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3 years ago

1. Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49.

Mathematics

2 answers:

Anna35 [415]3 years ago

8 0

The answer is .83 cents. The cost of three cookies is $5.49 divided by 3 is $.85 giving you the cost of each cookie.

adell [148]3 years ago

5 0

Answer:

The answer on that problem is:0,83$ the one chocolate chip coockie.

Step-by-step explanation:

2,49$÷3 (to find the price of one coockie)

which is 0,83$

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3 years ago

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Find the value of k so that the line passing through the given points has slope m

masha68 [24]

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3 years ago

5. MAPPING Ben and Kate are making a

Rainbow [258]

Answer:

a. 1,000 yards

b. (2, -1)

Step-by-step explanation:

Coordinates of Ben's House = (6, 2)

Coordinates of Kate's House = (-2, -4)

a. Number of yards between Kate and Ben's House using instance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

$d = \sqrt{(6 -(-2))^2 + (2 -(-4))^2}$

$d = \sqrt{(8)^2 + (6)^2}$

$d = \sqrt{64 + 36}$

$d = \sqrt{100}$

$d = 10 units$

1 unit = 100 yards

Therefore, 10 units = 1,000 yards.

Kate and Ben's House are 1,000 yards apart.

b. Since Jason's home is halfway between Ben and Kate's House, therefore, Jason's location is the midpoint between Ben and Kate's House. Use the midpoint formula to calculate the coordinates of Jason's location on the map, using (6, 2) and (-2, -4).

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Plug in the values

$M(\frac{6 +(-2)}{2}, \frac{2 +(-4)}{2})$

$M(\frac{4}{2}, \frac{-2}{2})$

$M(2, -1)$

6 0

3 years ago

About how accurately must the tank's exterior diameter be measured to calculate the amount of paint it will take to paint the si

kondaur [170]

Answer: The error of the diameter would be 5% .

Step-by-step explanation:

Since we have given that

$S=2\pi rh$

Here, r is the radius

h is the height

So, it becomes,

$S=2\pi (\dfrac{D}{2})h\\\\S=\pi Dh\\\\S=\pi D\times 10\\\\S=10\pi D$

So, we will derivate S wrt D, we get that

$\dfrac{dS}{dD}=10\pi\\\\dS=10\pi dD$ ---------------------(1)

As we have given that

it will take to paint the side of the tank to within 5% of the true amount.

So, it becomes,

$dS=0.5\pi D$ ---------------(2)

So, from (1) and (2) , we get that

$0.5\pi D=10\pi dD\\\\\dfrac{0.5\pi}{10\pi}=\dfrac{dD}{D}\\\\0.05=\dfrac{dD}{D}=5\%$

Hence, the error of the diameter would be 5% .

5 0

4 years ago

In a recent Super Bowl, a TV network predicted that 53 % of the audience would express an interest in seeing one of its forthcom

rjkz [21]

<h3>Answer: -0.196</h3>

======================================================

Explanation:

We're conducting a one proportion Z test.

The hypothesized population proportion is p = 0.53, which is not to be confused with the p-value (unfortunately statistics textbooks seem to overuse the letter 'p'). Luckily this problem is not asking for the p-value.

The sample population proportion is

phat = x/n = 41/79 = 0.518987 approximately

The standard error (SE) is

SE = sqrt(p*(1-p)/n)

SE = sqrt(0.53*(1-0.53)/79)

SE = 0.056153 approximately

Making the test statistic to be

z = (phat - p)/(SE)

z = (0.518987 - 0.53)/0.056153

z = -0.19612487311452

z = -0.196

Which is approximate and rounded to 3 decimal places.

3 0

4 years ago