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kykrilka [37]
2 years ago
8

John is 3 years younger than twice Monica's age. If m represents Monica's age, which equation can be used to find j, John's age?

Mathematics
1 answer:
AnnZ [28]2 years ago
7 0

Answer:

J =2m -3

Step-by-step explanation:

2m is twice Monica's age

-3 represents 3 years younger

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At a certain time of the day, a tree 15 m tall casts a shadow of 12 m, while a second tree casts a shadow of 20 m. How tall is t
Anna35 [415]
We can write a proportion: 15 m is to 12 m as some other height h is to 20 m

So we get
\frac{15}{12}=\frac{h}{20}
\rightarrow 15*20=12h
\rightarrow 12h=300
\rightarrow h=25

So the second tree is 25 m tall.
7 0
3 years ago
Find the -scores that bound the middle 96 of the area under the standard normal curve by using the TI-84 calculator.
Korvikt [17]

Answer:

\alpha=1-0.96 =0.04

And \alpha/2= 0.02 and if we use the following function on the Ti84 plus we got:

invNorm(0.02,0,1)

invNorm(1-0.02,0,1)

And the values with the middle 96% of the values are:

z_{\alpha/2}= \pm 2.054

Step-by-step explanation:

For this case we want to find the limits with the middle 96% of the area below the normal curve, then the significance level would be:

\alpha=1-0.96 =0.04

And \alpha/2= 0.02 and if we use the following function on the Ti84 plus we got:

invNorm(0.02,0,1)

invNorm(1-0.02,0,1)

And the values with the middle 96% of the values are:

z_{\alpha/2}= \pm 2.054

6 0
3 years ago
The travelers are adding a new room to their house. the room will be a cube with volume 3375 ft.³.they are going to put in hardw
Talja [164]

Answer:

$ 2250

Step-by-step explanation:

3375 = s³

s = ∛3375

s = 15 ft.

floor area = s² = (15 * 15)

floor area = 225 ft²

the contractor charges $10 per ft².

therefore,  

the hardwood cost = 225  x  $10 = $2250

7 0
3 years ago
Read 2 more answers
According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones
schepotkina [342]

Answer:

7.64% probability that they spend less than $160 on back-to-college electronics

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}

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 = 237, \sigma = 54

Probability that they spend less than $160 on back-to-college electronics

This is the pvalue of Z when X = 160. So

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

Z = \frac{160 - 237}{54}

Z = -1.43

Z = -1.43 has a pvalue of 0.0763

7.64% probability that they spend less than $160 on back-to-college electronics

4 0
3 years ago
What are the discontinuities of the function f(x) = the quantity of x squared plus 2 x minus 24, all over 6 x plus 24.?
noname [10]
The discontinuities are x=-4. Because it is a fraction, you cannot divide by zero so if the denominator is set to equal zero, which it will if x=-4, the function will be be undefined
4 0
2 years ago
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