1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
liubo4ka [24]
3 years ago
7

Whats is the sum of 4x10^-5 and 3x10^-5 written in standard form?

Mathematics
1 answer:
Dimas [21]3 years ago
4 0
(4x10^-5) + (3x10^-5) would equal .00004 + .00003 = .00007

The way to convert scientific notation to standard notation is simple:

with negative powers, simply treat it as a whole number, subtract 1 from it and add that many zeros before the number you are multiplying by 10

with positive powers, simply subtract 1 from it and add that many zeros after the number you are multiplying by 10
You might be interested in
Workers at a certain soda drink factory collected data on the volumes​ (in ounces) of a simple random sample of 1818 cans of the
ohaa [14]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Workers at a certain soda drink factory collected data on the volumes​ (in ounces) of a simple random sample of 18 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.14 oz, and they appear to be from a normally distributed population.

If the workers want the filling process to work so that almost all cans have volumes between 12.02 oz and 12.66 ​oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.16 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.16 oz. Use a 0.01 significance level. Complete parts​ (a) through​ (d) below.

a. Identify the null and alternative hypotheses.  

b. Compute the test statistic.

c. Find the p-value.

d. State the conclusion.

Answer:

Null hypotheses = H₀: σ = 0.16  oz

Alternate hypotheses = H₁: σ < 0.16  oz

Critical value = 6.408

Chi-square value = \chi^2 = 13.016

Reject H₀  Since \chi^2 > Critical value

Reject H₀ Since p-value ≤ α

We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.

Step-by-step explanation:

Set up hypotheses:

The null hypotheses is that the population of volumes has a standard deviation of 0.16 oz

Null hypotheses = H₀: σ = 0.16  oz

The claim to be tested is that the population of volumes has a standard deviation of less than 0.16 oz

Alternate hypotheses = H₁: σ < 0.16  oz

Determine type of test:

Since the alternate hypothesis states that the population of volumes has a standard deviation of less than 0.16 oz, therefore we will use a lower-tailed chi-square test.

Determine the Critical value:

Given level of significance = 0.01

Since it is a lower-tailed test, the areas given in the chi-square table are the areas to the right of the critical value. To get the areas on the left, subtract it from  one, and then look it up

α = 1 - 0.01 = 0.99

degree of freedom = df = n - 1 = 18 - 1 = 17

The critical value from the chi-square table at α = 0.99 and df = 17 is found to be

Critical value = 6.408

Using an online “chi-square p-value calculator”

The left tail p-value for df = 17 and Critical value = 6.408 is found to be

p-value = 0.01

Set up decision rule:

Reject H₀ If  > Critical value

We reject the Null hypothesis If the calculated chi-square value is more than the critical value.

OR

Reject H₀ If p-value ≤ α

Compute the test statistic:

$ \chi^2 = \frac{(n-1) s^2}{\sigma^2} } $

$ \chi^2 = \frac{(18-1) 0.14^2}{0.16^2} } $

\chi^2 = 13.016

Conclusion:

We reject H₀

Since \chi^2 > Critical value

13.016 > 6.408

Also

p-value ≤ α

0.01 ≤ 0.01

We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.

5 0
3 years ago
The standard golf ball has a mass of 45g.How many golf balls are there in a bag weighing 1.8 kg?
mars1129 [50]
Bag weight 1.8 kg
Golf ball weight: 45g

1 kg = 1000g
Total bag weight in grams = 1.8 x 1000 = 1800g
total bag weight / golf ball weight = total balls in bag
1800 / 45 = 40
Total balls in bag = 40.
6 0
3 years ago
Read 2 more answers
Is this a real person ​
Leto [7]

Answer:

who

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
!!! I NEED HELP ASAP AND WILL GIVE BRAINLIEST !!! I already did the first question but the rest I am stuck on. Can you fill in t
Elena-2011 [213]
1= -90
2= -120
Hope this helps
8 0
3 years ago
Can someone pls help
Katyanochek1 [597]

Answer:

x = 35

Step-by-step explanation:

Sum of angles of triangle = 180°

  • 60 + 60 + 4x - 80 = 180
  • 40 + 4x = 180
  • 4x = 140
  • x = 140/4
  • x = 35°
3 0
2 years ago
Read 2 more answers
Other questions:
  • Plz
    6·1 answer
  • What is the solution to the system of equations? Use any method. {y=−3x+12x+5y=18 {2x+5y=18
    11·2 answers
  • Factor the expression below x^2+12+36 A) (x-6)(x-6) B) (x+6)(x+6) C) (x-9)(x-4) D) (x+9)(x+4)
    10·1 answer
  • A radio talk show host with a large audience is interested in the proportion p of adults in his listening area who think the dri
    14·1 answer
  • The number of cars sold by 20 salespeople in one week are recorded in the chart below
    15·1 answer
  • A circle with circumference \blue{20}20start color #6495ed, 20, end color #6495ed has an arc with a 72^\circ72 ∘ 72, degrees cen
    12·2 answers
  • The length of a rectangle is 3 inches more than three times the width. The perimeter is 62 inches. Find the length and width.
    6·1 answer
  • 4x + 5 = 6x – 7<br> solve for x
    15·1 answer
  • Write short note on the rules on how to bisect a line​
    10·2 answers
  • Answer ASAP! Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!