Last question if ya don’t mind giving me a help
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Dunno these answers
For one child, a childcare facility charges $350 per month for preschool and $5.00 per hour for each additional hour for after-school care. The function below can be used to determine f(h), the monthly fee for after-school care and preschool, where h represents the number of hours spent in after-school care.f(h) = 350 + 5hIf the total monthly bill for one child was $750, what was the total number of hours the child spent in after-school care?A.100B.90C.88D.80
If bulb 4 were removed from the circuit what would happen to the brightness of the remaining bulbs? would this change if bulbs 3 or 5 were removed rather than 4? explain.
What is the simplified form of (radical) 400x^100 ?200^10200^5020^1020^50
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The 3rd choice is appropriate.
Final answer:
To simplify the equation 3 square root 8^1/4x, we can utilize the properties of exponents and roots. This converts the expression to 3 * 8^1/8x.
Explanation:
The original expression in question is 3 square root of 8 raised to the power of 1/4x. We can begin to simplify this expression by first recognizing the properties of exponents. For example, the calculation of 8 raised to the 1/4 power represents the same as taking the fourth root of 8. Furthermore, the square root of a number is the same as raising that number to the power of 1/2.
So, 3 square root (8^1/4x) can be written as 3 * (8^1/4x)^1/2, which simplifies to 3 * 8^1/8x, due to the property that multiply exponents when raising powers to a power. Using properties of exponents helps us in simplifying complex equations.
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7 is the factor of 14 and 7 has 14 as its multiple.
What is Factor?
A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
Given:
We have the Number 14.
So, the factors of 14 = 1, 2, 7, 14.
and, 7 can act as factor of 14.
also, 7 has multiple 14.
Hence, 7 is the required number.
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Answer:
7 is both a factor and a multiple
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Answer:
3
Step-by-step explanation:
explanation in picture
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Final answer:
Using the chi-square distribution and given data, a 93% confidence interval for the standard deviation is found to be (0.525, 1.095). Therefore, the correct answer is option (c).
Explanation:
To construct a confidence interval to estimate the true standard deviation of the filling process for the boxes of cereal, we will use the chi-square distribution as it is used when dealing with standard deviation and variance.
The formula for the confidence interval in this case is: (sqrt((n-1)*s^2/chi2(upper)), sqrt((n-1)*s^2/chi2(lower))), where n is the sample size, s is the sample standard deviation and chi2 is the chi-square value for the corresponding degrees of freedom and confidence level.
In this case, we have n=31, s=0.81. The degrees of freedom are one less than the sample size, so df = 31 - 1 = 30. For a 93% confidence level, the chi-square values are X2(0.035, 30) = 21.92 and X2(0.965, 30) = 41.34.
Substituting these values into the formula, we get: (sqrt((31-1)*(0.81)^2/41.34), sqrt((31-1)*(0.81)^2/21.92)) = (0.525, 1.095). Hence, the correct answer is (c) (0.525, 1.095).
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Final answer:
The 93% confidence interval for the standard deviation of the filling process for the boxes of cereal is (0.658,1.058), which is choice (b). The solution is determined using chi-square distribution and the formula for constructing a confidence interval specifically for standard deviations.
Explanation:
To answer this question, we will use chi-square distribution which is commonly used to construct a confidence interval for standard deviations.
The formula for a confidence interval in this case is ( √((n-1)s² / χ²_(1 - α/2)), √((n-1)s² / χ²_(α/2)) ). Here, n is the sample size, s is the sample standard deviation, α is the significance level (1 - confidence level). χ² represents chi-square values, where α/2 and 1 - α/2 are the confidence levels for a two-tailed test.
Using the chi-square table, for n - 1 = 30 degrees of freedom, we find the chi-square value for (1 - α/2)=0.935 is 17.708 and the chi-square value for α/2=0.065 is 46.194. Substituting n = 31, s = 0.81 into the formula, we get the 93% confidence interval for the standard deviation of the filling process for the boxes of cereal as ( √((30*0.81²) / 46.194), √((30*0.81²) / 17.708) ) = (0.658, 1.058).
So, the correct answer is (b) (0.658,1.058).
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b. Segment CB is a hypotenuse.
c. Segment CA is shorter than segment BA.
d. Angle C is congruent to itself.
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Answer:
The correct answer is option A.
Step-by-step explanation:
For the given triangles to be similar the segment AD must be an altitude of ΔABC.
We can provide a theorem for the same:
If we draw an altitude from the right angle of any right triangle, then the two triangles formed are similar to the original triangle.
Also all the three triangles are similar to each other.
Like here, in the triangle ABC, we draw an altitude from A to the side BC, thus forming 2 triangles; ΔDBA and ΔDAC. These both will be similar to ΔABC.
So, by the theorem it is proven that ΔABC is similar to ΔDBA.
Therefore, option A is correct.
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Answer: The answer is 3700
Answer:3.72
Step-by-step explanation: