Find the value of x.

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