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Furkat [3]
3 years ago
12

What is the y-intercept of the graph of the equation y=4(3^x)?

Mathematics
2 answers:
eimsori [14]3 years ago
8 0

Answer:

The y-intercept is (0, 4).

Step-by-step explanation:

At the y-intercept x = 0 so

y = 4(3^0)

y = 4*1 = 4.

So the y-intercept is (0, 4).

zmey [24]3 years ago
7 0

Answer:

4, or (0, 4)

Step-by-step explanation:

Set x = 0 and evaluate y=4(3^x):  y(0) = 4(3^0) = 4(1) = 4.

The y-intercept is 4, or (0, 4).

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Is 3 1/4 closer to 3 or 4<br><br><br>is 3 3/5 closer to 3 or 4​
agasfer [191]

Answer:3 and 1/4 is closer to 3 and 3/5 is closer to 4

Step-by-step explanation:  one is closer on the number scale then the other

3 0
2 years ago
So, I think the Knave of Spades is telling the truth because he wasn't accused of anything but im not sure. Brainliest goes to w
dlinn [17]

Answer:

B

Step-by-step explanation:

It all starts whether the Knave of Hearts tells the truth or not. You can decide yourself.

Hearts: H

Clubs: C

Diamonds: D

Spades: S

If H lies, C tells the truth, therefor D lies. So S tells the truth

If H tells the truth, C lies. Therefore D tells the truth and S lies

3 0
3 years ago
Read 2 more answers
Compute the total cost of the meal to the nearest cent:
sveticcg [70]

Answer:

D. $32.67

Step-by-step explanation:

4 0
3 years ago
Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In p
Olegator [25]

Answer:

Reject <em>H</em>₀. There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

In this case we need to determine whether the data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states.

The significance level of the test is, <em>α</em> = 0.02.

(1)

The hypothesis can be defined as follows:  

<em>H</em>₀: There is no difference between the proportions of drug-resistant cases in the two states, i.e. p_{1} - p_{2}=  0.  

<em>Hₐ</em>: There is a statistically significant difference between the proportions of drug-resistant cases in the two states, i.e. p_{1} - p_{2}\neq  0.  

(2)

Compute the sample proportions and total proportion as follows:

\hat p_{1}=\frac{12}{189}=0.063\\\\\hat p_{2}=\frac{8}{429}=0.019\\\\\hat p=\frac{12+8}{189+429}=0.032\\

Compute the test statistic value as follows:

Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}

   =\frac{0.063-0.019}{\sqrt{0.032(1-0.032)\times [\frac{1}{189}+\frac{1}{429}]}}\\\\=2.86

The test statistic value is 2.86.

(3)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

p-value=2\cdot P(Z>2.86)=2\times 0.00212=0.00424

<em>p</em>-value = 0.00424 < <em>α</em> = 0.02.

The null hypothesis will be rejected at 0.02 significance level.

Reject <em>H</em>₀. There is a significant difference in drug resistance between the two states.

7 0
3 years ago
After a party there was 1/2 of a pizza leftover. If George gave 1/2 of the leftover to Olivia what fraction of the pizza did he
xeze [42]
Fraction leftover = 1/2

George gave (1/2) of the leftover to Olivia:

=    1/2  * 1/2

= 1/4

Fraction George gave to Olivia = 1/4
7 0
3 years ago
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