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
worty [1.4K]
3 years ago
10

Sue chooses a dress and necklace to wear when she performs at a violin recital. The probability that Sue selects a black dress i

s 40%. The probability Sue selects a gold necklace is 30%. What is the probability that Sue chooses a black dress and a gold necklace?
Mathematics
2 answers:
Verizon [17]3 years ago
8 0

Answer:

Sue has a 12% chance of choosing a black dress and a gold necklace (as a fraction: 3/25, and as a decimal: 0.12).

Step-by-step explanation:

To find the probability of two separate events both occurring (in this case, selecting a black dress and a gold necklace), the probabilities are multiplied usually as fractions or decimals.

<u>As fractions:</u>

40% = 4/10

30% = 3/10

4/10 * 3/10 = 12/100 = 3/25, 0.12, or 12%


<u>As decimals:</u>

40% = 0.4

30% = 0.3

0.4 * 0.3 = 0.12 = 3/25, 0.12, or 12%


IrinaVladis [17]3 years ago
6 0

Answer: A) .12%

Step-by-step explanation: plato only

You might be interested in
Find the answer please
xz_007 [3.2K]

1st set = 4 letters

2nd set = 4x 4 = 16 letters

3rd set = 16 x 4 = 64 letters

4th set = 64 x 4 = 256 letters

5th set = 256 x 4 = 1,024 letters

6th set =1024 x 4 = 4,096 letters

7th set = 4096 x 4 = 16,384 letters

8th set = 16,384 x 4 = 65,536 letters

Each letter cost 2

Total cost = 65,536 x 2 = 131,072

7 0
3 years ago
6r-2(r+8)=11<br> Solve equation
pav-90 [236]

6r-2(r+8)=11\ \ \ \ |\text{use distributive property}\\\\6r-2(r)-2(8)=11\\\\6r-2r-16=11\ \ \ \ \ |+16\\\\4r=27\ \ \ \ \ |:4\\\\r=6.75

4 0
3 years ago
By car, John traveled from city A to city B in 3 hours. At a rate that was 20 mph
alex41 [277]
60 miles because (20mph)((3hrs) = 60
8 0
2 years ago
Read 2 more answers
A home store donated a percent of everybody sale to charity. The total sales were $6,550 so the store donated $393. What percent
Andrej [43]

Answer:

6%

Step-by-step explanation:

393/6550=0.06

0.06=6%

5 0
3 years ago
Professor Isaac Asimov was one of the most prolific writers of all time. Prior to his death, he wrote nearly 500 books during a
svp [43]

Answer:

Step-by-step explanation:

n = sample size = 5

a) Let us determine the sum

\sum x_i= 100+200+300+400+490=1490

\sum x_i^2= 100^2+200^2+300^2+400^2+490^2=540100

\sum y_i = 237+350+419+465+507=1978

\sum y_i^2= 237^2+350^2+419^2+465^2+507^2=827504

\sum x_i y_i=100  \times 237 + 200\times350+300 \times 419 + 400 \times 465 +  490 \times 507=653830

Now we can determine S_x_x, S_x_y, S_y_y

S_x_x = \sum x_i^2-\frac{(\sum x_1)^2}{n} \\= 540100 - \frac{1490^2}{5} \\= 96080

S_x_y = \sum x_i y_i -\frac{(\sum x_i)(\sum y_i) }{n} \\\\

653830 - \frac{1490 \times 1978 }{5}  = 64386

S_y_y = \sum y_i^2-\frac{(\sum y_i)^2 }{n} = 82750-\frac{1978^2}{5} \\\\= 45007.2

The estimate b of the slope β is the ratio of S_x_y and S_x_x

b = \frac{S_x_y}{S_x_x}

\frac{64386}{96080}  = 0.67

The mean is the sum of all value divide by number of values

\bar x= \frac{\sum x_i}{n} \\\\= \frac{100+200+300+400+490}{5} \\\\= \frac{1490}{5} = 298

\bar y= \frac{\sum y_i}{n} \\\\= \frac{237+350+419+465+507}{5} \\\\= \frac{1978}{5} = 395.6

The estimate a of the intercept is

a = \bar y - b \bar x

= 395.6 - 0.69 \times 298\\= 195.9

General least square equation;

\bar y = \alpha + \beta x

replace alpha by a = 3 and beta by b = 0.67 in general least equation

y = a + bx

195.9 + 0.67x

b)

<em>Scatter plot is shown in the attached file</em>

x is on the horizontal axis

y is n the vertical axis

The degree of freedom of regression is 1

because we use one variable s predictor variable

d_f_R = 1

The degree of freedom of error is the sample size n decrease by 2

d_f_E =n-2= 5 - 2=3

Total df is equal to the sum  of seperate degree of freedom dfR  and dfE

total df = 1 +3  4

SSR = \frac{(S_x_y)^2}{S_x_x} = \frac{64386^2}{96080} \\\\= 43146.9296

Total SS =Syy= 45007.2

SSE + Total SS = SSR

= 45007.2 - 43146.9296

= 1860.2705

7 0
3 years ago
Other questions:
  • Can someone help me with this question plz?
    13·1 answer
  • Nora's savings account has a balance of $3979. After 4 years, what will the amount of interest be at 12% compounded semiannually
    13·2 answers
  • (x+2)(x-18)=0<br><br>FIND THE SOLUTIONS OF THE EQUATION
    13·2 answers
  • Mary has 3 rolls of wallpaper. Each roll can cover 127.8 sq ft. If Mary uses all 3 rolls of wallpaper how much sq ft would it co
    6·1 answer
  • Jasmine writes this pattern.<br> 1,4, 7, 10, 13,...
    13·2 answers
  • Si tengo 3 galletas y las tengo que repartir en 4 niños cuanto le toca a cada niño
    15·1 answer
  • Use properties to find the sum of 34 + 0+18+26
    5·2 answers
  • The boy scouts are selling two types of popcorn as part of a fundraiser, butter and caramel. Butter popcorn sells for $5 per bag
    12·2 answers
  • If you needed to buy at least 5 water bottles AND at least 8 water bottles, how many water bottles would you need to by?
    13·2 answers
  • Which statement describes the graph of g(x) with respect to the graph of f(x)?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!