In an orchard, for every 5 green apples there are 2 red apples. What is the ratio of green apples to red apples?

Insert brackets to make this calculation right 4x2+5-3=

pentagon [3]

Salutations!

Insert brackets to make this calculation right 4x2+5-3

The brackets should be inserted outside 2+5. If you add brackets outside teh rest of the numbers the calculation would not make sense.

4 × (2 + 5) - 3

Hope I helped (:

have a great day!

8 0

3 years ago

∠1 and ∠2 are complementary angles.

Sedbober [7]

38 degrees
x+52=90
90-52=36
Therefore, angle 2 equals 36 degrees

5 0

3 years ago

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Solve 3x + 2 = 15 for x using the change of base formula log base b of y equals log y over log b. −1.594 0.465 2.406 4.465

disa [49]

<u>Answer:</u>

The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.

<u>Solution:</u>

Given, expression is $3^{(x+2)}=15$

We have to solve the above expression using change of base formula which is given as

$\log _{b} a=\frac{\log a}{\log b}$

Now, let us first apply logarithm for the given expression.

Then given expression turns into as, $x+2=\log _{3} 15$

By using change of base formula,

$x+2=\frac{\log _{10} 15}{\log _{10} 3}$

x + 2 = 2.4649

x = 2.4649 – 2 = 0.4649

Hence, the value of x is 0.465 approximately and second option is correct one.

3 0

3 years ago

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Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the dail

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Daily temp(in F) Cakes sold

42 39

45 52

48 31

54 61

59 72

62 35

64 61

65 34

67 58

75 45

84 24

To find whether there is an association between these two let us find the correlation coefficient between these two variables.

r=-0.1975

Since |r|<0.5, correlation is weak.

Let us test the hypothesis r =0

H0:r=0

Ha:r not equals 0

Test statistic = $\frac{r\sqrt{n-2} }{\sqrt{1-r^2} } \\=\frac{-0.1975\sqrt{11-2} }{\sqrt{1-0.1975^2} }\\=\frac{-0.5625}{{0.9803} } \\=-0.5738$

p =0.298

Since p value >0.10, at 90% significance level we accept that there is no association.

6 0

3 years ago

Students from two age groups were surveyed to see how they travel to school. Here are the results:

liq [111]

Answer:

The table representing the number of students by which mode of transport they travel is given as:

Walk or bike Bus Car Row Total

Below age 15 87 60 18 165

Age 15 and above 65 50 80 195

Column Total 152 110 98 360

We know that a relative frequency of an event is the ratio of frequency to the total number of trials.

i..e we divide each frequencies by 360 to obtain a two-way relative frequency.

Hence,the table is given as:

Walk or bike Bus Car Row Total

Below age 15 0.24 0.17 0.05 0.46

Age 15 and above 0.18 0.14 0.22 0.54

Column Total 0.42 0.31 0.27 1

6 0

3 years ago

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