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leonid [27]
2 years ago
12

Which number line model represents the expression -2+ (- 7/2)

Mathematics
2 answers:
olga55 [171]2 years ago
8 0

Answer: -5.5

Step-by-step explanation:

Ostrovityanka [42]2 years ago
4 0

(; -2= 7/2

-5+ 7 =12

12/2=5

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A movie theater manager wants to determine whether popcorn sales have increased since the theater switched from using "butter-fl
labwork [276]

Answer:

The function that would correctly calculate the 90% range of likely sample means is given by:

B. 4,200±CONFIDENCE.T(0.10,140,12)

Step-by-step explanation:

In Microsoft Excel, the syntax

CONFIDENCE.T(alpha,standard-dev,size)  returns the confidence  interval for the population mean, using the students T-distribution.Alpha=1-90\%=10\%=0.10

The standard deviation is given as $140 and the sample size is 12.

In constructing the confidence  interval we use:

\bar X\pm CONFIDENCE.T(alpha,standard-dev,size)  

Let us substitute the values to get:

4,200\pm CONFIDENCE.T(0.10,140,12)

We use the T distribution because \sigma is unknown

8 0
2 years ago
1. Three friends pooled their money to purchase a new game system that costs $298. One person
iragen [17]

Answer:

First person: $107

Second person: $98

Third person: $93

Step-by-step explanation:

Let be "f" the amount of money (in dollars) that the first person contributed to the purchase, "s" the amount of money (in dollars) that the second person contributed to the purchase and "t" the amount of money (in dollars) that the third person contributed to the purchase.

With the information given in the exercise, you can set up the following equations:

Equation 1 → f+s+t=298

Equation 2 → s=f-9

Equation 3 → t=f-14

Substitute the Equations 2 and 3 into the Equation 1 and then solve for "f":

f+(f-9)+(f-14)=298\\\\3f-23=298\\\\f=\frac{321}{3}\\\\f=107

Finally, substitute the value of "f" into the Equation 2 and then into the Equation 3, in order to find the values of "s" and "t".

Therefore, you get:

s=107-9\\\\s=98\\\\\\t=107-14\\\\t=93

5 0
2 years ago
The label on the car's antifreeze container claims to protect the car between −40°C and 140°C. To covert Celsius temperature to
sergejj [24]

Answer:

-40 < t < 284

Step-by-step explanation:

The antifreeze protects the car between −40°C and 140°C.

Using t for temperature, the compound inequality of the Celsius temperature range is:

-40 < t < 140

The conversion formula is given to find degrees C in given degrees F. We can solve the formula for F, so we get degrees F in terms of degrees C.

C = (5/9)(F - 32)     <------ <em>conversion formula from deg F to deg C</em>

Solve for F:

(9/5)C = F - 32

(9/5)C + 32 = F

F = (9/5)C + 32    <------ <em>conversion formula from deg C to deg F</em>

Now we convert -40 deg C to deg F using the formula we just derived.

F = (9/5)C + 32

F = (9/5)(-40) + 32

F = -72 + 32

F = -40

-40 deg C = -40 deg F

(This is not a mistake or a typo. -40 deg C really is the same as -40 deg F.)

Now we convert 140 deg C to deg F using the formula we just derived.

F = (9/5)C + 32

F = (9/5)(140) + 32

F = 252 + 32

F = 284

140 deg C = 284 deg F

Now we rewrite the compound inequality with Fahrenheit temperatures.

-40 < t < 284

4 0
2 years ago
Mark and Bonnie both make $11 per hour working for their parents. If they combine their efforts and work for the same amount of
Mademuasel [1]
To answer this we would need the expressions given.
5 0
2 years ago
Shawna is making smoothies. The recipe calls for 2 parts yogurt to 3 parts blueberries. Shawna wants to make 10 cups of smoothie
vesna_86 [32]
20 cups yogurt and 30 cups blueberry
7 0
2 years ago
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