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Anna35 [415]
3 years ago
10

A dance teacher ask “How many are in rolled in the Saturday morning class this term” select from the drop-down menus to correctl

y complete the statement about the question. “ the. Question is “ statistical” or “not statistical” Because the data “vary” or “do not vary”
Mathematics
2 answers:
Zanzabum3 years ago
7 0

Answer:

statistical

Step-by-step explanation:

Vesnalui [34]3 years ago
5 0

Answer:Statistical and vary

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In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300
Oduvanchick [21]

Answer:

 The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total  sample 2 number  (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The  hypothesis (Null) ....>  H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ =  0.3 - 0.25/√0.2667  (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722,  then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0
3 years ago
Three points on the graph of the function f(x)f(x) are \{(0, 4), (1, 6), (2, 8)\}{(0,4),(1,6),(2,8)}. Which equation represents
Blababa [14]

Answer:

y = 2x + 4

Step-by-step explanation:

Slope: (6-4)/(1-0) = 2

y = 2x + 4

7 0
3 years ago
Factor the polynomial.
Juli2301 [7.4K]

(4y - 3x)(-y - 3) is the factored form of given polynomial - 4y^2 + 3xy - 12y + 9x

<em><u>Solution:</u></em>

Given that we have to factor the given polynomial

Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.

<em>Factoring a polynomial involves writing it as a product of two or more polynomials</em>

Given polynomial is: - 4y^2 + 3xy - 12y + 9x

Step 1 :

We can use factoring by grouping

Group -4y^2 with 3xy and −12y with 9x then factor each group.

\rightarrow (- 4y^2 + 3xy) + ( - 12y + 9x)

Taking -y as common term from first two terms and -3 as common term from last two terms

\rightarrow -y(4y - 3x) - 3(4y - 3x)

Now taking (4y - 3x) as common term

\rightarrow (4y - 3x)(-y - 3)

So the given polynomial is factored

3 0
3 years ago
Erica earns a salary of Rs 20 000 a week plus 10% commission on all sales.If the total sales for the week amounts for Rs 3500,wh
madam [21]

Answer:

Rs. 20350

Step-by-step explanation:

Total salary for the week

= Rs 20,000 + 10% of Rs 3500

= 20,000 +\frac{10}{100}  \times 3500\\\\= 20000+350\\= Rs\: 20350

7 0
3 years ago
Find the measure of the missing angles.<br> 83°C<br> b
harina [27]

Answer:

m\angle b=97^{\circ},\\m\angle c= 97^{\circ}

Step-by-step explanation:

Vertical angles are angles on opposites sides of an intersection of two lines. Therefore, \angle c and \angle b are vertical angles. Similarly, the angle opposite to the angle marked 83 degrees is also equal to 83 degrees. Vertical angles are always equal.

Since there are 360 degrees in a circle, we have the following equation:

\angle c+\angle b+83+83=360,\\2\angle c+166=360,\\2\angle c=194,\\\angle c=\frac{194}{2}=\boxed{97^{\circ}}

Since \angle c and \angle b are vertical angles and vertical angles are also equal, the measure of angle b is also \boxed{97^{\circ}}

3 0
3 years ago
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