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HACTEHA [7]
3 years ago
9

The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amo

unts they spend? The average expenditure in a sample survey of 50 male consumers was $135.67, and the average expenditure in a sample survey of 38 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $40, and the standard deviation for female consumers is assumed to be $23. What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females (to 2 decimals)?
Mathematics
1 answer:
sergeinik [125]3 years ago
7 0

Answer: $ 67.03

Step-by-step explanation:

Given : The average expenditure in a sample survey of 50 male consumers was $135.67, and the average expenditure in a sample survey of 38 female consumers was $68.64.

i.e. \overline{x}_1=\$135.67\ \ \&\ \ \overline{x}_2=\$68.64

The best point estimate of the difference between the two population means is given by :-

\overline{x}_1-\overline{x}_2\\\\=135.67-68.64=67.03

Hence, the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females : $ 67.03

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12 is 90% of what number?<br><br><br> with steps
a_sh-v [17]

Answer:

<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>
  • Here 12 is 90% of a number.
  • So we can say that 90% of That number is 12 .
  • In this way we can get the the number
<h3><u>Solution</u><u>:</u><u>-</u></h3>

Let,

the number=x

<h3>According to the question ,</h3>

{:}\longrightarrow\sf 90\% \:of \;x=12

  • We know 90%=90/100
  • so add it

{:}\longrightarrow\sf {\dfrac {90}{100}}\times x=12

{:}\longrightarrow\sf {\dfrac {90x}{100}}=12

  • Now use cross multiplication method

{:}\longrightarrow\sf 90x=12\times 100

{:}\longrightarrow\sf 90x=1200

  • Now interchange sides .

{:}\longrightarrow\sf x={\dfrac {1200}{90}}

{:}\longrightarrow\sf x={\dfrac {200}{15}}

  • Answer will come in decimals so we take approximate value.

{:}\longrightarrow\sf x=13.3

{:}\longrightarrow\sf x=approximately \:13

\thereforeThe number is 13.

6 0
3 years ago
HELP PLEASE! I will rate 5 stars and give brainliest!!!
larisa86 [58]

Answer:

see explanation

Step-by-step explanation:

The n th term ( explicit formula ) of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = - 95 and a₃₇ = - 270 , then

a₁ + 11d = - 95 → (1)

a₁ + 36d = - 270 → (2)

Subtract (1) from (2) term by term to eliminate a₁

25d = - 175 ( divide both sides by 25 )

d = - 7

Substitute d = - 7 into (1) and solve for a₁

a₁ + 11(- 7) = - 95

a₁ - 77 = - 95 ( add 77 to both sides )

a₁ = - 18 , thus

a_{n} = - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11

a_{n} = - 7n - 11 ← explicit formula

--------------------------------------------------------------

The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus

a_{n} = a_{n-1} - 7 with a₁ = - 18 ← recursive formula

5 0
3 years ago
The price of apples went down by $0.15 per pound. Kim bought 6 pounds of apples at the new price for a total of $8.88.
Tems11 [23]

Answer: (p x 6)+8.88= $9.78

Step-by-step explanation:

multiply 0.15 by 6

6 x 0.15= 0.90

add that to 8.88 and you get $9.78

hope this helps! ;P

7 0
3 years ago
What is the squad root of 81
lara [203]

Answer:

9

Step-by-step explanation:

<u>Step 1:  Find the square root of 81</u>

<u />\sqrt{81}

\sqrt{9*9}

\sqrt{9^{2}}

9

Answer:  9

8 0
4 years ago
Read 2 more answers
The expression 12xyz-45 is a a. monomial b. binomial c. trinomial d. constant
ANEK [815]

Answer:

Hey there!

12xyz-45 is a binomial. A binomial contains two terms.

Let me know if this helps :)

4 0
3 years ago
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