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sashaice [31]
2 years ago
14

Bob is having a party and want to order some cake. there will be 57 guest and he wants to make sure that everyone gets a slice o

f cake. he wants to pay as little as possible for the cakes and for them to be the same size. First cake 20cm, serve 12 people and cost £13.50, second cake 25cm, serve 20 people and cost £18.75
Mathematics
1 answer:
Dafna1 [17]2 years ago
4 0
To find out which cake is better for the price, we need to multiply the cake amounts by how many cakes of that kind we need. You need 5 20cm cakes, so we multiply 5 by the price of the 20cm cake (13.50) to get $67.50. You need 3 25cm cakes, so 3 x 18.75 = 56.25.

20cm cake: $67.50
25cm cake: $56.25

Answer: The 25cm cake is cheaper for more people.
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An angle t is drawn from the center of the unit circle. Find a formula in terms of t for the straight line distance d between th
Doss [256]

Answer:

d = \sqrt{2}\cdot \sqrt {1-\cos t - \sin t}

Step-by-step explanation:

Let suppose that one of the radii meets the circle at the point (1,0). The straight line distance formula is:

d = \sqrt{(\cos t - 1)^{2}+(\sin t - 1)^{2}}

d = \sqrt{(\cos^{2}t - 2\cdot \cos t + 1)+(\sin^{2}t - 2\cdot \sin t + 1)}

d = \sqrt{2-2\cdot (\cos t + \sin t )}

d = \sqrt{2}\cdot \sqrt {1-\cos t - \sin t}

5 0
1 year ago
A metal disc of 12cm in diameter and 5cm thick is melted down and cast into a cylindrical bar of diameter 5cm .How long is the b
Trava [24]

Answer:

d bar

Step-by-step explanation:

3 0
2 years ago
A researcher in environmental science is conducting a study to investigate the impact of a particular herbicide on fish. He has
Vedmedyk [2.9K]

Answer:

The herbicide has no impact on fish

Step-by-step explanation:

Experimental research includes to divide the concerned group 'fishes' here into 'treatment' & 'control' group, to study impact of a treatment. Hypothesis test the statistical significance of  propositions. Null hypothesis signifies no impact, alternate hypothesis signifies impact.

Let averages enzyme level of treatment & control be Xt & Xc

  • Null Hypothesis [H0] : Xt = Xc, or Xt - Xc = 0
  • Alternate Hypothesis [H1] : Xt ≠ Xc, or Xt - Xc ≠ 0

If hypothesis test suggests that there is no significant difference between treatment & control group enzyme level, so we reject H0 & accept H1. It implies that the herbicide has no significant impact on fishes enzymes.

8 0
1 year ago
The table represents an exponential function. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4
GenaCL600 [577]

Answer:A. on edge

Step-by-step explanation:

Just took the quiz.

5 0
1 year ago
The prices of three t-shirts styles are $24, $30 and $36. the probability of choosing a $24 t-shirt is 1/6. the probability of c
Slav-nsk [51]

\text{Answer} : \text{The expected value of a t-shirt is \$31.}

Explanation:

Since we have given that

The prices of three t-shirts styles  i.e $24, $30, $36 with their probability is given by

\frac{1}{6}, \frac{1}{2},\frac{1}{3}

As we know that,

E(X)= \sum_{1}^{3}x_iP(x_i)

\text{where} x_i \text{ is the prices of t- shirts styles}

Now,

x_1= \$24 , x_2=\$30 , x_3=$36

and

P(x_1)=\frac{1}{6},P(x_2)=\frac{1}{2}, P(x_3)=\frac{1}{3}

So,

E(X)= 24\times \frac{1}{6}+30\times\frac{1}{2}+36\times \frac{1}{3}\\=4+15+12\\=31

So, the expected value of a t-shirt = $31.

4 0
2 years ago
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