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
mart [117]
2 years ago
15

The sum of a number times 8 and 21 is less than -16.

Mathematics
1 answer:
vodka [1.7K]2 years ago
7 0

Hello.

First of all, let the number be t.

8 times t can be written like this:

\mathrm{8t}

Notice that the number is before the variable and the times sign (×) is not there.

We can write it as 8×t, but we usually write it as 8t.

The sum of means we add:

8t+21

Now, "less than" is "<" :

\mathrm{8t+21 < -16}

Therefore, the answer is

\mathrm{8t+21 < -16}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

You might be interested in
Oliver rides his bike 43 miles in 2.5 hours. How many miles will he ride in 3.5 hours?
VLD [36.1K]

Answer:

60.2 miles.

Step-by-step explanation:

43 / 2.5 = 17.2 << unit rate

17.2 x 3.5 = 60.2

5 0
2 years ago
Eight randomly selected customers at a local grocery store spent the following amounts on groceries in a single visit: $216, $18
chubhunter [2.5K]

Answer:

a) 910

b) 828100

c) 144320

Step-by-step explanation:

a. ∑y

This is the sum of all values of y. So

\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910

b. (∑y)^2

This is the square of the sum, so the square of 910, that we found in the previous item.

910² = 828100

c. ∑y^2

This is the sum of the squares of each amount spent. So

\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320

8 0
2 years ago
PLEASE HELP
Finger [1]

The range of the function is \{-19,-4,16\}

Explanation:

The function is f(n)=5n-4

The domain of the function is \{-3,0,4\}

We need to find the range of the function.

The range can be determined by substituting the values of domain in the function.

Thus, the range of the function when the domain is -3 is given by

f(-3)=5(-3)-4

         =-15-4

         =-19

Thus, the range is -19 when n=-3

The range of the function when the domain is 0 is given by

f(0)=5(0)-4

       =0-4

       =-4

Thus, the range is -4 when n=0

The range of the function when the domain is 4 is given by

f(4)=5(4)-4

       =20-4

       =16

Thus, the range is 16 when n=4

Thus, the range of the function is \{-19,-4,16\} when their corresponding domain is \{-3,0,4\}

Arranging the range in order from least to greatest is given by

\{-19,-4,16\}

Hence, the range of the function is \{-19,-4,16\}

6 0
3 years ago
nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep
Arlecino [84]

Answer:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146

P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389

And replacing we got:

P(X \geq 2) = 1-P(X

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=30, p=0.05)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Solution to the problem

For this case we want this probability:

P(X \geq 2)

And we can use the complement rule and we got:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146

P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389

And replacing we got:

P(X \geq 2) = 1-P(X

3 0
3 years ago
The Jones family had two gallons of milk before breakfast. The family used two quarts of milk during breakfast. How many quarts
mixer [17]

Answer:

2

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Solve the compound inequalities: −7x−10≤60 and x−7&lt;−6
    9·1 answer
  • Which of the following contextual situations accurately models the expression -125 - 25 ?
    14·1 answer
  • A rectangle and square have the same area.
    12·2 answers
  • What are the missing statements in steps 6 and 10 of the proof? Statement 6: Statement 10: Statement 6: || Statement 10: || Stat
    15·2 answers
  • Jill is applying for a car loan. which individual will run her credit report to determine if she's eligible for a car loan?
    5·2 answers
  • A rectangle is shown. All angles are right angles. The length of one side is 2 x and the length of another side is 3 x + 3. The
    13·2 answers
  • Determine the exact value of each of the following expressions. Your answers should involve fractions and square roots, and not
    13·1 answer
  • What is the surface area of the cone in terms of π. Enter your answer in the box. and the radius is 8cm and the height is 15
    5·1 answer
  • Simplify 1 to lowest terms and find an equivalent fraction that has a denominator of 32.
    8·1 answer
  • A group of children made 1,200 snowflakes in 3 days. They made 30% of the snowflakes on the first day of the project. On the sec
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!