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Zinaida [17]
3 years ago
14

Which expression is equivalent to 8/15? A. 8÷1/5 B. 8÷15 C. 15÷1/8 D. 15÷8

Mathematics
2 answers:
kvasek [131]3 years ago
4 0

Answer: B is the answer

Step-by-step explanation:

Karo-lina-s [1.5K]3 years ago
4 0
8 over 15 means 8 divided by 15, so B is the correct answer.
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Doug hits a baseball straight towards a 15 ft high fence that is 400 ft from home plate. The ball is hit 2.5ft above the ground
Scorpion4ik [409]

Answer:

125.4\ \text{m/s}

Step-by-step explanation:

u = Initial velocity of baseball

\theta = Angle of hit = 30^{\circ}

x = Displacement in x direction = 400 ft

y = Displacement in y direction = 15 ft

y_0 = Height of hit = 2.5 ft

a_y = g = Acceleration due to gravity = 32.2\ \text{ft/s}^2

t = Time taken

Displacement in x direction

x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}

Displacement in y direction

y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}

The minimum initial velocity needed for the ball to clear the fence is 125.4\ \text{m/s}

5 0
3 years ago
Which image shows a rotation of quadrilateral ABCD 270° around the origin?
Sever21 [200]

Answer:

The first one

Step-by-step explanation:

The second one is reflection over the x axis and the third is reflection over the y axis

4 0
3 years ago
Read 2 more answers
Ezra is training for a track race. he starts by sprinting 100 yards. he gradually increases his distance, adding 5 yards for 21
Shalnov [3]

the answer would be 200 i think

3 0
4 years ago
Read 2 more answers
Mrs. Taylor would like to construct a confidence interval for the number of highlighters that are borrowed and not returned in h
Furkat [3]

The confidence interval at a 90% confidence level is (60.9%,75.1%) if in the end of a semester, she loaned 115 highlighters and found that 68% were not returned option (A) is correct.

<h3>What is the margin of error(MOE)?</h3>

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

\rm MOE = Z\times{\sqrt \dfrac{p(1-p)}{n}\\

Where   Z is the z-score at the confidence interval

            p is the population proportion

            n is the number of samples.

We have p = 68% = 0.68

n = 115

Z score for 90% confidence interval = 1.64

\rm MOE = 1.64\times{\sqrt \dfrac{0.68(1-0.68)}{115}\\

MOE = 0.071

So the confidence interval will be:

= (0.68-0.071, 0.68+0.071)

= (0.609, 0.751)  or

= (60.9%, 75.1%)

Thus, the confidence interval at a 90% confidence level is (60.9%,75.1%) if in the end of a semester, she loaned 115 highlighters and found that 68% were not returned option (A) is correct.

Learn more about the Margin of error here:

brainly.com/question/13990500

#SPJ1

7 0
2 years ago
A cylinder has a volume of 360 in^3. If the height and radius are multiplied by 2.5, what will the resulting volume be?
4vir4ik [10]
\bf \textit{volume of a cylinder}\\\\&#10;V=\pi r^2 h\quad &#10;\begin{cases}&#10;r=radius\\&#10;h=height\\&#10;-----\\&#10;r=2.5r\\&#10;h=2.5h&#10;\end{cases}\implies V=\pi (2.5r)^2(2.5h)&#10;\\\\\\&#10;V=\pi \cdot 2.5^2\cdot  r^2\cdot 2.5h\implies V=(2.5^2\cdot 2.5)\pi r^2 h&#10;\\\\\\&#10;V=15.625\pi r^2h\impliedby \textit{15.625 of the original}&#10;\\\\\\&#10;\textit{if the original was 360}\qquad 15.265\cdot 360
5 0
3 years ago
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