1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sweet [91]
4 years ago
7

Solve for b:4 = -2/3(5) + b

Mathematics
1 answer:
saveliy_v [14]4 years ago
4 0

Answer:

\frac{22}{3} = b

or

7\frac{1}{3} = b

(they are the same value, just different ways of writing it)

Step-by-step explanation:

4 = -\frac{2}{3} (5) + b

simplify

4 = -\frac{10}{3} + b

now use inverse operations

4 = -\frac{10}{3} + b

+\frac{10}{3}  +\frac{10}{3}

\frac{22}{3} = b

You might be interested in
The lifetime of a certain brand of battery is known to have a standard deviation of 9 hours. Suppose that a random sample of 90
Rina8888 [55]

Answer:

lower limit : 36.44

upper limit : 39.56

Step-by-step explanation:

Given :

s = 9

n = 90

x = 38.9

Alpha, α = 0.10

∴ $z_{\alpha/2}=z_{0.05} = 1.645$

The confidence interval is :

$=x \pm\left(z_{\alpha /2} \times \frac{s}{\sqrt{n}}\right)$

$=38.9 \pm\left(1.645 \times \frac{9}{\sqrt{90}}\right)$

$=38.9 \pm 1.56$

$=(36.44, 39.56)$

Therefore,

lower limit : 36.44

upper limit : 39.56

3 0
3 years ago
Solve the formula for C. Profit: P=R−C C=
Kipish [7]
You want to isolate C, so the first step would to have it be positive. You would do this by adding C to both sides of the equation to cancel the C on one of the sides out like this:
p + c = r - c + c \\ p + c = r
. Then you want to cancel out the P, so you subtract it on both sides like this:
c + p - p = r - p \\ c = r - p
And that is your answer
6 0
3 years ago
90% of runners who started a marathon completed it. Of those, 30% are men. If 270 men completed the marathon, then how many tota
il63 [147K]

Given- 90% of runner completed the marathon.

out of which 30% are man.

To proof -  let the total number of runner be y.

the men completed the marathon be 30% of the 90%.

thus we have

30% of 90% of y = 270

\frac{30}{100}×\frac{90}{100}×y = 270

now solving the above equation

we get

\\y=\frac{270\times 100\times 100}{90\times 30}

Thus solving the equation

y = 1000

Thus the total runners of men who completed marathon be 1000.

Hence proved










7 0
3 years ago
A deposit of $1,500 is made into a savings account which earns 4 5 /8
MAVERICK [17]

Answer:

$1880.48  to the nearest cent.

Step-by-step explanation:

Total after n years = P(1 + r)^n    where P = initial deposit, r = the rate as a fraction.

4 5/8 % = 0.04625.

Here the total after 5 years  = 1500(1 +  0.04625)^5

= $1880.48  to the nearest cent.

5 0
3 years ago
Bob Nale is the owner of Nale's Quick Fill. Bob would like to estimate the mean number of gallons of gasoline sold to his custom
Mnenie [13.5K]
<h2>Answer with explanation:</h2>

As per given , we have

\ovreline{x}=8.17

\sigma=2.2

n= 64

a) Since , the sample mean is the point estimate for the population mean.

Therefore, the point estimate of the population mean =\ovreline{x}=8.17

b) Critical z-value for 99% confidence : z_{\alpha/2}=2.576

Confidence interval :

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

8.17\pm (2.576)\dfrac{2.2}{\sqrt{64}}

8.17\pm 0.7084

(8.17-0.7084,\ 8.17+0.7084)=(7.4616,\ 8.8784)\approx (7.46,\ 8.88)

Hence, the 99 percent confidence interval for the population mean is between 7.46 and 8.88.

8 0
3 years ago
Other questions:
  • Find an equivalent ratio for 17:5
    11·1 answer
  • Forrest is texting while driving along the freeway at 70 miles per hour. How many feetdoes the car travel during the 3-second in
    5·1 answer
  • 11 over 4 as a fraction
    9·2 answers
  • STUCK ON GEO TEST PLEASE HELL ASAP!
    9·1 answer
  • -7(x + 4)<br> (Distributive property)
    7·2 answers
  • 4x+y=7 slope and y-intercept​
    12·1 answer
  • Find the slope of the given line on the graph. REMEMBER: Rise over run! <br> Pls show work!
    5·1 answer
  • A dentist notices that many of his patients that have been complaining of gum soreness have been using a particular brand of tee
    14·1 answer
  • Solve -36 4/9-(-10 2/9)-(18 2/9)
    15·1 answer
  • The value of a share of stock decreases in value at a rate of $1.10 per hour during the first 3.5 hours of trading. Enter and so
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!