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scoray [572]
3 years ago
13

The sum of two numbers is 7 and the diffrence is 5

Mathematics
2 answers:
Irina18 [472]3 years ago
3 0

Answer:

The two numbers are 6 and 1 the difference between 6 and 1 is 5

Plz mark as brainliest if it helped you

Flauer [41]3 years ago
3 0

Answer:

6 and 1

Step-by-step explanation:

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5. a. The area of an isosceles triangle is 60cm² and its base is 10cm. Find the length of its equal side.​
Sindrei [870]

Answer:

H = 12cm

b

I hope I was able to help

4 0
2 years ago
Mr. Roberts plans to drive a total of 56 miles. He has 29 more miles to go. How many miles has he driven so far?
jekas [21]

Answer: The answer is 27

Given:

  • Mr. Roberts will drive 56 miles
  • He has 29 more miles to go

We will:

Subtract the total distance he plants to travel by the amount he has left.

<em> Equation: </em>\mathrm {56 - 29 = 27}

Our answer is 27. Best of Luck!

7 0
3 years ago
At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =
Papessa [141]

Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

3 0
3 years ago
Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99​% confidenc
quester [9]

Answer: 18

Step-by-step explanation:

The formula to find the minimum sample size is given by :_

n=(\dfrac{z^*\cdot \sigma}{E})^2

, where \sigma = population standard deviation.

z*= critical z-value.

E= Margin of error.

Given : \sigma= 13

E= ± 8

We know that critical value corresponding to 99% confidence level = z*=2.576  [Using z-table]

Then, the required sample size would be :

n=(\dfrac{(2.576)\cdot (13)}{8})^2

\Rightarrow\ n=(4.186)^2

\Rightarrow\ n=17.522596\approx18 [Round to next integer.]

Hence, the required minimum sample size = 18

4 0
3 years ago
7.1.35-T Question Help You are the operations manager for an airline and you are considering a higher fare level for passengers
shusha [124]

Answer:

You must survey 784 air passengers.

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}.

The margin of error is:

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

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Assume that nothing is known about the percentage of passengers who prefer aisle seats.

This means that \pi = 0.5, which is when the largest sample size will be needed.

Within 3.5 percentage points of the true population percentage.

We have to find n for which M = 0.035. So

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

0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.035\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.035}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2

n = 784

You must survey 784 air passengers.

6 0
3 years ago
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