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3 years ago

Change 3/4 to sixteenths=

Mathematics

2 answers:

Vlad1618 [11]3 years ago

4 0

Answer:

3/4 = 12/16

Step-by-step explanation:

3/4 x 4/4 = 12/16

dangina [55]3 years ago

3 0

Answer:

3/4 = 12/16

Step-by-step explanation:

16/4 = 4

4*3 = 12

then:

3/4 = 12/16

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Which graph represents the function<br> f(x) = (x + 4)(x + 1)(x - 3)<br> ?

attashe74 [19]

Answer:

Step-by-step explanation:

The graph that represents the function

f(x) = (x + 4)(x + 1)(x - 3)

crosses the x-axis three times: at x = -4, x = -1, and x = 3

because we apply the zero product rule and found the roots -4, -1, and 3

x+ 4= 0 → x = -4

x+1 = 0 → x = -1

x-3 = 0 → x = 3

8 0

2 years ago

LAW OF SINES??? NEED HELP.

snow_tiger [21]

Answer:

Step-by-step explanation:

We know by the Triangle Angle-Sum Theorem that the angles of a triangle all add up to equal 180. So we find angle B:

180 - 82 - 55 = 43

So angle B = 43. Now we can use the Law of Sines to solve for side b:

$\frac{sin(55)}{8}=\frac{sin(43)}{b}$

Cross multiply to get

b sin(55) = 8 sin(43) and divide to solve for b:

$b=\frac{8sin(43)}{sin(55)}$ so

b = 6.6605

3 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A construction

charle [14.2K]

Answer:

$y=\frac{11}{20}x+6$

Step-by-step explanation:

Given:

Two points are given

x = number of minutes

y = length of the lin

$(x_{1},y_{1} )$ ⇒ (0, 6)

$(x_{2},y_{2} )$ ⇒ (20, 17)

We need to find the equation that represents the relationship between x, y.

Solution:

Using slope formula to find the slope of the equation of the line.

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute $(x_{1},y_{1} )$ = (0, 6) and $(x_{2},y_{2} )$ = (20, 17) in above equation.

$m=\frac{17-6}{20-0}\\m=\frac{11}{20}$

So, slope of the line $m = \frac{11}{20}$

Using point slope formula.

$(y-y_{1})=m(x-x_{1})$ ------------(1)

Where, m = slope of the line

Substitute $(x_{1},y_{1} )$ ⇒ (0, 6) and $m = \frac{11}{20}$ in equation 1.

$(y-6)=\frac{11}{20} (x-0)$

$y-6=\frac{11}{20}x$

Add 6 both side of the equation.

$y-6+6=\frac{11}{20}x+6$

$y=\frac{11}{20}x+6$

Therefore, the equation that represents the relationship between x and y is written as:

$y=\frac{11}{20}x+6$

6 0

3 years ago

The following data gives the speeds (in mph), as measured by radar, of 10 cars traveling north on I-15. 76 72 80 68 76 74 71 78

____ [38]

Answer:

71.123 mph ≤ μ ≤ 77.277 mph

Step-by-step explanation:

Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:

$m-t_{a/2,n-1}\frac{s}{\sqrt{n} }$ ≤ μ ≤ $m+t_{a/2,n-1}\frac{s}{\sqrt{n} }$

Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and $t_{a/2,n-1}$ is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.

the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.

So, if we replace m by 74.2, s by 5.3083, n by 10 and $t_{0.05,9}$ by 1.8331, we get that the 90% confidence interval for the mean speed is: