-7 + m = 8 please answer the question

If f(x) = 2x + 1 and g(x) = x2 find g (f(3))

galben [10]

Answer:

g(f(3)) = 49

Step-by-step explanation:

Evaluate f(3), then substitute the value obtained into g(x) , that is

f(3) = 2(3) + 1 = 6 + 1 = 7, then

g(7) = 7² = 49

3 0

3 years ago

Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of zo = 5i.

Ratling [72]

Answer:

C

Step-by-step explanation:

Saw it on a quizlet

3 0

3 years ago

Find the volume of a cone that has a height of 15 centimeters and a radius of 6 centimeters.

Mekhanik [1.2K]

Answer:

565.2

Step-by-step explanation:

Cone=1/3bh

B is pir^2

so that means b=pi36 (6*6 =36)

36*15/3 is 565.2

7 0

3 years ago

A company with a fleet of 150 cars found that the emissions systems of only 4 out of the 25 they tested failed to meet pollution

salantis [7]

Answer:

No, there is no strong evidence that the percentage of the fleet out of compliance is different from their initial thought.

Step-by-step explanation:

We are given that a company with a fleet of 150 cars found that the emissions systems of only 4 out of the 25 they tested failed to meet pollution control guidelines.

The company initially believed that 30% of the fleet was out of compliance.

Let p = percentage of the fleet that was out of compliance.

SO, Null Hypothesis, $H_0$ : p = 30% {means that the percentage of the fleet out of compliance is same as their initial thought}

Alternate Hypothesis, $H_A$ : p $\neq$ 30% {means that the percentage of the fleet out of compliance is different from their initial thought}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = percentage of the fleet out of compliance = $\frac{4}{25}$ = 16%

n = sample of systems tested = 25

So, test statistics = $\frac{0.16-0.30}{{\sqrt{\frac{0.16(1-0.16)}{25} } } } }$

= -1.909

The value of the test statistics is -1.909.

Since in the question we are not given with the level of significance at which hypothesis can be tested, so we assume it to be 5%. Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test.

Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the percentage of the fleet out of compliance is same as their initial thought.

3 0

3 years ago

The graph below shows a line of best fit for data relating the number of marbles added in a jar to the total weight of the jar,

Rudiy27

Answer: D.

The y-intercept of the line means that the weight of the empty jar is about 160 grams.

Step-by-step explanation:

We know that the equation of line is given by $y=mx+c$ , where m is the slope of the line and c is the initial amount .

For the given linear equation $y=4.95x+160.03$

where x is the number of marbles added, and y (dependent variable ) is the weight of the jar.

Slope of line m= 4.95 which is approximately 5 , thus, for every increase in marble, weight of jar increased by approx 5 gram.

To find the y intercept , put x=0, we get

y=160.03 which means if there is no marble then the weight of the jar = 160.03 grams or approximately 160 grams.

Thus, The y-intercept of the line means that the weight of the empty jar is about 160 grams.

3 0

3 years ago

-7 + m = 8 please answer the question ​

-7 + m = 8 please answer the question