1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lesya [120]
2 years ago
10

Direction: Read and understand each problem and solve. Show your solution if necessary.

Mathematics
1 answer:
Elan Coil [88]2 years ago
4 0

[1] 0.25, 0.25%, or \frac{1}{4}

     We will divide the number of wanted outcomes by possible outcomes.

\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{5}{3+5+12} =\frac{5}{20} =\frac{1}{4}

[2]

     We will follow the same steps as problem 1.

MTHMTCS = 7 consonants

AEAI = 4  vowels

MTHEMTICS = 9 letters that are not A's

MATHEMATICS = total of 11 letters

(a)

\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{7}{11}

(b)

\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{4}{11}

(c)

\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{9}{11}

[3] 0.877

     If the probability that a television is defective is 0.123, then the probability that a television is not defective is:

1 - 0.123 = 0.877

You might be interested in
A chef uses 4 3/4 cups of broth for 10 servings of soup. How much broth is used in one serving of soup?
sukhopar [10]

Answer:

43

hi

hi

hi

hi

Step-by-step explanation:

3 0
2 years ago
Joelle is working on a school report in a word processor. She wants to place a figure which is 13.09 \text{ cm}13.09 cm13, point
dimulka [17.4K]
Subtract 13.09 from 21.59 giving you 8.5. Since the amount of space on both the left and right margin have to be equal you would divide by 2 to get 4.25 on the left margin as well as the right.
3 0
3 years ago
Read 2 more answers
Can u help me to answer it. please and thankyou
ruslelena [56]
I know hwo can help you
3 0
2 years ago
5cosx -2sin(x/2) +7=0<br>Help me to find x step by step<br>pls​
miskamm [114]

Answer:

x = 180

Step-by-step explanation:

First, you need to know

1. Double-angle formula:

cos(2x) = cos^{2}x - sin^{2}x

2. Pythagorean identity:

cos^{2}x + sin^{2}x = 1

Back to your problem, replacing the variable by the above:

5cosx-sin\frac{x}{2}+7 = 0

5(cos^{2}\frac{x}{2}-sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0 By Double-angle formula

5(1 - 2sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0 By Pythagorean identity

Given y = \frac{x}{2}

5(1-2sin^{2}y) - 2siny + 7 = 0

10sin^{2}y+2siny-12=0

5sin^{2}y+siny-6=0

(5siny + 6)(siny - 1)=0, we know -1 < sinx < 1, for every x ∈ R

siny = 1, y =90

y = \frac{x}{2}

x = 180

8 0
3 years ago
a suit is being sold at a 20 % off (discount). The sale price is $ 270. What was the original price ?
Lisa [10]

Answer:

The original price is 337.50

Step-by-step explanation:

If we get 20% off, we still have to pay 100-20 =80%

Let x be the original price

x *80% = 270

.80x = 270

Divide each side by .80

.80x/.80 = 270/.80

x =337.50

The original price is 337.50

5 0
3 years ago
Read 2 more answers
Other questions:
  • Graph the function and answer each of the following questions, f(x) = -3x + 5
    15·1 answer
  • You and a roommate are hosting a party. You invite 10 other pairs of roommates. During the party you poll everyone at the party
    9·1 answer
  • Guys I need the right answer ASAP look at the pic and give me the surface area the options are
    5·1 answer
  • Help me please!!!!!!!!!
    8·1 answer
  • The length of a square is 4x-3. Find the area in terms of x
    12·1 answer
  • What percent of 320 is 64
    13·2 answers
  • What is the volume of a rectangular prism with a length of 14 m, height of 6
    13·2 answers
  • The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.
    6·1 answer
  • Find the surface area of the rectangle:<br> 8 cm<br> 5 cm<br> 12 cm
    13·2 answers
  • Write the equation of a line that is<br> parallel to 3x + Oy = -9 through the<br> point (3, 3).
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!