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ryzh [129]
3 years ago
10

PLS SOLVE THIS !!<3​

Mathematics
1 answer:
babunello [35]3 years ago
7 0

Answer:

x=7.5

Step-by-step explanation:

\frac{4x-1}{2}=x+7\\4x-1=2(x+7)\\4x-1=2x+14\\2x-1=14\\2x=15\\x=\frac{15}{2} =7.5

Hope this helps!

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Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat
NemiM [27]

Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that n = 65, \pi = 0.76

99% confidence level

So \alpha = 0.005, z is the value of Z that has a pvalue of 1 - \frac{0.005}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

6 0
3 years ago
A farmer wants to construct a rectangular pigpen so only 3 sides of the pen will need to be fenced. If the farmer has 400 ft of
Fofino [41]

Answer:

The answer is "\bold{100\ ft \times 200\ ft}"

Step-by-step explanation:

A = area of the pigpen 

x = its perpendicular length of the sides of the stone wall

Maximize function:

\to A = x (400-2x)\\\\Where\ \ 0

So, the size of pigpen is = 100 ft by 200 ft that is (perpendicular and parallel to wall), that's why the answer is "\bold{100\ ft \times 200\ ft}"

3 0
2 years ago
Given: Triangles ABC and DBC are isosceles, m∠BDC = 30°, and m∠ABD = 155°. Find m∠ABC, m∠BAC, and m∠DBC.
just olya [345]
∠BDC=30, so ∠CBD + ∠BCD=180-30=150
ΔDBC is isosceles, so ∠CBD=∠BCD=half of 150=75
∠ABC=∠ABD-∠CBD=155-75=80
ΔABC is isosceles, so ∠ABC=∠ACB=80
∠BAC=180-80-80=20
7 0
3 years ago
A) Determine the functions whose graphs are parallel to the graph of the function y=0.5x+10 and intersect the graph of the funct
Elza [17]

Answer:

y - 1 = 1/2(x -5)

Step-by-step explanation:

I don't know i am right tho so be careful

7 0
2 years ago
Find the product 4 times 80
Zolol [24]
The answer is 320 to find the product you can just do 4 times 8 and then add a zero
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