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Simora [160]
2 years ago
9

1 gallon of batter is poured equally into 4 bowls. How many gallons of batter are in each bowl?

Mathematics
1 answer:
yarga [219]2 years ago
5 0

Answer:

1/4 of a gallon otherwise known as 1 quart.

Step-by-step explanation:

This is because you are spliting one thing into four parts so each bowl would have 1/4 of the gallon.

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0 gram setting. It
MrRa [10]

Answer:

|Z| = |-1.36| < 1.645 at 0.1 level of significance

The null hypothesis is accepted

A manufacturer of banana chips are filling machine works correctly at the mean 449

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given mean of the Population(μ) = 449

The Standard deviation of the population(σ) = 22

size of the sample 'n' = 36

mean of the sample(x⁻) = 444

Given the level of significance(α) = 0.1

Critical value Z = 1.645

<u><em>Step(ii):</em></u>-

<em>Null hypothesis</em>:H₀:

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0

(μ) = 449

<em>Alternative Hypothesis</em>:H₁: (μ) ≠ 449

Test statistic

                  Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } } \\= \frac{444-449}{\frac{22}{\sqrt{36} } }

                 = -1.36

<em>Final answer:-</em>

|Z| = |-1.36| < 1.645 at 0.1 level of significance

The null hypothesis is accepted

A manufacturer of banana chips are filling machine works correctly at the mean 449

5 0
2 years ago
Let f (x) = 2x - 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following: h (h(x)) and. g (h (x))
ki77a [65]
H(h(x)) means to use the entire function h(x) as the x value in the function h(x)..

h(h(x)) = (x²+1)² + 1
= (x²+1)(x²+1) + 1
= (x^4 + x² + x² + 1) + 1 
= x^4 + 2x² + 2

g(h(x)) means to use the entire function h(x) as the x value in the function g(x)..

g(h(x)) = 3(x² + 1)
= 3x² + 3
g(h(x))
7 0
2 years ago
Genber wiil evaluate an 8th degree polynomial in x at x=10 using the remainder theorem and synthetic division.how many coefficie
lisabon 2012 [21]
An 8th-degree polynomial needs 9 terms that involve
 x⁸, x⁷, ..., x¹, and x⁰.

x=10 implies that (x-10) is a factor of the polynomial according to the Remainder theorem.

Let the polynomial be of the form
f(x) = a₁x⁸ + a₂x⁷ + a₃x⁶ +a₄x⁵ + a₅x⁴ + a₆x³ + a₇x² + a₈x + a₉

The first few lines of the synthetic division are

10 | a₁  a₂  a₃  a₄  a₅  a₆  a₇  a₈  a₉             ( the first row has 9  coefficients)

    -----------------------------------------
      a₁

Answer:
The first row has 9  coefficients.
8 0
3 years ago
X^2 + x^2=6^2 what is x​
nikitadnepr [17]

Answer:

x = ±3 sqrt(2)

Step-by-step explanation:

x^2 + x^2=6^2

Combine like terms

2x^2 = 6^2

Divide each side by 2

x^2 = * 6^2/2

Take the square root of each side

sqrt(x^2) =± sqrt(  6^2/2)

Remember that sqrt(a/b) = ±sqrt(a ) /sqrt(b)

x = ±sqrt(6^2)/sqrt(2)

x = ±6 /sqrt(2)

We do not leave square roots in the denominator, so we multiply the top and bottom by sqrt(2)

x = ±6 /sqrt(2) * sqrt(2)/ sqrt(2)

x = ±6 *sqrt(2) /( sqrt(2)*sqrt(2))

x =  ±6 sqrt(2) /(2)

x = ±3 sqrt(2)

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3 years ago
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39. FALSE
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