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Valentin [98]
2 years ago
9

Jim has 12 colored papers 8 bows 2 different colored markers and 2 envelopes How many different cards can Jim make

Mathematics
1 answer:
ikadub [295]2 years ago
8 0
384 because 12*8=96*2=192*2=384
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Race times at the local monthly 5k run are normally distributed, with a mean time of 32 minutes and a standard deviation of 4 mi
galina1969 [7]

Answer:

68%

Step-by-step explanation:

The mean is 32 minutes, and the standard deviation is 4 minutes.

28 is 1 standard deviation below the mean, and 36 is 1 standard deviation above the mean.

According to the empirical rule, 68% of a normal distribution is between -1 and 1 standard deviations.  95% is between -2 and 2 standard deviations.  99.5% is between -3 and 3 standard deviations.

So the answer is 68%.

7 0
3 years ago
What is the result of converting 1250 yards into miles? Remember that 1 mile = 1760 yards.
Kobotan [32]

Answer:

Step-by-step explanation:

1.41

8 0
2 years ago
Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral
aleksandrvk [35]

Answer:

Correct answer is C)\ 254\ m^{2}

Step-by-step explanation:

As per the given diagram, we know the following details:

Height of the triangular pyramid is <em>14m</em>.

<em>Side of base</em> = <em>10m </em>

Height of Triangular base = <em>8.7m</em>

Formula for <em>surface area of triangular pyramid</em>:

\text{Area = Area of Triangular base + 3 }\times\text{Area of side triangle}

(Triangular base is shown in the dotted lines in the question figure.

The other 3 triangles are the side triangles.)

We know that,

\text{Area of a triangle = }\dfrac{1}{2} \times \text{Base} \times \text{Height}

\Rightarrow \text{Required Surface Area = } \dfrac{1}{2} \times 8.7 \times 10 + 3 \times \dfrac{1}{2} \times 14 \times 10\\\Rightarrow \dfrac{1}{2}\times (87 + 3 \times 140)\\\Rightarrow \dfrac{1}{2}\times (87 + 420)\\\Rightarrow \dfrac{1}{2} \times 507\\$\approx$ 254 m^{2}

Hence correct answer is C)\ 254\ m^{2}.

3 0
2 years ago
Which equation is a quadratic model for the data set? Hint: Use a graphing calculator or a spreadsheet program.
Ivahew [28]

The equation that model a quadratic function is:  y=0.9673x²-0.8475x+10.4334

Step-by-step explanation:

A quadratic function has the form of ;

f(x) = ax²+bx+c  where a, b and c are real numbers and a≠0

For this case, equation y=0.9673x²-0.8475x+10.4334 models a quadratic function where a>0 thus the parabola opens upwards

See attached figure below to visualize the graph

Learn More

Quadratic functions graphs: brainly.com/question/9048896

Keywords : equation, quadratic model, data set, calculator, spreadsheet program.

#LearnwithBrainly

4 0
3 years ago
Use the properties of logarithms to prove log, 1000 = log2 10.
Leto [7]

Given:

Consider the equation is:

\log_81000=\log_210

To prove:

\log_81000=\log_210 by using the properties of logarithms.

Solution:

We have,

\log_81000=\log_210

Taking left hand side (LHS), we get

LHS=\log_81000

LHS=\dfrac{\log 1000}{\log 8}                  \left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]

LHS=\dfrac{\log (10)^3}{\log 2^3}

LHS=\dfrac{3\log 10}{3\log 2}                   [\because \log x^n=n\log x]

LHS=\dfrac{\log 10}{\log 2}

LHS=\log_210                    \left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]

LHS=RHS

Hence proved.

6 0
3 years ago
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