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leva [86]
3 years ago
15

Find the slope that passes through the two points. (9,3) and (6,7)

Mathematics
1 answer:
JulijaS [17]3 years ago
7 0

Answer:

m=4/-3

Step-by-step explanation:

the equation for slope (m) when given two points is (y2-y1)/(x2-x1)

we are given the points (9,3) and (6,7)

we can label the points:

x1=9

y1=3

x2=6

y2=7

now substitute into the equation

m=(7-3)/(6-9)

subtract

m=4/-3

the slope is 4/-3

hope this helps!

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I’ll give u brainiest pls help me im so lost
Vlad1618 [11]

Answer:

(f o g)(4)=27

Step-by-step explanation:

(f o g)(4)=2x+5

f(g(4))=2x+5

f(4²-2(4)+3)=2x+5

f(16-8+3)=2x+5

f(8+3)=2x+5

f(11)=2x+5

f(11)=2(11)+5

f(11)=22+5

f(11)=27

Therefore, (f o g)(4)=27

3 0
3 years ago
A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa
Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributied random variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 220, \sigma = 13, n = 35, s = \frac{13}{\sqrt{35}} = 2.1974

Find the interval containing the middle-most 48% of sample means:

50 - 48/2 = 26th percentile to 50 + 48/2 = 74th percentile. So

74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

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

By the Central Limit Theorem

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

0.643 = \frac{X - 220}{2.1974}

X - 220 = 0.643*2.1974

X = 221.41

26th percentile

Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

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

-0.643 = \frac{X - 220}{2.1974}

X - 220 = -0.643*2.1974

X = 218.59

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

5 0
3 years ago
Adam exchanged British pounds for Swiss franc He changed £400 into 592 francs What was the exchange rate of British pounds to Sw
OLEGan [10]

Answer: 1 : 1.48

Step-by-step explanation:

Adam was able to change £400 into 592 francs which means that the British pound is stronger because it was able to buy more Swiss francs.

The exchange rate can be gotten using direct proportion:

400 : 592

1       : x

Cross multiply:

400x = 592

x = 592/400

x = 1.48

Exchange rate is:

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5 0
3 years ago
The formula AequalsPleft parenthesis 1 plus r right parenthesis squared gives the amount A in dollars that P dollars will grow t
Volgvan

Answer:

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Step-by-step explanation:

you get an L

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3 years ago
I need help please ASAP
Murrr4er [49]

10. Kim gets $7 per hour and gets charged $1 for gloves

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Therefore the equation is y = 8x + 3

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y = -4x + 2

13. At x = 0, y = -3 so the y-intercept is -3. The slope is going up 1 and right 4 which means the slope is 1/4. The y-intercept is b and the slope is m. If we plug these values into the equation y = mx + b we get:

y = 1/4 x - 3

5 0
3 years ago
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