Identify the initial amount a and the growth factor b in the exponential function. A(x) = 680 • 4.3x

Answers

Answer 1
Answer: A(x)=680\cdot4.3^x\n\na=680;\ b=4.3

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While shopping, Cori spent three times as much as Ann. If they spent a total of $124, how much did each person spend?

Answers

Ann-x
Cori-3x

3x+x=124

4x=124
divide both sides by 4

x=31 now plug it in and you get

Ann-31
Cori-31×3=93

Ann spent 31$
Cori spent 93$

What is (7*7) + 39 - 5 * 8

Answers

Hello there!

(7 x 7) + 39 - 5 x 8

49 + 39 - 40

88 - 40

88 - 40 = 48

Answer:

48

Step-by-step explanation:

7x7=49

add 39 equals 88

5x8=40

88-40=48

A student measures the diameter of a small cylindrical object and gets the following readings: 4.32, 4.35, 4.31, 4.36, 4.37, 4.34 cm. What is the average diameter from these readings?

Answers

Answer:

The average of the diameter readings is 4.34 cm.

Step-by-step explanation:

We  are given the following data set(cm):

4.32, 4.35, 4.31, 4.36, 4.37, 4.34

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle(26.05)/(6) = 4.34167 \approx 4.34

Thus, the average of the diameter readings is 4.34 cm.

What is the length of the hypotenuse?6 cm
6 StartRoot 2 EndRoot cm
12 cm
12 StartRoot 2 EndRoot cm

Answers

Answer:

D. 12 square root 2 cm

Step-by-step explanation:

edge2021

Add the numbers in the series 3+11+19+27+.....+395+403.

Answers

Answer:

10353

Step-by-step explanation:

The given series is in arithmetic progression since the common difference is same which is 8.

To find the sum of series we can simply apply the formula'

S= n/2( first term + last term)

S is the sum and n is the number of terms

we also need to find the number of terms n

n = (last term- first term)/2 + 1

n= (403-3)/(8) + 1

n= 51

s= (51)/(2)(3+403)

s= 10353

Interest centers around the life of an electronic component. Let A be the event that the component fails a particular test and B be the event that the component displays strain but does not actually fail. Event A occurs with probability 0.39​​, and event B occurs with probability 0.24. A) What is the probability that the component does not fail the​ test?
B) What is the probability that a component works perfectly well (i.e., neither displays strain nor fails the test)?
C) What is the probability that the component either fails or shows strain in the test?

Answers

Answer: a. 0.61

b. 0.37

c. 0.63

Step-by-step explanation:

From the question,

P(A) = 0.39 and P(B) = 0.24

P(success) + P( failure) = 1

A) What is the probability that the component does not fail the​ test?

Since A is the event that the component fails a particular test, the probability that the component does not fail the​ test will be P(success). This will be:

= 1 - P(A)

= 1 - 0.39

= 0.61

B) What is the probability that a component works perfectly well (i.e., neither displays strain nor fails the test)?

This will be the probability that the component does not fail the​ test minus the event that the component displays strain but does not actually fail. This will be:

= [1 - P(A)] - P(B)

= 0.61 - 0.24

= 0.37

C) What is the probability that the component either fails or shows strain in the test?

This will simply be:

= 1 - P(probability that a component works perfectly well)

= 1 - 0.37

= 0.63