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
MrRa [10]
3 years ago
8

Multiply and reduce to lowest form 1 2/5×1 7/10

Mathematics
1 answer:
LuckyWell [14K]3 years ago
6 0
The answer is 2 19/50.
First of all you have to convert the mixed numbers into improper fractions. So, 1 2/5 is equal to 7/5 and 1 7/10 is equal to 17/10. Next you multiply the denominators by the denominators and multiply the numerator by the numerator. 7 times 17 is 119 and 5 times 10 is 50. So the fraction is 119/50. You convert the improper fraction into a mixed number, which is 2 19/50.
You might be interested in
During the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours.The second one was
butalik [34]

Answer:

2nd debate was 3 hours long.

Step-by-step explanation:

We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.

Let us find the estimate of time spent on 2nd debate.

1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.

2*2=4

Therefore, the estimated time is less 4 hours.

To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.

First of all, we will convert mixed fractions into improper fractions as:

1\frac{2}{3}=\frac{5}{3}

1\frac{4}{5}=\frac{9}{5}

Now, we will multiply both fractions as:

\frac{5}{3}\times \frac{9}{5}

\frac{1}{3}\times \frac{9}{1}

\frac{9}{3}\Rightarrow 3

Therefore, the 2nd debate was 3 hours long.

5 0
3 years ago
Suppose a batch of metal shafts produced in a manufacturing company have a population standard deviation of 1.3 and a mean diame
lbvjy [14]

Answer:

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 208, \sigma = 1.3, n = 60, s = \frac{1.3}{\sqrt{60}} = 0.1678

What is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Lesser than 208 - 0.1 = 207.9 or greater than 208 + 0.1 = 208.1. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Lesser than 207.9.

pvalue of Z when X = 207.9. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{207.9 - 208}{0.1678}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

2*0.2743 = 0.5486

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

6 0
3 years ago
For each figure answer the following questions
Rudiy27

9514 1404 393

Answer:

  a) ∆ABC ~ ∆EDC by AA similarity

  b) ED/AB = 3/4

  c) 15 cm

Step-by-step explanation:

a) Two angles in each triangle are the same, so the AA similarity postulate can be used to declare the ∆ABC ~ ∆EDC. (Each triangle includes a right angle and angle C.)

__

b) Corresponding sides are ED/AB, DC/BC, EC/AC. The ratio of corresponding sides is ED/BC = (12 cm)/(16 cm) = 3/4.

__

c) Using the ratios identified above, we have ...

  DC/BC = 3/4 = x/(20 cm)

  x = 3/4(20 cm)

  x = 15 cm

8 0
3 years ago
Can someone help me? it’s due in like 10 minutes
Romashka-Z-Leto [24]

Answer:

B. 3x + y = 4

Step-by-step explanation:

y = -3x + 4

Check:

3x + y = 4

<u>-3x        -3x</u>

y = -3x + 4

8 0
3 years ago
Read 2 more answers
Verizon charges a $40 sign-up fee and the $60 a month for their new hotspot. T-Mobile
o-na [289]

Step-by-step explanation:

Start Unlimited: 

$70 for one line

$60 for two lines

$45 for three lines

$35 for four lines

Play More Unlimited: 

$80 for one line

$70 for two lines

$55 for three lines

$45 for four lines

Do More Unlimited: 

$80 for one line

$70 for two lines

$55 for three lines

$45 for four lines

Get More Unlimited: 

$90 for one line

$80 for two lines

$65 for three lines

$55 for four lines

8 0
3 years ago
Read 2 more answers
Other questions:
  • HURRY<br><br>In the figure, j∥k and m∠2 = 117°.<br><br><br>What is the m∠3 ?
    10·1 answer
  • A line passes through the points (2,4) and (5,6) .
    13·1 answer
  • Tax rates are 10% on the first $10,000 you earn and 20% on amounts over that. You earn $15,000. What is your tax?
    9·1 answer
  • Write the equation of the​ line, with the given​ properties, in​ slope-intercept form. Slope=- 7​, through ​(- 4​,8​)
    6·1 answer
  • A gift package contains 6 wedges of cheese . If each wedges is 2/3 onuce what is the totel weight in pounds of cheese?
    14·1 answer
  • Can you solve this?? It's, 5x-9y= -2
    15·1 answer
  • The length of the rectangle is 8 cm greater than its width find the dimensions of the rectangle if it's area is 105cm^2
    10·1 answer
  • Grant also buys bottled water and juice pouches for the picnic. There are
    6·1 answer
  • Please asap<br> ........................
    10·1 answer
  • Madelyn takes 8 quizzes each week. Is the total number of quizzes Madelyn takes
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!