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3 years ago

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The price of a cup of coffee was $2.65 yesterday. Today, the price fell to $2.40 . Find the percentage decrease. Round your answ

er to the nearest tenth of a percent.

1 answer:

telo118 [61]3 years ago

6 0

Answer:

decreased by twenty five percent

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Three-fourths of the sum of six times a number and twelve distribute

dimaraw [331]

Answer:

Step-by-step explanation:

Let x be the number.

6 times the number = 6*x = 6x

Sum of 6 times of a number and twelve = 6x + 12

Three-fourths of the sum of 6 times of a number and twelve = $\frac{3}{4}(6x +12)$

$\frac{3}{4} ( 6x + 12) = \frac{3}{4}*6x + \frac{3}{4}*12\\\\$

$= \frac{3}{2}*3x + 3*3\\\\=\frac{9}{2}x + 9$

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3 years ago

The appropriate test statistic for testing the equivalence of two variances is which of the following?

strojnjashka [21]

Answer: C
Hope this helped

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3 years ago

A poll of 1068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At a

zubka84 [21]

Answer:

Z = -1.333

P-value = 0.09176

Decision Rule: Reject $H_o$ if ∝ is greater than the P-value

Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.

Step-by-step explanation:

Given that:

The sample size of the poll = 1068

The proportion of voters that preferred Democratic candidate is $\hat p$ = 0.48

To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5

The null hypothesis and the alternative hypothesis can be computed as:

$H_o : p \geq 0.50$

$H_1 : p < 0.50$

Using the Z test statistics which can be expressed by the formula:

$Z = \dfrac{\hat p - p}{\dfrac{\sqrt{p(1-p) }}{n}}}$

$Z = \dfrac{0.48 - 0.5}{\dfrac{\sqrt{0.5(1-0.5) }}{1068}}}$

$Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.5(0.5) }}{1068}}}$

$Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.25}}{1068}}}$

$Z = \dfrac{-0.02}{0.015}$

Z = -1.333

P-value = P(Z< -1.33)

From z tables,

P-value = 0.09176

The level of significance ∝ = 0.05

Decision Rule: Reject $H_o$ if ∝ is greater than the P-value

Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.

5 0

3 years ago

Please Help - Suppose f(t)=6t−8−−−−√.

Gnoma [55]

$(a)\\\\\\\text{Given that,}~~\\\\ f(t) =\dfrac 6{\sqrt{t-8}}\\\\\\\\\implies f'(t) = 6\left[\dfrac{\left(\sqrt{t-8}\right) \cdot 0 - \dfrac 1{2\sqrt{t-8 }}}{\left(\sqrt{t-8}\right)^2}\right]\\\\\\\\\implies f'(t) = -6\left(\dfrac {\dfrac 1{2\sqrt{t-8}}}{t-8}\right)\\\\\\\implies f'(t) = -6\left(\dfrac{1}{2\sqrt{t-8} (t-8)}\right)\\\\\\\implies f'(t) =-\dfrac 3{(t-8)^{\tfrac 32}}$

(b)

$\text{Given that,}\\\\y=f(t)\\\\\text{Slope of y,} ~~ f'(t) =-\dfrac 3{(t-8)^{\tfrac 32}}\\\\\text{At point (33, 6/5)}\\\\\\f'(t) = -\dfrac 3{(33-8)^{\tfrac 32}} = - \dfrac 3{ (25)^{ \tfrac 32}} = - \dfrac 3{5^3} = -\dfrac 3{125}\\\\\\\text{Equation with given points,}\\\\y - \dfrac 65 = -\dfrac 3{125} ( t - 33)\\\\\\\implies y =-\dfrac 3{125} t +\dfrac{99}{125} + \dfrac 65\\\\\\\implies y = -\dfrac 3{125} t +\dfrac{249}{125}$

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2 years ago

Porque esos objetos tienen forma de esfera?

Flura [38]

Answer:

following are the solution to the given question:

Step-by-step explanation:

It must get everything, or to at least little of it. Unless the shape of even a ball is modified into a square, for example, it simply will not work that form it is used, because it normally can't bounce or roll. There is no issue with other products if modified, for example in an application, as it is quadratic, it will function the same way.

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3 years ago