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2 years ago

F(x) = 3x + 2 What is f(5)? PLEASE HELP!!!!

1 answer:

8 0

Resolving a function of any nature means determining your zeros or raizes.

The zeros of a function occur when the function is null.

Then:

f(x) = 3x - 2

To determine the root
f(x) = 0 = 3x - 2
3x = 2
x = 2/3 Final result

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46.8 divided by 1.2 equals

Furkat [3]

Answer: 39

Step-by-step explanation: We have to move the decimal one place to the right to make 1.2 a whole number, so 12. You do the same thing to 46.8, so you get 468. Then you divide from there. 12 can go into 46 3 times. 12 x 3 = 36. you subtract to get 10, then bring down your 8, to get a new number of 108. 12 can go into 108 9 times. 12 x 9 = 108. Then you have a remainder of 0. Your product is 39.

4 0

2 years ago

Priya's cat weighs 5 1/2 pounds and her dog weighs 8 1/4 pounds.

Lilit [14]

Answer: The cat is 2/3 times as heavy as the dog.

Step-by-step explanation:

The weight of Priya's cat = $5\frac{1}{2}\ pounds$

Now, $5\frac{1}{2}=\frac{11}{2}\ pounds$

The weight of her dog = $8\frac{1}{4}\ pounds$

$8\frac{1}{4}=\frac{33}{4}\ pounds$

Let cat is n times heavy as dog.

Then $n=\text{cat's weight}\div\text{dog's weight}$

$n=\frac{{11}{2}\div\frac{33}{4}\\\Rightarrow\ n=\frac{11}{2}\times\frac{4}{33}\\\Rightarrow\ n=\frac{2}{3}$

Hence, The cat is 2/3 times as heavy as the dog.

5 0

3 years ago

Read 2 more answers

Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phon

leva [86]

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = proportion of households that have three cell phones NOT known.

So, Null Hypothesis, $H_0$ : p = 30% {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, $H_A$ : p $\neq$ 30% {means that the actual percentage of households different from 30%}

The test statistics that would be used here One-sample z-test for proportions;

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

where, $\hat p$ = sample proportion of households having three cell phones = $\frac{43}{150}$ = 0.29

n = sample of households = 150

So, the test statistics = $\frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }$

= -0.27

The value of z test statistic is -0.27.

Also, P-value of the test statistics is given by;

P-value = P(Z < -0.27) = 1 - P(Z $\leq$ 0.27)

= 1 - 0.6064 = 0.3936

Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.

Since our test statistic 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 actual percentage of households is equal to 30%.

4 0

3 years ago

What is the one shape of cross-section we could create by slicing the cylinder perpendicular to its base

Inga [223]

Answer:

rectangle

Step-by-step explanation:

A rectangle represents a figure with four sides having equal opposite sides and the inside angle between the two adjacent sides is ninety degree.

When any plane is made to pass through the cylinder creating a cross section which is perpendicular to its base, it results a two-dimensional cross sectional shape of a rectangle.

4 0

3 years ago

(V. An aeroplane is flying parallel to the Earth's surface at a speed of 175 m/sec and at a height of 600 m. The angle of elevat

GREYUIT [131]

dot on top of earth = plane position at the time of observation (right one when 37°, left one 53°)

then the geometry is zoomed on the left side

4 0

3 years ago