An ice cream factory makes 310 quarts of ice cream in 5 hours. How many quarts can they make per hour?

Answers

Answer 1
Answer: 62 quarts of ice cream can be made in 1 hour. brainliest?

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Suppose f (x) is a differentiable function such that f (1) = 7 and f ′(1) = 2. Use a tangent line approximation to estimate f (0.8)..

Answers

Tangent approximation,

f(x)=f(x1)+f'(x1)(x-x1)

Then,

f(x)=f(1)+f'(1)(x-1)=7+2(x-1)

And,

f(0.8)=6.6

Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ability to hit the ball so far. Designers, therefore, have proposed that new golf courses need to be built expecting that the average golfer can hit the ball more than 230 yards on average. A random sample of 177 golfers show that their mean driving distance is 230.7 yards, with a standard deviation of 41.8.1. Set up the null and alternative hypotheses to test for the designers belief.
a. H0 : µ ≥ 230 versus Ha : µ < 230
b. H0 : µ = 230.7 versus Ha : µ ≠ 230.7
c. H0 : µ ≥ 230.7 versus Ha : µ < 230.7
d. H0 : µ ≤ 230.7 versus Ha : µ > 230.7
e. H0 : µ ≤ 230 versus Ha : µ > 230
2. Find the value of the standardized test statistic.
a. 0.125
b. -0.125
c. 0.223
d. -0.7
e. 0.7
3. Find the P-value for the above mentioned test.
a. 0.8237
b. 0.0228
c. 0.5871
d. 0.4118
e. 0.0871

Answers

Answer:

a) e) H0 : µ ≤ 230 versus Ha : µ > 230

b) t=(230.7-230)/((41.8)/(√(177)))=0.223    

c. 0.223

c) p_v =P(t_((176))>0.223)=0.4118  

d. 0.4118

Step-by-step explanation:

Information given  

\bar X=230.7 represent the sample mean

s=41.8 represent the sample standard deviation

n=177 sample size  

\mu_o =230 represent the value to verify

t would represent the statistic  

p_v represent the p value

Part a

We want to verify if the true mean is higher than 230 yards, the system of hypothesis would be:  

Null hypothesis:\mu \leq 230  

Alternative hypothesis:\mu > 230  

The best option would be:

H0 : µ ≤ 230 versus Ha : µ > 230

Part b

The statistic is given by:

t=(\bar X-\mu_o)/((s)/(√(n)))  (1)  

Replacing the info given we got:

t=(230.7-230)/((41.8)/(√(177)))=0.223    

Part c

The degrees of freedom are:

df=n-1=177-1=176  

The p value would be given by:

p_v =P(t_((176))>0.223)=0.4118  

d. 0.4118

Is 16-7=4+5 true, false, or open?

Answers

Answer:

open

Step-by-step explanation:

Answer:

This is True.

Step-by-step explanation:

16-7=9

5+4=9

same ting

Write two fractions whose quotient is 28/45?

Answers

Answer:

  (7/9) ÷ (5/4) = 28/45

Step-by-step explanation:

Fractions can be divided by using the rule "invert and multiply". We can look at the factors of 28 and 45 to see what might have been multiplied to get these numbers.

  28 = 1·28 = 2·14 = 4·7

  45 = 1·45 = 3·15 = 5·9

So, there are a number of possibilities. A couple of them are ...

  28/45 = (7/9) × (4/5) = (4/9) × (7/5)

If we choose to use the first of these pairs of fractions, we can invert one of the fractions to make the denominator, then write the quotient as either of ...

 (7/9) ÷ (5/4)

or

  (4/5) ÷ (9/7)

The sum of the angle measures of any trapezoid is greater than the sum of the angle measures of any parallelogram.

Answers

Answer:

False. Trapezoids and parallelograms are both types of quadrilaterals. 4 sided figures. The sum of a quadrilateral's angles is always equal to 360. The sum of a trapezoid's angles, as well as the sum of a parallelogram's angles, will always be equal. I hope this answers your question.

Step-by-step explanation:

A train travels 45 feet in 1/10 if a second. How far will it travel in 3.5 seconds

Answers

The distance covered by the train in 3.5 seconds will be 1575 feet.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A train travels 45 feet in 1/10 in a second.

Then the speed will be

Speed = 45 / (1/10)

Speed = 45 x 10

Speed = 450 feet per second

The distance covered by the train in 3.5 seconds will be

Distance = 450 x 3.5

Distance = 1575 feet

More about the speed link is given below.

brainly.com/question/7359669

#SPJ2

Answer:

1575 ft

Step-by-step explanation:

Convert 1/10 to decimal to make the math simpler.

1/10 = 0.1

Divide 3.5 by 0.1.

3.5/0.1 = 35

Multiply 35 by 45.

35 × 45 = 1575

The train will travel 1575 feet in 3.5 seconds.