 80 tickets in 60 minutes (an hour)

Multiply 80 by 7 to get 560

9514 1404 393

Answer:

  B.  8.625 ft²

Step-by-step explanation:

The total area is the sum of the areas of the two rectangular sections and the area of the triangular section. The area formulas are ...

  A = LW . . . rectangle

  A = 1/2bh . . . triangle

Here, the dimensions are such that we can simplify the problem a bit

  total area = (1.5)(2.5) +1/2(1.5)(1.5) + (1.5)(2.5)

  = (1.5)(2.5 + 1.5/2 + 2.5)

  = (1.5)(5.75) = 8.625 . . . . . ft²

The total surface area of the desk is 8.625 square feet.

Answer:

answer 12.5

Step-by-step explanation:

25% of 50 is 12.5 because 50 ÷ 4 = 12.5 Hope that helps!

Answer:

57 i think

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

90 - 40% = 57

Answer:

The shoes would be $57

Step-by-step explanation:

To calculate percentage you use the equation:

P% x N = A

Before we use it we convert the number 40 into the tenths place of a decimal, 0.40.

Now we use it!

.40 x 95 = 38

38 would be 40%, so we remove it from the last total aka 95

95 - 38 = 57

Answer:its a

Step-by-step explanation:-4.5+4.4 is -0.1 so if you add that to -6.7 you get

-6.8 + 6.8 =0

Answer:

25

Step-by-step explanation:

(14÷2)×5+6(3×(4+1))÷5

using BODMAS

7×5+6(3×5)÷5

=7×5+6×15÷5

=35+90÷5

=125÷5

=25

Answer:

1. (14 ÷ 2) x 5 + 6 = 41

2. {3 x (4 + 1)} ÷ 5 = 3

Step-by-step explanation:

PEMDAS. VERY IMPORTANT. THIS ACRONYM WILL HELP YOU WHEN SOLVING MULTI-STEP PROBLEMS. IF YOU DO NOT KNOW IT, SEARCH IT UP. I'LL BE USING PART OF THIS ACRONYM TO SOLVE THIS PROBLEM.

First you solve things in paratheses:

1. (14 ÷ 2) x 5 + 6 -> (7) x 5 + 6

2. {3 x (4 + 1)} ÷ 5 -> {3 x 5} ÷ 5 -> 15 ÷ 5

Then, you multiply or divide next:

1. (7) x 5 + 6 -> 35 + 6

2. 15 ÷ 5 = 3

We already have the answer to number 2, but not number one, so we will keep going. Finally, you subtract or add:

1. 35 + 6 = 41

Now you have your answers. Hope this helps!

Answer:

it dropped 9% from last year

Answer:

3) D) 4 / 5

4) A) 4 / 5

5) B) 7 / 25

Step-by-step explanation:

Each of these trigonometric ratios can be remembered by the moniker

SOH - CAH -TOA

Sine = opposite over hypotension

Cosine = adjacent over hypotenuse

Tangent = adjacent over opposite

3) D) 4 / 5

4) A) 4 / 5

5) B) 7 / 25

Step-by-step explanation:

Each of these trigonometric ratios can be remembered by the moniker

SOH - CAH -TOA

(Sin)Sine = opposite/ hypotenuse

(Cos)Cosine = adjacent/hypotenuse

(Tan)Tangent = adjacent/opposite

Answer:

b. 366 square inches

Step-by-step explanation:

The area of a triangle is 1/2×Base×Height. There are 2 pairs of identical triangles so you multiply each equation by 2.

2×(1/2×10×12) = 120 in²

2×(1/2×18×12) = 216 in²

120 in² + 216 in² = 336 in²

Answer:

336 square units

Step-by-step explanation:

Generally, to find the area of the given quadrilateral (which is presumably a kite), one uses the following formula,

[tex]\frac{(base)*(hieght)}{2}[/tex]

In this picture, one can see that the diagonals (dotted lines that connect opposite corners) are given, but their measurements are split up as per the segments they are divided into. In order to find the lengths of each diagonal, add up the two parts. To find the area of the figure, substitute the results into the given formula to find the area,

[tex]12+12=24\\\\10 + 18 = 28[/tex]

Substitute,

[tex]\frac{24*28}{2}\\\\=\frac{672}{2}\\\\=336[/tex]

Answer:

f(x) = 3x³ + x² + 22

Step-by-step explanation:

Given

f'(x) = 9x²+2x

To get f(x), we will be integrating the function

f(x) = 9x³/3 + 2x²/2 + C

f(x) = 3x³ + x² + C

at (-2,2)

2 = 3(-2)³ +(-2)² + C

2 = -24 + 4 + C

2 = -20 + C

C = 2+20

C = 22

Get the required function

f(x) = 3x³ + x² + C

f(x) = 3x³ + x² + 22

Answer: x > 4 OR (4, infinity)

Step-by-step explanation:

2x + 3 > 11 subtract 3

2x > 8 divide by 2

x > 4 your answer

Answer:

im pretty sure its C

Step-by-step explanation:

answer:

c)780

step-by-step explanation:

a=2(wl+hl+hw)

=2·(10·4+25·4+25·10)

=780

a=780

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

x ≥ 2

Step-by-step explanation:

Shaded circle means ≥ or ≤ . Since the arrow is pointing right, it's showing 2 is greater than or equal to x, meaning ≥ .

Answer:

Your answer is C

Step-by-step explanation:

The definition of similarity is when one shape can become another after a resize, flip, slide or turn.

If you multiply AD, which is 6, by 1.5 you get 9. Which is the length AC.

If you multiply AE, which is 10, by 1.5 you get 15. Which is the length of AB.

Both triangles share angle A, so that leaves you with SAS Similarity.

Answer:

1/3

Step-by-step explanation:

There are 6 sides on a number cube, and 2 numbers on the cube that are less than 3... 1 and 2. So, 2/6 or 1/3 is the probability that the cube would land on a number less than 3.