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4 years ago

Plz help 98 pts show all work

Mathematics

2 answers:

Sergio [31]4 years ago

5 0

Y intercept (0 , 5)

The y intercept in context of the problem tells us that at 0 hour, there was already 5 wasps in the garden.

Rate of change: Using (0,5) and (1 , 9)

Rate of change = ( 9 - 5)/(1 - 0) = 4/1 = 4

Rate of change = 4 wasps per hour.

The rate of change in context of the problem tells us that there are 4 wasps in the garden per hour.

Alla [95]4 years ago

4 0

The y-intercept tells us the initial value of our graph. In this case, it means there were 5 wasps in the garden at the beginning of the day.

The rate of change is 4 wasps appear every hour.

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he test scores on the Chapter 10 mathematics test have a mean of 52 and a standard deviation of 10. Andrea scored 76 on the test

tekilochka [14]

Answer:

Step-by-step explanation:

Hello!

The mean is a measurement of central tendency that shows what is the most expected value of the variable. The standard deviation is a measurement of variability, it shows you how distant or dispersed are the values of a certain population or sample in regards to the value of the mean.

In this example the variable is X: score obtained on a math test.

It's mean is μ= 52 and its standard deviation is σ= 10

To know how many standard deviations away is a value of X concerning the mean you have to first subtract the mean to the value of X, X - μ, and then you have to divide it by σ:

(X - μ)/ σ

If X=76

(76 - 52)/ 10= 2.4

The score obtained by Andrea is 2.4σ away from the mean.

I hope it helps!

3 0

3 years ago

68 less than 55 times a number is equal to the number. I will make brainliest

kap26 [50]

Answer:

5x - 68 = x

Step-by-step explanation:

number = x

5x - 68 = x

Solve for x:

5x - 68 = x

-68 = x - 5x

-68 = -4x

68 = 4x

x = 68/4

x = 17

7 0

3 years ago

Read 2 more answers

I Shall Name Thee Brainliest! (:

max2010maxim [7]

Answer:

hello, friend(✿◡‿◡)

Step-by-step explanation:

-7Q + 6 + 5Q = 15 - 7

Q=-1

3 (P+5) + P = 3(2+P)

P=-3

2(A+4) + 6A = 2(2 + 3A)

A=-2

6 0

4 years ago

Solve each exponential equation. 32^x = 81

vesna_86 [32]

Answer:

The solution is $x = 1.268$ .

Step-by-step explanation:

The best way to solve this exponential equation is applying the logarithm of base 10 to each side of the equality.

It is also important to remember the following logarithm proprierty:

$\log{a^{b}} = b \log{a}$

$32^{x} = 81$

$\log{32^{x}} = \log{81}$

$x\log{32} = \log81$

$1.505x = 1.908$

$x = \frac{1.908}{1.505}$

$x = 1.268$

The solution is $x = 1.268$ .

7 0

4 years ago

You have $25 to spend on picking 21 pounds of three different types of apples in an orchard. The Empire apples cost $1.40 a

Semmy [17]

Answer:

5 pounds of the Empire apples, 14 pounds of the Red Delicious apples, and 2 pounds of the Golden Delicious apples.

Step-by-step explanation:

Let's call the Empire apples weight at E, the Red Delicious at R, and the Golden Delicious at G. We know that the total weight must be 21 pounds so:

R + E + G = 21 (equation 1)

The total amount of spent must be $25, and the price given is per pound, so the priced paid is the cost multiplied by the weight:

1.40*E + 1.10*R + 1.30*G = 25 (equation 2)

And the weight of the Red Delicious must be equal to twice of the combined weight of the others:

R = 2*(E + G)

E + G = R/2 (equation 3)

Let's substitute equation 3 in equation 1

R + R/2 = 21

(2R + R)/2 = 21

3R = 42

R = 14 pounds.

So, E + G = 7

G = 7 - E (equation 4)

Let's substitute the result of R and the equation 4 in the equation 2:

1.40*E + 1.10*14 + 1.30*(7 - E) = 25

1.40E + 15.40 + 9.10 - 1.30E = 25

0.10E = 25 - 24.50

0.10E = 0.50

E = 5 pounds

G = 7 - E

G = 7 - 5

G = 2 pounds.

3 0

3 years ago