Express as a unit rate: 5 apples for $3.00

Which inequality correctly orders the numbers -5,-3, and 2 from greatest to least?

lozanna [386]

Answer:

1) 2 > -3 > -5

Step-by-step explanation:

that is mathematically correct

8 0

3 years ago

Read 2 more answers

The elevation E, in meters, above sea level at which the boiling point of a certain liquid is t degrees Celsius is given by th

const2013 [10]

For T = 89.5 degrees C:
E(t) = 1100(90 - 89.5) + 520(90 - 89.5)^2= 1100(0.5) + 520(0.5)^2= 550 + 130= 680 m
For T = 90 degrees C:
E(t) = 1100(90 - 90) + 520(90 - 90)^2= 0 + 0= 0 m (meaning that boiling point is 90 degrees C at ground level)

3 0

3 years ago

Solve this equation for x. Round your answer to the nearest hundredth. 0.77 = log x

Alekssandra [29.7K]

Answer:

x ≈ 5.89

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra II

Exponential to Logarithmic: $\displaystyle b^m=x \rightarrow log_bx=m$

Step-by-step explanation:

Step 1: Define

Identify

0.77 = log(x)

Step 2: Solve for x

[Equality Property] Raise both sides to the 10th power: $\displaysytle 10^{0.77} = 10^{logx}$
Simplify: $\displaysytle x = 10^{0.77}$
Evaluate: $\displaysytle x = 5.88844$

8 0

3 years ago

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s

jasenka [17]

Answer:

The minimum score of those who received C's is 67.39.

Step-by-step explanation:

Problems of normally distributed samples are 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:

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

The Z-score measures how many standard deviations the measure 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.

In this problem, we have that:

$\mu = 73, \sigma = 11$

If 69.5 percent of the students received grades of C or better, what is the minimum score of those who received C's?

This is X when Z has a pvalue of 1-0.695 = 0.305. So it is X when Z = -0.51.

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

$-0.51 = \frac{X - 73}{11}$

$X - 73 = -0.51*11$

$X = 67.39$

The minimum score of those who received C's is 67.39.

7 0

4 years ago

a flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 30 feet mor

yarga [219]

Turn phrases into mathmatical expressions:

"one side(s) twice the length of the shortest side(x)" = 2x
"the third side(t) is 30 feet more than the length of the shortest side " = x+30
Shortest side= x

Perimeter= side1+ side 2 + side 3
138ft= x+2x+x+30
138= 4x+30
108=4x
x= 27 feet

Answer:
The shortest side is 27ft. The middle side 2x= 2(27)= 54ft. The longest side being x+30= 27+30= 57ft.

8 0

3 years ago