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galben [10]
3 years ago
5

Pls help me solve this

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
5 0

Answer:

Step-by-step explanation:

5\frac{5}{6} * 4\frac{1}{2}

=5*6+5/6 * 4*2+1/2

=35/6 * 9/2

=35*9/6*2

=315/12

=105/4

=26\frac{1}{4}

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The graph shown is a translation of the graph of ​f(x)=x^2. Write the function in vertex form.
Gnesinka [82]

\sf \longrightarrow \: f(x) =  {x}^{2}

Write the parent function in the standard form I.e.

\boxed{ \tt \:y =a(x - h) \times 2 + k  }

Where,

  • a = 1
  • h = 0
  • k = 0

\sf \longrightarrow \:y=  1(x - 0)^{2} \times 2 + 0

\sf \longrightarrow \: y = (x - 0) ^{2}  \times 2 + 0

\sf \longrightarrow \: y =  {x}^{2}  \times 2

\sf \longrightarrow \: y =  2{x}^{2}

4 0
2 years ago
In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th
marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}

Where:

\hat{p} is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

z_{\alpha /2} is the critical value needed to find the tails of distribution related to the confidence level,

n is the sample's size.

<u>First</u> we compute the \hat{p} value:

\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

z_{\alpha /2}=2.576

Now we can replace in the formula with the obtained values to compute the confidence interval:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)

5 0
3 years ago
What is the rate of 70 miles in 2 hours in unit rate
tamaranim1 [39]
You want one of the values in the ratio to be one for a unit rate. First, write out the ratio. It is 70 miles/2 hours. It's better not to include decimal numbers when you write a ratio when you can, so we're going to make the hours the unit rate. To make 2 -> 1 hour, divide both sides of the ratio by 2. 70/2 = 35. 
The unit rate is 35 mi./hr.
Hope that helped you.
5 0
3 years ago
Read 2 more answers
How do I do this help please
elena55 [62]

Answer:x=3

Step-by-step explanation:

Add 4 to both sides and get 3x=5+4

Simplify 5+4 to 9 and get 3x=9

Divide both sides by 3 and get x=9/3

Simplify 9/3 to 3 and get the answer x=3

4 0
3 years ago
Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A
valentina_108 [34]
<h3><u>Answer:</u></h3>

The formula determine the distance from C to D is:

\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a

<h3><u>Step-by-step explanation:</u></h3>

The formula that can be used to determine the distance from point C to point D is:

\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a

We know that distance between two points A(a,b) and B(c,d) is equal to the length of the line segment AB and is calculated by the help of the formula:

\sqrt{(c-a)^2+(b-d)^2}

So, here we have:

(a,b)=(a,b) and (c,d)=(0,b)

3 0
3 years ago
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