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3 years ago

P v q is true for a total of how many cars?

Mathematics

1 answer:

mario62 [17]3 years ago

4 0

Answer:D. 80

Step-by-step explanation:

all you do is add 40, 14 and 26 from the graph

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Divide. Round to the nearest tenth if necessary. 118.5 divided by 5

hodyreva [135]

Answer:

23.7

Step-by-step explanation:

7 0

3 years ago

The quadratic function g(x) = a.ca + bx+c has the

Mumz [18]

<em>The value of b is 14 and the value of c is 65</em>

<h2>Explanation:</h2>

The quadratic function is a function of the form:

$f(x)=ax^2+bx+c$

Here we know that the leading coefficient $a=1$ so we reduce our equation to:

$g(x)=x^2+bx+c$

The roots are those values at which $g(x)=0$

So:

$x^2+bx+c=0 \\ \\ First \ root: \\ \\ (-7+4i)^2+b(-7+4i)+c=0 \\ \\ (-7)^2-2(7)(4i)+(4i)^2-7b+4bi+c=0 \\ \\ 49-56i+16i^2-7b+4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49-56i+16(-1)-7b+4bi+c=0 \\ \\ 49-56i-16-7b+4bi+c=0 \\ \\ 33-56i-7b+4bi+c=0 \\ \\ \\$

$Second \ root: \\ \\ (-7-4i)^2+b(-7-4i)+c=0 \\ \\ (-1)^2(7+4i)^2+b(-7-4i)+c=0 \\ \\ (7)^2+2(7)(4i)+(4i)^2-7b-4bi+c=0 \\ \\ 49+56i+16i^2-7b-4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49+56i+16(-1)-7b-4bi+c=0 \\ \\ 49+56i-16-7b-4bi+c=0 \\ \\ 33+56i-7b-4bi+c=0$

So we have:

$(1) \ 33-56i-7b+4bi+c=0 \\ \\ (2) \ 33+56i-7b-4bi+c=0 \\ \\ \\ Subtract \ 2 \ from: \\ \\ 33-56i-7b+4bi+c-(33+56i-7b-4bi+c)=0 \\ \\ 33-56i-7b+4bi+c-33-56i+7b+4bi-c=0 \\ \\ \\ Combine \ like \ terms: \\ \\ 33-33-56i-56i-7b+7b+4bi+4bi+c-c=0 \\ \\ -112i+8bi=0 \\ \\ Isolating \ b: \\ \\ b=\frac{112i}{8i} \\ \\ \boxed{b=14}$

Finding c from (1):

$33-56i-7b+4bi+c=0 \\ \\ \\ Substituting \ b: \\ \\ 33-56i-7(14)+4(14)i+c=0 \\ \\ 33-56i-98+56i+c=0 \\ \\ -65+c=0 \\ \\ \boxed{c=65}$

<h2>Learn more:</h2>

Complex conjugate: brainly.com/question/2137496

#LearnWithBrainly

5 0

3 years ago

3. Suppose you are testing H0 : µ = 20 vs H1 : µ > 20. The sample is large (n = 71) and the variance, σ 2 , is known. (a) Fin

LUCKY_DIMON [66]

Answer:

We reject the null hypothesis.

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 71

Population variance is known.

Level of significance, α = 0.08

$z_{\text{stat}} = 1.56$

The null and alternate hypothesis are:

$H_{0}: \mu = 20\\H_A: \mu > 20$

We use one-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} } = 1.56$

Now, $z_{critical} \text{ at 0.08 level of significance } = 1.41$

Since,

$z_{stat} > z_{critical}$

We fail to accept the null hypothesis and reject it and accept the alternate hypothesis.

7 0

3 years ago

Evaluate expression: 3(5g + 5 - 2)

stepladder [879]

Answer: 15g + 9

Step-by-step explanation: Have a brilliant day!- Lily ^_^ Plz mark brainliest.

8 0

3 years ago

PLEASE I REALLY CAN'T THINK OF ANYTHING ELSE <br> list 2 differences between y = sin x and y = cos x

r-ruslan [8.4K]

Answer:

The sine and cosine functions have several distinct characteristics: They are periodic functions with a period of 2π. ... The graph of y = sin x is symmetric about the origin, because it is an odd function. The graph of y = cos x is symmetric about the y-axis, because it is an even function.

Pls, branliest! :)

7 0

3 years ago

Read 2 more answers