Write an equation to represent the following statement. 24 is 4 times as great as k.

Can the absolute value of -4 be a negative number

oksian1 [2.3K]

an negative can't be a absolute value

8 0

3 years ago

Please help me, I need a math expert

Luda [366]

Sampe : Total
25 : 750
(÷25) (÷25)
1 : 30
( x7) ( x7)
7 : 210

Answer: (a) There is a total of 210 orange cakes made on Monday.

The sample is 5 when corrected to the nearest whole number.
⇒Smallest possible number is 4.5

Total orange cakes baked on Tuesday = 4.5 x 30 = 135

P(Orange Cake) = 135/750 = 9/50

Answer: (b) The probability is 9/50

8 0

3 years ago

Evaluate the expression when c=9 and d=8. 4c+d please help

guapka [62]

Answer:

44

Step-by-step explanation

4c + d

this is an expression and since they provided c and d it is easy to solve

c = 9 and d = 8. You need to plug in c and d into the expression to solve the problem.

4(9) + (8)

4 times 9 is 36 so it leaves you with 36 + 8

36 + 8 = 44

I hope this helps but basically the concept is just plugging in the numbers in place of the variables. For future problems plug in the numbers given where the variables are.

7 0

3 years ago

Find the indefinite integral using the substitution x = 10 sin(θ). (Use C for the constant of integration.) 1 (100 − x2)3/2 dx

soldi70 [24.7K]

Answer:

The indefinite integral

= $\frac{1}{100}$ ˣ $\frac{x}{\sqrt{100-x^{2} } }$ ⁺ C

Step-by-step explanation:

x= 10sinθ

dx = 10cosθdθ

the step-to-step explanation is in the attachment

3 0

3 years ago

To estimate the mean height μ of male students on your campus,you will measure an SRS of students. You know from government data

nexus9112 [7]

Answer:

a) $\sigma = 0.167$

b) We need a sample of at least 282 young men.

Step-by-step explanation:

Problems of normally distributed samples can be 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

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

This Zscore is how many standard deviations the value of the measure X 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.

(a) What standard deviation must x have so that 99.7% of allsamples give an x within one-half inch of μ?

To solve this problem, we use the 68-95-99.7 rule. This rule states that:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we want 99.7% of all samples give X within one-half inch of $\mu$ . So $X - \mu = 0.5$ must have $Z = 3$ and $X - \mu = -0.5$ must have $Z = -3$ .

So

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

$3 = \frac{0.5}{\sigma}$

$3\sigma = 0.5$

$\sigma = \frac{0.5}{3}$

$\sigma = 0.167$

(b) How large an SRS do you need to reduce the standard deviationof x to the value you found in part (a)?

You know from government data that heights of young men are approximately Normal with standard deviation about 2.8 inches. This means that $\sigma = 2.8$