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Andrej [43]
2 years ago
13

There are 15 coins, which are nickels and dimes only, in Ediths purse. The total value of the coins in her purse is $1.15. If n=

nickels and d= dimes, the scenario can be represented by the following system: n + d = 15 0.05n + 0.10d= 1.15
How many Nickels and dimes are in Ediths purse? (SHOW WORK WILL GIVE 100 POINTS ANSWER ASAP PLS)
Mathematics
1 answer:
Goshia [24]2 years ago
5 0

Answer:

n=7 d=8

Step-by-step explanation:

n+d=15 d=15-n

0.05n+0.1(15-n)=1.15

0.05n-0.1n+1.5=1.15

-0.05n=-0.35

n=7 d=8

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Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture
ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

b = 2

The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

8 0
3 years ago
In a quality control test of parts manufactured at Dabco Corporation, an engineer sampled parts produced on the first, second, a
sammy [17]

Answer:

p value = 0.0174

Conclusion : we reject the null hypothesis

Step-by-step explanation:

Thinking step:

We need to perform a test to determine if the proportion of the good parts is the same for all three shifts at a significance level of \alpha = 0.05

Assumption : all the population for each or the three shifts is not equal.

Calculation:

Let p₁ be the sample of the first shift

     p₂ be the sample of the second shift

     p₃ be the sample of the third shift

According to the null hypothesis

H₀ = p₁ = p₂ = p₃

In other words, all the population sample proportions are equal.

Alternatively, we can assume that the three shift are not equal p₁ ≠ p₂ ≠ p₃

Tabulating and performing the \chi² test gives 8.10

degrees of freedom:

df = k - 1

   = 3 - 1 = 2

Thus the degree of freedom is 2

Solving using the MINITAB software gives: p = 0.174

The solution shows that the p value < level of significance, then p-value lies in the range 0.0174≤\alpha≤0.05

Therefore, we reject the null hypothesis based on the fact that the three shifts are not equal.

5 0
3 years ago
What pair of factors will add together and give you 0
lbvjy [14]

Answer:

the type of factor would be 4,4 I just figured it out

Step-by-step explanation:

3 0
3 years ago
Need help I don’t understand
pshichka [43]

Answer:

58 degrees

Step-by-step explanation:

subtract 122 from 180

7 0
3 years ago
Read 2 more answers
Mrs Smith plants 5000 seeds per year. If 1/4 of them die and 1/5 lost in transport. How many plants would be left to sell
ycow [4]
1/4 of 5000 is 1250
1/5 of 5000 is 1000
1250 + 1000 = 2250
5000- 2250 = 2750
2750 will be left to sell
3 0
2 years ago
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