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Karo-lina-s [1.5K]
3 years ago
15

You and a friend start riding bikes toward

Mathematics
1 answer:
Setler [38]3 years ago
7 0

Answer:

1.5 hours

I traveled farther

2 miles

Step-by-step explanation:

\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}

My speed

\dfrac{2\dfrac{1}{6}}{\dfrac{1}{4}}=\dfrac{\dfrac{13}{6}}{\dfrac{1}{4}}=\dfrac{26}{3}\ \text{mph}

Speed of my friend

7\dfrac{1}{3}=\dfrac{22}{3}\ \text{mph}

Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let t be the time taken to meet

\text{Distance}=\text{Speed}\times\text{Time}

\dfrac{26}{3}t+\dfrac{22}{3}t=24\\\Rightarrow \dfrac{48}{3}t=24\\\Rightarrow 16t=24\\\Rightarrow t=\dfrac{24}{16}\\\Rightarrow t=1.5\ \text{hours}

So, we meet each other after 1.5 hours.

Distance traveled by me

\dfrac{26}{3}\times 1.5=13\ \text{miles}

Distance traveled by my friend

\dfrac{22}{3}\times 1.5=11\ \text{miles}

So, I traveled farther by 13-11=2\ \text{miles}.

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select the correct answer. and the figure, angle k measures 45°. what is the measurement of angle c? 38° 45° 90° 98°.
LuckyWell [14K]

From the figure, we can conclude that the little triangle is an isosceles triangle, the greatest angle is 90 because ∠A = 90 and they are supplementary, therefore, using the triangle sum theorem:

\begin{gathered} m\angle J=m\angle K \\ m\angle K+m\angle K+90=180 \\ 2m\angle K=180-90 \\ 2m\angle K=90 \\ m\angle K=\frac{90}{2} \\ m\angle K=45 \end{gathered}

8 0
1 year ago
ASAP! Simplify -5 - square root -44
Tju [1.3M]

Answer:

\boldmath-5-2i\sqrt{\boldmath11}

Step-by-step explanation:

The not simplified form is -5-\sqrt{-44}

you know that \sqrt{a\times b} = \sqrt{a} \times\sqrt{b} is true a and b are both positive or one of it is negative (not both of them).

You can write -44 as -1 × 4 × 11 inside square root.

So, \sqrt{-44} = \sqrt{-1\times4\times11}=\sqrt{-1}\times\sqrt{4}\times\sqrt{11}=i\times2\times\sqrt{11}         (\sqrt{4}=2)

\therefore -5-\sqrt{-44} = -5-2i\sqrt{11}

(NOTE : You must know that \boldmath\sqrt{\boldmath-1} is written as \boldsymbol i )

5 0
3 years ago
7. Kayce made $16 to $28 dollars per horse for grooming them. What is a reasonable amount of money she made if she groomed 18 ho
juin [17]
The answer should be h.380
5 0
3 years ago
A publisher reports that 344% of their readers own a particular make of car. A marketing executive wants to test the claim that
inysia [295]

Answer:

No, there is not enough evidence at the 0.02 level to support the executive's claim.

Step-by-step explanation:

We are given that a publisher reports that 34% of their readers own a particular make of car. A random sample of 220 found that 30% of the readers owned a particular make of car.

And, a marketing executive wants to test the claim that the percentage is actually different from the reported percentage, i.e;

Null Hypothesis, H_0 : p = 0.34 {means that the percentage of readers who own a particular make of car is same as reported 34%}

Alternate Hypothesis, H_1 : p \neq 0.34 {means that the percentage of readers who own a particular make of car is different from the reported 34%}

The test statistics we will use here is;

                T.S. = \frac{\hat p -p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } } ~ N(0,1)

where, p = actual % of readers who own a particular make of car = 0.34

            \hat p = percentage of readers who own a particular make of car in a

                  sample of 220 = 0.30

            n = sample size = 220

So, Test statistics = \frac{0.30 -0.34}{\sqrt{\frac{0.30(1- 0.30)}{220} } }

                             = -1.30

Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the actual percentage of readers who own a particular make of car is same as reported percentage and the executive's claim that it is different is not supported.

3 0
3 years ago
The catalog is advertising a stack of these cups that is 95 cm tall. Lori says, “That must be a misprint because a stack of that
user100 [1]

Answer:

in particular, the relationship between height of stack and number of cups yields a non-whole number of cups, corresponding to a height of 95 cm. In this context, that is not possible because we do not allow for parts of cups.

Step-by-step explanation:

8 0
2 years ago
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