Is the function f(x) = (- 7) ^ x an exponential function ? If so , identify the base . If not , why not ?

How does the slope of the red triangle compare to the slope of the blue triangle

fredd [130]

I think you are missing part of the quaetion there are no triangles.

6 0

4 years ago

The number of peanuts in a 16-ounce can of Nut Munchies is normally distributed with a mean of 96.3 and a standard deviation of

andriy [413]

To calculate for the z-score we use the formula:
z=(x-μ)/σ
thus the answers to questions will be as follows:

a]Carmen purchased a 16-ounce can of Nut Munchies and counted 100 peanuts. What is the z-score for this can of peanuts?
x=100
μ=96.3
σ=2.4
z=(100-96.3)/2.4
z=1.542

b]Angelo purchased a 20-ounce can of Gone Nuts and counted 116 peanuts. What is the z-score for this can of peanuts?
x=116
μ=112.6
σ=2.8
thus
z=(116-112.6)/2.8
z=1.214

c]Carmen declares that purchasing her can of Nut Munchies with 100 peanuts is less likely than Angelo purchasing a can of Gone Nuts with 116 peanuts. Is Carmen’s statement correct? Use the definition of a z-score to support or refute Carmen’s claim.
This is very correct because because by definition of z-score, Munchies with 100 peanuts is 1.542 away from the mean as compared to Munchies with 116 peanuts which is 1.214 standard deviations from the mean hence the higher likelihood.

6 0

3 years ago

What is the length of the screwdriver shown in this picture?

nadezda [96]

The answer would be that the screwdriver is 7 cm

7 0

3 years ago

8. Based on the multiplication rule for independent events, what is the probability of getting an airplane in both boxes? Explai

Furkat [3]

Answer:

$P(A and B ) = \frac{1}{4}* \frac{1}{4}=\frac{1}{16}$

Step-by-step explanation:

We assume the following problem: "Consider the following ways students might create their lists using the notation:

B for block, W for watch, R for ring, and A for airplane. The first letter represents the toy found in the first box, and the second letter represents the toy found in the second box. The first column represents getting the block in the first box, followed by each one of the other toys. The second column represents getting the watch in the first box, followed by each one of the other toys. The third column is developed with the ring in the first box, and the fourth column is developed with the airplane in the first box"

And the possible outcomes are:

BB WB RB AB

BW WW RW AW

BR WR RR AR

BA WA RA AA

As we can see we have 16 possibilities.

For this case if we use the independence of events we have the following rule. If A and B are independent events then:

$P(A and B) = P(A) *P(B)$

Let A = Select an airplane from the total of 4 for the first box

B= Select an airplane from the total of 4 for the second box

For this case probability of getting an airplane selected in the first box is 1 out of 4 since we have just one outcome possible and 4 possible.

$P(A) = \frac{1}{4}$

And the probability of getting an airplane selected in the second box is also 1/4 since for the first box selected we have the same number of optiosn for the second box , 4.

$P(B) = \frac{1}{4}$

So then we have this:

$P(A and B ) = \frac{1}{4} \frac{1}{4}=\frac{1}{16}$

5 0

4 years ago

What is the equation of a line (in standard form) that passes through point A(1,-4) and has a slope of 3/4?

Anna35 [415]

Answer:

3x-4y=19

Step-by-step explanation:

Hi there!

We want to write the equation of the line in standard form that passes through the point (1, -4) and has the slope of 3/4

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative

First, in order to find ax+by=c, we'll need to get slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since we already know the slope (3/4), we can substitute it into the formula for y=mx+b.

y=3/4x+b

Now we need to solve for b

Since the equation passes through the point (1, -4), we can use it to solve for b

Substitute 1 as x and -4 as y.

-4=3/4(1)+b

Multiply

-4=3/4+b

Subtract 3/4 from both sides

-19/4=b

Now substitute -19/4 as b into the equation

y=3/4x-19/4

Now we have the equation in slope-intercept form, but remember, we want it in standard form

Since x and y are on the same side in standard form, subtract 3/4x from both sides

-3/4x+y=-19/4

Remember that a cannot be negative, and the coefficients are integers (they cannot be fractions)

So in order to clear the fractions and change the sign of the equation, multiply both sides by -4

-4(-3/4x+y)=-4(-19/4)

Multiply

3x-4y=19

Hope this helps!

8 0

3 years ago