All categories

3 years ago

Translate the sentence into an equation.

Mathematics

2 answers:

LUCKY_DIMON [66]3 years ago

8 0

Answer:

The answer is 5

Step-by-step explanation:

(X +9) +6 = 5

Trava [24]3 years ago

5 0

The equation is (X+9)+6=5

You might be interested in

Which graph represents f(x)=4⋅5x ?

vovangra [49]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

While you're in the parking lot, you realize that both the lightbulbs and the light switches

Romashka [77]

Cost of Lightbulb = x

cost of switch is x-8

9x + 4(x-8) = 520.50

Use distributive property:

9x + 4x -32 = 520.50

Simplify:

13x -32 = 520.50

Add 32 to both sides:

13x = 552.50

Divide both sides by 13

X = 42.50

A lightbulb costs $42.50

A switch costs 42.50-8 = $34.50

4 0

3 years ago

Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct resul

o-na [289]

Answer:

H0:p= 0.80 H1: p< 0.80 one tailed test

Step-by-step explanation:

We state the null and alternative hypotheses as that the results are 80 % against the claim that the results are less than 80%.

H0:p= 0.80 H1: p< 0.80 one tailed test

p2= 0.8 , p1= 74/97= 0.763

q1= 1-0.763= 0.237 q2= 0.2

The level of significance is 0.05 .

The Z∝= ±1.645 for ∝= 0.05

The test statistic used here is

Z= p1-p2/ √pq/n

Putting the values:

Z= 0.763 -0.8 / √ 0.8*0.2/97

z= -0.037/ 0.0406

z= -0.9113

The Z∝ = ±1.645 for ∝= 0.05 for one tailed test.

As the calculated value does not fall in the critical region we fail to reject the null hypothesis. There is not sufficient evidence to support the claim that such polygraph results are correct less than 80% of the time.

Using the normal probability table.

P (Z < -0.9113)= 1- P(z= 0.9311) = 1- 0.8238= 0.1762

If P- value is smaller than the significance level reject H0.

0.1762> 0.005 Fail to reject H0.

8 0

4 years ago

Cassie has $20,000 in a savings account. The interest rate is 4% per year and is not compounded. How much interest will she lear

Mariulka [41]

Answer:

$24,000

Step-by-step explanation:

4 0

3 years ago

What is the 9th term of the geometric sequence 4, −20, 100, …?

sveta [45]

First, we are going to find the common ratio of our geometric sequence using the formula: $r= \frac{a_{n}}{a_{n-1}}$ . For our sequence, we can infer that $a_{n}=-20$ and $a_{n-1}=4$ . So lets replace those values in our formula:
$r= \frac{-20}{4}$
$r=-5$

Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula: $a_{n}=a_{1}*r^{n-1}$ . We know that $a_{1}=4$ ; we also know for our previous calculation that $r=-5$ . So lets replace those values in our formula:
$a_{n}=4*(-5)^{n-1}$

Finally, to find the 9th therm in our sequence, we just need to replace $n$ with 9 in our explicit formula:
$a_{9}=4*(-5)^{9-1}$
$a_{9}=4*(-5)^{8}$
$a_{9}=1562500$

We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>

4 0

3 years ago