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Mandarinka [93]
4 years ago
7

what is the equation of the line, in point-slope form, that passes through the given point and has the given slope ? point (7,3)

; slope:4/7
Mathematics
1 answer:
Maru [420]4 years ago
6 0

Answer:

y-3 = 4/7(x-7)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1)

We know the slope (4/7)

and a point (7,3)

Lets substitute into the equation

y-3 = 4/7(x-7)

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A standardized test was given to a set of high school juniors and the distribution of the data is bell shaped. The mean score is
stira [4]

Answer:

920 points.      

Step-by-step explanation:    

We have been given that the mean score for a standardized test is 800 and the standard deviation is 120. To qualify for a special summer camp for accelerated students, a student must score within the top 16% of all scores on the test.

First of all we will find probability of 0.16 using normal distribution table.

Using normal distribution our Z score will be 0.994458

Now we will use raw-score formula to find the score (x) that a student must make to qualify for summer camp.  

x=\text{Mean}+\text{ Standard deviation* Z score}

Upon substituting our given values in above formula we will get,

x=800+120\times 0.994458

x=800+119.33496

x=919.33496

Upon rounding to nearest whole number we will get,

x=920

Therefore, a student must make 920 points to qualify for summer camp.

5 0
3 years ago
Which is the smallest integer? -11; 53; 33; -13; -7
user100 [1]

Answer:

-13

Step-by-step explanation:

-13 of course is the smallest integer

8 0
3 years ago
A gardener has 12 5/8 pounds of mulch. She uses 8 3/16 pounds of the mulch. How much mulch is left?
SOVA2 [1]

Answer:

Exact Form: \frac{71}{16}

Decimal Form: 4.4375

Mixed Number Form: 4 \frac{7}{16}

Step-by-step explanation:

You subtract 12 \frac{5}{8} from 8 \frac{3}{16}. Hope this helps!

7 0
3 years ago
What is the diameter of a circle of area 3850 m square​
Darya [45]

Answer:

70.01

steps by-step explanation:

4 0
3 years ago
$1400 at 1.25% for 3 years what is the balance of the account
grin007 [14]

Answer:

\$1,452.5

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=3\ years\\ P=\$1,400\\r=0.0125

substitute in the formula above

A=\$1,400(1+0.0125*3)

A=\$1,400(1.0375)=\$1,452.5

7 0
4 years ago
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