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Bas_tet [7]
4 years ago
7

Mr. Jacobs is going to make a histogram of the test scores from the last math test he gave. He plans to first organize the data

into a stem-and-leaf plot and then make the histogram from the stem-and-leaf plot. The test scores are listed below. 79, 82, 65, 61, 94, 97, 84, 77, 89, 91, 90, 83, 99, 71, 68, 77, 87, 85 Which of the following expressions could be used to find how many students scored less than a 90 on the test?
3 + 44 + 63 + 4 + 63 + 4 + 6 + 1
Mathematics
1 answer:
lukranit [14]4 years ago
8 0
The stem and leaf plot will look like:
6 | 1 5 8 - 3 scores
7 | 1 7 7 9 - 4 scores
8 | 2 3 4 5 7 9 - 6 scores
9 | 0 1 4 7 9 - 1 score
To total up the number of students who scored less than 90, we have 3 under 60-69, 4 under 70-79, and 6 under 80-89, so this is 3 + 4 + 6. This is the third choice.
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I NEED HELP PLEASE, THANKS
castortr0y [4]

First, find the scale factor.

8.4 / 7 = 1.2

9 / 7.5 = 1.2

7.2 / 6 = 1.2

Since both solids are different sizes, the solids aren't congruent.

The size ratio for all the sides are:

8.4:7

9:7.5

7.2:6

Since the scale factor isn't 1:1 this also proves that the solids are NOT congruent.

Since both solids are the same kind of shape and have an identical scale factor, the solids are similar.

Best of Luck!

5 0
3 years ago
The formula for the perimeter of a rectangle can be written as P= 2(l+w). Solve the formula for the length l.
Ronch [10]

Undo what is done to l. l has w added and the sum multiplied by 2, so divide by 2 and subtract w:

... l = P/2 -w

5 0
3 years ago
50+5w+20m what is the coefficient variable and constant in this expression
Rainbow [258]
Coefficients are ,5,20 variables are w,m and constant is 50
3 0
3 years ago
Read 2 more answers
Rami bought a house on 1st January 2015. In2015 the house increased in value by 15%. In 2016 the house decreased in value by 8%.
shepuryov [24]

Answer:

The value of the house on 1st January 2015 was of $650,000.

Step-by-step explanation:

Decimal multipliers:

For a increase of a%, the decimal multiplier is given by \frac{100+a}{100}

For a decrease of a%, the decimal multiplier is given by \frac{100-a}{100}

Rami bought a house on 1st January 2015.

For a value of x.

In 2015 the house increased in value by 15%.

This means that x is multiplied by \frac{100+15}{100} = \frac{115}{100} = 1.15

In 2016 the house decreased in value by 8%.

This means that 1.15 times x is multiplied by \frac{100-8}{100} = \frac{92}{100} = 0.92

On 1st January 2017 the value of the house was $687700.

The value of these multiplications is 687700.

What was the value of the house on 1st January 2015?

This is x, so:

x*1.15*0.92 = 687700

x = \frac{687700}{1.15*0.92}

x = 650000

The value of the house on 1st January 2015 was of $650,000.

7 0
3 years ago
Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the shape of the grap
scZoUnD [109]
The given function is
f(x) = x³ - 11x² + 36x - 36
When x = 0, f = -36
The y-intercept is -36

Possible zeros are +/-1, +/-2, +/-3, +/-4, +/-6, +/-9
From the Remainder Theorem, x=a is a zerp if f(a) = 0.
Try x = 1:
f(1) = 1 - 11 + 36 - 36 = -10 (not a zero)
Try x = 2:
f(2) = 8 - 44 + 72 - 36  (this is a zero).

Use synthetic division.
2|  1  -11    36  -36
           2  -18    36
   ----------------------
     1   -9   18      0

Therefore
f(x) = (x - 2)(x² - 9x + 18)
      = (x - 2)(x - 3)(x - 6)
The x-intercepts are x = 2, 3, 6

As x→ -∞, f→ -8
As x→ +∞, f→ +∞

To find how f(x) behaves between the zeros, test function values between zeros.

   x      f(x)    Comments
----   ---------   ---------------
  -1       -84      negative
   0      -36      negative
   2         0       zero
 2.5  0.875      positive
   3          0      zero
   4         -4      negative
   6          0      zero
   8         60     positive
   
Summary:
y-intercept = -36
x-intercepts: 2.3.6
f→-∞ as x→-∞
f→+∞ as x→+∞

We now know enough about the shape of the curve to sketch it, as shown below.

5 0
3 years ago
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