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Soloha48 [4]
4 years ago
6

A test has thirty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice

questions worth 8 points each. How many multiple choice questions are on the test?
Mathematics
2 answers:
Vika [28.1K]4 years ago
5 0
So let's break this question down.
You need a bit of both, right? Well we need to calculate how many multiple choices we can do whilst having true/false questions, and not going over or under on points.

So, let's pick a random number, 5. So let's do 8x5, that equals 40.
ohmygoditsrightiwasseriouslyjustguessing
Ok so now we have our number, 5 multiple choice questions. 
The true/false questions should be easy, just do 3x20 and you get 60.

ANSWER: 5 
Ilya [14]4 years ago
3 0

Answer:

2 multiple choice problems

Step-by-step explanation:

the equations will be...

x=true/false questions

y=multiple choice problems

x+y=30

3x+8y=100

5y=10

<h2>y=2</h2>
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If you drive for 3hrs at 60mph and then for 2 hrs at 70mph how far will you travel
Phantasy [73]
60 miles per hour
distance=rate times time
first part
rate=60mph
time=3h
distance=60mph times 3h=180 miles

part 2
time=2 hours
rate=70mph
distance=70mph times 2h=140miles

total is 180mi+140mi=320miles
5 0
4 years ago
Read 2 more answers
You have designed a concrete patio which is the shape of a parallelogram and a triangle combined. The parallelogram has a length
MAXImum [283]

Answer:

perimeter is 35.6 area is 108

Step-by-step explanation:

it helps to draw a picture. first the perimeter of the rectangle is 4x2 +12=20 we wont be needing one of the twelves because it is connected to the triangle the area or the rectangle is 12x4=48. now for the triangle. we will need the Pythagorean theorem to find the sides first split the base in half 12/2=6 now we use the height and the base 6^{2} +5x^{2} =6

2

+5x

2

= 61 the square root of 61 is about 7.8 the perimeter is 7.8+7.8 +12 but we wont need the base because it is attached to the rectangle =15.6 the area of the triangle is like half a square Base times height though 12x5=60

the whole perimeter if 15.6+20=35.6 the area is 60+48=108

wlcm♥️

7 0
3 years ago
According to the last census (2010), the mean number of people per household in the United States is LaTeX: \mu = 2.58 Assume a
Veseljchak [2.6K]

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, \mu = 2.58 and Standard deviation, \sigma = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

             Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar \leq 2.50)

P(Xbar < 2.66) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } } ) = P(Z < -1.68) = 1 - P(Z  1.68)

                                                              = 1 - 0.95352 = 0.04648

P(Xbar \leq 2.50) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }  ) = P(Z \leq  -3.92) = 1 - P(Z < 3.92)

                                                              = 1 - 0.99996 = 0.00004  

Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

7 0
4 years ago
Simplify (4.2^n+1 _ 2^n+2 )/(2^n+1 _ 2^n).​
irina [24]

4.2^n+12^n+2/2^n+12^n

Step-by-step explanation:

6 0
3 years ago
21:(1)(3) +0-14 <br> pedmas way
Orlov [11]

Answer:

11

Step-by-step explanation:

7 0
3 years ago
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