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Orlov [11]
3 years ago
9

The least common denominator of two fractions is 12 If you add the two denominators their sum is 7 What are the denominators

Mathematics
1 answer:
Katarina [22]3 years ago
4 0
4 and 3

The LCM of these two numbers is 12.
Added together, their sum is 7.
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Adrian is 8 years old. In three years he will be 13 of his mother’s age. How old will his mother be in 3 years?
MaRussiya [10]
24? I think if it means he will be thirteen years off his mothers age
6 0
3 years ago
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Consider the following hypothesis test.H0:μ1−μ2=0 Ha:μ1−μ2≠0The following results are for two independent samples taken from the
Julli [10]

Answer:

a) z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53  

b) p_v =2*P(z

c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

Step-by-step explanation:

Information given

\bar X_{1}= 104 represent the mean for 1

\bar X_{2}= 106 represent the mean for 2

\sigma_{1}= 8.4 represent the population standard deviation for 1

\sigma_{2}= 7.6 represent the population standard deviation for 2

n_{1}=80 sample size for the group 1

n_{2}=70 sample size for the group 2

z would represent the statistic

Hypothesis to test

We want to check if the two means for this case are equal or not, the system of hypothesis would be:

H0:\mu_{1}=\mu_{2}

H1:\mu_{1} \neq \mu_{2}

The statistic would be given by:

z =\frac{\bar X_1-\bar X_2}{\sqrt{\frac{\sigma^2_1^2}{n_1} +\frac{\sigma^2_2^2}{n_2}}}=(1)

Part a

Replacing we got:

z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53

Part b

The p value would be given by this probability:

p_v =2*P(z

Part c

Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

6 0
3 years ago
A relay team of 4 people runs 3 miles.If each person runs the same distance,How many miles does each person run?
Len [333]
Well first you have to divide 3 by 4, which is 0.75 or 3/4
6 0
3 years ago
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A bag containing food has mass 3.813 kg. When the bag is empty its mass is 257 g. Find in kilograms the mass of the fruit
Elden [556K]

Answer:

I think it is 0.257 kg

Step-by-step explanation:

To change units from the gram to kilogram, you need to divide by 1000, because 1kg=1000g:

257÷1000= 0.257 Kg

5 0
3 years ago
Use the definition f ′(x) = h0f(x + h) - f(x)h to find the derivative. f(x)=x+2
NNADVOKAT [17]

Answer:

f'(x) = 1

General Formulas and Concepts:

<u>Calculus</u>

  • Limit Properties: \lim_{n \to a} c = c
  • Definition of a Derivative: f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x + 2

<u>Step 2: Find derivative</u>

  1. Substitute:                         f'(x)= \lim_{h \to 0} \frac{((x + h) + 2)-(x+2)}{h}
  2. Distribute:                          f'(x)= \lim_{h \to 0} \frac{x + h + 2-x-2}{h}
  3. Combine like terms:         f'(x)= \lim_{h \to 0} \frac{h}{h}
  4. Divide:                               f'(x)= \lim_{h \to 0} 1
  5. Evaluate:                           f'(x)= 1
8 0
3 years ago
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