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2 years ago

Suzi needs to open her safe. She has forgotten the code!

Mathematics

1 answer:

Mila [183]2 years ago

6 0

Answer:

1236

The first four-digit number where all the digits are different, one being bigger than the one after it.

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Determine the maximum number of zeros of the polynomial function

IRINA_888 [86]

Answer:

Step-by-step explanation:

6 0

2 years ago

Which equation does the graph of the systems of equations solve?

Viktor [21]

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

$\frac{1}{3}x+1=2x-4$

Subtract 1 from both sides

$\frac{1}{3}x+1-1=2x-4-1$

Simplify

$\frac{1}{3}x=2x-5$

subtract 2x from both sides

$\frac{1}{3}x-2x=2x-5-2x$

Simplify

$-\frac{5}{3}x=-5$

Multiply both sides by 5

$3\left(-\frac{5}{3}x\right)=3\left(-5\right)$

Simplify

$-5x=-15$

Divide both sides by -5

$\frac{-5x}{-5}=\frac{-15}{-5}$

Simplify

$x=3$

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

4 0

3 years ago

What is the slope of a line parallel to the line with equation y = 5x – 2

BARSIC [14]

Answer:

A:5

Step-by-step explanation:

if it asks for parallel it will always be the same slope

5 0

2 years ago

A water jug holds 8 quarts of water. The jug is shared evenly between 4 people. How many cups of water does each person get?

Elanso [62]

Answer: 8 cups each

explanation: 1 quart= 4 cups
8 quarts=32 cups
32 cups/ 4 people= 8 cups each

6 0

3 years ago

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$

Now we calculate the F statistic as:

$F=MSB/MSE=172/23.78=7.23$

The degrees of freedom of the numerator are:

$dfn=a-1=3-1=2$

The degrees of freedom of the denominator are:

$dfd=N-a=3*4-3=12-3=9$

The P-value of F=7.23, dfn=2 and dfd=9 is:

$P-value=P(F>7.23)=0.01342$

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0

3 years ago