If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by q

Mackenzie practices the piano 609 minutes in 3 weeks. At what rate did she practice, in minutes per day?

Step2247 [10]

Answer:

the answer is 29

Step-by-step explanation:

good luck! <33

6 0

3 years ago

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Two factors of -48 have a difference of 19. The factor with a

sdas [7]

Answer:

13

Step-by-step explanation:

Given number = -48

Listing out the possible factors of -48 in pairs along with their difference:

Factors ( $F_1\times F_2$ ) Difference ( $F1-F2$ ) Difference ( $F_2-F_1$ )

$-2\times 24$ -26 26

$2\times -24$ 26 -26

$-3\times 16$ -19 19

$3\times -16$ 19 -19

$-4\times 12$ -16 16

$4\times -12$ 16 -16

$6\times -8$ -14 14

$12\times -4$ 14 -14

On listing out the factors we find out that two of the pairs have difference = 19

The pairs are $-3, 16$ and $3,-16$

It is given that the factor with greater absolute value is positive. This means 16 would be positive while 3 would be negative.

So, our factors are $-3, 16$

The sum of the factors is = $-3+16=13$ (Answer)

3 0

3 years ago

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Nachelle goes out to lunch. The bill, before tax and tip, was $8.10. A sales tax of 4% was added on. Nachelle tipped 17% on the

harina [27]

Step-by-step explanation:

Nachelle goes out to lunch. The bill, before tax and tip, was $8.10. A sales tax of 4% was added on. Nachelle tipped 17% on the amount after the sales tax was added. How much was the sales tax? Round to the nearest cent.

6 0

2 years ago

Listed below are speeds (mi/h) measured from southbound traffic on I-280 near Cupertino, California (based on data from SigAlert

adell [148]

Answer:

Option (B) is the correct answer to the following question.

Step-by-step explanation:

Step-1: We have to find the Mean of the series.

The series is Given in the question 62 61 61 57 61 54 59 58 59 69 60 67.

$Mean(\overline{x})=\frac{62+61+61+57+61+54+59+58+59+69+60+67}{12}$ $= 60.67$

Step-2: We have to find the Standard Deviation.

Let Standard Deviation be x.

Formula of Standard Deviation is: $s= \sqrt{\frac{\sum(x_{i}+\overline{x})}{n-1}}$

Put value in formula of Standard Deviation,

$s= \sqrt{\frac{(62+60.67)^{2}+(61+60.67)^{2}+(61+60.67)^{2}+(57+60.67)^{2}+....(67+60.67)^{2}}{n-1}}$ = 40.75

Step-3: Then, we have to find the critical value by chi-square.

$X_{1-\alpha/2}^{2}=3.82$

$X_{1-\alpha/2}^{2}=21.92$

Then, find the confidence interval which is 95%.

$\sqrt{\frac{(n-1).s^2}{X_{\alpha/2}^{2}} } = \sqrt{\frac{12-1}{21.92}.(4.075)^2 }\approx2.8868 \\ i.e 2.9$

$\sqrt{\frac{(n-1).s^2}{X_{\alpha/2}^{2}} } = \sqrt{\frac{12-1}{3.816}.(4.075)^2 }\approx6.9188 \\ i.e 6.9$

5 0

3 years ago

Evaluate the 6 trigonometric functions of theta for 540 degrees

Sophie [7]

540 degrees is equivalent to 180 degrees. Cotangent and cosecant are invalid, sine, secant, tangent are all 0 and cosine is -1.

8 0

3 years ago

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by q —> p?