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Tema [17]
3 years ago
10

Round 75.03078 to the nearest ten-thousandths

Mathematics
1 answer:
weeeeeb [17]3 years ago
5 0
75.0309 is the answer 
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Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
Leviafan [203]

Answer:

Probability of having student's score between 505 and 515 is 0.36

Given that z-scores are rounded to two decimals using Standard Normal Distribution Table

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu (Mean) = 510, SD = 10.4 we have z(x) by using z(x) = (x - Mu)/SD as under:

In our case, we have x = 505 & 515

Approach 1 using Standard Normal Distribution Table:

z for x=505: z(505) = (505-510)/10.4 gives us z(505) = -0.48

z for x=515: z(515) = (515-510)/10.4 gives us z(515) = 0.48

Afterwards using Normal Distribution Tables and rounding the values to two decimals we find the probabilities as under:

P(505) using z(505) = 0.32

Similarly we have:

P(515) using z(515) = 0.68

Now we may find the probability of student's score between 505 and 515 using:

P(505 < x < 515) = P(515)-P(505) = 0.68 - 0.32 = 0.36

PS: The standard normal distribution table is being attached for reference.

Approach 2 using Excel or Google Sheets:

P(x) = norm.dist(x,Mean,SD,Commutative)

P(505) = norm.dist(505,510,10.4,1)

P(515) = norm.dist(515,510,10.4,1)

Probability of student's score between 505 and 515= P(515) - P(505) = 0.36

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6 0
3 years ago
Angles U and V are supplementary angles. The ratio of their measures is 7:13 Find the measure of each angle
GREYUIT [131]
If u and v are <span>supplementary angles, then

u+v=180^{\circ}~~~~~\mathbf{(i)}


The ratio of u and v is \dfrac{7}{13}:<span>

\dfrac{u}{v}=\dfrac{7}{13}\\\\\\ u=\dfrac{7v}{13}~~~~\mathbf{(ii)}


Substitute \mathbf{(ii)} into \mathbf{(i)}:

\dfrac{7v}{13}+v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+1 \right )\cdot v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+\dfrac{13}{13} \right )\cdot v=180^{\circ}\\\\\\ \dfrac{20}{13}\cdot v=180^{\circ}\\\\\\ v=180^{\circ}\cdot \dfrac{13}{20}\\\\\\ \boxed{\begin{array}{c} v=117^{\circ} \end{array}}


From \mathbf{(i)}, we find the measure of u:

u=180^{\circ}-v\\\\ u=180^{\circ}-117^{\circ}\\\\ \boxed{\begin{array}{c} u=63^{\circ} \end{array}}

</span></span>
7 0
3 years ago
a pizza shop offers 30% off the price of a large pizza every Tuesday night. If the regular price is $25, what is the discounted
Elina [12.6K]
You need do like 25$--------100% of real price
                         x$---------70%


25x70=100<u>x</u>
1,750=100<u>x</u>
    <u> x</u>=1750<u />divided by 100=17.5$
5 0
3 years ago
Read 2 more answers
3 moon + 1 star = 29 1 moon +1 moon = 15 Find value of 1 moon​
Montano1993 [528]

Hi!

I can help you with joy!

3 moons+1 star equals 29.

All right.

Actually, there are a few numbers that can be hidden behind the moon:

3*8=24 + 1 star (5) = 29

But 1 moon + 1 moon equals 15.

So one moon equals 7.5.

*GentleGirlie*

8 0
3 years ago
A ball is launched into the sky at 272 feet per second from the roof of a skyscraper 1,344 feet tall. The equation for the ball’
xz_007 [3.2K]

When the ball is in the ground, its height is basically equal to zero thus making our equation,

<span>    -16t^2 + 272t + 1344 = 0</span>

Simplifying the equation will give us,

<span>  - t^2 + 17t + 84 = 0 or t^2 – 17t – 84 = 0</span>

Factoring out the equation will give us,

<span>   (t – 21)(t + 4) = 0</span>

Thus, t = 21 or t = -4. -4 is an extraneous root. Thus, the answer is t = 21.

<span>Answer: 21 seconds</span>

5 0
3 years ago
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