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Lesechka [4]
3 years ago
6

A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.

50. Which value could replace x on the table?
Mathematics
2 answers:
morpeh [17]3 years ago
7 0

Answer:

Its A

Step-by-step explanation:

I took the test on edg -_-...

alexandr1967 [171]3 years ago
4 0
Um i guess i could say 8
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A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a trip of 300
densk [106]
Let p and m represent the numbers of miles in the plains and mountains, respectively.
.. p + m = 300 . . . . . . . the whole trip was 300 miles

time = distance/speed, so the trip time can be written as
.. p/90 + m/37.5 = 3 48/60
.. 5p + 12m = 1710 . . . . . . . . . . multiply by 450 to put in standard form

You can solve these two equations by any of several means. The variable p can be eliminated by subtracting 5 times the first from the second.
.. (5p +12m) -5(p +m) = 1710 -5*300
.. 7m = 210
.. m = 30

30 miles of the trip was through the mountains.
5 0
3 years ago
Read 2 more answers
normally distributed with mean 24.6 seconds and standard deviation 0.64 seconds;the lower finishing time, the better. If the qua
marshall27 [118]

Answer:

z=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the finishing time of a population, and for this case we know the distribution for X is given by:

X \sim N(24.6,0.64)  

Where \mu=24.6 and \sigma=0.64

Solution to the problem

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.15   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

3 0
2 years ago
a woman buys a pair of shoes at a sale.she pays $60,saving $15 on the regular price.The percentage discount on the shoe is​
AleksandrR [38]
20% because 75 is the total price and 75 over 15 is 5 and 100 divided by 5 is 20
6 0
3 years ago
Plzzz help me im having alot of trouble understanding this question does some one understand if you do plz help fast!!!
juin [17]

Answer:

1/2 - 3(1/2 + 1)²

simplify the expression (1/2 + 1)

1/2 - 3•(3/2)²

using PEMDAS, we see we have to evaluate the exponent first

(3/2)² = 9/4

rewrite the equation

1/2 - 3 • (9/4)

multiply 3 by (9/4)

1/2 - (27/4)

subtract

-25/4

(1 + 1/3)² - 2/9

simplify the expression (1 + 1/3)

(4/3)² - 2/9

using PEMDAS, we see we have to evaluate the exponent first

(4/3)² = 16/9

rewrite the equation

(16/9) - (2/9)

subtract

14/9

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3 years ago
6 more than the difference of<br> band 5
lapo4ka [179]

Here's an expression:

(b - 5) + 6

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2 years ago
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