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Art [367]
2 years ago
8

Rewrite 39,500 × 103 in scientific notation. Thank you

Mathematics
1 answer:
Mice21 [21]2 years ago
8 0

Step-by-step explanation:

39500 x 103 = 4,068,500

in scientific notation, that ia 4.0685 x 10⁶

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The sample consisted of 50 night students, with a sample mean GPA of 3.02 and a standard deviation of 0.08, and 25 day students,
bulgar [2K]

Answer: The test statistic is t= -0.90.

Step-by-step explanation:

Since we have given that

n₁ = 50

n₂ = 25

\bar{x_1}=3.02\\\\\bar{x_2}=3.04\\\\\sigma_1=0.08\\\\\sigma_2=0.06

So, s would be

s=\sqrt{\dfrac{n_1\sigma_1^2+n_2\sigma_2^2}{n_1+n_2-2}}\\\\s=\sqrt{\dfrac{50\times 0.08^2+25\times 0.06^2}{50+25-2}}\\\\s=0.075

So, the value of test statistic would be

t=\dfrac{\bar{x_1}-\bar{x_2}}{s(\dfrac{1}{n_1}+\dfrac{1}{n_2})}\\t=\dfrac{3.02-3.04}{0.074(\dfrac{1}{50}+\dfrac{1}{25})}\\\\t=\dfrac{-0.04}{0.074(0.02+0.04)}\\\\t=\dfrac{-0.04}{0.044}\\\\t=-0.90

Hence, the test statistic is t= -0.90.

7 0
3 years ago
Find the (real-valued) general solution to the differential equation. z′′+5z′=0
andrew-mc [135]
Try this solution:1. to make up the characteristic equation:α²+5α=0;\left[\begin{array}{ccc} \alpha=0 \\ \alpha =-5\\\end{array}2. to make up the final answer:y=C₁+C₂e⁻⁵ˣ
7 0
3 years ago
Last semester you took 3 final exams and you want to figure out which exam score really is your best score. Here are the scores
Mademuasel [1]

Answer:

76

Step-by-step explanation:

6 0
3 years ago
A scientist is growing bacteria in a lab for study. One particular type of bacteria grows at a rate of y=2t^2+3t+500. A differen
Leya [2.2K]

ANSWER

Approximately after 15 minutes.

EXPLANATION

The growth rate of the first bacteria is

y = 2 {t}^{2}   + 3t + 500

The growth rate of the first bacteria :

y = 3 {t}^{2}  + t + 300

To find the time that, there will be an equal number of bacteria, we equate the two equation;

3 {t}^{2}  + t + 300 = 2 {t}^{2}   + 3t + 500

3 {t}^{2}  - 2 {t}^{2}   + t  - 3t +  300 - 500 =00

{t}^{2}  - 2t  - 200= 0

We solve for t to get,

t = 15.177

Or

t =  - 13.177

We discard the negative value.

This implies that,

t \approx15

8 0
3 years ago
Which inequalities are true? Check all that apply.
a_sh-v [17]

Answer:

THE ANSWR IS THAT THREE FIFTHS

Step-by-step explanation:

5 0
3 years ago
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