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igomit [66]
3 years ago
6

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag. In another shopping bag she has a 5-pound bag

of flour. The two shopping bags weigh the same amount. What is the weight of each bag of dried beans?
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
8 0

Answer: 3 pounds

Step-by-step explanation:

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Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally di
tatyana61 [14]

Answer:

1.7 × 10⁻⁴

Step-by-step explanation:

The question relates to a two sample z-test for the comparison between the means of the two samples  

The null hypothesis is H₀:  μ₁ ≤ μ₂

The alternative hypothesis is Hₐ: μ₁ > μ₂

z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}

Where;

\bar {x}_1 = 13.5

\bar {x}_2 = 12

σ₁ = 2.5

σ₂ = 1.5

We set our α level at 0.05

Therefore, our critical z = ± 1.96

For n₁ = n₂ = 23, we have;

z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969

We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96

Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983

Therefore;

The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.

8 0
3 years ago
33/(-3)+6=<br> (-20)/5 - 2=<br><br> what is the greater value?
UNO [17]
The way to do this mathematically is by incorporating the Order of Operations.(Please Excuse My Dear Aunt Sally) This stands for (do first:) Parenthesis, then exponents, after that multiplication, now division, then addition, and finally subtraction. The side on the right then equals -5 while the side on the right equals -6. The greater value is the left side. If you have any other questions, just ask me!
5 0
3 years ago
A quadratic function has a vertex of (0,7) and passes through the point (2, 3). Which of
Arlecino [84]

Answer:

Y = -2X + 7

Step-by-step explanation:

Y = a(x-h)^2 + k

From (h,k) h = 0 k = 7 x = 2 y = 3

3 = a(2-0) + 7

3 = 2a - 0 + 7

Collect like terms

2a = 3 - 7

2a = -4

Divide both sides by 2

2a/2 = -4/2

a = -2

y = a(x-h) + k

y = -2(x-0) + 7

y = -2x + 0 + 7

y = -2x + 7 or

y + 2x - 7 = 0

8 0
3 years ago
If the cost of a 2.5 meter cloth is $30.5. What will be the cost of 22 meters ?
alisha [4.7K]

Answer:

268.40

Step-by-step explanation:

We can write a ratio to solve

2.5 meters        22 meters

-----------------  = --------------

30.5 dollars       x dollars

Using cross products

2.5 * x = 30.5 * 22

2.5x =671

Divide each side by 2.5

2.5x / 2.5 = 671/2.5

x =268.4

8 0
3 years ago
Is 16/3 rational or irrational?
Rudik [331]
16/3 is rational simply because it is a fraction made up of whole numbers.

Irrational numbers cannot be expressed as fractions made up of whole numbers.
5 0
3 years ago
Read 2 more answers
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