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3 years ago

Cassie has test grades of 71, 78 and 83 on the first three tests in her

Mathematics

2 answers:

Neporo4naja [7]3 years ago

3 0

Answer:

x ≥ 88

Step-by-step explanation:

In order to have at least an average of 80 after 4 tests, the sum of her scores must be at least 80 * 4 = 320 so we can write the following inequality:

71 + 78 + 83 + x ≥ 320

232 + x ≥ 320

x ≥ 88

Sphinxa [80]3 years ago

3 0

Answer:

Your correct answer to this problem is x ≥ 88

Step-by-step explanation:

71 + 78 + 83 + x ≥ 320

232 + x ≥ 320

= x ≥ 88

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A train goes at a constant speed. If it covers 150 miles in 2 1/2 hours What distance would it cover in 3 hours?

Hoochie [10]

Hi there!

In order to find your answer, you'll need to use the cross product method :

150 miles → 2 1/2 hours = 150 minutes

x miles → 3 hours = 180 minutes

(150 × 180) ÷ 150 = x miles

27,000 ÷ 150 = x miles

180 = x miles

Your answer is: A train would cover 180 miles in 3 hours.

There you go! I really hope this helped, if there's anything just let me know! :)

8 0

3 years ago

Read 2 more answers

A soup company puts 12 ounces of soup in each can. The company has determined that 97% of cans have the correct amount. Which of

lana [24]

Answer:

Option d: n = 36, p = 0.97, x = 36.

Step-by-step explanation:

We are given that a soup company puts 12 ounces of soup in each can. The company has determined that 97% of can have the correct amount.

We have to describe a binomial experiment that would determine the probability that a case of 36 cans has all cans that are properly filled.

Let X = Number of cans that are properly filled

The above situation can be represented through binomial distribution;

$P(X = x) = \binom{n}{x} \times p^{x} \times (1-p)^{n-x} ; x = 0,1,2,........$

where, n = number of trials (samples) taken = 36 cans

x = number of success = all cans are properly filled = 36

p = probabilitiy of success which in our question is probability that

can have the correct amount, i.e. p = 97%

So, X ~ Binom (n = 36, p = 0.97)

Hence, from the options given the correct option which describes a binomial experiment that would determine the probability that a case of 36 cans has all cans that are properly filled is n = 36, p = 0.97, x = 36.

4 0

4 years ago

f left parenthesis x right parenthesis equals StartFraction 16 x squared Over x Superscript 4 Baseline plus 64 EndFractionf(x)=1

Jlenok [28]

Answer:

a) Yes

b) (2,0.8)

c) $(2\sqrt2,1), (-2\sqrt2,1)$

d) $x \in (-\infty,\infty)$

e) (0,0)

f) (0,0)

Step-by-step explanation:

We are given the following function in the question:

$f(x) = \displaystyle\frac{16x^2}{x^4 + 64}$

a) We have to check whether given point lies on the function or not.

$(-2\sqrt2,1)\\\\f(-2\sqrt2) = \displaystyle\frac{16(-2\sqrt2)^2}{(-2\sqrt2)^4 + 64} = \frac{128}{128} = 1$

b) Find value of f(x) at x = 2

$f(2) = \displaystyle\frac{16(2)^2}{(2)^4 + 64} =\frac{64}{80}= 0.8$

Thus, (2,0.8) lies on the graph of given function.

c) We have to find the value of x, when f(x) = 1

$1 = \displaystyle\frac{16x^2}{x^4 + 64}\\\\x^4 -16x^2 + 64 = 0\\(x^2-8)^2 = 0\\x^2 - 8 = 0\\x = \pm 2\sqrt2$

$(2\sqrt2,1), (-2\sqrt2,1)$ lies on he graph of function.

d) Domain is the collection of all values of x for which the function is defined.

$x \in (-\infty,\infty)$

e) x-intercepts

This is the value of x such that the function is zero.

$0 = \displaystyle\frac{16x^2}{x^4 + 64}\\\\16x^2 = 0\\x = 0$

f) y-intercept

It is the value of function when x is zero.

$f(0) = \displaystyle\frac{16(0)^2}{(0)^4 + 64} = 0$

The function passes trough origin.

5 0

3 years ago

Train a is 14 mph slower than train B. Train A travels 220 miles in the same time train B travels 290 miles. Find the speed of b

djverab [1.8K]

Recall your d = rt, distance = rate * time

if say train B has a speed of "r", then A has a speed of "r-14".

now, they each travelled those miles in the same time, say "t" hours.

$\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&-----&---&----\\
\textit{Train A}&220&r-14&t\\
\textit{Train B}&290&r&t
\end{array}
\\\\\\
\begin{cases}
220=t(r-14)\\
290=rt\implies \frac{290}{r}=\boxed{t}\\
----------\\
220=\boxed{\frac{290}{r}}(r-14)
\end{cases}
\\\\\\
220=\cfrac{290(r-14)}{r}\implies 220r=290r-4060\implies 4060=70r
\\\\\\
\cfrac{4060}{70}=r\implies 58=r$

how fast is Train A? well, r - 14.

7 0

3 years ago

Y = x + 4 Y=0 Solve each system of equations algebraraically

pogonyaev

Y=x+4 y=0
0=x+4
*you put 4 on the other side with minus before this number*
-4=x
x=-4

4 0

3 years ago