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MaRussiya [10]
2 years ago
5

What is the range of the function f(x) = −(x + 3)2 + 7?

Mathematics
1 answer:
lukranit [14]2 years ago
5 0

Answer:

A.

Explanation:

I might be too late, but it might help others in need of this question.

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Daniel works at an electronics store, and he claims that the popularity of a television (measured in number of sales) is inverse
Rom4ik [11]

We are given that popularity of television is inversely proportional to its cost.

let us say popularity of television is represented by "P" and cost of television by "T".

We will use a constant "k" to convert the proportionality sign to equal to (=) sign.

Thus forming the equation :

P= \frac{k}{T}

We are given that 15 customers buy a television that cost $1500.

plugging P=15 and T=1500, finding k,

15= \frac{k}{1500}

k=15*1500 = 22500

Next we have to find how many customers would buy a television that costs $2500, so here k=22500 and T=2500, plugging this in the equation we have ,

P= \frac{22500}{2500}

P=9

So there will be 9 customers that buy a television which costs $2500.

7 0
3 years ago
Read 2 more answers
Yara collects postage stamps. she has 1564 stamps in her collection. of Yara places an equal number of stamps in each of 6 books
Wewaii [24]
She would have 4 stamps left over because 250 times 6 equals 1,560.
8 0
3 years ago
Suppose we wish to demonstrate that there is a difference between the proportions of wives and husbands who do laundry at home.
maxonik [38]

Answer:

Step-by-step explanation:

From this study:

The null hypothesis:

H_o : p_1 =p_2

The altenative is:

H_a : p_1 \ne p_2

This test is a two-tailed test.

However; we are told that the wives have 44 success out of 66, then the number of failures will be 22.

Then;

\hat p_1 = \dfrac{44}{66}

\hat p_1 = 0.6667

Similarly, the husbands have 18 success out of 46, then the number of failures will be 28

Then:

\hat p_2 = \dfrac{18}{46}

\hat p_2 = 0.3913

The pooled proportion p = \dfrac{18+44}{66+46}

p = \dfrac{62}{112}

p = 0.55357

The estimated standard error S.E is:

= \sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}

= \sqrt{ 0.55357(1-0.55357) \Big( \dfrac{1}{66} + \dfrac{1}{46} \Big)}

=\sqrt{ 0.55357(0.44643) \Big(0.01515 + 0.021739 \Big)}

=\sqrt{ 0.00911638798}

= 0.0955

The Z test statitics can now be computed as:

Z = \dfrac{ \hat p_1 - \hat p_2}{\sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}}

Z = \dfrac{0.6667 -0.3913}{0.0955}

Z = 2.88

Th p -value from the test statistics is:

p-value = 2P(Z > 2.88)

p- value = 2 P (1 - Z < 2.88)

p-value = 2 ( 1 - 0.998)

p-value = 2 ( 0.002)

p -alue = 0.004

Decision Rule:

Thus, at 0.01 significance level, we reject the null hypothesis because, p-value is less than that (i.e. significance level)

Conclusion:

We conclude that there is a significant  difference between the proportions.

5 0
3 years ago
judy got 117 problems right on a math test in her night school class. She got a score of 78% right. How many problems were on th
scZoUnD [109]
You would set this up as Part÷Whole=Percent÷100
Part=117
Whole= X
Percent=78
117÷X=78÷100
Set these up as fractions and cross multiply. You will get 117×100=78X
117×100=11,700
Divide both sides by 78 and you get x=150
There were 150 problems
6 0
3 years ago
Which point is a reflection of (1.5, -4.5) across the x-axis and the y-axis? A. Point I B. Point J C. Point K D. Point L E. Poin
sammy [17]

Answer:

B. point J>C

Step-by-step explanation:

4 0
4 years ago
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