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9966 [12]
3 years ago
14

Find the value of x.

Mathematics
1 answer:
Olenka [21]3 years ago
3 0

Step-by-step explanation:

if 25 is an answer, its that

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A website sells a dress at £40 and shoes at £32. The website has an offer: Buy a dress and shoes together and get 1/2 off the pr
tekilochka [14]

Answer:

\pounds36

Step-by-step explanation:

Cost of one dress = \pounds40

Cost of one pair of shoes = \pounds32

Cost of one dress and a pair of shoes is 40+32=\pounds72

They get half off the price because they buy both

\dfrac{72}{2}=\pounds32

The shipping and handling charge is \pounds4.

So, the total amount Ruth has to pay is 32+4=\pounds36.

6 0
3 years ago
An experimenter flips a coin 100 times and gets 59 heads. Find the 98% confidence interval for the probability of flipping a hea
lara [203]

Answer:

The 98% confidence interval for the probability of flipping a head with this coin is (0.4756, 0.7044).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

An experimenter flips a coin 100 times and gets 59 heads.

This means that n = 100, \pi = \frac{59}{100} = 0.59

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.59 - 2.327\sqrt{\frac{0.59*0.41}{100}} = 0.4756

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.59 + 2.327\sqrt{\frac{0.59*0.41}{100}} = 0.7044

The 98% confidence interval for the probability of flipping a head with this coin is (0.4756, 0.7044).

5 0
3 years ago
Which strategy would you use to divide 36÷6?explain why you chose that strategy.
jolli1 [7]
36 divided by 6 is like sharing 36 orranges among 6 people
a   a   a   a   a   a|---------------------------1st Person
a   a   a   a   a   a|---------------------------2nd Person
a   a   a   a   a   a|---------------------------3rd Person
a   a   a   a   a   a|---------------------------4th Person 
a   a   a   a   a   a|---------------------------5th Person
a   a   a   a   a   a|---------------------------6th Person 

Each person receives 6 oranges evenly so 36/6 = 6
I used this strategy because it is the easiest to understand
4 0
3 years ago
Read 2 more answers
mr.young has 30 times as many pencils as jack. the whole school has 200 times as many pencils as jack. if jack has 2 pencils, ho
inna [77]
Mr.young has 60 pencil and the school has 400 pencils.
I'm not quite sure, but i think this is the answer
6 0
4 years ago
What is the range of the function y = x 2?
Leno4ka [110]

Answer:

\mathrm{Range\:of\:}x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

The graph is also attached below.

Step-by-step explanation:

Given the function

y=x^2

  • We know that the range of a function is the set of values of the dependent variable for which a function is defined.

\mathrm{For\:a\:parabola}\:ax^2+bx+c\:\mathrm{with\:Vertex}\:\left(x_v,\:y_v\right)

\mathrm{If}\:a

\mathrm{If}\:a>0\:\mathrm{the\:range\:is}\:f\left(x\right)\ge \:y_v

a=1,\:\mathrm{Vertex}\:\left(x_v,\:y_v\right)=\left(0,\:0\right)

f\left(x\right)\ge \:0

Thus,

\mathrm{Range\:of\:}x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

The graph is also attached below.

5 0
3 years ago
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