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AlekseyPX
3 years ago
13

Please solve with explanation

Mathematics
2 answers:
Juliette [100K]3 years ago
8 0

Step-by-step explanation:

4\frac{9}{20} - 1\frac{2}{6} =\\\frac{89}{20}  - \frac{8}{6} = \frac{89 - 26.7}{20} = \frac{62.3}{20} \\

4\frac{6}{9}  - 3\frac{3}{6} =\\\frac{42}{9} - \frac{21}{6} = \frac{252 - 189}{54} = \frac{63}{54} = 1\frac{9}{54}

2\frac{2}{4} - 1\frac{1}{3} =\\\frac{10}{4} - \frac{4}{3} = \frac{30 - 16}{12} = \frac{14}{12} = 1\frac{2}{12}

harkovskaia [24]3 years ago
6 0

Answer:

4 9/20 - 1 2/6 =

Exact form : 187/60  

Decimal form : 3.116 (place a line over the six to show that six is repeating itself many times. It will look like this... 3.116666666...)

Mixed Number form : 3 7/60

4 6/9 - 3 3/6 =

Exact form : 7/6

Decimal form : 1.16 (place a line over the six to show that six is repeating itself many times. It will look like this...1.166666666...)

Mixed Number form : 1 1/6

Step-by-step explanation: (For both answers...) Convert the mixed numbers to improper fractions, then find the LCD (Least Common Denominator) and combine.

Hope this helps you out! ☺

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Need help & Thank you !!!!
loris [4]

The right answer is of option D.

please see the attached picture for full solution...

Hope it helps...

Good luck on your assignment......

8 0
3 years ago
Consider the hypothesis test below.
Pavel [41]

Answer:

Z_{H0} =1.79

p-value: 0.0367

Decision: Reject H₀

Step-by-step explanation:

Hello!

Hypothesis to test:

H₀:ρ₁-ρ₂=0

H₁:ρ₁-ρ₂>0

The statistic to use to test the difference between two population proportions is the approximation of Z

Z=<u>     (^ρ₁-^ρ₂)-(ρ₁-ρ₂)     </u>   ≈N(0;1)

   √ (<u>^ρ₁(1-^ρ₁))/n₁)+(^ρ₂(1-^ρ₂)/n₂))</u>

                   

Z=<u>                    (0.28-0.15)-0                    </u>= 1.79

   √ (<u>0.28(1-0.28)/200)+(0.15(1-0.15)/300)</u>

p-value

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

P(Z>1.79)= 0.0367

Conclusion:

Comparing the p-value against the significance level, you can decide to reject the null hypothesis.

I hope you have a SUPER day!

8 0
3 years ago
I have to find the slope for 4. ASAP please help
Lorico [155]

Given:

The objective is to find the slope of the straight line.

Explanation:

The general equation to find the slope is,

m=\frac{y_2-y_1}{x_2-x_1}

Let's consider two coordinates from the graph.

\begin{gathered} (x_1,y_1)=(0,0) \\ (x_2,y_2)=(-1,5) \end{gathered}

On plugging the values in the equation of slope,

\begin{gathered} m=\frac{5-0}{-1-0} \\ m=-5 \end{gathered}

Hence, the slope of the straight line is -5.

3 0
1 year ago
You drop a pencil out of window that is 20ft above the ground. Use the formula V^2=64s, where V is speed and s is the distance f
gizmo_the_mogwai [7]
First you substitute in the values so you have
V^2=(64)20
then you just simplify it
V^2=1280
V=the square root of 1280
V= about 35.7770876
or
V=the square root of 256 times <span>the square root of 5
V=16 times </span><span>the square root of 5

also V would typically be called velocity. it's very similar to speed but it is just easier to remember because it starts with a V</span>
8 0
2 years ago
The equation P= 21 + 2w models the perimeter, P, of a rectangle with a length of / units and a width of w units.
natima [27]

Answer:

width = 10 units and length = 20 units

Step-by-step explanation:

Let the width be w

so Length will be 2w

using the rectangle formula:

\sf Perimeter \ of \ rectangle= 2L + 2W

\sf 60= 2(2w) + 2w

\sf 60= 4w + 2w

\sf 60= 6w

\sf w = 10 \ units

Find length:

\sf length = 2w

\sf length = 2(10)

\sf length = 20 \ units

5 0
2 years ago
Read 2 more answers
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